Assistant Professor

Bryn Mawr College

My research focuses on p-adic automorphic forms and Galois representations. Below I list the written products of my research. If you are interested in viewing recorded talks I have given, you can find some at the bottom of this page.

Preprints are listed chronologically by their first appearance, newest at top, regardless of revisions. All links provided point to the arXiv.

All linked titles refer to arXiv versions. Journal links, by digital object identifier (doi), are given in the far right column when available. It happens that some of the journal versions of differ from the final arXiv versions.

To appear in the Journal of the Inst. of Mathematics Jussieu.

To appear in Memoirs of the Amer. Math. Soc.

10.

Joint with Brandon Levin.

To appear in Int. Math. Res. Not.

Selecta Mathematica, 25(4):Art. 59, pp. 24, 2019.

Trans. Amer. Math. Soc., 372(1):357–388, 2019.

J. reine angew. Math., 759:29--60, 2020.

Int. Math. Res. Not., 2019(4):1125-1244, 2019.

C. R. Acad. Sci. Math. Sci. Paris, 355(3):260-262, 2017.

Israel J. Math., 223(1):1-52, 2018.

Compositio Math., 153(1):132-174, 2017.

2.

Joint with Robert Pollack.

Proc. Lon. Math. Soc., 113(3):419-444, 2016.

J. Number Theory, 134(1):226–239, 2014.

Sometimes I have produced things that are not destined to be published. Those appear here, with a brief explanation.

Github repository of slopes code from projects with Pollack.

Code and data from the ghost conjecture project with Pollack.

Ordinary representations and companion points for U(3) in the indecomposable case

Joint with Przemyslaw Chojecki.

Joint with Przemyslaw Chojecki.

Preprint never to be published. Representation theory appeared in "Adjunction" paper. Applications known now, cf. the paper of Breuil and Herzig regarding the "finite slope" part.

Ph.D. thesis. Main arguments streamlined into "Paraboline..." above.

2019

Lecture on the paper "Upper bounds for constant slope families of p-adic modular forms''

At: Princeton/IAS number theory seminar

Courtesy of the Institute for Advanced Study

Direct: link to YouTube.

At: Princeton/IAS number theory seminar

Courtesy of the Institute for Advanced Study

Direct: link to YouTube.

2016

Lecture on the paper "Slopes of modular forms and the ghost conjecture''

At: The p-adic Langlands Program and Related Topics

Courtesy of Matthias Strauch

Direct: link to YouTube.

At: The p-adic Langlands Program and Related Topics

Courtesy of Matthias Strauch

Direct: link to YouTube.