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{\bf CURRICULUM VITAE OF DORON ZEILBERGER}


\medskip
{\bf Last Update: March 4, 2026}
\medskip
{\bf Address}
\medskip
Doron Zeilberger, Department of Mathematics,
Hill Center-Busch Campus, Rutgers University
110 Frelinghuysen Rd Piscataway, NJ 08854-8019
(732) 445-1326. zeilberg@math.rutgers.edu  .
\medskip
Home Page: http://www.math.rutgers.edu/\Tilde zeilberg/
\medskip
{\bf Personal Data}
\medskip
Date of Birth:    July 2, 1950.
\smallskip
Place of Birth:   Haifa, Israel.
\smallskip
Marital Status:   Married (Jane Legrange), three children (Celia, 
Tamar, Hadas).
\smallskip
Citizenship: USA (naturalized Jan 1988.)
\bigskip
{\bf Education}
\smallskip
University of London, B.Sc. with First Class Honours, 1972.
\medskip
The Weizmann Institute of Science, Israel, Ph.D., 1976.
\medskip
{\bf Employment History}
\medskip
2001- : Rutgers University (New Brunswick), Board of Governors Professor.
\medskip
2000-2001: Temple University, Laura H. Carnell Professor.
\smallskip
1990- 1999:  Temple University, Professor.
\smallskip
1988-1990:  Drexel University, Professor. 
\smallskip
1983-1988:  Drexel University, Associate Professor.
\smallskip
1982-1983:  University of Pennsylvania, Lecturer.
\smallskip
1980-1982:  The Weizmann Institute of Science, Senior Scientist.
\smallskip
1979-1980:  University of Illinois, Urbana, Visiting Lecturer.
\smallskip
1978-1979:  Georgia Institute of Technology, Visiting Assistant
Professor.
\smallskip
1977-1978 and Fall 1993:  Institute for Advanced Study, Princeton, Member.
\medskip
{\bf Current Research Interests}
\medskip
Experimental Mathematics,
Computer Algebra, Combinatorics and Special Functions.
\medskip
{\bf Prizes}
\medskip
1) 1983-With David Bressoud won \$50 from Richard Askey and George
Andrews for the proof of the q-Dyson conjecture.
\medskip
2) 1985-Won 10 bottles of wine from G. Xavier Viennot for a bijection
between binary trees with n leaves and Strahler number k and
ordered trees with n vertices and pruning order k.
\medskip
3) 1986-With Laurent Habsieger won \$50 from Richard Askey for
a proof of the $G_2$ case of Macdonald's root system conjecture.
\medskip
4) 1987- Won \$50 from Richard Askey for a proof of the $G_2$- dual 
case of the Macdonald-Morris conjecture.
\medskip
5) 1990- The Lester R. Ford award for ``the best paper in the
American Mathematical Monthly in 1989". Given for my paper
``Kathy O'Hara's constructive proof of the unimodality of the
Gaussian polynomials". (Monetary Award: \$500). Reference:
{\it Notices of the AMS} {\bf37}, \#8 (Oct 1990), p. 1034;
{\it Focus} {\bf10} \#6 (Nov-Dec 1990) p. 9.
\medskip
6) 1998-The AMS Leroy Steele prize for `seminal contributions to
research', joint with Herb Wilf. (Monetary award: (1/2)(\$4000)).
Reference:{\it Notices of the AMS} {\bf 45}, \#4 (Apr. 1998), pp. 504-508;
\medskip
7) 1998-With Aaron Robertson (jointly)
and Tomasz Schoen (independently) won \$100 from Ron Graham for
a determining the asymptotic minimal number of Schur triples.
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8) 2004-Euler Medal for ``outstanding contributions to combinatorics'',
Institute of Combinatorics and Its Applications.
\medskip
9) 2016- The American Mathematical Society's David P. Robbins Prize,
(joint with Manuel Kauers and Christoph Koutschan)


\bigskip
{\bf Invited, Plenary, and Keynote Conference Talks}
\medskip
May 1982 - Oberwolfach.
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May 1985 - Arizona State Andrews Conference.
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June 1985 - Colloque de Combinatoire Enumerative, UQAM, Montreal.
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December 1986 - Gillis Symposium, Rehovot, Israel.
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March 1988-Workshop on q-series, Institute of Mathematics and its
applications, Minnesota.
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July 1988 - Oberwolfach.
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June 1989 - Joint AMS SIAM meeting on Probabilistic and Analytical
Methods in Combinatorics, Arcata, Ca.
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May 1990 - S\'eminaire Lotharingien  de combinatoire, Alsace (Principal
Speaker).
\medskip
December 1990 - Special Session on algebraic combinatorics, Canadian
Mathematical Society Annual Conference, Waterloo, Ontario.
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May 1991 - Formal Power Series and Algebraic Combinatorics III,
Bordeaux, France.
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July 1991 - Minisymposium on constructive combinatorics, ICIAM,
Washington, DC.
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March 1993 - Special session in combinatorics, AMS Meeting,
Knoxville, TN.
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May 1993 - JERUSALEM Combinatorics 
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September 1993 - Workshop on ``combinatorics and computer algebra",
Cornell University, Ithaca, NY. (Principal speaker)
\medskip
May 1994 - Algebraic Combinatorics III, Ann Arbor, MI.
\medskip 
Nov 1994 - AMS, Richmond, VA. (Hour Speaker.)
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Jan. 1995 - Oberwolfach
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June 1995 - Principal Lecturer, Fields Institute
workshop on Special Functions, on `special functions and computer algebra.
\medskip
Jan. 1996 - Oberwolfach
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June 1996 - Wilf symposium
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July 1996 - SOCA 96', Nankagi Inst., Tijanin, China.
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Oct. 1996 - MSRI, Berkely, Workshop on Enumeration and Posets.
\medskip
May 1997 - Workshop on experimental mathematics and combinatorics., CRM,
Montreal.
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Aug. 1997 - Number Theory and Combinatorics, Penn State, (plenary).
\medskip
June 1998 - AMS Summer conference on special functions, q-series, and
combinatorics, Mt. Holyoke.
\medskip
July 1998 - IWOP 4, Madrid, Spain , (plenary).
\medskip
Aug. 1998 - Combinatorics and Physics, Los Alamos.
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Oct. 1998 - MSRI workshop on computer algebra (plenary).
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Nov. 1998 - EPADEL MAA sectional meeting (plenary).
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Nov. 1999 - Symbolic Computation, Combinatorics, and Physics,
Gainseville (plenary).
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Sept. 2000 - LACIM 2000, Montr\'eal .
\medskip
March 2001 - Frontiers of Mathematics Lecturer (3 talks), Texas A\&M
\medskip
March 2001 - CombinaTexas
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April 2001 - MAA NJ Section (plenary).
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June 2001 - IJCAR, Siena, Italy (plenary).
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Aug. 2001 - ICDEA, Augsburg, Germany
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May 2002 - ECCAD 2002, Queens, NY (plenary).
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July 2002 - IMA Workshop on Special Functions for the Digital age, Minneapolis.
\medskip
Aug. 2002 - International Congress on Mathematical Software 2002, Beijing 
\medskip
Sept. 2002 - DMSCSD 2002, Albany (plenary)
\medskip
Oct. 2002 - Bruno Buchberger's 60th Birthday Conference, RISC-Linz (plenary).
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April 2003 - Joyal Symposium, LACIM, Montreal.
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May 2003 - Zeilberger MiniConference, MIT, Cambridge, MA.
\medskip
June 2003 - ``Alternating Sign Matrices Conference'', in honor
of David Robbins, IDA-CCR, Princeton, NJ.
\medskip
Oct. 2003 - Howard-Hayden Lecturer, Univ. of Kentucky.
\medskip
Sept. 2004 - ADG2004, Gainseville, keynote .
\medskip
March 2005 - 3rd conference on Pattern Avoidance, (keynote )
\medskip
March 2005 - Special year in Combinatorics and Number Theory, 
Gainseville, History Lecture
\medskip
July 2005- Mathematics and Narrative, Mykonos, Greece.
\medskip
March 2006- 37th International Southeastern Conference on
Combinatorics, Graph Theory, and Computing, Boca Raton, Florida (plenary).
\medskip
April 2006-Waterloo Workshop on Computer Algebra, in honor of S.A. Abramov.
\medskip
April 2006- Graduate Student Combinatorics Conference, Madison, Wisconsin
(keynote).
\medskip 
Oct. 2006-``Enumerative Combinatorics'', Harvey Mudd College, Claremont, CA
(plenary)
\medskip
Jan. 2007- Special Session on Experimental Mathematics, AMS Annual
Meeting, New Orleans, LA. 
\medskip 
 Feb. 2007-``Distinguished Lecture Series'' (Feb. 20, 2007)
Math. Assoc. America, Washington, DC.
\medskip 
Feb. 2007-``Combinatorial Problems Raised by Statistical
Mechanics'', Univ. of Montr\'eal. (plenary)
\medskip 
Oct. 2007- Center For Communication Research [Inst. for Defense Analyses]
 (internal) conference,
Princeton, NJ. (keynote)
\medskip 
Nov. 2007-  Symposium to Celebrate Gregory Chaitin's 60th Birthday,
IBM Watson Research, Yorktown  Heights, NY
\medskip
Jan. 2008- Special Session on Applications of Computer
Algebra to Combinatorics, AMS Annual
Meeting, San Diego, CA.
\medskip
Jan. 2008-MAA Short Course in Combinatorics
\medskip
April 2008 - MAA NJ Section (plenary).
\medskip
May 2008-Waterloo Workshop on Computer Algebra, in honor of 
Gregory Egorychev's 70th Birthday.
\medskip
Dec. 2008-Fourth International Conference On Combinatorics 
and Computing, Auckland, New Zealand.
\medskip
March 2010-The American Mathematical Society's Erd\"os Memorial Lecture,
Lexington, KY (named key-note address of an AMS meeting).
\medskip
June 2010- Berlin Mathematics School Colloquium, Berlin, Germany .
\medskip
June 2010-The Weizmann Institute of Science Pekeris Memorial Lecture .
Rehovoth, Israel
\medskip
July 2010-The 9th Mathematical Knowledge Management conference 
Paris, France (key-note) .
\medskip
May 2011- Young Canadian Research Conference, Vancouver, Canda (key-note) .
\medskip
June 2012- GasCom  and ViennotFest, Bordeaux.
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Nov. 2012- Ramanujan 125th Birthday Conference, Univ. of Flodira, Gainseville, FL.
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April 2013- LAGOS, Cancun, Mexico.
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July 2013- 24th British Combinatorics conference
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Sept. 2014, S\'eminaire Lotharingien de Combinatoire (Principal), Bertinoro, Italy
\medskip
June 2015- CANADAM 2015 (forced to cancel due to a delayed flight)
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Aug 2015- DART VI, Beijing (Plenary)
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Sept 2015: Fields Institute Workshop on Symbolic Computation 
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Dec  2015: Fields Institute Workshop on Computer Proofs 
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March 2016: Alladi60, Gainseville, FL 
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June 2016: Riordan Arrays conference, Bloomington, IL, (key-note)
\medskip
March 2017: Distinguished Lecture Series, Georgia Southern University
\medskip
July 2017: ``Applications of Computer of Algebra'', Jerusalem, Israel (plenary)
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Oct 2017: ESI Programme on ``Algorithmic and Enumerative Combinatorics'', Vienna, Austria [was forced to cancel due to teaching obligations]
\medskip
Oct. 2017: Discrete Math Day, Queens College,
\medskip
June 2018: "Combinatory Analysis", in honor of George Andrews's 80th birthday, Penn State. (plenary)
\medskip
June 2018: "RetakhFest", in honor of Vladimir Retakh's 70th birthday, Angers, France. (invited)
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June 2019: "CARMA Workshop on Computer-Aided proofs", CARMA, University of Newcastle, Australia. (plenary)
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March 2020: SUMS DUG, Brown University. (plenary)
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June 21-25, 2021: Lattice Paths, Combinatorics and Interactions, France, hybrid (invited) 
\medskip
July 26-29, 2021: A conference in honor of Doron Zeilberger's 71th birthday and Amitai Regev 81th birthday will take
place at the Weizmann Institute, Rehovot Israel.
\medskip
Sept. 7-8, 2022, ICECA 2022  International Conference on Enumerative Combinatorics and Applications, Haifa (remote) (plenary)
\medskip
June 6-9, 2024: ``The Legacy of Ramanujan'', Penn State (invited).
\medskip
April 11-13, 2025,  ``Ultrafinitism: Physics, Mathematics, and Philosophy'', Columbia University (invited)
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Aug. 25-27, 2025, ICECA 2025  International Conference on Enumerative Combinatorics and Applications, Haifa (remote) (plenary)


