Galois Theory Courses and Certifications

Fields Institute

Galois Groups of Lacunary Sparse Polynomial Systems

Explore Galois groups in lacunary sparse polynomial systems, examining their properties and applications in algebraic geometry and number theory.

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

Galois Theory

This course is an attempt to present the theory in such alight, and in a manner suitable for undergraduate and graduate students as well as researchers.

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

Mathemaniac

Why You Can't Solve Quintic Equations - Galois Theory Approach

Explore the fascinating world of Galois theory and discover why quintic equations can't be solved using a formula, with insights accessible to math enthusiasts of all levels.

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

International Centre for Theoretical Sciences

The Tau of Ramanujan by Eknath Ghate

Explore Ramanujan's tau-function, its significance in Number Theory, and recent developments. Discover intriguing patterns and open problems in this fascinating mathematical sequence.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 18

Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 14

Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 3

Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 8

Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 7

Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 6

Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 5

Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program

Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.

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

International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 1

Explore advanced techniques for studying rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its theoretical and practical applications in arithmetic geometry.

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

Insights into Mathematics

Galois Theory II - Historical Introduction to Polynomial Equations

Historical exploration of Galois' insights on polynomial equations, focusing on field extensions and symmetry groups. Explains the key to understanding equation solvability and the quintic's insolvability.

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

Insights into Mathematics

Galois Theory I - Introduction to Polynomial Equations and Symmetries

Explore Galois theory's insights into solving polynomial equations, from quadratic to quartic, and the historical development of algebraic problem-solving techniques.

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