Analytic Number Theory Courses and Certifications

International Centre for Theoretical Sciences

Moments of L-functions - Lecture 3

Delve into advanced analytic number theory with a focus on L-function moments, circle method applications, and their connections to rational points and prime number theory.

• YouTube
• 1 hour 45 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Relative Trace Formulas for GL - 2 - and Analytic Number Theory

Explore relative trace formulas for GL(2) and their applications in analytic number theory, delving into advanced mathematical concepts and techniques.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

New Avenues for the Circle Method - Lecture I

Explore adelic delta-method and nonabelian analogues in analytic number theory. Discover Poisson summation formulae for special varieties to generalize Fourier theory techniques.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Terence Tao - Pseudorandomness of the Liouville Function

Explore the Liouville pseudorandomness principle and its related conjectures, examining recent progress in understanding the statistical behavior of the Liouville function in number theory.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

BIMSA

Large Values of Zeta and Dirichlet L-Functions - ICBS 2024

Explore large values of Riemann zeta and Dirichlet L-functions on the critical line, uncovering key insights in analytic number theory.

• YouTube
• 58 minutes
• On-Demand
• Free Video

BIMSA

Asymptotic Orthogonality Relation for GL(n,R) - ICBS 2024

Explore generalized Dirichlet character orthogonality for GL(n,R), extending classical number theory to higher dimensions with applications.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Fields Institute

Analytic Number Theory and Automorphic Forms

Explore advanced concepts in analytic number theory and automorphic forms with insights from a renowned expert in the field.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Banach Center

Analytic Methods in Arithmetic

Explore advanced analytic techniques in arithmetic, focusing on their applications and theoretical foundations in number theory.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Subconvexity of L-functions - Part 2

Explore advanced concepts in subconvexity of L-functions through an in-depth mathematical lecture by Philippe Michel, expanding on previous discussions.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Second Moment of the GL_3 Standard L-function on the Critical Line

Explore advanced number theory concepts, focusing on GL_3 L-functions, moments of the Riemann zeta function, and applications to the Rankin-Selberg problem.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Kyoto-U OCW - Unofficial

Riemann Hypothesis and the DeBruijn-Newman Constant

Delve into advanced mathematical concepts exploring the Riemann Hypothesis and DeBruijn-Newman constant through expert analysis of their properties, relationships, and significance in number theory.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

ICTP Mathematics

On the Riemann Zeta-Function, Fourier Optimization and Quadratic Forms

Explore the Riemann zeta-function, Fourier analysis, and quadratic forms in number theory. Delve into Selberg's theorem, Berry's conjecture, and representation of integers by quadratic forms.

• YouTube
• 49 minutes
• On-Demand
• Free Video

ICTP Mathematics

Basic Notions Seminar on Fourier Optimization and Number Theory

Explore the intersection of harmonic analysis and analytic number theory, including problems related to the Riemann hypothesis, in this advanced mathematics seminar.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Fields Institute

Primes, Postdocs and Pretentiousness - 2021 CRM-Fields-PIMS Prize Lecture

Explore prime numbers, academic careers, and mathematical concepts in this engaging lecture by renowned mathematician Andrew Granville, offering insights into number theory and research.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Fields Institute

Akshay Venkatesh: The Great Connector - Fields Medal Symposium 2022

Explore Akshay Venkatesh's groundbreaking work connecting diverse mathematical fields and his insights on the evolving nature of mathematical research in the digital age.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video