Brief CV

Brief CV:

Professional Experiences:

August, 2007 - present   Assistant Professor of Mathematics, The George Washington University, Washington, DC
September, 2004 - August, 2007   Visiting Assistant Professor of Mathematics, University of Massachusetts, Amherst, MA
Education:

September, 2004   Doctor of Philosophy in Mathematics, MIT, Cambridge, MA
July, 1998   Bachelor of Science in Mathematics, Peking University, Beijing, China
Publications:

  1. On the Kauffman-Vogel and the Murakami-Ohtsuki-Yamada Graph Polynomials, to appear in J. Knot Theory Ramifications. [arxiv download]
  2. Equivariant colored sl(N)-homology for links, J. Knot Theory Ramifications Vol. 21, No. 2 (2012), 1250012 (104 pages). [arxiv download]
  3. Generic deformations of the colored sl(N)-homology for links, Algebraic & Geometric Topology 11 (2011) 2037-2106. [arxiv download]
  4. On the Quantum Filtration of the Khovanov-Rozansky cohomology, Advances in Mathematics 221 (2009), NO. 1, 54-139. [arxiv download]
  5. Braids, Transversal Links and the Khovanov-Rozansky Theory, Trans. Amer. Math. Soc. 360 (2008) NO. 7, 3365-3389. [arxiv download]
  6. On Legendrian Surgeries, Mathematical Research Letters 14 (2007) NO. 3, 513 - 530. [arxiv download]
  7. Legendrian Links and the Spanning Tree Model for Khovanov Homology, Algebraic & Geometric Topology 6 (2006), 1745 - 1757. [arxiv download]
  8. Legendrian Vertical Circles in Small Seifert Spaces, Communications in Contemporary Mathematics, Vol. 8, No. 2 (2006), 219 - 246. [download] [arxiv download part 1] [arxiv download part 2]
  9. Tight contact structures on small Seifert spaces, PhD Thesis, MIT, 2004. [download]
Preprints:

11/11     Simplified Khovanov-Rozansky Chain Complexes of Open 2-braids [arxiv download]
02/11     Colored Morton-Franks-Williams inequalities [arxiv download]
07/09     A colored sl(N)-homology for links in S^3 [arxiv download] [a condensed version]
Unpublished Notes:

03/07     The Khovanov-Rozansky Cohomology and Bennequin Inequalities [arxiv download]
05/05     On the Slicing Genus of Legendrian Knots [arxiv download]
12/03 A New Way to Compute the Thurston-Bennequin Number [arxiv download]
Talks:

12/2011   The sl(N) Rasmussen invariants of (2, 2k+1) cable knots, Knots in Washington XXXIII, Washington, DC
06/2011   Colored sl(N) link homology via matrix factorizations, Homological Invariants in Low-Dimensional Topology Workshop , Stony Brook, NY (slides, video)
05/2011   Colored Morton-Franks-Williams inequalities, Special Session, AMS Sectional Meeting, Las Vegas, NV
12/2010   Colored Morton-Franks-Williams inequalities, Knots in Washington XXXI, Washington, DC
10/2010   Combinatorial link homologies, Colloquium, George Mason University, Fairfax, VA
05/2010   Generic deformations of the colored sl(N)-homology for links, Special Session, AMS Sectional Meeting, Newark, NJ
05/2010   Color and orientation in sl(N)-homology, Knots in Washington XXX, Washington, DC
04/2010   Colored sl(N)-homology for links and its deformations, Special Session, AMS Sectional Meeting, St. Paul, MN
12/2009   A colored sl(N)-homology for links in S^3, Geometry Seminar, University of Virginia, Charlottesville, VA
12/2009   A colored sl(N)-homology for links in S^3, Knots in Washington XXIX, Washington, DC
11/2009   A colored sl(N)-homology for links in S^3, Special Session, AMS Sectional Meeting, Riverside, CA (slides)
10/2009   A colored sl(N)-homology for links in S^3, Special Session, AMS Sectional Meeting, Boca Raton, FL
02/2009   sl(N)-homology for 1, 2-colored links, Knots in Washington XXVIII, Washington, DC
01/2009   Matrix factorizations and colored MOY graphs, AMS National Meeting, Special Session on Categorification and Link Homology, Washington, DC
05/2008   Matrix factorizations and colored MOY graphs, Georgia Topology Conference, Athens, GA
12/2007   Matrix factorizations and colored MOY graphs, Knots in Washington XXV, Washington, DC
11/2007   The Khovanov-Rozansky cohomology of Legendrian and transversal links, Knotting Mathematics and Art, Tampa, FL
05/2007   Perturbations of the Khovanov-Rozansky sl(n)-Cohomology, Georgia Topology Conference, Athens, GA
04/2007   Perturbations of the Khovanov-Rozansky sl(n)-Cohomology, Topology Seminar, Brandeis University, Waltham, MA
04/2007   The Khovanov-Rozansky cohomology and Bennequin inequalities, Knots in Washington XXIV, Washington, DC
03/2007   The Khovanov-Rozansky cohomology and Bennequin inequalities, BIRS Workshop on Interactions of Geometry and Topology in Low Dimensions, Banff, Alberta, Canada
01/2007   Contact topology in dimension 3, Candidate Talk, George Washington University, Washington, DC
01/2007   Transversal links and the Khovanov-Rozansky Cohomology, Candidate Talk, Georgia Southern Univeristy, Statesboro, GA
12/2006   Perturbations of the Khovanov-Rozansky sl(n)-Cohomology, Colloquium/Candidate Talk, Kansas State University, Manhattan, KS
10/2006   Transversal knots and Khovanov-Rozansky cohomology, Topology and Geometry Seminar, University of Wisconsin-Madison
10/2006   Khovanov Homology and Contact Knot Theory, AMS Sectional Meeting, Special Session on Floer Methods in Low-dimensional Topology, Salt Lake City, UT.
06/2006   Legendrian Knots and the Spanning Model of the Khovanov Homology, Park City Mathematical Institute, Park City, UT.
04/2006   Transversal Knots and Khovanov-Rozansky Cohomology, AMS Sectional Meeting, Special Session on Symplectic and Contact Topology, Durham, NH.
08/2004   Tight Contact Structures on Small Seifert Spaces, Georgia Topology Conference, Athens, GA.
04/2004   Legendrian Regular Fibers in Small Seifert Spaces, AMS Sectional Meeting, Special Session on Contact and Symplectic Geometry, Los Angeles, CA.
Reading Seminars:

Spring, 09     Khovanov-Rozansky Homology Seminar
Spring, 05     Heegaard Floer Homology Seminar

Last updated on Mar. 26, 2012.