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{\bf Further Information:}
\medskip
1) Held  one month visiting professorships, University of Strasbourg,
March 1983, May 1990, July 1994.
\smallskip
2) Invited speaker in the special years in Combinatorics, MIT, 1984-1985;
Mittag-Leffler Inst., Sweden, 1991-92.
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3) Erd\"os Number:2 (via J.Gillis).
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4) Considered an outstanding teacher.
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5) Co-editor (with P. Paule) of special issue of J. Symbolic Computation
on ``combinatorics and computer algebra", 1992.
\smallskip
6) Member of Program Committee, Formal Power Series and 
Algebraic Combinatorics IV, (June 92, Montr\'eal), and V (June 93,
Florence), and VI (June 94, Rutgers).
\smallskip
7) ``Bourbakis\'e" (Expose 746, by P. Cartier,  appeared in the
1991-92 volume of the S\'eminaire Bourbaki, Ast\'erisque {\bf 206}.)
\smallskip
8) Member of International Advisory Committee of the  Special Functions
workshop that was held at the Fields Inst., June, 1995.
\smallskip
9) Member of Scientific Committee for special year on ``Combinatorics
and Theory of Groups'', CRM, Montreal, 1996-1997.
\smallskip
10) ``Gosper's and Zeilberger's Algorithms" is subject classification
33F10 of Math Reviews.
\smallskip
11) Chosen by Persi Diaconis as ``favorite (still living!) mathematician''.


\bigskip

{\bf Grants and Contracts:}
\medskip
NSF DMS-8400204: ``Proving Identities by Combinatorial Methods"
(1984-1986), Principal Investigator, \$24,000.
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NSF DMS-8600243: ``Towards a General Theory of Combinatorial Bijections"
(1986-1988), Principal Investigator, \$36,000.
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NSF DMS-8800663:``Constant Term Identities and Combinatorial Enumeration"
(1988-1991), Principal Investigator. \$60,000.
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NSF DMS-8901610:``Asymptotic Methods in Combinatorics" (1989-1992),
co-Principal Investigator (joint with Prof. Jet Wimp, Drexel University).
\$120,00.
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NSF DMS-9123836:``Computer-Generated and Computer-Assisted research in
Combinatorics and Special Functions, (1992-1995) Principal
Investigator, \$180,000.
\medskip
NSF DMS-9500646:``Combinatorics, Special Functions, 
and Computer Algebra''(1995-1998),
 Principal Investigator, \$120,000.
\medskip
NSF DMS-9732602:``Targeted Proofs Machines in Combinatorics''
(1998-2001), Principal Investigator, \$180,000.
\medskip
NSF DMS-9732602:``Targeted Proofs Machines in Combinatorics''
(1998-2001), Principal Investigator, \$180,000.
\medskip
NSF DMS-00403:``Symbolic Computation and Combinatorics''
(2001-2004), Principal Investigator, \$180,000.
\medskip
NSF DMS-0401124:``Automating Combinatorics''
(2004-2009), Principal Investigator, \$239,023 .
\medskip
NSF DMS-0901126: ``Rigorous Experimental Mathematics'' (2009-2015),
\$392,127 
\medskip
[Note: when I turned 65 years-old I decided to no longer apply for renewal, in order to give young people a better chance]

\bigskip
{\bf Service to the Profession:}
\smallskip
{\bf Member of Editorial Boards of}: 
{\it Advances in Applied Mathematics} (co-editor-in-chief 1998-2010, resigned 2016),
J. of Difference Eq. and Applications,
Electronic J. of Combinatorics (resigned 2013), 
Ramanujan Quarterly, Annals of Combinatorics, INTEGERS,
J. of Symbolic Computation.

\bigskip
{\bf Ph.D. Theses Supervised:}
\smallskip                                      
Sheldon Parnes, Temple, 1993, [Industry, Coloardo].
\smallskip                                      
Ethan Lewis, Penn, 1994, [IBM, Israel].
\smallskip                                      
Craig Orr, Temple, 1994, [National Security Agency].
\smallskip                                      
John Majewicz, Temple, 1997, [Comm. College of Phila, now Flodira Keys Community College].
\smallskip                                      
John Noonan, Temple, 1997, [Mt. Vernon Nazarene College, OH].
\smallskip                                      
Tewodros Amdeberhan, Temple, 1997, [Tulane].
\smallskip                                      
Melkamu Zeleke, Temple, 1998, [Wiiliam Patterson Univ., Wayne, NJ].
\smallskip                                      
Aaron Robertson, Temple, 1999, [Colgate Univ., Hamilton, NY].
\smallskip                                      
Akalu Tefara, Temple, 2000, [Grand Valley State Univ., MI,  visiting Assoc. Prof. MIT (2007)].
\smallskip                                      
Anne Edlin, Temple, 2000, [Lasalle University, PA]
\smallskip                                      
Xinyu Sun, Temple, 2004, [Texas A\&M (2004-2007), Tulane(2007-2010), Xavier (2010-)]
\smallskip                                      
Xiadong Wen, Temple, 2005 [Wolfram Research]
\smallskip                                      
Vince Vatter, Rutgers, 2005 [St. Andrews Univ., Scotland (2005-2007), then D.E. Shaw (2007), Darthmouth (2008-2010), Univ. of Florida (2010-)]
\smallskip                                      
Moa Apagodu, Rutgers, 2006 [Virginia Commonwealth University]
\smallskip                                      
Lara Pudwell, Rutgers, 2008 [Valparaiso University, Indiana]
\smallskip                                      
Thotsaporn Thanatipanonda, Rutgers, 2008 [Dickinson College then RISC-Linz, Austria]
\smallskip                                      
Arvind Ayyer (joint with Joel Lebowitz), Rutgers, 2008 [Saclay, France (2008-2011), Univ. of California, Davis (2011-)].
\smallskip                                   
Eric Rowland, Rutgers, 2009 [Tulane (2009-2011), UQAM(2011-)]
\smallskip 
Paul Raff, Rutgers, 2009 [Rutgers School of Communication (2009-2010),
Amazon (2010-2012), currently (2015-) Principal Data Scientist in the Analysis and Experimentation Group at Microsoft, Redmond,WA]
\smallskip 
Anxrew Baxter, Rutgers, 2011 [Penn State]
\smallskip 
Emilie Hogan, Rutgers, 2011, [Pacific Northwest National Laboratory].
\smallskip 
Brian Nakamura , Rutgers, 2013, [DIMACS 2013-2015, private industry, 2015-].
\smallskip 
Kellen Myers, Rutgers 2015 [Univ. of Tenn., Knoxville] .
\smallskip 
Nathaniel Shar, Rutgers, 2016 [Google, CA] .
\smallskip 
Matthew Russell, Rutgers, 2016 [Rutgers] .
\smallskip                                      
Nathan Fox, Rutgers, 2017 [ initially Wooster College, Ohio] .
\smallskip                                      
Anthony Zaleski, Rutgers, 2018 [Blueshift Asset Management]
\smallskip                                      
Andrew Lohr, Rutgers, 2018 [Microsoft, WA]
\smallskip                                      
Bryan Ek, Rutgers, 2018 [SPAWAR, Charleston, SC] 
\smallskip                                      
Yukun Yao (May 2020) [initially Goldman-Sachs]
\smallskip                                      
Mingjia Yang (May  2020)
\smallskip                                      
Yonah Biers-Ariel (May 2020) [Jane Street]
\smallskip                                      
Blair Seidler (expected, Aug. 2023) {Fair Lawn (NJ) highschool]
\smallskip                                      
Robert Dougherty-Bliss (May 2024) [Dartmouth]
\smallskip                                      
AJ Bu (May 2024) [Rutgers]
\smallskip                                      
George Spahn  (May 2024) [Blueshift]

\bigskip
{\bf Current Ph.D. Students}

\smallskip
Lucy Martinez (expected, May 2027)
\smallskip
Auora Hiveley (expected, May 2028)
\smallskip
Pablo Blanco (expected, May 2028)
\bigskip

{\bf Co-Chair of Organizing Committee:} `Classical Combinatorics',
an International Conference in honor of Dominique Foata, July 7-10, 2000.

