Analytic Number Theory Courses and Certifications

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

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

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

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

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

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

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

Hausdorff Center for Mathematics

Conductor Dropping and Subconvexity

Explore advanced techniques in analytic number theory focusing on conductor dropping methods and their applications to subconvexity problems in L-functions.

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

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

Instituto de Matemática Pura e Aplicada

Analytical Properties of Automorphic L-Series via its Integral Kernel

Delve into advanced mathematical concepts exploring analytical properties of automorphic L-series through integral kernel analysis, presented by Fernando Andrés Herrera Contreras at IMPA's Number Theory Workshop.

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

International Centre for Theoretical Sciences

Moments of L-functions - Lecture 4

Delve into advanced mathematical concepts of L-functions and their moments, exploring circle method applications in analytic number theory and related theoretical frameworks.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Applications of Delta Method in Number Theory - Lecture 2

Delve into advanced number theory concepts through the Delta Method, exploring its applications in analytic theory and circle method techniques for solving complex mathematical problems.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Subconvexity for Rankin-Selberg L-functions in Prime Power Level

Delve into advanced number theory concepts focusing on Rankin-Selberg L-functions and their subconvexity bounds in prime power level, exploring circle method applications in analytic theory.

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

International Centre for Theoretical Sciences

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

Delve into advanced number theory concepts focusing on GL_3 Standard L-function's second moment analysis on the critical line through rigorous mathematical exploration.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Subconvexity for L-functions of Hilbert Modular Forms via Delta Method

Delve into advanced number theory concepts focusing on L-functions of Hilbert modular forms and their subconvexity bounds through the Delta Method approach in analytic number theory.

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