35. Horofunctions of infinite Sierpinski polygon graphs, with D.D'Angeli, D.Perego, E.Rodaro, submitted (arXiv)
34. On the subgroup membership problem in bounded automata groups, with A.Bishop, D.D'Angeli, T.Nagnibeda, D.Perego, E.Rodaro, submitted (arXiv)
33. Context-free graphs and their transition groups, with D.D'Angeli, D.Perego, E.Rodaro, submitted (arXiv)
32. Finite Germ Extensions, with J.Belk, J.Hyde, submitted (arXiv)
31. Stabilizers in Higman-Thompson groups, with J.Belk, J.Hyde, preprint (arXiv)
30. Hyperbolic groups satisfy the Boone-Higman conjecture, with J.Belk, C.Bleak, M.C.B. Zaremsky, accepted by Duke Mathematical Journal (arXiv)
29. Progress around the Boone-Higman conjecture, with J.Belk, C.Bleak, M.C.B. Zaremsky, accepted by EMS Surveys in Mathematical Sciences (arXiv and online publication)
28. Boone-Higman Embeddings for Contracting Self-Similar Groups, with J.Belk, accepted by Groups, Geometry and Dynamics (arXiv and online publication)
27. A short proof of Rubin's theorem, with J.Belk, L.Elliott, Israel Journal of Mathematics, 267 (2025), 157--169 (arXiv and journal article)
26. Integrals of groups II, with J.Araújo, C.Casolo, P. Cameron, C.Quadrelli, Israel Journal of Mathematics, 263 (2024), 49--91 (arXiv and journal article)
25. Conjugator length in Thompson's groups, with J.Belk, Bulletin of the London Mathematical Society, 55, no. 2, 2023, 793-810 (arXiv and journal article)
24. On some questions related to integrable groups, with R.Blyth, F.Fumagalli, Annali di Matematica Pura e Applicata, 202 (2023), 1781-1791 (arXiv and journal article)
23. Embedding ℚ into a Finitely Presented Group, with J.Belk, J.Hyde, Bulletin of the American Mathematical Society (N.S.) 59, No. 4, 2022, 561-567 (arXiv and journal article). A discussion of this problem can be found on Mathoverflow.
22. Conjugacy and Centralizers in Groups of Piecewise Projective Homeomorphisms, with A.Santos de Oliveira-Tosti, Groups, Geometry and Dynamics 16, No. 1, 2022, 1-28 (arXiv and journal article)
21. Extensions of automorphisms of self-similar groups, with P. V. Silva, Journal of Group Theory 24(5), 2021, 857-897 (arXiv and journal article)
20. Rational embeddings of hyperbolic groups, with J.Belk, C.Bleak, Journal of Combinatorial Algebra 5(2), 2021, 123-183 (arXiv and journal article)
19. Embedding Right-Angled Artin Groups into Brin-Thompson Groups, with J.Belk, C.Bleak, Mathematical Proceedings of the Cambridge Philosophical Society, 169(2), 2020, 225-229 (arXiv and journal article)
18. Integrals of groups, with J.Araújo, C.Casolo, P. Cameron, Israel Journal of Mathematics, 234(1), 2019, 149-178 (arXiv and journal article)
17. On the asynchronous rational group, with J.Belk, J.Hyde, Groups, Geometry and Dynamics, 13(4), 2019, 1271-1284 (arXiv and journal article)
16. Presentations of generalisations of Thompson's group V, with C.Martinez-Perez, B.Nucinkis, Pacific Journal of Mathematics 296(2), 2018, 371-403 (arXiv and journal article)
15. Intersection growth in groups, with I.Biringer, K.Bou-Rabee, M.Kassabov, Transactions of the American Mathematical Society 369(12), 2017, 8343-8367 (arXiv and journal article)
14. On groups with slow intersection growth, with M.Kassabov, Proceedings of the Edinburgh Mathematical Society 60(2) 2017, 387-390 (arXiv and journal article)
13. Embeddings into Thompson's group V and coCF groups, with C.Bleak, M.Neunhoffer, Journal of the London Mathematical Society (2) 94 (2016), no. 2, 583-597 (arXiv and journal article)
12. The Conjugacy Problem in Extensions of Thompson's group F, with J.Burillo, E.Ventura, Israel Journal of Mathematics 216 (2016), no. 1, 15-59 (arXiv and journal article)
11. Cohomological finiteness conditions and centralisers in generalisations of Thompson's group, with C.Martinez-Perez, B.Nucinkis, Forum Mathematicum 28 (2016), no. 5, 909-921 (arXiv and journal article)
10. Rover's Simple Group is of Type F_∞, with J.Belk, Publicacions Matematiques, 60 (2016), no.2, 501-524 (arXiv and journal article)
9. Conjugacy and Dynamics in Thompson's groups, with J.Belk, Geometriae Dedicata 169, No. 1 (2014) 239-261 (arXiv and journal article)
8. Centralizers in R.Thompson’s group V_n, with C.Bleak, H.Bowman, A.Gordon, G.Graham, J.Hughes, J.Sapir, Groups, Geometry and Dynamics 7, No. 4 (2013), 821-865 (arXiv and journal article)
7. Presentations for the Higher Dimensional Thompson's groups nV, with J.Hennig, Pacific Journal of Mathematics 257, No. 1 (2012) 53--74 (arXiv and journal article)
6. The Simultaneous Conjugacy Problem in Groups of Piecewise Linear Functions, with M.Kassabov, Groups, Geometry and Dynamics 6, No. 2 (2012) 279--315 (arXiv and journal article)
5. Structure Theorems for Subgroups of Homeomorphisms Groups, with C.Bleak, M.Kassabov, International Journal of Algebra and Computation 21, no. 6 (2011), 1007--1036, (arXiv and journal article)
4. Bounding the residual finiteness of free groups, with M.Kassabov, Proceedings of the American Mathematical Society 139 (2011), no. 7, 2281--2286 (arXiv and journal article)
3. Mather invariant in groups of piecewise-linear homeomorphisms, Trends in Mathematics, Combinatorial and Geometric Group Theory (2010) 251--260 (arXiv and book chapter)
2. Finite solvable groups whose Quillen complex is Cohen-Macaulay, Journal of Algebra 322 (2009) 969--982 (arXiv and journal article)
1. Cryptanalysis of the Shpilrain-Ushakov Protocol in Thompson's Group, Journal of Cryptology, 21(3) (2008) 458--468 (arXiv and journal article)
3. The tree completions of an automaton group, with P.V. Silva, Proceedings of the Seventh Workshop on Non-Classical Models of Automata and Applications (NCMA 2015), in the series books@ocg.at 318 (2015), Austrian Computer Society, ISBN 978-3-903035-07-2 (paper, conference website, publisher website and proceedings volume).
2. Implementation of a Solution to the Conjugacy Problem in Thompson’s Group F, with J. Belk, N. Hossain, R. McGrail, ACM Communications in Computer Algebra 47, 3/4 (2014), 120-121 (paper and proceedings website)
1. Deciding Conjugacy in Thompson's Group F in Linear Time, with J. Belk, N. Hossain, R. McGrail, 2013 15th International Symposium on International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 89-96 (paper, slides and proceedings website)
Algorithms and Classification in Groups of Piecewise-Linear Homeomorphisms, PhD Thesis, Cornell University, 2008, Advisors: Ken Brown and Martin Kassabov (arXiv and ProQuest database)