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. "Free products and the algebraic structure of diffeomorphism groups." Joint with Sang-hyun Kim. (Submitted) pdf 30. "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 29. "Two-chains and square roots of Thompson's group F." Joint with Yash Lodha. (Submitted) pdf 28. "Representations of surface groups with finite mapping class group orbits." Joint with Indranil Biwas, Mahan Mj, and Ramanujan Santharoubane. (Submitted) pdf 27. "Irreducibility of quantum representations of mapping class groups with boundary." Joint with Ramanujan Santharoubane. (Submitted) pdf 26. "Chain groups of homeomorphisms of the interval and the circle." Joint with Sang-hyun Kim and Yash Lodha. (Submitted) pdf Shortened version 25. "Rotation spectra and exotic group actions on the circle." Joint with Sang-hyun Kim and Mahan Mj. (Submitted) pdf 24. "Residually finite rationally p groups." Joint with Alexander I. Suciu. (Submitted) pdf 23. "A representation theoretic characterization of simple closed curves on a surface." Joint with Ramanujan Santharoubane. (To appear in Math. Res. Lett.) pdf 22. "Unsmoothable group actions on compact one-manifolds." Joint with Hyungryul Baik and Sang-hyun Kim. (To appear in J. Eur. Math. Soc.) pdf 21. "Quotients of surface groups and homology of finite covers via quantum representations." Joint with Ramanujan Santharoubane. (Invent. Math. 206 (2016), 269-292) pdf 20. "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 19. "Injective maps between flip graphs." Joint with Javier Aramayona and Hugo Parlier. (Ann. Inst. Fourier 65 (2015), no. 5, 2037-2055) pdf 18. "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