Homological Algebra Courses and Certifications

Wall Finiteness Obstruction for DG Categories I

Explore the Wall finiteness obstruction theorem and its application to DG categories in this 1-2 hour study from the University of Miami. Delve into homotopically finitely presented DG categories and more.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Online Course

Chennai Mathematical Institute;  NPTEL

Computational Commutative Algebra

This is an introductory course in computational commutative algebra. Topics are developed along with computations in Macaulay2. The emphasis will be on concrete computations, more than on giving complete proofs of theorems. The course is intended for adv…

• Swayam
• 12 weeks
• 21st Jul, 2024
• Free Online Course

Fields Institute

Applications of Topological Cyclic Homology in Algebraic K-Theory

Explore topological cyclic homology's applications in algebraic K-theory with the Fields Institute. Less than 1-hour material covering key concepts and impacts on number theory.

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

Applied Algebraic Topology Network

Homological Algebra for Persistence Modules

Explore the rich algebraic theory of persistence modules with Peter Bubenik in this under 1-hour session offered by the Applied Algebraic Topology Network.

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

International Centre for Theoretical Sciences

Ambidexterity I by Neil Strickland

Explore duality phenomena in algebra and topology with experts from the International Centre for Theoretical Sciences. Expect 1-2 hours of material over two weeks.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Ambidexterity III by Neil Strickland

Explore duality phenomena in algebra and topology with experts in a two-week workshop by the International Centre for Theoretical Sciences. Requires basic knowledge in algebraic topology and commutative algebra.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Duality and Stratification in Commutative Algebra by Srikanth B. Iyengar

Explore duality and stratification in commutative algebra with Srikanth B. Iyengar in a 1-2 hour session offered by the International Centre for Theoretical Sciences.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Real Multiparameter Persistent Homology

Explore the practical applications of real multiparameter persistent homology in data science with this 1-2 hour material from the Applied Algebraic Topology Network. No prior experience required.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

The Module Structure of a Group Action on a Ring

Explore the module structure of a group action on a ring with the Hausdorff Center for Mathematics. Understand homological algebra and its link to group action geometry. Less than 1hr workload.

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

QuantumTopology

Knot Invariants Arising from Homological Operations on Khovanov Homology

Dive into knot invariants and homological operations on Khovanov homology with A. N. Shumakovich's brief material from QuantumTopology.

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

ICTP Mathematics

Hochschild (co)homology and Geometric Regularity - Andrea Solotar

Explore Hochschild (co)homology spaces and their role in determining geometric regularity of associative algebras with ICTP Mathematics. Duration: 1-2 hours.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course

Fields Institute

The Close Relation Between K Theory and TC Theory

Explore the tight relationship between K and TC theory in noncommutative rings, with Fields Institute. Less than 1-hour workload.

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

Institute for Pure & Applied Mathematics (IPAM)

Classical Topology and Quantum Complexity - IPAM at UCLA

Explore quantum complexity in topology with Tamara Kohler, focusing on computational challenges in homology groups. 54-min talk with IPAM.

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

NPTEL;  IIT Bombay

Introduction to Algebraic Topology (Part-II)

The syllabus is common to MA5102 at IIT Bombay and AFS-III program of National Centre for Mathematics. It has enough material common to the syllabus followed by several Universities and IIT’s in the country and goes beyond. I have published a book…

• Swayam
• 12 weeks
• Finished
• Free Online Course