 
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 : arXiv
- On isosystolic inequality for Tn, RPn, and M3 
 Submitted
 PDF : arXiv
- Fox reimbedding and Bing submanifolds 
 To appear in Transactions of American Mathemtiacal Societies
 PDF : arXiv : Journal
- The 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