Mohit Kumbhat

About me

I am a graduate student at University of Illinois at Urbana-Champaign. My research interests range over Combinatorics and Graph Theory. I am particularly interested in extremal problems in graph theory, including graph coloring, set-systems, probabilistic method, etc. My advisor is Alexandr V. Kostochka.

Publications

Choosability with separation of complete multipartite graphs and hypergraphs (with Z. F\"uredi, A. Kostochka), (submitted).pdf
Choosability with separation of complete graphs (with Z. F\"uredi, A. Kostochka), (manuscript). pdf
Conflict free coloring of simple hypergraphs with few edges (with A. Kostochka, T.{\L}uczak), to appear in (Combinatorics, Probability and Computing). pdf
Non-minimal degree-sequence-forcing triples (with M. Barrus, S. Hartke), (submitted). pdf
Coloring uniform hypergraphs with small edge degrees (with A. Kostochka, V. R\"odl), Fete of Combinatorics, Bolyai Society Mathematical Studies, 20 (2010), 1--26. pdf
Coloring simple uniform hypergraphs with few edges (with A. Kostochka), Random Structures and Algorithms 35 (2009), 348--368. pdf
Graph classes characterized both by forbidden subgraphs and degree sequences (with M. Barrus, S. Hartke), J. Graph Theory 57 (2008), 131--148. pdf

Presentations

IIT-SIAM 2011, Illinois Institute of Technology, Chicago, October 2011.
Joint Mathematics Meetings, AMS Session on Combinatorics and Graph Theory, III, New Orleans, January 2011.
6th Graduate Student Combinatorics Conference, Auburn University, April 2010.
47th Midwest Graph Theory Conference, Illinois Institute of Technology, Chicago, Nov 2008.
4th Graduate Student Combinatorics Conference, U of California, Davis, April 2008.
45th Midwest Graph Theory Conference, U of Detroit, Mercy, Oct 2007.
2nd Graduate Student Combinatorics Conference, U of Wisconsin, Madison, April 2006.
Combinatorics Seminar, U. of Illinois, Feb 2007, April 2008, March 2009, Feb 2010.

Teaching

Math 220 - Calculus I (Fall 2006)
Math 231 - Calculus II (Spring 2007)
Math 012 - Algebra (Fall 2007)
Math 241 - Calculus III (Spring 2008)
Math 225 - Introductory Matrix Theory (Fall 2008)
Math 181 - A Mathematical World (Spring 2009)
Math 225 - Introductory Matrix Theory (Fall 2009)
Math 241 - Calculus III (small group learning) (Spring 2010)
Math 241 - Calculus III (Summer 2010)
Math 292 - Calculus III (with Mathematica) (Fall 2010)

Academics

PhD in Mathematics from University of Illinois, Urbana-Champaign, (2004-Present)
Master of Science in Mathematics from Indian Institute of Technology, Kharagpur, India (2002-2004)
Bachelor of Science in Mathematics (Hons.) from St. Xavier's College, Calcutta, University of Calcutta, India (1999-2002)