Rahul Pandharipande, Cycles on the moduli space of abelian varieties

Philippe Michel, The work of Paul Nelson

Chandrashekhar Khare, The work of James Newton and Jack Thorne

Mark Andrea de Cataldo, The P=W Conjecture in Non Abelian Hodge Theory

Ana Caraiani, The cohomology of Shimura varieties - a survey of recent developments

Barry Mazur, Abelian Varieties Lecture 2

Barry Mazur, Abelian Varieties Lecture 1

Valentin Blomer, Density theorems and applications

Isabelle Gallagher, The work of Frank Merle, Pierre Raphaël, Igor Rodnianski, and Jérémie Szeftel

John Pardon, Derived moduli spaces of pseudo-holomorphic curves

Laure Saint Raymond, What does entropy measure?

Ivan Smith, The work of John Pardon

Chanyang Xu, Kähler-Einstein metric, K-stability and moduli spaces

Igor Rodnianski, (some) Things you always wanted to know about Mathematical General Relativity

Ulrike Tillmann, The work of Søren Galatius and Oscar Randal-Williams

Peter Scholze, The work of Bhargav Bhatt

Bhargav Bhatt, Vanishing theorems in algebraic geometry

Jacob Tsimerman, The André--Grothendieck period conjecture over function fields

Kevin Costello, Scattering amplitudes and vertex algebras

PROMYS Europe, Summer 2016

Timothy Gowers, The importance of mathematics

Assaf Naor, Probabilistic reasoning in quantitative geometry

Scott Sheffield, Quantum gravity and the Schramm-Loewner evolution

Claire Voisin, Hodge structures, cohomology algebras and the Kodaira problem

Rahul Pandharipande, Curve counting via stable pairs in the derived category

Tom Mrowka, Monopoles, closed Reeb orbits and spectral flow

Helmut Hofer, A generalized Fredholm theory ad some new ideas in nonlinear analysis and geometry

János Kollár, Local integrability of holomorphic functions

Kevin Costello, A Wilsonian point of view on renormalization of quantum field theories

Kannan Soundararajan, Quantum unique ergodicity and number theory