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 Video

Insights into Mathematics

Commutative Groups: Isomorphisms, Homomorphisms, Cosets and Quotient Groups - Lecture 3

Explore commutative groups, isomorphisms, homomorphisms, cosets, and quotient groups. Learn the fundamental structure theorem and its applications in understanding group theory concepts.

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

ACM SIGPLAN

Generically Automating Separation Logic by Functors, Homomorphisms, and Modules

Explore a novel theory for automating Separation Logic using abstract algebras, enabling generic reasoning about complex data structures with compositional instantiation and comparable performance to specialized systems.

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

Abstract Algebra: Group Theory with the Math Sorcerer

572 ratings at Udemy

Master abstract algebra fundamentals through group theory, from basic operations to advanced concepts like homomorphisms and quotient groups. Develop mathematical maturity through proven theorems and practical problem-solving.

• Udemy
• 10 hours 1 minute
• On-Demand
• Paid Course

Michael Penn

Abstract Algebra - Ring Homomorphisms

Explore ring homomorphisms in abstract algebra, including definitions, examples, and key properties like multiplicative behavior and kernels.

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

Michael Penn

Abstract Algebra - Properties and Examples of Ring Homomorphisms

Explore ring homomorphisms' properties and examples, including proofs and comparisons of isomorphic groups versus rings in abstract algebra.

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

Groups and Group Actions - Group Homomorphisms

Explore group homomorphisms as maps between groups that preserve operations, covering linear maps, determinants, and integer congruences in this Oxford mathematics lecture.

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

ICTP Mathematics

Satellite Operations That Are Not Homomorphisms

Explore non-homomorphic satellite operations in knot theory, examining their properties and implications for geometric topology research.

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

Applied Algebraic Topology Network

Alexander Dranishnikov - On the LS-Category of Group Homomorphisms

Exploration of LS-category equality for group homomorphisms, discussing proofs for specific group classes and presenting a counterexample for geometrically finite groups.

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

IEEE

Dichotomy for Graph Homomorphisms with Complex Values on Bounded Degree Graphs

Explore complex-valued graph homomorphisms on bounded degree graphs, examining partition functions, dichotomy, and key theoretical concepts in computational complexity.

• YouTube
• 25 minutes
• On-Demand
• Conference Talk

International Mathematical Union

Thomas Nikolaus: Frobenius Homomorphisms in Higher Algebra

Explore algebraic K theory, higher algebra, and Frobenius homomorphisms in topology and K theory with insights from Thomas Nikolaus.

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

ACM SIGPLAN

Array Programming via Multi-Dimensional Homomorphisms

Explore array programming using Multi-Dimensional Homomorphisms for efficient data-parallel computations, optimized code generation, and high-performance results on GPUs and CPUs.

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

Applied Algebraic Topology Network

Sequential Topological Complexity of Group Homomorphisms

Delve into advanced algebraic topology concepts, exploring sequential topological complexity of maps and group homomorphisms through detailed mathematical analysis and computations.

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

IISc Bangalore;  NPTEL

Introduction to Group Theory

Explore symmetries through group theory, from basic definitions to advanced concepts like homomorphisms and Sylow's theorems. Gain insights into geometric and number-theoretic applications.

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

Group Theory

Master fundamental concepts of abstract algebra through binary operations, group structures, theorems, and practical problem-solving in permutations, homomorphisms, and finite abelian groups.

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