Number Theory Courses and Certifications

Michael Penn

The Equation That Astounded Hardy

Discover the mathematical equation that left renowned mathematician G.H. Hardy astounded and explore its fascinating properties and implications.

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

NPTEL;  IIT Kharagpur

Cryptography and Network Security

16 ratings

Explore modern cryptography, network security, and cryptanalysis techniques. Learn about symmetric and asymmetric encryption, hash functions, and secure communication protocols.

• YouTube
• 1 day 12 hours
• Self-Paced
• Free Video

Cryptography

7 ratings

Explore the foundations of modern cryptography, focusing on practical applications and covering topics from classical methods to digital signatures and public-key encryption.

• Coursera
• 17 hours 54 minutes
• Self-Paced
• Paid Course

Insights into Mathematics

Historical Development of Group Theory - From Number Theory to Geometry

Explore the historical development of group theory, from its roots in number theory and algebra to its impact on geometry, covering key concepts and influential mathematicians.

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

Instituto de Matemática Pura e Aplicada

Multi-tilings and the Geometry of Numbers Using the Siegel-Bombieri Approach

1 rating

Delve into advanced mathematical concepts of multi-tilings and number geometry through the Siegel-Bombieri approach, exploring theoretical frameworks and applications in modern number theory.

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

1 + 1 = 2 - The Foundation of Mathematical Counting and Number Systems

Explore the fascinating history of numbers, from ancient counting systems to the mathematical proof that 1+1=2, covering rational, irrational, and real numbers.

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

Sum-Product Theory - Lecture 10

Explore sum-product theory and additive number theory tools in this advanced mathematics lecture from MIT's Projection Theory course.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

Institute for Advanced Study

On Triple Product L-Functions

Explore advanced techniques for proving analytic properties of triple product L-functions through generalized Poisson summation and the innovative fiber bundle method.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Harvard CMSA

About the Birch and Swinnerton-Dyer Conjecture

Explore the Birch and Swinnerton-Dyer Conjecture connecting elliptic curves' global invariants with local arithmetic properties through computational insights and mathematical development.

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

Institute for Advanced Study

Modularity of Special Cycles II

Explore advanced mathematical concepts in special cycles and their modular properties through expert analysis and theoretical frameworks in this specialized research seminar.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Geometric Sen Theory, Locally Analytic Representations and the Completed Cohomology of Shimura Varieties - Lecture 1

Discover advanced methods for analyzing locally analytic vectors in completed cohomology of Shimura varieties through geometric Sen theory and cutting-edge mathematical techniques.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

On Indefinite Integral Ternary Quadratic Forms

Explore advanced solutions to two key problems on indefinite integral ternary quadratic forms, including Markoff spectrum distribution and isotropic form growth patterns.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

A Tale of Two Symmetries

Explore the mathematical journey from Ramanujan's 1916 work to Serre's modularity conjecture and its 2009 resolution, revealing the interplay between Galois and Ramanujan symmetries.

• YouTube
• 1 hour 40 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Frobenius Lifting and a Geometric Theory of Companion Forms

Explore Frobenius lifting obstructions on Shimura varieties and their applications to companion forms theory in classical modular forms and higher dimensions.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video