Advising

If you're a student who is interested in working with me as a research advisee, please drop me an email and we can meet to discuss. As explained at length on my research interests page, I'm interested in combinatorics, with strong relations to group theory and topology, and with applications to certain problems in commutative algebra.

Don't worry if you don't know all the words on the research interests page, although it's helpful if you know some of them!

The projects I have mostly involve either proving things, or computing things. (So it's better if you either have a good understanding of what a mathematical proof is, or else a good programming background.)

PhD advisees

  • AndrĂ©s SantamarĂ­a Galvis, Fall 2017 –

Master's projects and theses

  • Lee Hathcock, Summer 2017 – Summer 2017, Relaxations of the weakly chordal condition in graphs.

    (Mississippi State University master's project)

  • Bonnie Sessions, Spring 2013, EL-labelings of colored graph posets and exponential structures.

    (Mississippi State University master's project)

Undergraduate research projects

  • Bailey Swinford, Fall 2015, Divisibility of binomial coefficients at p=2.

    Paper available here.

  • Ethan Brockmann, Fall 2015, Independence polynomials of claw-free graphs and trees.

    Paper available here. Sage code here.

  • Joshua Dean, Spring 2014, Homology using linear algebra.

    Paper available here.

  • Jonathan “Yoni” Marshall, Spring 2011, Ramsey theory: from finite to infinite.

    (Washington University in St. Louis honors thesis)

    Paper available here.