Homomorphisms Courses and Certifications

Group Theory

Explore groups through symmetries, applications, and problems.

• Brilliant
• 30-40 hours
• Self-Paced
• Paid Course

Linear Algebra - Full College Course

Learn Linear Algebra in this 20-hour college course. This course is taught by Dr. Jim Hefferon, a professor of mathematics at St Michael's College.

• freeCodeCamp
• 12 hours
• Self-Paced
• Free Video

NPTEL;  Chennai Mathematical Institute

Computational Commutative Algebra

This is an introductory course in computational commutative algebra. Topics in a typical first course in commutative algebra are developed along with computations in Macaulay2. The emphasis will be on concrete computations, more than on giving complete p…

• YouTube
• 1 day 7 hours
• Self-Paced
• Free Video

NPTEL;  IIT Madras

Algebra 1

Foundational PG level course in Algebra, suitable for M.Sc and first-year Ph.D. students in Mathematics. Learn Permutations. Group Axioms. Order and Conjugacy. Subgroups. Problem solving. Group Actions. Cosets. Group Homomorphisms. Normal subgroups. Quti…

• YouTube
• 1 day 11 hours
• Self-Paced
• Free Video

Insights into Mathematics

An Informal Introduction to Abstract Algebra

Informal introduction to abstract algebra, covering fields, rings, and vector spaces. Explores key concepts and examples, from basic number systems to advanced constructions, providing essential background for algebraic topology.

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

ICTP Mathematics

Abstract Algebra

Master fundamental algebraic structures including groups, rings, and fields through comprehensive lectures by Lothar Göttsche at ICTP Mathematics.

• YouTube
• 1 day 6 hours 15 minutes
• Self-Paced
• Free Video

Groups and Group Actions - Representations of Groups by Permutations

Discover how group actions create homomorphisms into permutation groups, prove Cayley's theorem, and explore rotation groups of regular polyhedra in this Oxford mathematics lecture.

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

ICTP Mathematics

Ergodicity in Smooth Dynamics 1

Explore ergodicity in smooth dynamics, covering introductory concepts, examples, proofs, and higher dimensions with experts Jana Rodriguez-Hertz and Amie Wilkinson.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Michael Penn

Abstract Algebra - More Ring Theory Examples

Explore advanced ring theory concepts, including ideals and homomorphisms in matrix and polynomial rings, with in-depth examples and proofs.

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

Institute for Advanced Study

Associativity Testing - Ben Green

Explore associativity testing in discrete mathematics, covering key concepts, theorems, and applications in group theory and additive combinatorics.

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

Abstract Algebra

2 ratings

Explore fundamental concepts of abstract algebra, including sets, relations, operations, groups, and advanced topics like homomorphisms, cosets, and group actions.

• YouTube
• 10 hours
• Self-Paced
• Free Video

International Mathematical Union

Jennifer Hom: Homology Cobordism and Heegaard Floer Homology

Explore homology cobordism and Heegaard Floer homology, delving into manifolds, theorems, and chain complexes in this advanced mathematical lecture.

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

ICTP Mathematics

Slope Detection in 3-Manifolds

Explore key concepts in 3-manifold topology, including slope detection, Lagrangian theory, and foliations. Learn about conjectures, theorems, and algorithms in this advanced mathematical field.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

IEEE

Quantum Isomorphism Is Equivalent to Equality of Homomorphism Counts from Planar Graphs

Explore quantum isomorphism and its equivalence to homomorphism counts from planar graphs, delving into quantum strategies, permutation matrices, and bilabel graphs.

• YouTube
• 25 minutes
• Self-Paced
• Conference Talk

Fields Institute

The Non-Commutative Analytic Toeplitz Algebra and Free Semigroup Algebras

Explore non-commutative analytic Toeplitz algebra and free semigroup algebras, covering topics like weak operator topology, functional calculus, and invariant subspaces.

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