\bigskip 
{\bf Past Courses Taught:}
\medskip
{\bf Calculus:}
1982-1983 (Penn), 1983-1990 (Drexel), 1990-2000 (Temple):
Number of students ranging
from 12 (Honours) to 250 (large lecture). Whenever there is
a common final, my sections, score, on the average, 
between 10 to 20 points (out of 100) higher than the average section.
I was the only professor at Penn (1982-1983) who made it to the
list of ``best teachers" in all his four courses.
Calculus I (Fall 2003), 
Calculus I (Fall 2004), Calculus II (Fall 2005),
Calculus III (Fall 2006), Calculus I (Fall 2008),
Calculus III (Fall 2009),
Intoruction to Linear Algebra (Fall 2010),
Advanced Calculus for Engineers (Fall 2011).
Many others.


\bigskip
{\bf Other Past Undergraduate Courses:} Linear Algebra, Differential Equations,
Advanced Calculus for Engineering,
Mathematical Programming, Computer Algebra, Problem-Solving.
Multivariate Calculus, Graph Theory..

\bigskip
{\bf Past Graduate Courses:} Computer Algebra and Experimental Mathematics
(1990, 1992, 1994, 1996, 1998, 1999).
Combinatorics (1991, 1993, 1995, 1997, 2000, 2001, 2003, 2004).
Famous Open Problems (1999).
Experimental Mathematics (Fall 2001, Springs 2003-2026),
Combinatorics I and II(Fall 2002 and Spring 2003 respectively).
Discrete Algorithms (Spring 2005). 

\bigskip
{\bf Software Development} 

My website
{\tt http://www.math.rutgers.edu/\Tilde zeilberg/} has many
computer-algebra packages available free of charge. They are used
not only by mathematicians, but also by scientists, especially
physicists, computer-scientists, and engineers, who need
combinatorial sums and special functions on a regular basis.
My algorithms are now part of {\tt Maple } (the packages
{\tt sumtools} and {\tt SumTools}), 
and soon will also be part of Mathematica.
 
\bigskip
{\bf Curriculum  Development} 

An innovative  grad course in Experimental Math is currently
under development, that will hopefully turn into the
first textbook in this new area. I also have crystal
clear Calculus handouts, very popular with students,
freely available from my website.

\bigskip
{\bf Seminar Organizer}

With my graduate students Lucy Martinez and Aurora Hiveley,
I am organizing a very successful and
innovative seminar on Experimental Mathematics, that is running since 2003.
It is now via Zoom.
All the talks are uploaded to the internet and may be viewed by anyone interested.

See here {\tt https://sites.math.rutgers.edu/\~zeilberg/expmath/}, where there are links to the seminar archive.

\bigskip
\bigskip
 
\centerline{\bf Refereed Journal PUBLICATIONS}
\medskip
 
Most of my papers are available on-line in:
{\tt http://www.math.rutgers.edu/\Tilde zeilberg/papers1.html}.
\medskip
1. (With D. Nicholson, P. Rabinowitz and N. Richter) {\it On the Error in
the Numerical Integration of Chebyshev Polynomials}, Math.
Computation {\bf 25}, 79-86 (1971).
 
2. {\it Uniqueness Theorems for Harmonic Functions of Exponential
Growth}, Proc. Amer. Math. Soc. {\bf 61},  335-340 (1976).
 
3. {\it Binary Operations in the set of solutions of a Partial
Difference Equation}, Proc. Amer. Math. Soc. {\bf 62}, 242-244
(1977).
 
 
4. {\it A new approach to the theory of Discrete Analytic
Functions}, J. Math. Anal. Appl. {\bf 57}, 350-367 (1977).
 
 
5. (With H.Dym) {\it Further properties of Discrete Analytic
Functions}, J. Math. Anal. Appl. {\bf 58}, 405-418 (1977).
 
 
6. {\it A new basis for Discrete Analytic Functions}, J. Australian
Math. Soc. {\bf 23} (series A), 95-104 (1977).
 
 
7. {\it Discrete Analytic Functions of exponential growth}, Trans.
Amer. Math. Soc. {\bf 226}, 181-189 (1977).
 
 
8. {\it A discrete analog of the Paley-Wiener theorem in a half
plane}, J. Australian Math. Soc. (Series A) {\bf 23},
376-378 (1978).
 
 
9. {\it A new proof of Ehrenpreis's semi-local Quotient Structure
Theorem}, Amer. J. Math. {\bf 100}, 1317-1332 (1978).
 
 
10. {\it The Pompeiu problem for discrete space}, Proc. Natl. Acad.
Sci. {\bf 75}, 3555-3556 (1978).
 
 
11. {\it  Solutions of exponential growth to systems of partial
differential equations}, J. Diff. Eq. {\bf 31}, 287-295 (1979).
 
 
12. {\it  The algebra of linear partial difference operators and its
applications}, SIAM J. Math. Anal. {\bf 11}, 919-934 (1980).
 
 
13. {\it  Some comments on Rota's umbral calculus}, J. Math. Anal.
Appl. {\bf 74}, 456-463 (1980).
 
 
14. {\it  A lattice walk approach to the q-counting of multiset
permutations}, J. Math. Anal. Appl. {\bf 74}, 192-199 (1980).
 
 
15. {\it  Partial difference equations in $ m_1 \geq ... \geq m_n
\geq 0 $ and their applications to combinatorics}, Discrete Math
{\bf 31}, 65-77 (1980).
 
 
16. {\it  Enumerating words by their number of mistakes}, Discrete
Math {\bf 34}, 89-91 (1981).
 
 
17. {\it  All binomial identities are verifiable}, Proc. Natl. Acad.
Sci. {\bf 78}, 4000 (1981).
 
 
18. {\it  Sister Celine's technique and its generalizations}, J. Math.
Anal. Appl. {\bf 85}, 114-145 (1982).
 
 
19. (With D. Franzblau) {\it  A bijection proof of the hook length
formula}, J. Algorithms {\bf 3}, 317-343 (1982).
 
 
20. (With D. Bressoud) {\it A short Rogers-Ramanujan bijection},
Discrete Math. {\bf 38}, 313-315 (1982).
 
 
21. {\it  A combinatorial proof of Dyson's conjecture}, Discrete
Math. {\bf 41}, 317-321 (1982).
 
 
22. (With S. R. Caplan) {\it T. L. Hill's graphical method for solving
linear equations}, Advances in Appl. Math. {\bf 3}, 377-383
(1982).
 
 
23. (With L. Shapiro) {\it A Markov chain occurring in Enzyme
Kinetics}, J. Math. Biology {\bf 15}, 351-357 (1982).
 
 
24. (With J. Gillis) {\it A direct combinatorial proof of a positivity
result}, European J. Comb. {\bf 4}, 221-223 (1983).
 
 
25. {\it  Andre's reflection proof generalized to the many-candidate
ballot problem}, Discrete Math {\bf 44}, 325-326 (1983). 
 
 
26. (With J. Gillis and B. Reznick) {\it  Elementary methods in positivity
theory}, SIAM J. Math. Anal. {\bf 14}, 396-398 (1983).
 
 
27. {\it A combinatorial proof of Newton's identities}, Discrete
Math. {\bf 49}, 319 (1984).
 
 
28. {\it  A short hook-length bijection inspired by the
Greene-Nijenhuis-Wilf proof}, Discrete Math. {\bf 51}, 101-108 
(1984).
 
 
29. {\it  Garsia and Milne's proof of the inclusion-exclusion
principle}, Discrete Math. {\bf 51}, 109-110 (1984).
 
 
30. (With D. Foata) {\it Weighted derangements and Laguerre
polynomials}, Actes S\'emin. Lotharingien 
de combinatoire {\bf 8}, 20-29 (1984).
 
 
31. (With E. A. Bender) {\it Some asymptotic bijections}, J. Comb. Th.
(Ser A) {\bf 38}, 96-98 (1985).
 
 
32. (With D. Bressoud) {\it A proof of Andrews' q-Dyson conjecture},
Discrete Math. {\bf 54}, 201-224 (1985).
 
 
33. (With J. Wimp) {\it Resurrecting the asymptotics of linear
recurrences}, J. Math. Anal. Appl. {\bf 111}, 162-177 (1985).
 
 
34. {\it  A combinatorial approach to matrix algebra}, Discrete
Math. {\bf 56}, 61-72 (1985).
 
 
35. (With D. Bressoud) {\it Bijecting Euler's partitions recurrence},
Amer. Math. Monthly {\bf 92}, 55-56 (1985).
 
