Jia Huang's Homepage

Jia Huang
Ph.D. candidate (Advisor: Vic Reiner)
School of Mathematics	Office: Vincent Hall 422
University of Minnesota	Phone: +1 (612) 625-8553
Minneapolis, MN 55455	E-mail: huang338@umn.edu

Teaching

Fall 2011: MATH 1142 Short Calculus, Discussion Section 022 & 025.
- Course webpage by Prof. Webb.
- Office hours: M 10:10-11:00, 1:25-2:15, Tu 10:10-11:00, Th 12:20-1:10, Vincent Hall 422.
- Some answers to homework.
- Solutions to Exam I.
Calculus I, II, Multivariable Calculus, Short Calculus, School of Mathematics, University of Minnesota, 2007-2010.
Calculus, Linear Algebra, Complex Analysis, Methods in Mathematical Physics, Equations of Mathematical Physics, USTC, 2003-2007.

Research Interests

My research interests are combinatorics and its connections with algebra.
A statement of my thesis research.
My Curriculum Vitae.
Computers are very useful in my research. I often use GAP, Magma, Mathematica, and Sage.

Publications

An improved upper bound for the bondage number of graphs on surfaces, to appear in Discrete Mathematics (preprint).
Cyclic sieving of finite Grassmannians and flag varieties (joint with Andrew Berget), to appear in Discrete Mathematics (preprint).
0-Hecke algebra actions on coinvariants and flags, to appear in DMTCS Proceedings, FPSAC 2011. (preprint).
A gluing construction for polynomial invariants, Journal of Algebra 328 (2011) 432-442. (preprint)
Publications from previous study in graph theory: see my CV.

Invited Talks

0-Hecke algebra action on polynomials, presented at
- LaCIM seminar, Université du Québec à Montréal, March 2012.
- AMS Spring Southeastern Section Meeting, University of South Florida, March 2012.
- Combinatorics Seminar, University of Minnesota, February 2012.
Couting fixed points of torus action on flags, presented at
- Combinatorics Seminar, University of Minnesota, February 2011.
0-Hecke algebra actions on coinvariants and flags, presented at
- FPSAC 2011, the 23rd International Conference on Formal Power Series and Algebraic Combinatorics, Reykjavik, June 2011.
- BIRS Workshop on Quasisymmetric Functions, Banff, Canada, November 2010.
- Algebra and Discrete Mathematics Seminar, UC Davis, October 2010.
- Combinatorics Seminar, University of Minnesota, September 2010.
Linear sparsity groups and their polynomial invariants, presented at
- Combinatorics Seminar, University of Minnesota, November 2009.
- CMS Summer Meeting, Memorial University of Newfoundland, St. John's, Canada, June 2009.
Bondage number and efficient domination of vertex-transitive graphs, the Second China National Conference on Combinatorics and Graph Theory, Nankai University, Tianjin, China, August 2006.
Bondage numbers of graphs with small crossing numbers, 2005 International and 3rd Cross-strait Conference on Graph Theory and Combinatorics, Jinhua, China, June 2005.

Hobbies