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.

More recently I have given a one hour public talk in German for non-mathematicians which provides an introduction to my research. A recording can be found
here
(unfortunately the video itself is rather small).

*Supercuspidal representations: construction, classification, and characters.**Representations of p-adic groups.*To appear in Current Developments in Mathematics.*Supercuspidal representations in non-defining characteristics.*To appear in Journal of Algebra, Special Volume in the Memory of Jacques Tits.*A twisted Yu construction, Harish-Chandra characters, and endoscopy.*With Tasho Kaletha and Loren Spice. Duke Mathematical Journal 172 (2023), pp. 2241-2301

*Congruences of algebraic automorphic forms and supercuspidal representations.*With Sug Woo Shin. Cambridge Journal of Mathematics (CJM) 9 (2021), no. 2, pp. 351-429.*On the construction of tame supercuspidal representations.*Compositio Mathematica 157 (2021), no. 12, pp. 2733–2746.*Tame cuspidal representations in non-defining characteristics.*Michigan Mathematical Journal, Special Volume in Honor of Gopal Prasad, vol. 72 (2022), pp. 331–342.*Types for tame p-adic groups.*Annals of Mathematics 193 no. 1 (2021), pp. 303-346.*Tame tori in p-adic groups and good semisimple elements.*International Mathematics Research Notices (IMRN) 2021, no. 19, pp. 14882–14904.*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.*Journal of the European Mathematical Society (JEMS) 23 (2021), no. 12, pp. 4009–4063. (This paper is based on my PhD thesis*On the Moy-Prasad filtration and stable vectors*, which is available in original formatting and my own formatting. However, I strongly recommend to read the above preprint. It is the most recent version and also contains indices.)*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.

A copyright form asked me to mention that the published versions of the above articles differ from the versions on this homepage / the arxiv.

*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.

*Cours Peccot International (Topic: Representations of p-adic groups).*Four two-hour lectures at Collège de France (the first lecture is an overview aimed at a general math audience), Paris, January-February 2024.*Representations of p-adic groups and Hecke algebras.*Workshop on p-adic Arithmetic Geometry, Princeton, USA, November 2023.*Von Symmetrien alltäglicher Objekte zu ungelösten Problemen in der reinen Mathematik.*Public talk for non-mathematicians in German, Bonn, Germany, August 2023.*Representations of p-adic groups and applications.*Talk in the Joint IAS / Princeton University Number Theory Seminar, Princeton, USA, October 2020 (online).*Representations of p-adic groups for non-experts.*A short (15 minutes) talk about my research for a general math audience, Princeton, USA, October 2020 (online).*Representations of p-adic groups and applications.*Talk during the Workshop on Serre weights conjectures and geometry of Shimura varieties, Montreal, Canada, September 2020 (online).*From representations of p-adic groups to congruences of automorphic forms.*Talk during the workshop Modularity and Moduli Spaces, Oaxaca, Mexico, October 2019.*Representations of p-adic groups.*Research talk during the Padova school on Serre conjectures and the p-adic Langlands program, Padova, Italy, May 2019.*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: **

Universität Bonn

Mathematisches Institut

Prof. Dr. Jessica Fintzen

Endenicher Allee 60

53115 Bonn

Germany

** Email: **

lastname@math.uni-bonn.de

© 2015 Jessica Fintzen

Original template design by Andreas Viklund