Research

Papers:

Preprints

19.) The Higman-Thompson groups V_n are (2,2,2)-generated, joint with Eduard Schesler and Xiaolei Wu, November 2024, (arxiv)

18.) A New Construction of Subgroups of Big Mapping Class Groups, with Carolyn Abbott, Hannah Hoganson, Marissa Loving, and Priyam Patel, submitted September 2021,  (arxiv)

Published/Accepted

17.) GGS-groups acting on trees of growing degrees, joint with Anitha Thillasundarum, submitted,  May 2024, to appear in Communications in Algebra, (arxiv) 

16.) The maximality of T in Thompson's group V, joint with James Belk, Collin Bleak, and Martyn Quick, September 2024, Accepted to Archiv der Mathematik (arxiv)(published open access version)

15.)  Groups acting on rooted trees, expository article accompanying minicourse at CIRM, to appear in Panoramas & Synthèses  (preprint)

14.) Homological stability for the ribbon Higman-Thompson groups, with Xiaolei Wu, submitted June 2021, to appear in Algebraic and Geometric Topology, (arxiv) 

13.) Thompson's group T is 3/2-generated, joint with Collin Bleak and Scott Harper, to appear in Israel Journal of Mathematics, (arxiv) 

12.) Non-planar ends are continuously unforgettable, joint with Javier Aramayona, Rodrigo De Pool, Jing Tao, Nicholas G. Vlamis, Xiaolei Wu, September 2024, to appear in International Mathematics Research Notices (arxiv)(updated version)(published version)

11.) Type systems and maximal subgroups of Thompson's group  V, joint with James Belk, Collin Bleak, and Martyn Quick, Transactions of the American Mathematical Society Series B, 12 (2025), 417-469 (arxiv) (published open access version)

10.) Block mapping class groups and their finiteness properties, joint with Javier Aramayona, Julio Aroca, María Cumplido, and Xiaolei Wu, Geometriae Dedicata, 219-24 (2025), 1-18 (arxiv) (published open access version)

9.) Braiding groups of automorphisms and almost-automorphisms of trees, with Matthew C. B. Zaremsky, Canadian Journal of Mathematics, 76-02 (2024), 555 - 593  (arxiv) (published open access version )

8.) Finiteness properties for relatives of braided Higman-Thompson groups, with Xiaolei Wu, Groups, Geometry, and Dynamics, 17-04 (2023), 1357–1391 (arxiv) (published version) 

7.) Almost-automorphisms of trees, cloning systems and finiteness properties, with Matthew C. B. Zaremsky,   Journal of Topology and Analysis, 13-01 (2021), 101-146. (arxiv) (published version)

6.) Lamplighter groups, bireversible automata and rational series over finite rings, with Benjamin Steinberg, Groups, Geometry, and Dynamics, 14-2 (2020), 567–589. (arxiv), (published version)

5.)  On the Cantor-Bendixson rank of the Grigorchuk group and the Gupta-Sidki 3 group, with Phillip Wesolek, Journal of Algebra, 555-1 (2020), 386-405. (arxiv), (published version)

4.) The congruence subgroup problem for a family of branch groups,  International Journal of Algebra and Computation, 30-2 (2020), 397-418. (arxiv) (published version)

3.) Commensurability growth of branch groups, with Khalid Bou-Rabee and Daniel Studenmund, Pacific Journal of Mathematics, 304-1 (2020), 43-54. (arxiv) (published version)

2.) Simple groups separated by finiteness properties,  with Stefan Witzel and Matthew C. B. Zaremksy, Inventiones Mathematicae, 215 (2019), no.2, 713-740. (arxiv) (not downloadable but open access published version) (downloadable but not open access published version)

1.) A constructive proof that the Hanoi towers group has non-trivial rigid kernel, Topology Proceedings, 53 (2019), 1-14. (arxiv) (published version)