# Arno Kret

I work in arithmetic, and like thinking about algebraic geometry, representation theory and number theory. My CV.

 Address: Korteweg-de Vries Institute Science Park 105 1090 GE Amsterdam (enter at NIKHEF, see below). Office: F3.10 Phone: 020-5256079 email: FirstnameLastname at gmail.

### Papers and preprints

$$H^0$$ of Igusa varieties via automorphic forms (with Sug Woo Shin), pdf.

Galois representations for even general special orthogonal groups (with Sug Woo Shin), pdf.

Integral points on Hilbert moduli schemes (with Rafael von Kanel), pdf.

Galois representations for the general symplectic group (with Sug Woo Shin). Accepted at JEMS, pdf.

Galois generic points on Shimura varieties (with Anna Cadoret), Algebra and Number Theory (journal, pdf).

The trace formula and the existence of PEL type Abelian varieties modulo p, (arxiv).

Equidistribution in supersingular Hecke orbits, Journal für die reine und angewandte Mathematik, (journal, arxiv).

Combinatorics of the basic stratum, Documenta Mathematica, (journal, arxiv).

The basic stratum of some simple Shimura varieties, Mathematische Annalen, (journal, arxiv).

Jacquet modules of ladder representations, Comptes rendus de l'Académie des Sciences, (with Erez Lapid), (journal).

### Teaching

Spring 2021: Master course Topics in Number Theory (in English).

Spring 2021: Undergraduate course Galois theory (in English).

### Other writing

The Langlands program (slides), Faculty Colloquium, 2018.

Andrew Wiles en de Abelprijs (pdf), with Sander Dahmen, Nieuw Archief voor Wiskunde, 2017.

Stratification de Newton des variétés de Shimura et formule des traces d’Arthur-Selberg, PhD thesis, Université Paris-Sud, 2013, theses.fr. See also youtube video lecture.

Caveat emptor: Galois Representations, Master's thesis, Université Paris-Sud, University of Leiden, pdf.

### Need help finding me?

Click here for some instructions to find my office inside the Nikhef building.