Arithmetic applications of automorphic forms – Andrew Wiles

Curves of Genus One – Andrew Wiles

Automorphy: Galois Representations Attached to Automorphic Forms – Richard Taylor

Primes and Equations – Richard Taylor

IWASAWA: Lecture 1- Christopher Skinner

IWASAWA: Lecture 2 – Christopher Skinner

IWASAWA: Lecture 3 – Christopher Skinner

IWASAWA: Lecture 4 – Christopher Skinner

A Converse to a Theorem of Gross-Zaqier-Kolyvagin – Christopher Skinner

Values of L-Functions and Modular Forms – Chris Skinner

Modular forms for noncongruence subgroups: an introduction – Winnie Li slides

Modular forms for noncongruence subgroups: recent progress and open problems – Winnie Li slides

Small and Large Gaps Between the Primes – Terry Tao

Structure and Randomness in the Prime Numbers – Terence Tao

2015 Math Panel with Donaldson, Kontsevich, Lurie, Tao, Taylor, Milner

Bounded gaps between primes 1 – Terence Tao

Bounded gaps between primes 2 – Terence Tao

Bounded gaps between primes 3 – Terence Tao

Congruent number problem and BSD conjecture – Shou-Wu Zhang

What is the Birch and Swinnerton-Dyer Conjecture? – Manjul Bhargava

Elementary Introduction to the Langlands Program (1/4) – Edward Frenkel

Problems in the theory of automorphic forms: 45 years later (1/3) – Robert Langlands

Special values of automorphic L-functions and congruences – A. Raghuram

Modular Forms and Representation Theory – Ken Ono

Progress in Prime Number Theory – Roger Heath-Brown

The abc conjecture – Jeff Vaaler

An introduction to the abc conjecture – Héctor Pastén Vásquez

Distribution of arithmetic functions (1/6) – Emmanuel Kowalski

Mini-course: Introduction to Analytic Number Theory (1/8) – Ram Murty