 
36. (With M. Werman) {\it Bijecting Cassini's Fibonacci identity},
Discrete Math. {\bf 58}, 109 (1986).
 
 
37. {\it  Toward a combinatorial proof of the Jacobian conjecture?},
Proc. of the "Colloque de combinatoire \'enum\'erative", G.Labelle and
P.Leroux, editors, Lecture Notes in Math. {\bf 1234}, 370-380,
Springer-Verlag, Berlin (1987). 
 
 
38. {\it A proof of the $ G_2 $ case of Macdonald's root
system-Dyson conjecture}, SIAM J. Math.
Anal. {\bf 18}, 880-883 (1987).
 
 
39. (With D. Bressoud) {\it Generalized Rogers-Ramanujan identities}, 
Advances in Math. {\bf78}, 42-75 (1989).
 
 
40. {\it  A q-Foata proof of the q-Saalsch\"utz identity},  European
J. Comb. {\bf 8}, 461-463 (1987).
 
 
41. {\it Enumerating totally clean words}, Discrete
Math. {\bf 64}, 313-315 (1987).
 
 
42. {\it One line proofs of the unimodality of The Gaussian
polynomials $G(n,k)$, for $k=3,4$}, Ars Comb.,  {\bf 24}, 165-166 (1987).
 
 
43. {\it A bijection from ordered trees to binary trees that sends the
pruning order to the Strahler number}, Discrete Math. {\bf 82},
89-92 (1990).
 
 
44. (With J. Gillis and J. Jedwab) {\it  A combinatorial interpretation of
the integral of the products of Legendre polynomials},  SIAM J.
Math. Anal. {\bf 19}, 1455-1461 (1988).
 
 
45. {\it A unified approach to Macdonald's root-system conjectures},
SIAM J. Math. Anal. {\bf 19}, 987-1013 (1988).
 
 
46. {\it A Stembridge-Stanton style proof of the Habsieger-Kadell
q-Morris identity}, Discrete Math. {\bf 79}, 313-322 (1989/90).
 
 
47. (With D. Foata) {\it Laguerre polynomials, weighted derangements,
and positivity}, SIAM J. Discrete Math. {\bf 1}, 425-433 (1988).
 
 
48. (With D. Foata) {\it Linearization coefficients for the Jacobi
polynomials}, Actes S\'eminaire Lotharingien {\bf 16}, 73-86, Publ.
I.R.M.A., Strasburg (1988).
 
 
49. {\it Six Etudes in generating functions}, Intern. J. Computer
Math. {\bf 29}, 201-215 (1989).
 
 
50. {\it  A combinatorial problem that arose in biophysics}, Fibonacci
Quarterly {\bf 27}, 372 (1989).
 
 
51. {\it  On a conjecture of R.J.Simpson about exact covering
sequences}, Amer. Math. Monthly {\bf 96}, 243 (1989).
 
 
52. {\it  Kathy O'hara's constructive proof of the unimodality of the
Gaussian polynomials}, Amer. Math. Monthly {\bf 96},
590-602 (1989).
 
 
53. {\it  One line proofs of the unimodality of the Gaussian polynomials
$G(n,k)$ for $k < 20$}, in: D. Stanton, 
ed., ``q-Series and Partitions", 
(Proc., IMA, March 1988), IMA series {\bf 18}, Springer, 35-44 (1989).
 
 
54. (With D. Stanton) {\it The Odlyzko conjecture and O'Hara's
unimodality proof}, Proc. Amer. Math. Soc. {\bf 107}, 39-42
(1989).
 
 
55. {\it  Identities}, in: D. Stanton, ed., ``q-Series and Partitions",
(Proc., IMA, March 1988), IMA series {\bf 18}, 67-75 (1989).
 
 
56. {\it A Holonomic systems approach to special functions
identities}, J. of Computational and Applied Math. {\bf 32},
321-368 (1990).
 
 
57. (With S. B. Ekhad) {\it A $21^{st}$ century proof of
Dougall's hypergeometric identity}, J. Math. Anal. Appl. {\bf 147},
610-611 (1990).
 
 
58. {\it  A Fast Algorithm for proving terminating hypergeometric
identities}, Discrete Math {\bf 80}, 207-211, (1990).
 
 
59. (With H. S. Wilf) {\it Rational functions certify combinatorial
identities}, J. Amer. Math. Soc. {\bf 3}, 147-158 (1990).
 
 
60. (With J. Wimp) {\it How likely is Polya's drunkard to stay in  $x \geq
y \geq z$ ?}, J. Statistical Physics {\bf 57}, 1129-1135 (1989).
 
 
61. (With G. Almkvist) {\it The method of differentiating under the
integral sign}, J. Symbolic Computation {\bf 10}, 571-591 (1990).
 
 
62. {\it The method of creative telescoping}, J. Symbolic Computation
{\bf 11}, 195-204 (1991).
 
 
63. (With D. Foata) {\it Denert's permutation statistic is indeed
Euler-Mahonian}, Studies in Applied Math {\bf 83}, 31-59 (1990).
 
64. (With D. Foata) {\it Multibasic Eulerian polynomials},
Trans. Amer. Math. Soc. {\bf 328}, 843-862 (1991).
 
65. (With R. J. Simpson) {\it Necessary conditions for distinct
covering systems with square-free moduli}, Acta Arithmetica
{\bf 59}, 59-70 (1991).
 
 
66. (With H. S. Wilf) {\it Towards computerized proofs of identities},
Bulletin of the Amer. Math. Soc. {\bf 23}, 77-83 (1990).
 
 
67. {\it Gauss's ${}_2 F_1 (1)$ cannot be generalized to}
${}_2 F_1 (x)$, J. Comp. Appl. Math. {\bf 39},
379-382 (1992).
 
 
68. (With I. Gessel) {\it Random Walk in a Weyl chamber}, Proc.
Amer. Math. Soc. {\bf 115}, 27-31 (1992).
 
 
69. {\it Closed Form (pun intended!)}, 
 in: ``Special volume in memory of Emil Grosswald", M. Knopp
and M. Sheingorn,
eds., Contemporary Mathematics {\bf 143} 579-607, AMS, Providence (1993).
 
 
70. {\it Gert Almkvist's generalization of a mistake of Bourbaki},
 in: ``Special volume in memory of Emil Grosswald", M. Knopp
and M. Sheingorn,
eds., Contemporary Mathematics {\bf 143} 609-612, AMS, Providence (1993).
 
71. {\it Three recitations on Holonomic Systems and 
Hypergeometric Series}, Proceeding of the S\'eminaire
Lotharingien de combinatoire {\bf 24},5-37, IRMA, Strasbourg. (1993)
(reprinted in Journal Symbolic Computation.)
 
72. {\it A constant term identity featuring the ubiquitous (and mysterious)
Andrews-Mills-Robbins-Rumsey numbers $\{1,2,7,42,429, ...\}$}, 
J. Combinatorial Theory (ser. A) {\bf 66}, 17-27 (1994).
 
73. {\it A proof of Julian West's conjecture that the number of
2-stack-sortable permutations of length $n$ is}
$2 (3n)! /((2n+1)! (n+1)!)$, Discrete Math. {\bf 102}, 85-93 (1992).
 
74. {\it Identities in search of identity}, J. Theoretical Computer Science
{\bf 117}, 23-38 (1993).
 
75. (With Jane Friedman) A generalization of Odlyzko's conjecture:
the coefficients of 
$(1-q)^{j} /(( 1- q^{2n} ) ... (1- q^{2n+2j} ))$ alternate in
sign,  Proc. Amer. Math. Soc. {\bf 118}, 1013 (1993).
 
76. (With H.S. Wilf) {\it An algorithmic proof theory for hypergeometric
(ordinary and ``q") multisum/integral identities}, Invent. Math. 
{\bf 108}, 575-633 (1992).
 
77. (With S.B. Ekhad) {\it A one-line WZ proof of a formula of Ramanujan
for $\pi$}, in: ``Geometry, Analysis, and Mechanics''
(Volume to honor Archimedes's 2281st birthday), J. M. Rassias, ed.,
107-108. World Scientific, Singapore (1994).
 
78.(with Jane Friedman and Ira Gessel) 
{\it Talmudic lattice path counting}, 
J. Combin. Theory Ser. A {\bf 68}, 215-217 (1994).
 
79. {\it Proof of q-analog of a constant term identity 
conjectured by Forrester}, J. Combinatorial Theory {\bf 66},
311-312 (1994).
 
80. (With H. S. Wilf) {\it Rational function certification of
hypergeometric multi-integral/sum/``q" identities}, 
Bulletin of the Amer. Math. Soc. {\bf 27}, 148-153 (1992).
 
81. (With G.E. Andrews and S.B. Ekhad), {\it A short proof of
Jacobi's formula for the number of representations of an integer
as a sum of four squares}, Amer. Math. Monthly, {\bf 100}, 274-276 (1993).
 
82. {\it  Towards a WZ proof of Mehta's integral}, SIAM J. Math. Anal.
{\bf 25} , 812-814 (1994).
 
83. (With S. B. Ekhad) {\it A  short and elementary,
``formal calculus" proof of the Bieberbach
conjecture (after L. Weinstein)}, Contemporary Math {\bf 178 } 113-115, 
(1995).
 
 
84. (With D. Foata) {\it Combinatorial Proofs of Cappelli's
and Turnbull's Identities from Classical Invariant Theory}, Electronic
J. of Combinatorics

({\tt http://www.combinatorics.org}), {\bf 1}, R1 ( 7 pages) (1994).
 
85. {\it Proof of the alternating sign matrix conjecture}, Elect. J. 
Combinatorics

({\tt http://www.combinatorics.org}), {\bf 3(2)} 
[Foata Festschrift] R13, (50 pages)(1996).
 
