Homological Algebra Courses and Certifications

Chennai Mathematical Institute;  NPTEL

Computational Commutative Algebra

Learn computational commutative algebra through concrete Macaulay2 computations alongside foundational theory.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

NPTEL;  IIT Bombay

Introduction to Algebraic Topology (Part-II)

Advanced algebraic topology course develops homology through singular and simplicial methods, then applies it to Brouwer invariance and Lefschetz fixed-point theory.

• Swayam
• 12 weeks
• Not Currently Offered
• Free Online Course

IIT Bombay;  NPTEL

Commutative Algebra

Commutative algebra is essentially the study of the rings occurring in algebraic number theory and algebraic geometry. In algebraic number theory, the rings of algebraic integers in number fields constitute an important class of commutative rings — the D…

• Swayam
• 12 weeks
• Not Currently Offered
• Free Certificate