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Mohit Kumbhat

Lecturer
Department of Mathematics
Iowa State University
396 Carver Hall, Ames, IA 50011
Office: 451 Carver Hall
e-mail: mkumbhat(at)iastate.edu
Phone: 1-515-708-2347

About me

I am currently a Lecturer at Iowa State University. My research interests range over Combinatorics and Graph Theory. I am particularly interested in extremal problems in graph theory, including graph coloring, probabilistic method, etc. I graduated from University of Illinois under the guidance of Alexandr V. Kostochka.

Publications

  • I,F-partitions of Sparse Graphs (with A. Brandt, M.Ferrara, S.Loeb, D.Stolee, M.Yancey), (submitted).
  • Identifying codes and searching with balls in graphs (with Y.Kim, Z. Nagy, B. Patkos, A. Pokrovskiy, M. Vizer), (Discrete Applied Mathematics), 193 (2015), 39–-47.
  • Non-minimal degree-sequence-forcing triples (with M. Barrus, S. Hartke), (Graphs and Combinatorics), 31 (2015), 1189--1209.
  • Choosability with separation of complete multipartite graphs and hypergraphs (with Z. Furedi, A. Kostochka), (J. Graph Theory), 76 Issue 2 (2014) 129--13.
  • Conflict free coloring of simple hypergraphs with few edges (with A. Kostochka, T. Luczak), to appear in (Combinatorics, Probability and Computing).
  • Coloring uniform hypergraphs with small edge degrees (with A. Kostochka, V. Rodl), Fete of Combinatorics, Bolyai Society Mathematical Studies, 20 (2010), 1--26.
  • Coloring simple uniform hypergraphs with few edges (with A. Kostochka), Random Structures and Algorithms 35 (2009), 348--368.
  • Graph classes characterized both by forbidden subgraphs and degree sequences (with M. Barrus, S. Hartke), J. Graph Theory 57 (2008), 131--148.
  • Choosability with separation of complete graphs (with Z. Furedi, A. Kostochka), (arxiv.org/abs/1303.4030).
  • (4,2)-choosability of planar graphs with forbidden structures, (with Z. Berikkyzy, C. Cox, M. Dairyko, K. Hogenson, B. Lidicky, K. Messerschmidt, Kevin Moss, K. Nowak, K. Palmowski, D. Stolee), (in preparation).
  • Choosability with union separation, (with K. Moss, D. Stolee), (in preparation).

Presentations

  • AMS Sectional Meeting, Chicago, IL (invited talk) Oct 2015
  • Discrete Math seminar, Univ of Nebraska, (invited talk) Mar 2015
  • AMS Sectional Meeting, Eau Claire, WI (invited talk) Sep 2014
  • Discrete Math seminar, Iowa State University Sep 2014
  • Math Colloquium, Sungkyunkwan University, S. Korea May 2014
  • Discrete Math seminar, Korea Adv. Inst. of Sci and Tech., S. Korea (invited talk) Nov 2012
  • 54th KPPY seminar, Pusan National University, S.Korea (invited talk) Oct 2012
  • AMS Southeastern Sectional Meeting, University of South Florida, Tampa. March 2012
  • IIT SIAM 2011, Illinois Institute of Tech., Chicago Oct 2011
  • Joint Mathematics Meetings, AMS Session on Combinatorics and Graph Theory, III, New Orleans, Jan 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

  • Discrete Mathematics - Fall 2012, 2013, Spring 2013
  • Linear Algebra - Spring 2015, Fall 2008, 2009
  • Calculus I,II - Fall 2014, Spring 2013, 2015
  • Calculus III - Summer 2010, Fall 2012, 2013, 2015
  • Calculus III Supplement (online, Mathematica based) - Fall 2010, Spring 2011
  • A Mathematical World - Spring 2009
  • Pre-Calculus - Fall 2015

Academics

  • PhD in Mathematics from University of Illinois, Urbana-Champaign, (2004-2012)
  • 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)