86. {\it Theorems for a price: Tomorrow's semi-rigorous mathematical culture},
Notices of the Amer. Math. Soc. {\bf 40 \# 8}, 978-981 (Oct. 1993).
Reprinted: Math. Intell. {\bf 16}, no. 4, 11-14 (Fall 1994).
 
87. {\it Chu's 1303 identity implies Bombieri's 1990 norm-inequality
[Via an identity of Beauzamy and D\'egot]}, Amer. Math. Monthly {\bf 101},
894-895 (1994).
 
88. {\it How Joe Gillis discovered Combinatorial Special Function Theory},
Math. Intell. {\bf 17}, no. 2, 65-66 (Spring 1995). 
 
89. (With L. Ehrenpreis) {\it Two EZ proofs of $\sin^2 z + \cos^2 z =1$},
Amer Math. Monthly {\bf 101}, 691 (1994).
  
90. (With C. Orr), {\it A computer algebra approach to the discrete
Dirichlet problem}, J. Symbolic Comput. {\bf 18}, 87-90 (1994).
 
91. {\it On an identity of Daubechies},
Amer. Math. Monthly {\bf 100}, 487 (1993).
 
92. {\it The J.C.P. Miller Recurrence for Exponentiating a polynomial
and its q-Analog}, J. Difference Eqs. and Appls. {\bf 1}, 57-60 (1995). 
 
93. {\it Proof of the refined alternating sign matrix conjecture},
New York J. of Math. (elec.), 
({\tt http://nyjm.albany.edu/})
{\bf 2}, 59-68 (1996).
 
94. (With D. Foata), {\it The Graphical Major Index}, J. Comp. Appl. Math.,
[specal issue on q-series], 
J. Comput. Applied Math (special issue on q-series)
{\bf 68} 79-101 (1996).
 
95. (With J. Noonan), {\it Counting Permutations with a prescribed
number of ``forbidden" patterns}, Advances in Applied Math. {\bf 17},
381-407 (1996).
 
96. {\it Reverand Charles to the aid of Major Percy and Fields-Medalist
Enrico}, Amer. Math. Monthly {\bf 103}, 501-502 (1996).
 
97. {\it The method of undetermined generalization and specialization
illustrated with Fred Galvin's amazing proof of the Dinitz conjecture},
Amer. Math. Monthly {\bf 103}, 233-240 (1996).
 
98. {\it An explicit formula for the number of solutions of $X^2=0$
in triangular matrices over GF(q)}, 
Elect. J. Comb({\tt http://www.combinatorics.org}). {\bf 3(1)}, R3 
(3 pages)(1996).
 
99. {\it Self-Avoiding Walks, the language of science, and Fibonacci numbers},
J. Stat. Planning and Inference {\bf 54}, 135-138 (1996).
 
100. {\it If $A_n$ has $6n$ dyes in a box, with which he has to fling at
least $n$ sixes, then $A_n$ has an easier task than $A_{n+1}$,
at Eaven Luck}, Amer. Math. Monthly {\bf 103}, 265 (1996).
 
101. (With S. B. Ekhad){\it Curing the Andrews Syndrome},
J. of Difference Equations and Applications {\bf 4}, 299-310 (1997).
 
102. (With T. Amdeberhan)
{\it Hypergeometric Series Acceleration via the WZ method}
Elect. J. of Combinatorics
({\tt http://www.combinatorics.org}), 
{\bf 4(2)} [Wilf Festschrifft volume], R3 (4 pages) (1997).
 
103. (With T. Amdeberhan) {\it q-Apery Irrationality Proofs by q-WZ Pairs}, 
Adv. Appl. Math. {\bf 20}, 275-283, (1998).
 
104. (With D. Foata)
{\it A classic proof of a recurrence for a very classical sequence},
J. Combin. Theory Ser. A {\bf 80}, 380-384 (1997).

105. (With D. Foata)
{\it Combinatorial Proofs of Bass's Evaluations of the Ihara-Selberg 
Zeta function of a Graph}, Trans. Amer. Math. Soc., 
{\bf 351}, 2257--2274 (1999).
 
106. {\it The Abstract Lace Expansion}, Advances in Applied Mathematics,
{\bf 19}, 355-359 (1997).
 
107. (With I. Nemes, M. Petkovsek, and H. S. Wilf)
{\it How to do Monthly Problems on your computer}, Amer. Math. Monthly
{\bf 104}, 505-519 (1997).
 
108. {\it Dodgson's Determinant-Evaluation Rule Proved by TWO-TIMING MEN and
WOMEN}, Elect. J. of Combinatorics 
({\tt http://www.combinatorics.org})
{\bf 4(2)}, [Wilf Festschrift
volume], R22 (2 pages) (1997).
 
109. {\it A comparison of two methods for random labellings of balls
by vectors of integers},
Advances in Combinatorial Methods and Applications
to Probability and Statistics, N. Balakrishnan, ed., Birkhauser, 1997
(Mohanty Festschrift).
 
110. (With S. B. Ekhad)
{\it Proof of Conway's Lost Cosmological Theorem}
Elect. Res. Announcements of the AMS {\bf 3}, 78-82 (1997).
 
111. {\it 
Math Bite: Proof of an Empirical Observation Made by Amos Oz's character}, 
Math. Magazine {\bf 70 }, 291 (1997).
 
112. {\it How Much Should a Nineteenth-Century French Bastard Inherit},
J. Difference Eq. Appl. {\bf 3}, 385-388 (1998).
 
113. (With C. Krattenthaler)
{\it Proof of a Determinant Evaluation Conjectured by Bombieri, Hunt, and
van der Poorten}, New York J. of Math. (elec.)
({\tt http://nyjm.albany.edu/})
{\bf 3}, 54-102 (1997).

114. {\it Automated Counting of LEGO Towers}, J. Difference Eq. Appl.,
{\bf 5}, 323-333, (1999).
 
115. (With J. Noonan)
{\it The Goulden-Jackson Cluster Method: Extensions, Applications, and
Implementations}, J. Difference Eq. Appl.
{\bf 5}, 355-377, (1999).

116. (With  Scott Ahlgren, Shalosh B. Ekhad, Ken Ono)
{\it A Binomial Coefficient Identity Associated to a Conjecture of
Beukers}, Electronic Journal of Combinatorics

({\tt http://www.combinatorics.org}) {\bf 5}, R10 (1 page) (1998).

117. (With Aaron Robertson)
{\it A 2-Coloring of [1,N] Can Have $(1/22)N^2+O(N)$ Monochromatic
Schur Triples, But Not Less!}, 
Electronic Journal of Combinatorics

({\tt http://www.combinatorics.org}) {\bf 5} R19, (5 pages) (1998).

118. (With Shalosh B. Ekhad)
{\it There Are More Than 2**(n/17) n-Lettered Ternary Square-Free
Words}, J. Integer Sequences (elec.)
({\tt http://www.research.att.com/~njas/jit/}), {\bf 98.1.9} 
(3 pages) (1998).

119. {\it Enumeration Schemes, and More Importantly, 
Their Automatic Generation},
Annals of Combinatorics {\bf 2}, 185-195 (1998).

120. {\it Proof Of A Conjecture Of Chan, Robbins, and Yuen},
ETNA, (Elec. Trans, of Numerical Analysis) (elec.)
({\tt http://etna.mcs.kent.edu/})
{\bf 9}, 147-148, (1999).


121. (With Aaron Robertson and Herb Wilf) 
{\it Patterns and Fractions}, Elec. J. Combinatorics, 
{\bf 6},  ({\tt http://www.combinatorics.org})
R38, (4 pages) (1999).


122. (With S. B. Ekhad)
{\it PLANE GEOMETRY: An Elementary School Textbook (ca. 2050)}, 
Mathematical Intelligencer 
{\bf 21(3)}, 64-70, (1999).

123. {\it Symbol-Crunching with the Transfer-Matrix Method in Order to
 Count Skinny Physical Creatures},
 INTEGERS ({\tt http://www.integers-ejcnt.org}), {\bf 0} A9 (29 pages)
(2000).

124. (With A. Edlin)
{\it The Goulden-Jacskon Cluster Method For Cyclic Words},
Advances in Applied Mathematics  {\bf 25}, 228-232, (2000).

125. {\it The Umbral Transfer-Matrix Method: I. Foundations},
J. Comb. Theory Ser. A
{\bf 91}, 451-463, (Rota memorial issue) (2000).

126. {\it
   How Berger, Felzenbaum, and Fraenkel Revolutionized COVERING
   SYSTEMS The Same Way that George Boole Revolutionized LOGIC},
Elect. J. Combinatorics 8(2) (2001) (special issue in honor of
Aviezri Fraenkel), A1
 ({\tt http://www.combinatorics.org}), (9 pages).

127. (With D. Foata)
{\it Babson-Steingrimsson Statistics Are Indeed Mahonian
(and Sometimes Even Euler-Mahonian)},
 Adv. Appl. Math. {\bf 27} (2001), 390-404

128. {\it Three-Rowed CHOMP}, 
Adv. Appl. Math. {\bf 26} (2001), 168-179.

129. {\it The Umbral Transfer-Matrix Method. III. Counting Animals},
New York J of Mathematics 7(2001), 223-231.

130. (With T. Amdeberhan)
{\it Determinants Through The Looking Glass},
Adv. Appl. Math. {\bf 27} (2001), 225-230

131. {\it The Umbral Transfer-Matrix Method. IV. Counting Self-Avoiding
Polygons and Walks}, Elec. J. Comb. {\bf 8}(1)(2001), (22 pages) R28.

132. {\it The Umbral Transfer-Matrix Method. V. The Goulden-Jackson Cluster
Method for Infinitely Many Mistakes}, INTEGERS, {\bf 2} (2002), 
(10 pages), A5 .

133. (With D. Foata)
{\it The Collector's Brotherhood Problem Using the Newman-Shepp Symbolic
Method}, Algebra Universalis (special Rota memorial issue),
Algebra Universalis (special Rota memorial issue),{\bf 49} (2003), 387-395.

