Research

• Asymptotically spherical groups [pdf, arXiv]

— with Christian Rosendal

• The complexity of proper homotopy equivalence of graphs [pdf, arXiv]

— with Hannah Hoganson

• A backward ergodic theorem along trees and its consequences for free group actions [pdf, arXiv] 

— with Anush Tserunyan

— Journal of European Math. Soc. (JEMS), to appear (2024+)

• One-ended spanning trees and definable combinatorics [pdf, arXiv] 

— with Matthew Bowen and Antoine Poulin 

— Transactions of the American Math. Soc. , to appear (2024+)

• A combinatorial proof of the pointwise ergodic theorem for actions of amenable groups along Tempelman Følner sequences [pdf, arXiv]  

— with Jonathan Boretsky

— Bulletin Polish Acad. Sci. Math., published online (2024)

• Colored unlinking [pdf, arXiv] (2019)

— with Natalie DuBois, Chris Eufemia, and Jeff Johannes 

Papers with undergraduates

• Uniform arithmetic in local rings via ultraproducts [pdf, arXiv] (2023)

— with Clay Adams, Francesca Cantor, Anese Gashi, Semir Mujevic, Sejin Park, and Austyn Simpson

• On localization of tight closure in Line-S_4 Quartics [pdf, arXiv] (2022)

— with Levi Borevitz, Naima Nader, Theodore Sandstrom, Amelia Shapiro, and Austyn Simpson

— J. Pure and Appl. Algebra. 228 (2024), no. 9, Paper No. 107682

• Characterization of saturated graphs related to pairs of disjoint matchings [pdf, arXiv] (2020)

— with Zhengda Mo, Sam Qunell, and Anush Tserunyan

— Illinois J. Math. 66(1): 59–77 (2022)

• Pairs of disjoint matchings and related classes of graphs [pdf, arXiv] (2020)

— with Ali Guo, Kieran Kaempen, Zhengda Mo, Sam Qunell, Joe Rogge, Chao Song, and Anush Tserunyan

— Involve, a Journal of Mathematics 16-2 (2023), 249-264

• My understanding of "Mercuriale de groupes et de relations" by Damien Gaboriau [pdf] (2020)