Assistant Professor of Mathematics E-mail: firstname dot lastname at gmail dot com

Office: Kerchof 304

Mailing Address:

Department of Mathematics

University of Virginia

P. O. Box 400137

Charlottesville, VA 22904-4137 USA

Here are my research papers, in the order that they were written. In an effort to spam the arXiv as little as possible, the pdf versions on the UVa server (when available) are more up-to-date than the arXiv versions.

31. "What is... an acylindrical group action?" (To appear in Not. Amer. Math. Soc.) pdf 30. "Free products and the algebraic structure of diffeomorphism groups." Joint with Sang-hyun Kim. (Submitted) pdf 29. "Actions of right-angled Artin groups in low dimensions." (Handbook of Group Actions (ed. L. Ji, A. Papadopoulos and S.-T. Yau), International Press and Higher Education Press, to appear) pdf 28. "Two-chains and square roots of Thompson's group F." Joint with Yash Lodha. (Submitted) pdf 27. "Representations of surface groups with finite mapping class group orbits." Joint with Indranil Biwas, Mahan Mj, and Ramanujan Santharoubane. (Submitted) pdf 26. "Irreducibility of quantum representations of mapping class groups with boundary." Joint with Ramanujan Santharoubane. (Submitted) pdf 25. "Chain groups of homeomorphisms of the interval and the circle." Joint with Sang-hyun Kim and Yash Lodha. (Submitted) pdf Shortened version 24. "Flexibility of group actions on the circle." Joint with Sang-hyun Kim and Mahan Mj. (Submitted) pdf 23. "Residually finite rationally p groups." Joint with Alexander I. Suciu. (Submitted) pdf 22. "A representation theoretic characterization of simple closed curves on a surface." Joint with Ramanujan Santharoubane. (To appear in Math. Res. Lett.) pdf 21. "Unsmoothable group actions on compact one-manifolds." Joint with Hyungryul Baik and Sang-hyun Kim. (To appear in J. Eur. Math. Soc.) pdf 20. "Quotients of surface groups and homology of finite covers via quantum representations." Joint with Ramanujan Santharoubane. (Invent. Math. 206 (2016), 269-292) pdf 19. "The geometry of purely loxodromic subgroups of right-angled Artin groups." Joint with Johanna Mangahas and Samuel J. Taylor. (To appear in Trans. Amer. Math. Soc.) pdf 18. "Injective maps between flip graphs." Joint with Javier Aramayona and Hugo Parlier. (Ann. Inst. Fourier 65 (2015), no. 5, 2037-2055) pdf 17. "Right-angled Artin subgroups of the C3. "Asymptotic linearity of the mapping class group and a homological version of the Nielsen-Thurston classification." (Geom. Dedicata 156 (2012), 13-30) Geometriae Dedicata link

2. "On ergodic transformations that are both weakly mixing and uniformly rigid." Joint with J. James, K. Lindsey, C.E. Silva and P. Speh. (New York Journal of Mathematics 15 (2009) 393-403) NYJM link

1. "Measurable Sensitivity." Joint with J. James, K. Lindsey, C.E. Silva and P. Speh. (Proceedings of the American Mathematical Society 136 (2008) 3549-3559) Proceedings link