My research interests are in graph theory. Most recently, I have enjoyed working in topological graph theory studying embeddability questions. In the past I have worked with structural graph invariants. I also find connections between graph theory and other areas of mathematics, such as matroid theory and Riemannian geometry, fascinating.
Publications and Preprints
My recent preprints "Toroidal embeddings of cubic projective plane obstructions" and "Cubic torus obstructions of small Betti number" are available on arXiv. These are part of my doctoral dissertation, which can be found here.
For my master's thesis at Universität Ulm, I studied the distance-unbalancedness index of graphs, which is a structural graph invariant. My advisor was Dieter Rautenbach. We published two papers on this subject.
(with D. Rautenbach) Minimum distance-unbalancedness of trees. Journal of Mathematical Chemistry (2021), 59:942-950
(with D. Rautenbach) Maximally distance-unbalanced trees. Journal of Mathematical Chemistry (2021), 59:2261-2269
Selected Talks (see my CV for a complete list of talks)
AMS Contributed Paper Session on Combinatorics, Graph Theory, Order, and General Algebraic Systems, JMM 2025 (01/2025)
New York Combinatorics Seminar (11/2024, invited, recording of this talk)
AMS Special Session on Recent Developments in Graph Theory, AMS 2024 Fall Eastern Sectional Meeting (10/2024, invited)
Contributed Presentation Graphs and Geometry, SIAM Conference on Discrete Mathematics (07/2024)
AMS Special Session on Metric Geometry and Topology, JMM 2024 (01/2024, invited)
Binghamton University Graduate Combinatorics, Algebra, and Topology Conference (11/2023)
Other Work
In May 2024, I attended the Graduate Research Workshop in Combinatorics (GRWC) hosted by the University of Wisconsin - Milwaukee. During the workshop, I started a collaboration with Marge Bayer (University of Kansas), Rick Danner (University of Vermont), Thiago Holleben (Dalhouise University), and Yirong Yang (University of Washington). We are working on questions involving ternary Gorenstein graphs and their independence complexes. Preprint coming soon.