134. {\it ``Real'' Analysis is a Degenerate Case of Discrete Analysis},
Appeared in:
"New Progress in Difference Equations"(Proc. ICDEA 2001), edited by
Bernd Aulbach,
Saber Elaydi, and Gerry Ladas, and publisher by Taylor \& Francis, 
London, 2004. 


135. {\it Computerized Deconstruction}, Adv. Applied Math.
{\bf 30} (2003), 633-654.

136. (With Aaron Robertson, Dan Saracino)
{\it Refined Restricted Permutations}, Annals of Combinatorics.
{\bf 6} (2003), 427-444.

137. {\it Lieber Opa Paul, Ich Bin Auch Ein
Experimental Scientist}, 
Adv. Appl. Math. {\bf 30} (2003), 633-654.

138. {\it Towards a SymbolicComputational Philosophy (and
Methodology!) for Mathematics}, in:
``Mathematics, Computer Science and Logic - A Never Ending Story'', The Bruno Buchberger Festschrift,  2013,
(Peter Paule, ed.), Springer, 

139. (With Stavros Garoufalidis and Thang TQ Le)
{\it The Quantum MacMahon Master Theorem}, Proc. National Academy of Science, 
{\bf 103} (2006), (no. 38, Sept. 19, 2006), 13928-13931 .

140. {\it Chomp, Recurrences, and Chaos}, 
J. Difference Equations and its Applications
{\bf 8} (2004), 369-378.
[special issue in honor of Saber Elaydi.]

141. (With Xinyu Sun)
On Fraenkel's N-Heap Wythoff Conjecture,
Annals of Combinatorics {\bf 8} (2004). 225-238.

142. (With Mohamud Mohammed) {\it The Markov-WZ Method}, 
Elec J. Combinatorics {\bf 11}(2004), R53. (14 pages).

143. {\it Symbolic Moment Calculus I.: Foundations and Permutation
Pattern Statistics}, Annals of Combinatorics {\bf 8} (2004), 369-378.

144. {\it Dave Robbins's Art of Guessing},
Adv. Appl. Math. {\bf 34} (2005), 939-954.

145. (With Mohamud Mohammed) 
{\it Sharp Upper Bounds for the Orders of the Recurrences Outputted by
the Zeilberger and q-Zeilberger Algorithms},
J. Symbolic Computation {\bf 39}  (2005), 201-207.

146. {\it Enumerative and Algebraic Combinatorics}, in:
`Princeton Companion of Mathematics', T Gowers, ed.,
550-561, Princeton University Press, 2008.

147. (With Arthur Benjamin)
Pythagorean Primes and Palindromic Continued Fractions,
INTEGERS {\bf 5(1)} (2005), A30.

148. (With Andrew V. Sills)
{\it Disturbing the Dyson Conjecture (in a GOOD Way)},
J. Experimental Mathematics {\bf 15} (2006), 187-191

149. {\it DECONSTRUCTING the ZEILBERGER algorithm},
J. Difference Equations and its Applications {\bf 11}
(2005), 851-856.

150. (With Moa Apagodu [formerly Mohamud Mohammed])
{\it Multi-Variable Zeilberger and Almkvist-Zeilberger Algorithms and the
Sharpening of Wilf-Zeilberger Theory },
Adv. Appl. Math. {\bf 37} (2006)(Special Regev issue), 139-152

151. {\it Automatc CountTilings}, 
Perosnal Journal of Ekhad and Zeilberger
\hfill\break
{\tt http://www.math.rutgers.edu/\Tilde zeilberg/pj.html}, 2006.

152. {\it The HOLONOMIC ANSATZ I. Foundations and Applications to Lattice
Path Counting}, 
Annals of Combinatorics {\bf 11}(2007), 227-239

153. {\it The HOLONOMIC ANSATZ II.
Automatic DISCOVERY(!) and PROOF(!!) of Holonomic Determinant Evaluations},
Annals of Combinatorics {\bf 11}(2007), 241-247

154. {\it
Symbolic Moment Calculus II.: Why is Ramsey Theory Sooooo Eeeenormoulsy
Hard?}, 
``Combinatorial Number Theory", B. Landman et. al,
editors, in Celebration of the 70th Birthday of Ronald Graham, 
de Gruyter, 2007. (Co-publised in INTEGERS, 7(2)(2007), A34.]


155. (With Shalosh B. Ekhad, Vince Vatter)
{\it A Proof of the Loehr-Warrington Amazing TEN to the Power n Conjecture},
Perosnal Journal of Ekhad and Zeilberger,
\hfill\break
{\tt http://www.math.rutgers.edu/\Tilde zeilberg/pj.html}, 2006.

156. {\it Symbol Crunching with the Gambler's Ruin Problem}, 
"Tapas in Experimental Mathematics", 
Tewodros Amdeberhan and Victor Moll, editors, 
Contemporary Mathematics {\bf 457} (2008), 285-292.

157. (With Moa Apagodu)
{\it FIVE Applications of Wilf-Zeilberger Theory to Enumeration and Combinatorics}
"COMPUTER ALGEBRA 2006, Latest Advances in Symbolic Algorithms"
[Abramov Festschrift, dedicated to Sergey Abramov's
60th birthday], edited by Ilias S Kotsireas and Eugene V Zima,
World Scientific, Aug. 2007.

158. (With Arvind Ayyer)
{\it The Number of [Old-Time] Basketball games with Final Score n:n where the Home Team was never losing but also never ahead by more than w Points}, 
Electronic J. of Combinatorics {\bf 14(1)} (2007), R19 (8pp).

159. (With Philip Matchett Wood)
{\it A Translation Method for Finding Combinatorial Bijections},
Annals of Combinatorics, 
{\bf 13}(2009), 383-402 .

160. (With Arvind Ayyer)
{\it Two Dimensional Directed Lattice Walks with Boundaries},
"Tapas in Experimental Mathematics", 
Tewodros Amdeberhan and Victor Moll., eds.,
Contemporary Mathematics {\bf 457} (2008), 1-20.

161. (With  Tewodros Amdeberhan)
{\it 
Trivializing" Generalizations of Some Izergin-Korepin-Type Determinants},
Discrete Mathematics and Theoretical Computer Science {\bf 9} (2007), 203-206.

162. 
{\it An Enquiry Concerning Human (and Computer!) [Mathematical] Understanding},
Appeared in: C.S. Calude ,ed.,
"Randomness \& Complexity, from Leibniz to Chaitin", 
World Scientific, Singapore, Oct. 2007.

163. 
{\it Using  Rota's Umbral Calculus to Enumerate Stanley's P-Partitions},
Adv. Applied Mathematics {\bf 41}(2008), 206-217.

164. (With Manuel Kauers)
{\it Experiments With a Positivity Preserving Operator},
Experimental Mathematics, {\bf 17} (2008), 341-345.

165.(With Thotsaporn "Aek" Thanatipanonda)
{\it A Symbolic Finite-State Approach For Automated Proving
of Theorems in Combinatorial Game Theory}, J. Difference Eq. Applications, 
{\bf 15}(2009), 111-118.

166.(With Moa Apagodu) 
{\it Searching For Strange Hypergeometric Identities By Sheer Brute Force}, 
INTEGERS, {\bf 8}(2008), A36.

167. (With Manuel Kauers) 
{\it The Quasi-Holonomic Ansatz and Restricted Lattice Walks},
J. Difference Equations {\bf 14} (2008 ), 1119 - 1126.

168. (With William Y.C. Chen, Jing Qin, and Christian M. Reidys)
{\it Efficient Counting and Asymptotics of k-noncrossing Tangled Diagrams}, 
Elec. J. Combinatorics {\bf16}(1) (2009), R37.

169.(With Yuri Bahturin, Amitai Regev) {\it Commutation Relations and Vandermonde Determinants},
Europ. J. Combinatorics {\bf 30} (2009), 1271-1276.

170. (With Manuel Kauers and  Christoph Koutschan)
{\it Proof of Ira Gessel's Lattice Path Conjecture},
Proc. Natl. Acad. Sci. USA {\bf 106}(28):11502-11505 (2009).

171.(With Manuel Kauers and  Christoph Koutschan)
{\it A Proof of George Andrews' and Dave Robbins' q-TSPP Conjecture
(modulo a finite amount of routine calculations)}, Personal Journal
of Ekhad and Zeilberger (2008).


172.{\it The Automatic Central Limit Theorems Generator (and Much More!)},
in: "Advances in Combinatorial Mathematics:
in honor of Georgy P. Egorychev"
(I.Kotsireas, E.Zima, eds), chapter 8, pp. 165-174,
Springer Verlag, (2009).

173. (With  Paul Raff)
{\it Finite Analogs of Szemer\'edi's Theorem},
in:
``Gems in Experimental Mathematics'' (T. Amdeberhan, L. Medina, and V. Moll, eds.), Contemporary Mathematics series (AMS) {\bf 517} (2010), 
313-319, 2010.


174.(With Luis Medina)
{\it An Experimental Mathematics Perspective on the Old, 
and still Open, Question of When To Stop?},
in: ``Gems in Experimental Mathematics''(T. Amdeberhan, L. Medina, and V. Moll, eds.), 
Contemporary Mathematics series (AMS) {\bf 517} (2010), 265-274  .


175.(With E. Rodney Canfield and Svante Janson)
{\it The Mahonian Probability Distribution on Words is Asymptotically Normal},
Adv. Appl. Math., {\bf 46} (2011), 109-124

176. (With Moa Apagodu)
{\it Some Nice Sums Are Almost As Nice If You Turn Them Upside Down},
J. Combinatorics and Number Theory {\bf 2}(1) (2010), \#5.


177. {\it Teaching the Computer how to Discover(!) and then Prove(!!)
(all by Itself(!!!)) Analogs of Collatz's Notorious 3x+1 Conjecture},
J. of Difference Equations and Applications, 
{\bf 17}, 375-386 (2011).


