Isomorphisms Courses and Certifications

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 Video

Kimberly Brehm

Abstract Algebra

1 review

Comprehensive introduction to abstract algebra, covering symmetries, groups, isomorphisms, and more. Follows Gallian's text with accompanying slide decks for in-depth understanding.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Video

On the Art of Giving the Same Name to Different Things - Higher Dimensional Mathematics

Explore the mathematical concept of sameness, from isomorphism to equivalence, and its evolution in higher-dimensional mathematics. Discover new foundations that align with centuries of mathematical practice.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

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

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

Basic Algebraic Geometry

Explore local rings, morphisms, and function fields in algebraic geometry. Understand smoothness, singularities, and the geometric significance of local ring isomorphisms.

• YouTube
• 9 hours
• On-Demand
• Free Video

Institute for Advanced Study

String Topology and the Intersection Product - Nathalie Wahl

Explore string topology, intersection products, and loop spaces in this advanced mathematical seminar by Nathalie Wahl, delving into field theory and coproducts.

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

Institute for Advanced Study

Strong Approximation for the Markoff Equation via Nonabelian Level Structures - William Chen

Explore strong approximation for the Markoff equation through nonabelian level structures on elliptic curves, delving into representation varieties and modular interpretations.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Floer Cohomology and Arc Spaces - Mark McLean

Explore Floer cohomology, arc spaces, and symplectic geometry with Mark McLean. Delve into contact structures, jet spaces, and mapping moduli spaces in this advanced mathematical lecture.

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

Insights into Mathematics

Linear Algebra With Polynomials - Wild Linear Algebra A

Explore polynomials in linear algebra, covering interpolation, regression, and isomorphism. Learn to apply geometric approaches to transformations and connect polynomial spaces with vector spaces.

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

Linear Transformations

Explora transformaciones lineales, independencia lineal, teoremas clave y aplicaciones prácticas en álgebra lineal.

• YouTube
• 7 hours
• On-Demand
• Free Video

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 Video

Fields Institute

Roe-Type Algebras and Their Isomorphisms

Explore Roe-type algebras and their isomorphisms in this advanced mathematics talk by Alessandro Vignati, delving into operator algebras and their connections with logic.

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

Joint Mathematics Meetings

Computable Structure Theory with Noncomputable Structures

Explore computable structure theory, categoricity, and noncomputable structures in mathematics, focusing on fields and isomorphism types of subfields.

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