Algebraic Number Theory Courses and Certifications

Instituto de Matemática Pura e Aplicada

Teoria Álgebrica dos Números - Aula 16

Explore advanced algebraic number theory concepts including algebraic integers, class groups, prime ideals, quadratic fields, and zeta functions in this graduate-level mathematics lecture.

• YouTube
• 1 hour 43 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Teoria Álgebrica dos Números - Aula 15

Explore advanced algebraic number theory concepts including algebraic integers, class groups, prime ideals, quadratic fields, and zeta functions in this graduate-level mathematics lecture.

• YouTube
• 1 hour 48 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Teoria Algébrica dos Números - Aula 19

Explore advanced algebraic number theory concepts including algebraic integers, class groups, prime ideals, quadratic fields, and the fundamental relationships between number field discriminants.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Teoria Algébrica dos Números - Aula 18

Explore advanced algebraic number theory concepts including algebraic integers, class groups, prime ideals, quadratic fields, and the fundamental relationship between zeta functions and class numbers.

• YouTube
• 1 hour 44 minutes
• Self-Paced
• Free Video

Pondicherry University;  CEC

Algebra

Comprehensive exploration of algebraic structures, group theory, and ring theory, providing a strong foundation for advanced mathematics and teaching careers.

• Swayam
• 15 weeks
• Self-Paced
• Free Online Course

MindYourDecisions

For Which Values of n Can You Find an Integer Solution?

Explore a mathematical problem from the 2024 Putnam Competition examining which values of n allow integer solutions, with step-by-step analysis of this intriguing number theory question.

• YouTube
• 11 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

International Centre for Theoretical Sciences

Elliptic Curves and the Special Values of L-Functions (2022)

Explore advanced mathematical theories connecting elliptic curves, L-functions, and arithmetic geometry through expert lectures on Iwasawa theory, Selmer groups, and special values.

• YouTube
• 2 days 4 hours 3 minutes
• Self-Paced
• Free Video

Algebraic Number Theory

Master advanced number theory concepts, from Diophantine equations to field extensions, exploring algebraic structures, class groups, and L-functions while building expertise in computational methods and proofs.

• Swayam
• 12 weeks
• No Longer Offered
• Free Online Course

International Mathematical Union

Probability Theory for Random Groups Arising in Number Theory

Explores probability theory for random groups in number theory, topology, and combinatorics. Covers moment problems, universality theorems, and distributions of class groups and Selmer groups.

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

Fields Institute

Geometrization of the Local Langlands Correspondence

Explore the advanced mathematical concept of geometrizing local Langlands correspondence, delving into its intricacies and implications in number theory and algebraic geometry.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

ICTP Mathematics

From Knots to Number Theory I

Explore connections between quantum knot invariants and number theory, covering hyperbolic topology, Kashaev invariant, and quantum modularity. No prior knowledge required.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Two Mathematicians, Their Work and Career Experiences - Radhika Ganapathy and Purvi Gupta

Explore cyclotomic fields in number theory and convexity in complex analysis through lectures by two accomplished mathematicians, offering insights into their research and career experiences.

• YouTube
• 2 hours 53 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Vertical Coincidences of an Elliptic Curve Defined Over a Number Field

Explore vertical coincidences in elliptic curves over number fields, extending Daniels-Lozano-Robledo's work beyond rational numbers to general number field cases.

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

Michael Penn

How Often Gaussian Integers Are Relatively Prime

Explore the frequency of relatively prime relationships among Gaussian integers through mathematical analysis and probability theory.

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