Research
articles : gallaries : presentations
My interests are in low-dimensional geometry/topology, hyperbolic/differential/discrete geometry, geometric group theory, and number theory.
Articles
When ready for publication, most of my articles will be posted on arXiv.
The local-global principle for the integral bends
in orthoplicial Apollonian sphere packings
PDF : arXivOn isosystolic inequality for Tn, RPn, and M3
Submitted
PDF : arXivFox reimbedding and Bing submanifolds
To appear in Transactions of American Mathemtiacal Societies
PDF : arXiv : JournalThe girth-alternative for mapping class groups
Groups, Geometry, and Dynamics 8 (2014), no. 4, 225-244
PDF : arXiv : Journal
Galleries
Circle Packings
(the link is broken, and it will be fixed in the near future)Sphere Packings
(the link is broken, and it will be fixed in the near future)
Presentations
Some of my research presentations in the recent past and the near future are listed below.
MAA MathFest, August 2015
Marriott Wardman Park, Washington, DC
AMS Sectional Meeting, April 2015
University of Nevada, Las Vegas, NV
Number Theory Seminar, March 2015
Rutgers University, New Brunswick, NJ
Geometry-Topology Seminar, February 2015
University of California, Davis, CA
Geometry-Topology Seminar, February 2014
University of California, Davis, CA
Geometry-Topology Seminar, October 2013
University of California, Davis, CA
Geometry-Topology Seminar, February 2013
University of Pennsylvania, Philadelphia, PA
Geometry-Topology Seminar, February 2013
Temple University, Philadelphia, PA
AMS/MAA Joint Meeting, January 2012
Hynes Convesntion Center, Boston, MA
Geometry-Topology Seminar, November 2011
Temple University, Philadelphia, PA
CIMPA-UNESCO-VIETNAM School and Workshop, January 2011
Vietnamese Academy of Science and Technology, Hanoi, Vietnam
Topology Seminar, October 2010
Princeton University, Princeton, NJ
Geometry-Topology Seminar, May 2010
City University of New York, Newyork, NY
Geometry-Topology Seminar, October 2009
University of Pennsylvania, Philadelphia, PA
Geometry-Topology Seminar, September 2009
Temple University, Philadelphia, PA
Geometry-Topology Seminar, July 2009
Tokyo Institute of Technology, Tokyo, Japan
Geometry-Topology Seminar, April 2009
University of Arkansas, Fayetteville, AR
Colloquium, April 2009
University of Arkansas, Fayetteville, AR
Colloquium, September 2008
Oklahoma State University, Stillwater, OK
Topology Seminar, Septermber 2008
Oklahoma State University, Stillwater, OK