Publications and Preprints:
Odd Ramsey numbers of multipartite graphs and hypergraphs (with Nicholas Crawford, Owen Henderschedt, Coy Schwieder, and Shira Zerbib), submitted.
The saturation spectrum of Berge stars (with Neal Bushaw, Sean English, Dan Johnston, and Puck Rombach), submitted.
On the proper rainbow saturation numbers of cliques, paths, and odd cycles (with Dustin Baker, Enrique Gomez-Leos, Anastasia Halfpap, Ryan R. Martin, Joe Miller, Alex Parker, Hope Pungello, Coy Schwieder, and Nick Veldt), submitted.
Online Ramsey numbers of ordered graphs (with Dylan King, Grace McCourt, Hannah Sheats, and Justin Wisby), submitted.
Generalized Ramsey numbers of cycles, paths, and hypergraphs (with Deepak Bal, Patrick Bennett, and Shira Zerbib), submitted.
The forb-flex method for odd coloring and proper conflict-free coloring of planar graphs (with James Anderson, Herman Chau, Eun-Kyung Cho, Nicholas Crawford, Stephen G. Hartke, Owen Henderschedt, Hyemin Kown, and Zhiyuan Zhang), submitted.
Asymmetric Ramsey properties of randomly perturbed graphs (with Daniel McGinnis), submitted.
Edge-coloring a graph G so that every copy of a graph H has an odd color class (with Patrick Bennett and Shira Zerbib), submitted.
Embedded graph 3-coloring and flows (with Caroline Bang, Zdeněk Dvořák, and Bernard Lidický), submitted.
New bounds on the generalized Ramsey number f(n,5,8) (with Enrique Gomez-Leos, Alex Parker, Coy Schwieder, and Shira Zerbib), Discrete Mathematics, 347(7) (2024) 114012.
The maximum number of odd cycles in a planar graph (with Ryan Martin and Chris Wells), Journal of Graph Theory, 108(4) (2025) 745-780.
Online Ramsey numbers of ordered paths and cycles (with Felix Clemen and Mikhail Lavrov), Electronic Journal of Combinatorics, 31(4) (2024) P4.79.
Lower bounds on the Erdős-Gyárfás problem via color energy graphs (with József Balogh, Sean English, and Robert Krueger), Journal of Graph Theory, 103(2) (2023) 378-409.
New upper bounds for the Erdős-Gyárfás problem on generalized Ramsey numbers (with Alex Cameron), Combinatorics, Probability and Computing, 32 (2023) 349-362.
A strengthening of the Erdős-Szekeres theorem (with József Balogh, Felix Clemen, and Mikhail Lavrov), European Journal of Combinatorics, 101 (2022) 103456.
Generalized rainbow Turán numbers of odd cycles (with József Balogh, Michelle Delcourt, and Lina Li), Discrete Mathematics, 345(2) (2022) 112663.
Hypergraph models of biological networks to identify genes critical to pathogenic viral response (with S. Feng, B. Jefferson, C. Joslyn, H. Kvinge, J. McDermott, . . . , E. Purvine), BMC Bioinformatics, 22 (2021) 1-21.
Ordered size Ramsey number of paths (with József Balogh, Felix Clemen, and Mikhail Lavrov), Discrete Applied Mathematics, 276 (2020) 13-18.
A (5,5)-coloring of the complete graph with few colors (with Alex Cameron), Combinatorics, Probability and Computing, 27(6) (2018) 892-912.
Economical extremal hypergraphs for the Erdős-Selfridge Theorem (with Eric Sundberg), Discrete Mathematics, 339(9) (2016) 2329-2344.
Graduate Research Mentoring:
Thesis students:
Coy Schwieder (PhD student at ISU, co-supervised with Shira Zerbib)
Andrew Simmons (Masters at CPP)
I was a postdoc mentor for two graduate research projects as part of the Graduate Research Workshop in Combinatorics.
Summer 2024: A Multicolor Ramsey Problem
Summer 2023: Online Ordered Ramsey Theory
I led three early-graduate research projects through the NSF Research Training Group on Combinatorics, Computation, and Applications as a postdoc at Iowa State University.
Spring 2024: Rainbow Saturation
Spring 2023: Generalized Ramsey Numbers
Fall 2021: Random Perturbation of Graphs
Undergraduate Research Mentoring:
I served as a graduate student mentor for three undergraduate research projects through the Illinois Geometry Lab at the University of Illinois Urbana-Champaign.
Fall 2020: Mathematics of Change-ringing and the Altgeld Chimes led by Jeremy Tyson
Summer 2020: Saturation Problems for Paths in Hypergraphs led by Sean English
Spring 2020: Majestic Colorings of Graphs led by Sean English