Branching Random Walks: École d'Été de Probabilités de Saint-Flour XLII – 2012

Lost in Math: How Beauty Leads Physics Astray

Minimal Free Resolutions over Complete Intersections

Divergent Series, Summability and Resurgence I: Monodromy and Resurgence

Math Storm Olympiad Problems

Divergent Series, Summability and Resurgence II: Simple and Multiple Summability

Fundamental Concepts of Abstract Algebra

Divergent Series, Summability and Resurgence III: Resurgent Methods and the First Painlevé Equation

Néron Models and Base Change

Elements of Abstract Algebra

The Callias Index Formula Revisited

Nonlinear Water Waves: Cetraro, Italy 2013

Groups and Symmetry

Estimation and Testing Under Sparsity: École d'Été de Probabilités de Saint-Flour XLV – 2015

Class Groups of Number Fields and Related Topics

Extensions of Positive Definite Functions: Applications and Their Harmonic Analysis

IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs: Cetraro, Italy 2012

Higher Topos Theory

What is the Genus?

Galois Theory: Lectures Delivered at the University of Notre Dame by Emil Artin (Notre Dame Mathematical Lectures,