Homomorphisms Courses and Certifications

Institute for Pure & Applied Mathematics (IPAM)

Positivity for Symmetric Functions and Vertex Models

Explore connections between symmetric function homomorphisms and stochastic six-vertex model positivity, linking to RSK correspondence in algebraic combinatorics.

• YouTube
• 50 minutes
• On-Demand
• Free Online Course

Abstract Algebra

2 reviews

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

• YouTube
• 10 hours
• On-Demand
• Free Online Course

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
• On-Demand
• Free Online Course

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
• On-Demand
• Free Online Course

IMSC;  NPTEL

Algebra - I

Comprehensive postgraduate-level algebra course covering groups, rings, modules, and their applications. Ideal for M.Sc and first-year PhD mathematics students seeking a strong foundation in abstract algebra.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Chennai Mathematical Institute;  NPTEL

Introduction to Abstract Group Theory

Explore abstract group theory through definitions, theorems, and practical examples. Develop problem-solving skills and gain insights into fundamental concepts like Lagrange's and Sylow's theorems.

• Swayam
• 8 weeks
• On-Demand
• Free Online Course

IIT Kanpur;  NPTEL

Modern Algebra

Explore groups and rings in modern algebra, covering fundamental concepts, properties, and applications. Gain essential knowledge for advanced mathematics and teaching careers.

• Swayam
• 8 weeks
• On-Demand
• Free Online Course

CEC;  Pazhassi Raja NSS College

Group Theory I

Comprehensive exploration of group theory fundamentals, covering binary operations, cyclic groups, symmetries, homomorphisms, and isomorphism theorems. Ideal for advanced mathematics students seeking in-depth understanding.

• Swayam
• 16 weeks
• On-Demand
• Free Online Course

Group Theory

Explore groups through symmetries, applications, and problems.

• Brilliant
• 30-40 hours
• On-Demand
• 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
• On-Demand
• Free Online Course

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
• On-Demand
• Free Online Course

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
• On-Demand
• Free Online Course

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
• On-Demand
• Conference Talk

Special Topics in Linear Algebra

Explore advanced linear algebra topics including least squares approximation, error-correcting codes, functional calculus, affine transformations, stochastic maps, and C*-algebras.

• YouTube
• 5 hours
• On-Demand
• Free Online Course

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
• On-Demand
• Free Online Course