Congruence Courses and Certifications

Michael Penn

Ramanujan's Famous Mod 5 Congruence - Number Theory

Explore Ramanujan's famous (mod 5) congruence in number theory, delving into its mathematical significance and applications. Gain insights into this intriguing concept through clear explanations and examples.

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

Michael Penn

Some Important Facts About Congruence Modulo N

Explore key properties of congruence modulo n, a fundamental equivalence relation in number theory. Learn arithmetic properties and computational techniques for this important concept.

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

Centre International de Rencontres Mathématiques

Coinvariants, Assembler K-Theory, and Scissors Congruence

Explore coinvariants, assembler K-theory, and scissors congruence in mathematics. Gain insights into advanced algebraic concepts and their geometric applications.

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

Fields Institute

Eisenstein Series and the Cohomology of Congruence Groups

Explore the interplay between Eisenstein series and congruence group cohomology in this advanced mathematical lecture by Joachim Schwermer, delving into representation theory, geometry, and arithmetic.

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

Hausdorff Center for Mathematics

A Farrell-Jones Isomorphism for Scissors Congruence K-Theory

Explore a new trace map in scissors congruence K-theory, its refinement, and its role in proving the Farrell-Jones isomorphism. Joint work with Mona Merling and Inna Zakharevich.

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

Fields Institute

Lattices in Semisimple Lie Groups: The Congruence Subgroup Problem and Boundedness Properties

Explore lattices in semisimple Lie groups, focusing on the congruence subgroup problem and boundedness properties in this advanced mathematics seminar by Alex Lubotzky.

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

Hausdorff Center for Mathematics

Srikanth Iyengar: Congruence Modules in Higher Codimensions

Explores advanced algebraic concepts, extending Wiles' and Diamond's work on congruence modules to higher dimensions, with applications to Hecke algebras and Shimura curves.

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

Ember Learning Labs

Geometry: AAS and ASA Congruence Theorems - October 24, 2024

Master the principles of AAS and ASA triangle congruence theorems through step-by-step explanations and practical geometric applications in this focused mathematical exploration.

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

Ember Learning Labs

Geometry: Understanding SSS and SAS Congruence - October 22, 2024

Master the principles of SSS and SAS congruence theorems to solve geometric proofs and understand triangle relationships in practical applications.

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

BIMSA

Mining for Modular Data from Congruence Representations

Explore how modular data can be reconstructed from SL(2,Z) congruence representations in modular fusion categories, with applications in mathematics and physics.

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

Fields Institute

Higher Scissors Congruence and K-Theory of Covers

Explore higher scissors congruence and its connections to K-theory of covers in this advanced algebraic topology presentation by Anna Marie Bohmann.

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

Geometry: An Interactive Journey to Mastery

85 ratings at The Great Courses Plus

Experience an intuitive and fun approach to learning the subject of geometry in this course taught by an award-winning educator.

• The Great Courses Plus
• 18 hours 20 minutes
• On-Demand
• Free Trial Available

Learn about discrete math, the math of computer science!

• Codecademy
• 4 hours
• On-Demand
• Free Trial Available

Academic Lesson

Number Theory Full Course - A to Z

Comprehensive exploration of number theory, covering fundamental concepts, theorems, and applications. Ideal for learners seeking in-depth understanding of integer properties and advanced mathematical principles.

• YouTube
• 2 hours 34 minutes
• On-Demand
• Free Video

Michael Penn

Primitive Roots Modulo n

Explore the mathematical foundations of primitive roots modulo n, covering order calculations, existence theorems, and applications to solving exponential congruences.

• YouTube
• 2 hours 42 minutes
• On-Demand
• Free Video