Algebraic Number Theory Courses and Certifications

International Centre for Theoretical Sciences

On the Hasse Principle for Reductive Algebraic Groups Over Finitely Generated

Explore the Hasse Principle for reductive algebraic groups over finitely generated fields, delving into advanced number theory and algebraic geometry concepts.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Central Extensions of Arithmetic Lattices by Matthew Stover

Explore central extensions of arithmetic lattices, focusing on techniques from algebraic and analytic number theory. Gain insights into applications in geometry, topology, and mathematical physics.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Conjugacy Width in Higher Rank Arithmetic Groups of Orthogonal Type by Chen Meiri

Explore conjugacy width in higher rank arithmetic groups of orthogonal type, examining its properties and implications for group theory and related mathematical fields.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 2

Explore advanced topics in linear groups and Diophantine approximation, focusing on bounded generation and its applications in number theory and geometric analysis.

• YouTube
• 53 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Hasse Principle for Reductive Groups over P-Adic Function Fields

Explore the Hasse Principle for reductive groups over p-adic function fields in this advanced mathematics lecture by Raman Parimala, part of a program on Zariski dense subgroups and number theory.

• YouTube
• 58 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Genus of Division Algebras Over Discrete Valued Fields

Exploration of division algebras over discrete valued fields, focusing on their genus. Covers advanced algebraic concepts and their applications in number theory and field theory.

• YouTube
• 21 minutes
• On-Demand
• Free Video

ACM SIGPLAN

Certifying Rings of Integers in Number Fields

Explore the formalization in Lean 4 for certifying computations of rings of integers in number fields, including resultants, discriminants, and polynomial irreducibility proofs with practical verification of LMFDB entries.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Teoria Algébrica dos Números (2025)

Explore inteiros algébricos, ideais primos, grupo de classes, corpos quadráticos e ciclotômicos, teorema de Dirichlet e função zeta em teoria algébrica dos números.

• YouTube
• 1 day 8 hours 52 minutes
• On-Demand
• Free Video

The Theory of Numbers - Andrew Wiles

171 ratings at Udemy

The evolution of mathematics from antiquity to the present day

• Udemy
• 1 hour 4 minutes
• On-Demand
• Paid Course

Instituto de Matemática Pura e Aplicada

Teoria Álgebrica dos Números - Aula 04

Delve into advanced algebraic number theory concepts, exploring Dedekind domains, prime ideal factorization, and fundamental theorems in this graduate-level mathematics lecture.

• YouTube
• 1 hour 53 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Teoria Álgebrica dos Números: Propriedades de Traço e Normas - Aula 03

Explore propriedades de traços e normas em teoria algébrica dos números, incluindo anéis de elementos integrais e suas bases, com foco em corpos numéricos e discriminantes.

• YouTube
• 1 hour 53 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Teoria Álgebrica dos Números: Anéis Integralmente Fechados e Polinômios Mínimos - Aula 02

Delve into advanced algebraic number theory concepts, exploring integral closures, minimal polynomials, traces, and norms in this graduate-level mathematics lecture from IMPA.

• YouTube
• 1 hour 58 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Teoria Álgebrica dos Números - Aula 01

Dive into fundamental concepts of algebraic number theory, exploring rings, fields, characteristics, and integral algebraic numbers with comprehensive theoretical foundations and practical applications.

• YouTube
• 1 hour 57 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Teoria Álgebrica dos Números - Aula 06

Delve into advanced algebraic number theory concepts, exploring field extensions, discriminants, and ring of integers computation through rigorous mathematical analysis and proofs.

• YouTube
• 1 hour 43 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Arithmetic Geometry Seminar - Advanced Topics in p-adic Geometry and Algebraic Number Theory

Explore cutting-edge research in arithmetic geometry through expert presentations on p-adic Hodge theory, moduli spaces, and geometric Langlands correspondence.

• YouTube
• 1 day 5 hours 45 minutes
• On-Demand
• Free Video