If you are not a mathematician, but are curious what I am working on, I invite you to watch this short (3 minutes) movie in which I introduce myself and my PhD thesis to a broad audience.

*Types for tame p-adic groups.*Coming soon.*Tame tori in p-adic groups and good semisimple elements.*Preprint, submitted.*On Kostant Sections and Topological Nilpotence.*With Jeffrey D. Adler and Sandeep Varma. Journal of the London Mathematical Society 97 no. 2 (2018), pp. 325-351.*On the Moy-Prasad filtration.*Preprint, submitted,

based on my PhD thesis*On the Moy-Prasad filtration and stable vectors*(available in original formatting and my own formatting).*Differential operators and families of automorphic forms on unitary groups of arbitrary signature.*With Ellen Eischen, Elena Mantovan and Ila Varma. Documenta Mathematica 23 (2018), pp. 445-495.*Stable vectors in Moy-Prasad filtrations.*With Beth Romano. Compositio Mathematica, Vol. 153, Issue 2 (2017), pp. 358-372.*p-adic q-expansion principles on unitary Shimura varieties.*With Ana Caraiani, Ellen Eischen, Elena Mantovan and Ila Varma. Directions in Number Theory (2016), Springer, pp. 197-244.*Reflection subgroups of odd-angled Coxeter groups.*With Anna Felikson and Pavel Tumarkin. J. Combin. Theory A 126 (2014), pp. 92-127.*Cyclotomic polynomial coefficients a(n,k) with n and k in prescribed residue classes.*Journal of Number Theory 131 (2011), pp. 1852-1863.

*Stable vectors in the Moy-Prasad filtration.*Poster about my research for a general math audience presented at the AWM Research Symposium 2015 at the University of Maryland, College Park.

*Representations of p-adic groups (Research talk).*Talk during the Workshop on Representation Theory and Analysis on Locally Symmetric Spaces, Princeton, USA, March 2018.*Representations of p-adic groups (IAS Members' Seminar).*A one hour talk about my research for a general math audience, Princeton, USA, February 2018.*Representations of p-adic groups (Short talk).*A short (15 minutes) talk about my research for a general math audience, Princeton, USA, September 2017.*Kostant Sections and Topological Nilpotence.*Talk during the conference on representation theory of p-adic groups in Pune, India, July 2017.

** Address: **

Trinity College

Cambridge

CB2 1TQ

UK

** Email: **

lastname@umich.edu

© 2015 Jessica Fintzen

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