178. (With Eduardo Sontag)
{\it A Symbolic Computational Approach to a Problem 
Involving Multivariate Poisson Distributions},
Adv. Appl. Math. {\bf 44} (2010), 359-377

179.
(With Andrew V. Sills)
{\it Formulae for the Number of Partitions of n into at most m parts
(Using the Quasi-Polynomial Ansatz)},
Advances in Applied Mathematics {\bf 48}(2012), 640-645.

180.
(With Bobbe J. Cooper, Eric Rowland)
{\it Toward a Language Theoretic Proof of the Four Color Theorem},
Advances in Applied Mathematics {\bf 48}(2012), 414-431.

181.
(With Manuel Kauers)
{\it The Computational Challenge of Enumerating High-Dimensional Rook Walks},
Advances in Applied Mathematics {\bf 47}(2011), 813-819.

182.
(With Christoph Koutschan)
{\it The 1958 Pekeris-Accad-WEIZAC Ground-Breaking Collaboration 
that computed Ground-States of Two-Electron Atoms (and its 2010 Redux)},
Mathematical Intelligencer {\bf33}(2), 52-57, (2011).


183.
(With Christoph Koutschan and Manuel Kauers)
{\it A Proof Of George Andrews' and David Robbins' q-TSPP Conjecture},
Proceedings of the National Academy of Science {\bf 108} (2011), 2196-2199. [won the David P. Robbins prize, 2016]

184.
{\it The C-finite Ansatz}, Ramanujan Journal {\bf 31} (2013), 23-32.

185.
(With Andrew V. Sills) {\it Rademacher's Infinite Partial Fraction Conjecture is  almost certainly false},
Journal of Difference Equations and Applications {\bf 19} (2013), 680-689

186.
(With Shalosh B. Ekhad, Evangelos Georgiadis) {\it How to Gamble If You're In a Hurry},
Journal of Difference Equations and Application {\bf 19}(2013), 520-526.

187.
(With Shalosh B. Ekhad)
{\it Balls in Boxes: Variations on  a Theme of Warren Ewens and Herbert Wilf},
in: Proceedings of the W80 conference (I. Kotsireas and E. Zima, eds.), 161-174, Springer, 2013.

188.
(With Andrew Baxter, Brian Nakamura)
{\it Automatic Generation of Theorems and Proofs on Enumerating Consecutive-Wilf classes},
in: Proceedings of the W80 conference (I. Kotsireas and E. Zima, eds.), 161-174, Springer, 2013. 121-138.

189.
{\it The Discrete Analog of the Malgrange-Ehrenpreis Theorem},
in:{\it ''From Fourier Analysis and Number Theory to Radon Transforms and Geometry-In Memory of Leon Ehrenpreis''},
(Developments in Mathematics) edited by M. Farkas, R. C. Gunning, Marvin I. Knopp z''l, and B.A. Taylor, Springer, 2012.

190.
(With Emilie Hogan)
{\it A New Algorithm for Proving Global Asymptotic Stability of Rational Difference Equations},
urnal of Difference Equations and Applications 18(2012), 1853-1873.

191. (with Brian Nakamura) {\it Using Noonan-Zeilberger Functional Equations to enumerate (in Polynomial Time!) Generalized Wilf classes},
Advances in Applied Mathematics {\bf 50} (2013), 356-366.

192. (With A. Bernstein,  C. Reutenauer. and V. Retakh),
{\it The Reciprocal of 1+ab+aabb+aaabbb+... for NON-COMMUTING a and b, Catalan numbers and non commutative quadratic equations}
in:
``Noncommutative Birational Geometry, Representations, and Cluster algebras'' (A. Berenstein and V, Retakh, eds.), 
Contemporary Mathematics volume {\bf 592}, 2013, Amer. Math. Soc.

193. (With S. B. Ekhad),
{\it Automatic Counting of Tilings of Skinny Plane Regions},
in: ``Surveys in Combinatorics 2013'', edited by Simon R. Blackburn, Stefanie Gerke, and Mark Wildon, London Mathematical Society Lecture Notes Series {\bf 409}, 
363-378.

194. (With Edinah Gnang), {\it Zeroless Arithmetic: Representing Integers ONLY using ONE},
J. Difference Equations and Applications {\bf 19}, 1921-1926.

195.{\it Automatic Enumeration of Generalized M\'enage Numbers },Séminaire Lotharingien de Combinatoire, {\bf B71a} (2014).

196. (With S. B. Ekhad) ({\it How To Generate As Many Somos-Like Miracles as You Wish },
J. Difference Eq. Appl. {\bf 20}(2014), 852-858.

197. (With Eric Rowland), {\it A Case Study in Meta-AUTOMATION: AUTOMATIC Generation of Congruence AUTOMATA For Combinatorial Sequences},
J. Difference Equations and Applications {\bf 20} (2014), 973-988

198. (With Svante Janson and Brian Nakamura), {\it On the Asymptotic Statistics of The Number of Occurrences Of Multiple Permutation Patterns},
J. of Combinatorics, {\bf 6}, 117-143


199. (With Alon Regev and Amitai Regev), {\it Identities in character tables of},
J. of Difference Equations and its Applications, Journal of Difference Equations and Applications {\bf 22} (2016), 272-279

200. (With Nathaniel Shar), 
{\it The (Ordinary) Generating Functions Enumerating 123-Avoiding Words with r occurrences of each of 1,2, ..., n are Always Algebraic},
Annals of Comibinatorics {\bf 20} (2016), 387-396.

201. (With William Y.-C. Chen and Qing-Hu Hou), 
{\it Automated Discovery and Proof of Congruence Theorems for Partial Sums of Combinatorial Sequences},
J. Difference Equations and its Applications {\bf 22} (2016), 780-788.

202. (With Amitai Regev),
{\it Surprising Relations Between Sums-Of-Squares of Characters of the Symmetric Group Over Two-Rowed Shapes and Over Hook Shapes},
Séminaire Lotharingien de Combinatoire {\bf B75c} (2016).

203. (With Manuel Kauers), {\it Factorization of C-finite Sequences}, 
Advances in Computer Algebra, In Honour of Sergei Abramov's 70th Birthday, edited by C.Schneider, E.Zima, Springer (2018).

204. (With Moa Apagodu) {\it Using the ``Freshman's Dream'' to Prove Combinatorial Congruences},  Amer. Math. Monthly.,
{\bf 124} (2017), 597-608.

205. (with Shalosh B. Ekhad) {\it Integrals Involving Rudin-Shapiro Polynomials and Sketch of a Proof of Saffari's Conjecture},
Appeared in the proceedings of the Alladi60 conference (Frank Garvan et. al, editors),
253-265, Springer Proc. Math. Stat. {\bf 221}, Springer, 2017.

206. (with Anthony Zaleski) {\it Explicit (Polynomial!) Expressions for the Expectation, Variance and Higher Moments of the 
Size of of a (2n+1,2n+3)-core partition with Distinct parts}, J. Difference Equations and Applications {\bf 23}(2017), 1241-1254.

207. (With Moa Apagodu, David Applegate, Neil J. A. Sloane),
{\it Analysis of the gift exchange problem}, Electronic J. of Combinatorics, {\bf 24(3)}(2017) , paper P3.9.

208. (With Andrew Lohr) {\it On The Limiting Distibutions of the Total Height On Families of Trees},
INTEGERS ,{\bf 18}(2018), paper A32.

209. {\it What is Mathematics and What Should it Be},  in:
{\it Humanizing Mathematics and its Philosophy}, Essays Celebrating the 90th Birthday of Reuben Hersh, edited by Bharath Sriraman, 
Birkhauser/Springer, 2017.

210.(With Anthony Zaleski) {\it Boolean Function Analogs of Covering Systems},  Mathematics Magazine,
{\bf 93(1)}( Jan., 2020), 54-61.

211. (With Mingjia Yang) {\it Increasing Consecutive Patterns in Words}, 
J. of Algebraic Combinatorics, on-line before print, volume and page tbd.

212. (With Manuel Kauers) {\it  A Simple Re-Derivation of Onsager's Solution of the 2D Ising Model using Experimental Mathematics},
Mathematical Intelligencer {\bf 41} (2019), 1-6.

213. (With Yukun Yao) {\it An Experimental Mathematics Approach to the Area Statistic of Parking Functions}, 
Mathematical Intelligencer {\bf 41} (2019), 1-8.

214. (with Evangelos Georgiadis) {\it A Combinatorial-Probabilistic Analysis of Bitcoin Attacks},
Journal of Difference Equations and its Applications {\bf 25}(2019), 56-63.

215. (with Yukun Yao) {\it Untying The Gordian Knot via Experimental Mathematics},
To appear in "Algorithmic Combinatorics-Enumerative Combinatorics, Special Functions, and Computer Algebra: In honor of Peter Paule's 60th birthday", 
Springer; edited by Veronika Pillwein and Carsten Schneider.

216. (with Shalosh B. Ekhad),
{\it D.H. Lehmer's Tridiagonal determinant: An Étude in (Andrews-Inspired) Experimental Mathematics}.
Annals of Combinatorics {\bf 23} (2019), 717-724.

217. (with Yukun Yao), {\it Numerical and Symbolic Studies of the Peaceable Queens Problem}, appeared on-line before print (20109) in Experimental Mathematics.

218. (with Manuel Kauers and Martina Seidl), {\it On the maximal minimal cube lengths in distinct DNF tautologies}, Discrete Mathematics
Letters {\bf 2} (2019), 47-51.

219. (with Qing-Hu Hou, Yan-Ping Mu)
{\it Polynomial Reduction and Super Congruences}, J. of Symbolic Computation {\bf 103} (2021), 127-140.


