Degree | Doctor of Philosophy in Mathematics |
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Date Expected | May 2018 |
Advisor | Alex Kontorovich |
Degree | Bachelor of Science in Mathematics, with Highest Distinction |
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Date Awarded | May 2013 |
Minor | Computer Science |
GPA | 4.00 |
For my thesis research, I'm investigating the distribution of closed geodesics in an arithmetic quotient of hyperbolic 3-space. The main area of my research is number theory, although my thesis project involves geometry and dynamics as well.
I'm very grateful to CCICADA and the Department of Homeland Security for funding my graduate studies in my third and fourth years and providing valuable opportunities to me in the form of research projects and internships.
Awarded to a member whose leadership and service to the Rutgers Math Department and to other mathematical communities is outstanding.
This fellowship partially supported me during my second year of graduate studies.
This fellowship supported me during my first year of graduate studies, allowing me to concentrate on passing my written qualifying exams.
Awarded to one outstanding graduating undergraduate math major at UNL.
Awarded to graduating seniors who have maintained 4.0 grade-point averages on all collegiate work at UNL.
A group that maintains student evaluations of graduate courses, offers advice in matters of concern to graduate students, and generally eases the process of communication between faculty and graduate students.
A group that engages in collaborative projects and discusses programming basics, algorithms topics, and technical interview prep.
Position | Course | University | Semester |
---|---|---|---|
Instructor | Introductory Linear Algebra | Rutgers | Summer 2015 |
Duties included holding lectures, creating exams and quizzes, and assigning final grades. | |||
Teaching Assistant | Graduate Complex Analysis I | Rutgers | Fall 2015 |
Duties included grading and office hours. | |||
Teaching Assistant | Calculus I | Rutgers | Spring 2015 |
Duties included holding recitation, grading, and office hours. | |||
Teaching Assistant | Multivariable Calculus | Rutgers | Fall 2014 |
Duties included holding recitation, grading, and office hours. | |||
Undergraduate Teaching Assistant | Calculus II | University of Nebraska | Spring 2013 |
Duties included holding recitation, grading, and office hours. | |||
Undergraduate Teaching Assistant | Calculus II | University of Nebraska | Fall 2012 |
Duties included holding recitation, grading, and office hours. | |||
Undergraduate Teaching Assistant | Calculus II | University of Nebraska | Spring 2012 |
Duties included grading and office hours. | |||
Graduate Assistant | Junior/Senior Honors Seminar | Rutgers | Spring 2017 |
Topic of the seminar was `Elementary Number Theory, Group Theory and Ramanujan Graphs.' Duties included attending the seminar and being available for questions. | |||
Grad Student Mentor | Directed Reading Program | Rutgers | Spring 2016 |
Met weekly with an undergraduate student to discuss a graduate level textbook in mathematics. | |||
Grad Student Mentor | DIMACS REU Program | Rutgers | Summer 2015 |
Provided guidance for an undergraduate student during their summer research. |
Title | Seminar | Date |
---|---|---|
Invited Talks | ||
'Dynamics, Geometry, and Number Theory' | Rutgers Mathematics Pre-enrollment Program | August 2017 |
'The Effects of Network Topology on the Performance of Probe Schedulers' | CCICADA Research Group Lab Meeting | March 2017 |
Internal Talks | ||
'The Fractal Uncertainty Principle' | Graduate Number Theory Seminar | October 2017 |
'Quantum Chaos' | Graduate Pizza Seminar | October 2017 |
'Transfer Operators and the Trace Formula' | Graduate Number Theory Seminar | May 2017 |
'Hausdorff Dimension for part of the Markoff Spectrum' | Graduate Number Theory Seminar | March 2017 |
'Dirichlet Series and Kakeya Sets' | Graduate Number Theory Seminar | February 2017 |
'Furstenberg's Multiple Recurrence Theorem' | Graduate Combinatorics Seminar | February 2017 |
'Network Science and the Internet' | Graduate Pizza Seminar | December 2016 |
'Quantum Computing and Golden Gates' | Graduate Number Theory Seminar | November 2016 |
'Hausdorff Dimension' | Graduate Analysis Seminar | October 2016 |
'Langlands Program' | Graduate Number Theory Seminar | September 2016 |
'Thermodynamic Formalism' | Graduate Number Theory Seminar | April 2016 |
'Badly Approximable Numbers' | Graduate Number Theory Seminar | February 2016 |
'Non-Euclidean Geometric Combinatorics' | Graduate Pizza Seminar | February 2016 |
'The Circle Method' | Graduate Combinatorics Seminar | January 2016 |
'Invariant Measures and Unique Ergodicity' | Graduate Analysis Seminar | November 2015 |
'Zeta Functions of Graphs' | Graduate Combinatorics Seminar | October 2015 |
'Ramanujan Graph Constructions' | Graduate Number Theory Seminar | October 2015 |
'The Behavior of Continued Fractions' | Graduate Pizza Seminar | March 2015 |
'The Complexity of Algebraic Numbers' | Graduate Combinatorics Seminar | February 2015 |
'Voltage Graphs and the Heawood Problem' | Graduate Combinatorics Seminar | April 2014 |