Analytic Number Theory Courses and Certifications

International Centre for Theoretical Sciences

Exponential Sums - Lecture 2

Delve into advanced number theory concepts through an exploration of exponential sums, circle method applications, and their role in analyzing rational points on varieties and prime number theory.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Applications of Delta Method in Number Theory - Lecture 1

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 20 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Classical Circle Method - Lecture 3

Delve into advanced number theory concepts through the Classical Circle Method, exploring its applications in analytic theory and rational point counting on varieties.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Large Values of Dirichlet Polynomials and the Zeta Function

Explore the critical relationship between large values of Dirichlet polynomials and the zeta function, examining key analytical number theory problems and their limiting scenarios in harmonic analysis.

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

USC Probability and Statistics Seminar

Maximum of Poissonian Log-correlated Fields

Explore extreme values of logarithmically correlated fields with Poissonian tails, revealing sub-leading order behavior distinct from Gaussian fields through branching random walks.

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

Institut des Hautes Etudes Scientifiques (IHES)

A Split Version of the Mixing Conjecture and Applications

Explore the split version of the mixing conjecture and its proof, covering CM-points equidistribution, Hecke points distribution, and applications to algebraic L-values.

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

Hausdorff Center for Mathematics

Harmonic Analysis and Analytic Number Theory

1 review

Explore advanced polynomial methods, determinant techniques, and Fourier analysis in harmonic analysis and analytic number theory through expert lectures.

• YouTube
• 23 hours 52 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Branching Processes in Random Matrix Theory and Analytic Number Theory

Explore branching processes in random matrix theory and analytic number theory, focusing on limiting distributions, log-correlated phenomena, and recent conjectures about maxima of characteristic polynomials and L-functions.

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

Projection Theory

Explore how sets behave under orthogonal projections, connecting harmonic analysis, number theory, additive combinatorics, and dynamics through fundamental methods and recent developments.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

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

Dr Trefor Bazett

Euler Product Formula - A Beautiful Equation in Number Theory

Discover the beauty of the Euler Product Formula, connecting sums over natural numbers to products over primes. Explore its proof, applications, and links to the Riemann Hypothesis.

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

Institut Henri Poincaré

Reinventing Rational Points

Explore advanced techniques in arithmetic geometry, from Brauer-Manin obstructions to counting rational points on algebraic varieties through analytic and geometric methods.

• YouTube
• 2 days 3 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

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

Centre de recherches mathématiques - CRM

The Magic of the Primes

Explore the fascinating world of prime numbers, their importance in mathematics and real-world applications, and recent progress on ancient mathematical questions.

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