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I am a combinatorist. More specifically, I work on enumerative /
algebraic combinatorics, and on graph theory.
My past work includes combinatorial theory on lattice paths,
multi-variable analogues of Catalan and Schr\"oder numbers and their more generalized theories.
In addition, I lectured on extremal combinatorics and algebraic / probabilistic methods (at
of Technology, fall 05 - spring 06).
Currently, I am interested in looking for a systematic method of applying probability theory
to the domain that I am familiar with. The probabilistic method (in combinatorics) was invented by
Erd\"os and later heavily developed by Alon, Graham, Spencer, etc. I wish to
contribute my own elements of somewhat different flavor.
The combinatorics that I work on is in pure mathematics.
It is broadly believed that further development of combinatorial theory
will have deep impacts onto the other domains of mathematics. Despite
the fact that our results and methodologies may be readily utilized in
the industry, it's not yet my primary concern to develop applications (at least
not for the moment being).
Prospective graduate students should contact me to request a copy of
"What do I expect from my students?" (in Chinese, unavailable yet).
Combi. Center, Nankai
Electron. J. Combi.
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