## About

I'm a Member at the Institute for Advanced Study. Before that, I was an NSF Postdoctoral Fellow in the UCLA math department. I received my PhD from the University of Chicago, where my advisor was Kazuya Kato.

Here is my CV.

Office: Fuld 318

pwake at ias dot edu

School of Mathematics, IAS

Princeton NJ 08540

I'm a Member at the Institute for Advanced Study. Before that, I was an NSF Postdoctoral Fellow in the UCLA math department. I received my PhD from the University of Chicago, where my advisor was Kazuya Kato.

Here is my CV.

This year I'm co-organizing the IAS-Princeton working seminar in algebraic number theory. The topic is Sharifi's conjecture and mu-type subgroups.

I am interested in algebraic number theory and arithmetic geometry.

The Eisenstein ideal with squarefree level.

Joint with Carl Wang-Erickson.

Preprint (2018).

The rank of Mazur's Eisenstein ideal.

Joint with Carl Wang-Erickson.

Preprint (2017).

Video lecture from an IAS workshop.

Deformation conditions for pseudorepresentations.

Joint with Carl Wang-Erickson.

Preprint (2017).

Primitive elements in p-divisible groups.

Joint with Robert Kottwitz.

*Research in Number Theory* (2017). Journal version.

Ordinary pseudorepresentations and modular forms.

Joint with Carl Wang-Erickson.

*Proceedings of the American Mathematical Society* (2017). Journal version.

Video lecture from a workshop at BIRS in Banff, Alberta.

Full level structures revisited: pairs of roots of unity.

*Journal of Number Theory* (2016). Journal version.

Pseudo-modularity and Iwasawa theory.

Joint with Carl Wang-Erickson.

*American Journal of Mathematics* (2018). Journal version.

Eisenstein Hecke algebras and conjectures in Iwasawa theory.

*Algebra and Number Theory* (2015). Journal version.

Hecke algebras associated to Λ-adic modular forms.

*Journal für die Reine und Angewandte Mathematik (Crelle's Journal)* (2015). Journal version.

None this year.