Vivek Dhand


firstname dot lastname at gmail dot com

Here is a pdf copy of my CV.

Research

I am interested in interactions between representation theory and combinatorics: especially geometric structures associated to algebraic groups, crystal bases for quantum groups, and chain coverings of posets.

Here are the slides from a talk about Young's partition lattice (Dec. 11, 2012).

Here are the slides from a talk about necklaces. (Oct. 4, 2011).


Preprints and papers

  1. A combinatorial proof of strict unimodality for q-binomial coefficients.
  2. Rank-unimodality of Young's lattice via explicit chain-decomposition.
  3. Tropical decomposition of Young's partition lattice. To appear in J. Alg. Comb.
  4. Symmetric chain decomposition of necklace posets. Elec. J. Combin. 19 (2012) P26.
  5. Geometric Langlands duality and forms of reductive groups. (Thesis)

Math Circle problems


Miscellaneous expository notes


Origami

Here is my page of Origami models.

Old class lecture notes and exercises

Spring 2011:

Math 310: Abstract Algebra and Number Theory

Fall 2010:

Math 309: Linear Algebra

Math 481: Discrete Math I


Spring 2010:

Math 310: Abstract Algebra and Number Theory

Math 482: Discrete Math II


Fall 2009:

Math 481: Discrete Math I


Summer 2009:

Math 310: Abstract Algebra and Number Theory


Spring 2009:

Math 481: Discrete Math I

Math 482: Discrete Math II


Fall 2008:

Math 481: Discrete Math I
Department of Mathematics, Michigan State University.
Last modified: Tuesday, Feb. 11, 2014.