220. (with Wadim Zudilin) {\it Automatic Discovery of Irrationality Proofs and Irrationality Measures}, International Journal of Number Theory {\bf 17}, 815-825.

221. (with Wadim Zudilin) 
{\it The Irrationality Measure of Pi is at most 7.103205334137}, Moscow J. of Combinatorics and Number Theory  {\bf 9} (2020), 407-419.

222. (with Shalosh B. Ekhad and  Wadim Zudilin) 
{\it Two Definite Integrals That Are Definitely (and Surprisingly!) Equal}, Mathematical Intelligencer (``Gems and Curiosities'' column)  {\bf 42} (2020), 10-11.

223. (with Mingjia Yang), {\it  Systematic Counting of Restricted Partitions}, INTEGERS {\bf 20} (2020), A62.

224. (with Thotsaporn Aek Thanatipanonda)
{\it A Multi-Computational Exploration of Some Games of Pure Chance}, J. of Symbolic Computation {\bf 104} (2021), 38-68.

225. (with Shalosh B. Ekhad and Christoph Koutschan)
{\it There are EXACTLY 

1493804444499093354916284290188948031229880469556 

Ways to Derange a Standard Deck of Cards (ignoring suits) [and many other such useful facts]},
Enumerative Combinatorics and Applidcations {\bf 1}(3), article S2A17

226. (With Robert Dougherty-Bliss) {\it Experimenting with Apéry Limits and WZ pairs},
Maple Transactions, {\bf 1}(2) (2021), Article 14359.

227. (With George Spahn) {\it Automatic Counting of Generalized Latin Rectangles and Trapezoids}, Enumerative Combinatorics and Applications {\bf 2}(1) (2022), Article S2R8.

228. (With Shalosh B. Ekhad) {\it On Invariance Properties of Entries of Matrix Powers}, Palestine Journal of Mathematics {\bf 11}(2), (2022), 1-5.

229. (With Yukun Yao), {\it Numerical and Symbolic Studies of the Peaceable Queens Problem}, Experimental Mathematics {\bf 31} (2022), 269-279.

230, (With  Robert Dougherty-Bliss and Christoph Koutschan) {\it Tweaking the Beukers Integrals In Search of More Miraculous Irrationality Proofs \`A La Ap\'ery},
Ramanujan Journal {\bf 58} (2022), 973-994.

231. (With Rebecca Embar) {\it Counting Condorcet}, Enumerative Combinatorics and Applications {\bf 2}(3) (2022), Article S2R22.

232. (With Tewodros Amdeberhan) {\it An elegant Multi-Integral that implies an even more elegant determinant identity of Dougherty and McCammond},
Palestine Journal of Mathematics {\bf 11}(4) (2022), 1-6.

233. (With George Spahn) {\it Counting Permutations Where The Difference Between Entries Located r Places Apart Can never be s (For any given positive integers r and s)},
Enumeratice Combinatorics and Applications {\bf 3}(2) (2023), Article S2R10.

234. (With George Spahn) {\it Variations on the Missionaries and Cannibals Problem},
Discrete Mathematics Letters {\bf 11} (2023), 84-90.

235. (With Robert Dougherty-Bliss) {\it Exploring General Apéry Limits via the Zudilin-Straub t-transform},
Journal of Difference Equations and Applications  {\bf 29}(1) (2023), 34-42.

236. (With Robret Dougherty-Bliss) {\it Automatic Conjecturing and Proving of Exact Values of Some Infinite Families of Infinite Continued Fractions},
Ramanujan Journal {\bf 61}(1)(2023), 31-47.

237. (With Tewodros Amdeberhan and Christoph Koutschan), {\it Yay For Determinants!}, S\'eminaire Lotharingien de Combinatoire, {\bf B89a} (2023), 14 pp.

238. (With Jean-Paul Allouche), {\it  Human and Automated approaches for finite trigonometric sums},  Ramanujan Journal {\bf 62} (2023), 189-214

239. (With Lucy Martinez) {\it How many Dice Rolls Would It Take to Reach Your Favorite Kind of Number},  Maple Transactions {\bf 3} (Autumn 2023)

240. (With Robert Dougherty-Bliss), {\it Lots and Lots of Perrin-Type Primality Tests and Their Pseudo-Primes}, INTEGERS  {\bf 23}(2023) \#A95.

241. (With Svante Janson and Blair Seidler), {\it On the Statistics of the Number of Fixed-Dimensional Subcubes in a Random Subset of the n-Dimensional Discrete Unit Cube},
Palestine Journal of Mathematics,  {\bf12} (2023), 512-520.

242. (With Lucy Martinez), {\it A Guide to the Risk-Averse Gambler and Resolving the St. Petersburg Paradox Once and For All}, The College Mathematics Journal {\bf 55}(2024), 226-234

243. (With AJ Bu), {\it Using Symbolic Computation to Explore Generalized Dyck Paths and Their Areas}, Palestine Journal of Mathematics {\bf 13} (2024),1-13.

244. (With Gil Kalai), {\it Bijective and Automated Approaches to Abel Sums}, Seminaire Lotharingien de Combinatoire   {\bf 91} 2024), B91a.

245. (With George Spahn), {\it Experimenting with Discrete Dynamical System}, J. Difference Equations and Applications {\bf  30} (2024), 1733-1746.

246. (With George Spahn), {\it Enumerating Seating Arrangements that Obey Social Distancing}, J. Symbolic Comput. {\bf 126}(2025), Paper No. 102344, 8 pp

247.  (With Robert Dougherty-Bliss, Christoph Koutschan, Natalya Ter-Saakov), {\it The (Symbolic and Numeric) Computational Challenges of Counting 0-1 balanced matrices},
Enumerative Combinatorics and Applications {\bf 5:2} (2005) \#S2R14.

248. (With Shalosh B. Ekhad), {\it  Experimenting with the Garsia-Milne Involution Principle}, SIGMA {\bf 21} (2025), 015, 6 pages.

249. (With Noga Alon, Yaakov Malinovsky, and Lucy Martinez), {\it Hitting k primes by dice rolls}, Electronic Journal of Combinatorics {\bf 32(4)}(2025), Article number P4.16.

250. (With   Robert Dougherty-Bliss and  Charles Kenney), {\it Creating Decidable Diophantine Equations}, American Mathematical Monthly vol {\bf 132} (2025), 947-959.

251. (With Tipaluck Krityakierne and  Thotsaporn "Aek" Thanatipanonda), {\it von Neumann and Newman Pokers with Finite Decks}, Mathematical Intelligencer {\bf 47} (2025), 314-322.

252. (With  Tewodros Amdeberhan and Manuel Kauers) {\it The Challenge of Computing Geode Numbers}, Palestine Journal of Mathematics {\bf 14} (2025), 709-713.

253. (With  Tewodros Amdeberhan), {\it Proofs of Three Geode Conjectures},Enumerative Combinatorics and Applications A {\bf 6:1} (2026), Article \#S2R2.

254. (With Shalosh B. Ekhad) {\it Efficient weighted counting of multiset derangements}, Arab. J. Math. (2025). https://doi.org/10.1007/s40065-025-00524-0 (on-line before print, volume and page tbd)

\bigskip
\centerline{\bf Refereed Publications in the Personal Journal of Ekhad and Zeilberger}
\medskip
The articles listed here were thoroughly refereed (non-anonymously).
They are available from:
{\tt http://www.math.rutgers.edu/\Tilde zeilberg/pj.html}.
\medskip

1. {\it Proof of a Conjecture of Philippe Di Francesco and Paul Zinn-Justin 
related to the qKZ equations and to
Dave Robbins' Two Favorite Combinatorial Objects}, 2006.


2. {\it On Vince Vatter's Brilliant Extension of Doron Zeilberger's
Enumeration Schemes for Counting Herb Wilf's Classes}, 2006.


3. {\it Proof of a Conjecture of Amitai
Regev about Three-Rowed Young Tableaux (and much more!)},2006.


4. (With Andrew Baxter)
{\it The Number of Inversions and the Major Index of Permutations are Asymptotically Joint-Independently Normal}, 2010. 

\bigskip


\bigskip
\centerline{\bf Non-Refereed Publications in the Personal Journal of Ekhad and Zeilberger}
\medskip
In addition I have many publications that I did not bother to send to "official" journals. They are also here: 

{\tt http://www.math.rutgers.edu/\Tilde zeilberg/pj.html}.

Many of them are also in arxiv.org .



{\bf BOOKS:}
 
B1. (With M. Petkovsek and H. S. Wilf) {\it A=B}, AK Peters, Wellesley, (1996).

B2. {\it Shalosh B. Ekhad's 2050 Plane Geometry  Text},
(webbook, \hfill\break
{\tt http://www.math.rutgers.edu/\Tilde zeilberg/PG.html})

B3. {\it Shalosh B. Ekhad's Computer-Generated Alphametics},
(webbook, \hfill\break
{\tt http://www.math.rutgers.edu/\Tilde zeilberg/hans/hans.html})

\bigskip
{\bf BOOK REVIEWS:}
 
1. {\it Review of "The Umbral Calculus'' by S.Roman}, Bull. A.M.S., 
{\bf 13}, 73-76(1985).

2. {\it Review of "Proof and Confirmation'' by 
D. Bressoud}, Amer. Math. Monthly, Feb. 2001.

3. {\it Review of "Kepler's Problem'' by G. Szpiro},
Science {\bf 301}, 1086 (Aug. 29, 2003).

4. {\it Review of "Mathematics by Experiments'' by J. Borwein and D. Bailey},
Amer. Sci., March-April 2005, 182-183.
 
\vfill\eject

{\bf Ph.D. Thesis:}

{\it ``New Approaches and Results in the Theory of Discrete
Analytic Functions''}, Weizmann Institute of Science,
Revovot. Israel, Aug. 1976. Advisor: Harry Dym.
\bigskip
\bigskip
   
\end