Analytic Number Theory Courses and Certifications

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

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

Hausdorff Center for Mathematics

Jonathan Hickman- On Littlewood-Paley Theory for Space Curves

Explore Littlewood-Paley inequalities for functions with Fourier transforms near submanifolds, focusing on space curves and applications in harmonic analysis, PDE, and number theory.

• YouTube
• 45 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

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

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

TheIACR

Recovering Short Generators of Principal Ideals in Cyclotomic Rings

Explore principal ideals in cyclotomic rings, focusing on short generator recovery techniques and their cryptographic implications. Gain insights from Oded Regev's expert analysis.

• YouTube
• 24 minutes
• On-Demand
• Conference Talk

International Centre for Theoretical Sciences

On the Hasse Principle for Reductive Algebraic Groups Over Finitely Generated

Explore the Hasse Principle for reductive algebraic groups over finitely generated fields, delving into advanced number theory and algebraic geometry concepts.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Central Extensions of Arithmetic Lattices by Matthew Stover

Explore central extensions of arithmetic lattices, focusing on techniques from algebraic and analytic number theory. Gain insights into applications in geometry, topology, and mathematical physics.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Conjugacy Width in Higher Rank Arithmetic Groups of Orthogonal Type by Chen Meiri

Explore conjugacy width in higher rank arithmetic groups of orthogonal type, examining its properties and implications for group theory and related mathematical fields.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 2

Explore advanced topics in linear groups and Diophantine approximation, focusing on bounded generation and its applications in number theory and geometric analysis.

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

International Centre for Theoretical Sciences

Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 3

Explore advanced concepts in linear groups and Diophantine approximation, focusing on bounded generation techniques and their applications in number theory and geometric analysis.

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

Centre International de Rencontres Mathématiques

Subconvexity of L-functions - Part 3

Explore advanced concepts in subconvexity of L-functions with mathematician Paul Nelson in this in-depth conference talk from the "Building bridges 6th EU/US" meeting.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Video