Galois Theory Courses and Certifications

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Differential Galois Theory and the Algebraicity of Solutions - Part 3

Delve into advanced concepts of Differential Galois Theory, exploring algebraicity of solutions and their applications in singular differential equations with mathematician Michael Singer.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Math TAU

תורת גלואה - עבר ועתיד

חקור את תורת גלואה, התפתחותה ההיסטורית והשלכותיה העתידיות בתחום המתמטיקה המתקדמת.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Méthodes Galoisiennes Appliquées aux Équations Fonctionnelles

Explorez les méthodes galoisiennes appliquées aux équations fonctionnelles en mathématiques avancées. Approfondissez vos connaissances avec cette conférence spécialisée du CIRM.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Wild Trig - An Introduction to Rational Trigonometry

Discover a revolutionary algebraic approach to trigonometry using quadrance and spread instead of angles and irrational numbers for more efficient geometric calculations.

• YouTube
• 19 hours 47 minutes
• Self-Paced
• Free Video

UC Berkeley

Mathematics: the Language of Nature

2 ratings

Join mathematician Edward Frenkel as he discusses how the elegant mathematical formulation of symmetry has been used throughout math and physics and could, through the Langlands program, give rise to a grand unified theory of mathematics.

• World Science U
• Self-Paced
• Free Online Course

Fields Institute

Differential Galois Theory with New Algebraic Constants

Explore differential Galois theory through the lens of new algebraic constants in this advanced mathematical workshop presentation.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Differential Galois Theory and the Algebraicity of Solutions - Part I

Explore differential Galois theory and algebraicity of solutions in this advanced mathematics lecture, delving into singular differential equations.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Differential Galois Theory and the Algebraicity of Solutions - Part II

Explore advanced concepts in differential Galois theory and algebraicity of solutions, building upon previous knowledge in this specialized mathematics field.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

NPTEL;  IIT Madras

Coding Theory

This course provides an introduction to traditional and modern coding theory. Topics covered include linear block codes, cyclic codes (BCH and RS codes), convolutional codes, turbo codes and low-density parity-check (LDPC) codes.

• YouTube
• 1 day 13 hours
• Self-Paced
• Free Video

Fields Institute

Fields Number Theory Seminar

Explore advanced number theory through expert seminars covering Galois theory, elliptic curves, L-functions, Shimura varieties, and arithmetic geometry from leading researchers.

• YouTube
• 3 days 11 hours 48 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Junior Trimester Program - Topology

Explore advanced topology through expert lectures on operads, motivic Galois groups, L2-invariants, K-theory, and fusion systems from leading mathematicians.

• YouTube
• 2 days 16 hours 18 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Abstract Algebra

Master fundamental algebraic structures including groups, rings, and fields through comprehensive lectures by Lothar Göttsche at ICTP Mathematics.

• YouTube
• 1 day 6 hours 15 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Arithmetic Algebraic Geometry in Memory of Jan Nekovář

Explore cutting-edge advances in arithmetic algebraic geometry through expert lectures honoring mathematician Jan Nekovář's contributions to the field.

• YouTube
• 22 hours 11 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields

Explore the deep analogy between integers and polynomials over finite fields, connecting number theory to geometry, topology, and Langlands theory through modern techniques.

• YouTube
• 12 hours 8 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Franco-Asian Summer School on Arithmetic Geometry

Delve into advanced arithmetic geometry through expert lectures on p-adic cohomology, Galois representations, and Simpson correspondence from leading mathematicians.

• YouTube
• 23 hours 46 minutes
• Self-Paced
• Free Video