James J. Alexander

 
             
           
 
research

Research

If you are looking at the research section of my website, odds are that you are either looking for slides from the talk I gave recently at UDel (if so, here), or you are looking for a preprint of the paper that I recently published with Jonathan Cutler and Tim Mink, Independent sets in graphs with given minimum degree. If not, then I hope that you find what you are looking for below.

 

Grants and Research Awards

  • University of Delaware GEMS grant, 2013, included $6,000 stipend

  • Margaret and Herman Sokol Graduate Research Fellowship, 2011, included $5,000 stipend
  • University of Georgia REU, 2008, included $4,000 stipend

  • MSU CSAM Graduating Masters Research Award, 2012

  • MSU Outstanding MS Student in Mathematics, 2012


Talks

  • Independent sets in graphs with given minimum degree
    ......Discrete Mathematics Seminar, University of Delaware, March 2013

  • Independent sets in graphs with various degree restrictions
    ......New York Combinatorics Seminar, CUNY Graduate Center, April 2012
  • Independent sets in graphs with given minimum degree
    ......Graduate Student Combinatorics Conference, University of Illinois, April 2012

  • Independent sets in graphs with given minimum degree
    ......Spring 2012 Section of MAA meeting, Raritan Valley CC, March 2012

  • Enumeration of independent sets in graphs (with Tim Mink)
    ......Department of Mathematical Sciences Seminar, MSU, March 2012



Masters Thesis (Written under the supervision of Professor Jonathan Cutler)

Enumeration of independent sets in graphs

Unpublished work (Written with Dr. Ming-Jun Lai)

Bivariate spline approximations of 2D Viscous Bossinesq Equations

Research Interests

I am particularly interested in extremal graph theory, enumerative combinatorics and probabilistic graph theory, however, I have really enjoyed all areas of discrete mathematics that I've encountered. I also enjoy abstract algebra, number theory, and probability theory very much. I am open to doing research in any of these areas.

 

 

 

   

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