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!
I also have a number of projects involving building software for mathematics, mostly around the GAP computer algebra system and Gap.app.
PhD advisees
- Andrés Santamaría Galvis, Fall 2017 – Fall 2022, On partitionability and shellability of relative simplicial complexes. (Slovene title Razdeljivost in olupljivost relativnih simplicialnih kompleksov). MGP.
Constituent papers that have arXiv preprints: arXiv:1906.01651 / arXiv:2109.01154.
Master's projects and theses
- Lee Hathcock, Summer 2016 – 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
- Dorotea Redžepi, Fall 2022 – Spring 2023, Continuous lattices of partitions.
- Todor Antić, Spring 2022, Cross-polytopal Alexander duality.
Files: paper.
- Besfort Shala, Fall 2020 – Spring 2021, The probabilistic zeta function of a finite lattice.
(University of Primorska bachelor's thesis — received Srečko Kosovel award from UP)
Files: thesis paper / arXiv:2112.13766.
- Eva Silađi (Éva Szilágyi), Fall 2020 – Spring 2021, Partitionability of simplicial complexes.
(University of Primorska bachelor's thesis)
Files: thesis paper / GAP transcript with facets of Poincaré sphere.
- Bailey Swinford, Fall 2015, Divisibility of binomial coefficients at p=2.
Files: paper.
- Ethan Brockmann, Fall 2015, Independence polynomials of claw-free graphs and trees.
- Joshua Dean, Spring 2014, Homology using linear algebra.
Files: paper.
- Jonathan “Yoni” Marshall, Spring 2011, Ramsey theory: from finite to infinite.
(Washington University in St. Louis honors thesis)
Files: paper.