Analytic Number Theory Courses and Certifications

Insights into Mathematics

Multiplicative Functions and Dirichlet Series via Boxes - Math Foundations 242

Explore multiplicative functions and Dirichlet series using the Fundamental Identity of Arithmetic. Discover interesting mathematical identities and their connections to analytic number theory.

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

Michael Penn

In a Ramanujan Letter to Hardy - Mathematical Problem Analysis

Explore mathematical insights from Ramanujan's correspondence with Hardy, uncovering the genius behind one of history's most fascinating mathematical exchanges.

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

Michael Penn

The Nicest Proof of the Infinitude of Primes

Discover an elegant mathematical demonstration proving that prime numbers are infinite, exploring a beautiful and accessible approach to this fundamental theorem in number theory.

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

International Centre for Theoretical Sciences

Ramanujan Lectures - Advanced Topics in Number Theory and Mathematical Physics

Explore advanced mathematical theories through expert lectures on Ramanujan conjectures, macroscopic fluctuation theory, and l-adic cohomology applications.

• YouTube
• 13 hours 16 minutes
• On-Demand
• Free Video

The Large Sieve - Lecture 5

Explore the Large Sieve, a classical number theory technique with deep connections to projection theory in this advanced mathematical lecture.

• 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

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

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

Banach Center

Diophantine Equations and Discrete Harmonic Analysis - Part 3

Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Banach Center

Diophantine Equations and Discrete Harmonic Analysis - Part 4

Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.

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

Banach Center

Diophantine Equations and Discrete Harmonic Analysis - Part 2

Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.

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

Banach Center

Diophantine Equations and Discrete Harmonic Analysis - Part 1

Explore Diophantine equations and discrete harmonic analysis with Ákos Magyar, delving into advanced mathematical concepts and their applications in number theory and analysis.

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

BIMSA

Weyl-Strength Subconvexity for Dirichlet L-Functions

Explore Weyl-strength subconvexity for Dirichlet L-functions, examining the subconvexity problem and progress on obtaining the Weyl exponent via the method of moments.

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