I am a visiting professor in the Department of Mathematics at Tulane University. I spent three years in Texas A&M University as a visiting assistant professor from 2004 to 2007, after receiving my Ph.D. at Temple University under the guidance of Dr. Doron Zeilberger in 2004.

My research is focused on Algebraic Combinatorics, WZ-Algorithm, and Combinatorial Games . Some of my work can be found in the list of publications below. Some can be found here: Chomp, Wythoff's Game and Peg Solitaire. There are also some results on Ternary Square-free words. I also worked on projects in computer science too.

Publications: The p-adic valuations of sequences counting alternating sign matrices (with Victor Moll), submitted A new algorithm for the recursion of hypergeometric multisums with improved universal denominator (with Stavros Garoufalidis) and associated software package iSum and examples, submitted A binary tree representation for the 2-adic valuation of a sequence arising from a rational integral (with Victor Moll), submitted The non-commutative A-polynomial of twist knots (with Stavros Garoufalidis), submitted Multivariate Goncarov Polynomials and (X,Y)-Parking Functions (with Dimitrije N. Kostic, Xinyu Sun), preprint Lattice and Schroder paths with periodic boundaries (with J. Kung, A. de Mier, and C.H. Yan), Accepted by Journal of Statistical Planning and Inference Two-Boundary Lattice Paths and Parking Functions (with J. Kung, and C.H. Yan), Advances in Applied Mathematics, 39 (2007), 515-524 Goncarov-Type polynomials and Applications in Combinatorics (with Joseph P.S. Kung and Catherine Yan), preprint The C-polynomial of a knot (with Stavros Garoufalidis), Algebraic and Geometric Topology, 6 (2006) 1001-1031. Wythoff's Sequence and N-Heap Wythoff's Conjectures, Discrete Mathematics, 300 (2005), 180-195 On Fraenkel's N-Heap Wythoff's Conjectures  (with Doron Zeilberger), Annals of Combinatorics 8 (2004), 225-238 New Lower-Bound On The Number of Ternary Square-Free Words, Journal of Integer Sequences, Vol. 6 (2003), Article 03.3.2 Improvements on Chomp, Integers, Vol. 2 (2002)

Fully Refereed Conference Papers in Computer Science: Geometric Robot Mapping (with R. Lakaemper, L. J. Latecki, and D. Wolter) Int. Conf. on Discrete Geometry for Computer Imagery (DGCI), April 2005. Shape-Based Robot Mapping (with L. J. Latecki, R. Lakaemper, and D. Wolter), 27th German Conf. on Artificial Intelligence, Ulm, Germany, September 2004 Building Polygonal Maps from Laser Range Data. Proceedings of the Fourth International Workshop Cognitive Robotics, 2004, 56-62 Construction of Global Maps with Polygonal Objects from Laser Range Data (with L. J. Latecki, R. Lakaemper, and D. Wolter), IASTED International Conference on Robotics and Applications (RA 2004), Hawaii, USA, August 2004

Dissertation: Computer-Assisted and Computer-Generated Research in Combinatorial Games and Pattern-Avoidance (pdf, ps)

Teaching Experience: Math 320/620 Combinatorics at Tulane University, Spring 2009 Math 115 Long Calculus I at Tulane University, Fall 2008 Math 122 Calculus II at Tulane University, Fall 2008 Math 320/620 Combinatorics at Tulane University, Spring 2008 Math 224 Introduction to Applied Math at Tulane University, Spring 2008 Math 121 Calculus I at Tulane University, Fall 2007 Math 217 Discrete Mathematics at Tulane University, Fall 2007 Math 166 Topics in Contemporary Mathematics II at Texas A&M University, Spring 2007 Math 171 Calculus I at Texas A&M University, Spring 2007 Math 308 Differential Equations at Texas A&M University, Fall 2006 Math 308 Differential Equations at Texas A&M University, Spring 2006 Math 251 Engineering Mathematics III at Texas A&M University, Fall 2005 Math 151 Engineering Mathematics I at Texas A&M University, Spring 2005 Math 131 Applied Calculus at Texas A&M University, Fall 2004 Calculus, College Algebra and Trigonometry, College Algebra at Temple University, 1993-1994, 2002-2004 Java at Temple University Center of Advanced Technology (TUCAT), 2001 Applied Operating System Concepts at Villanova University, Fall 2001 Advanced Mathematics at Jilin University, Jilin, China, 1989-1992

Additional Documents: Curriculum Vitae Research Plan Teaching Statement

And of course, I have a personal life.