Algebraic Number Theory Courses and Certifications

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
• On-Demand
• Free Online Course

Insights into Mathematics

Algebraic Number Theory and Rings I - Math History - NJ Wildberger

Explore algebraic number theory and rings, focusing on extension fields, Gaussian integers, and the development of abstract ring theory in 19th-century mathematics.

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

ICTP Mathematics

Bounds on the Number of Generators of Prime Ideals

Explore prime ideals and their generators, focusing on mathematical bounds and theoretical implications in algebraic geometry and commutative algebra.

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

ICTP Mathematics

From Knots to Number Theory II

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

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

Insights into Mathematics

Algebraic Number Theory and Rings - Math History II

Explores 19th-century algebraic number theory, focusing on extension fields, abstract rings, and algebraic integers. Discusses Gaussian integers, unique factorization, and foundational challenges in the field.

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

Fields Institute

Exponential Relations Among Algebraic Integer Conjugates

Explore exponential relations between algebraic integer conjugates, delving into advanced number theory concepts and their implications in mathematical research.

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

Fields Institute

Hasse Principle for Function Fields

Explore the Hasse principle's application to function fields, delving into its mathematical implications and theoretical foundations.

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

Fields Institute

Iwasawa Theory in a Family of Z_p-Extensions

Explore advanced number theory concepts, focusing on Iwasawa theory in Z_p-extensions families. Gain insights from expert Sujatha Ramdorai on this specialized mathematical topic.

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

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

Centre International de Rencontres Mathématiques

Class Field Theory - Lecture 1

Explore fundamental concepts of class field theory in this advanced mathematics lecture, delving into algebraic number theory and Galois theory.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video