Analytic Number Theory Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Arithmetic Algebraic Geometry in Memory of Jan Nekovář

Explore cutting-edge advances in arithmetic algebraic geometry through expert lectures honoring mathematician Jan Nekovář's contributions to the field.

• YouTube
• 22 hours 11 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Franco-Asian Summer School on Arithmetic Geometry

Delve into advanced arithmetic geometry through expert lectures on p-adic cohomology, Galois representations, and Simpson correspondence from leading mathematicians.

• YouTube
• 23 hours 46 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

Institut Henri Poincaré

Random Walks and Asymptotic Geometry of Groups

Explore advanced mathematical concepts connecting random walks with asymptotic geometry of groups through expert lectures from leading researchers in the field.

• YouTube
• 16 hours 47 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Algebraic Geometry Seminar - Drinfeld's Lemma, Moduli Spaces, Hodge Theory, and Geometric Langlands

Explore advanced algebraic geometry through expert lectures on Drinfeld's lemma, moduli spaces, Hodge theory, Chow motives, and the Geometric Langlands Conjecture.

• YouTube
• 5 hours 1 minute
• Self-Paced
• Free Video

Fields Institute

Fields Number Theory Seminar

Explore advanced number theory through expert seminars covering Galois theory, elliptic curves, L-functions, Shimura varieties, and arithmetic geometry from leading researchers.

• YouTube
• 3 days 11 hours 48 minutes
• Self-Paced
• Free Video

Fields Institute

Automorphic Forms and Representation Theory - An Introduction to the Langlands Program

Dive into automorphic forms and representation theory through the groundbreaking Langlands Program, exploring deep connections between number theory and harmonic analysis.

• YouTube
• 1 day 6 hours 51 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Ergodic Theory and Dynamical Systems 2022

Explore advanced topics in ergodic theory and dynamical systems through expert lectures on Diophantine approximation, homogeneous dynamics, and measure theory applications.

• YouTube
• 1 day 16 hours 22 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Elliptic Curves and the Special Values of L-Functions (2022)

Explore advanced mathematical theories connecting elliptic curves, L-functions, and arithmetic geometry through expert lectures on Iwasawa theory, Selmer groups, and special values.

• YouTube
• 2 days 4 hours 3 minutes
• Self-Paced
• Free Video

Harvard CMSA

Arithmetic Quantum Field Theory Conference

Explore cutting-edge connections between number theory, quantum field theory, and geometry through expert talks on Langlands correspondence, L-functions, and mathematical physics.

• YouTube
• 21 hours 48 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Harmonic Analysis and Partial Differential Equations - Trimester Program Lectures

Explore advanced harmonic analysis and PDEs through expert lectures from leading mathematicians covering prime gaps, dispersive equations, and cutting-edge research developments.

• YouTube
• 1 day 15 hours 51 minutes
• Self-Paced
• Free Video

Physics Explained

The Math Problem That Defeated Everyone - Until Euler

Discover how Euler solved the legendary Basel Problem that stumped mathematicians for decades, revealing deep connections between infinite series, π, and number theory.

• YouTube
• 38 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

Insights into Mathematics

Infinite Series in 17th and 18th Century Mathematics

Explore the historical development of infinite series, from geometric series to complex exponentials, with insights into key mathematicians and groundbreaking formulas of the 17th and 18th centuries.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Simons Foundation

Randomness in Number Theory

Explore the fascinating dichotomy between structure and randomness in number theory through revealing examples and unexpected models that highlight central challenges in the field.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video