Field Theory Courses and Certifications

Institute for Advanced Study

String Topology and the Intersection Product - Nathalie Wahl

Explore string topology, intersection products, and loop spaces in this advanced mathematical seminar by Nathalie Wahl, delving into field theory and coproducts.

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

ICTP Mathematics

Hopf-Galois Extensions and Applications

Explore Hopf-Galois theory, its applications in field extensions, and arithmetic properties derived from algebraic curves. Gain insights into this generalization of classical Galois theory.

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

NPTEL-NOC IITM

Separable Extensions: Multiple Roots, Derivatives, and Inseparable Polynomials - Part 1

Explore separable extensions, multiple roots, derivatives, and inseparable polynomials in field theory, enhancing understanding of algebraic structures.

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

NPTEL-NOC IITM

Uniqueness of Splitting Fields

Explore the concept of uniqueness in splitting fields, examining their properties and significance in abstract algebra.

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

HyperComplex Seminar

Running Coupling from a Classical Soliton Model - Part 2

Explore running coupling in field theory through a topological soliton model, examining its origins in finite-size electrons without singularities.

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

HyperComplex Seminar

Running Coupling from a Classical Soliton Model - Part 1

Explore running coupling in field theory through a topological particle model, examining its origins in finite-sized electron solitons without singularities.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Dublin Institute for Advanced Studies DIAS

Staggered Bosons - Novel Field Theories with Half Boson Degrees of Freedom

Explore novel field theories with half-boson degrees of freedom per lattice site, examining gapless systems, topological properties, and connections to critical spin chains.

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

Abstract Algebra

Explore fundamental concepts of abstract algebra, including groups, rings, fields, and vector spaces, with a focus on definitions, examples, and key theorems.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

NPTEL;  IIT Kanpur

Modern Algebra

Explore fundamental concepts and advanced topics in modern algebra through a comprehensive series of lectures by Prof. Manindra Agrawal, covering key principles and applications.

• YouTube
• 14 hours
• On-Demand
• Free Video

How Field Theory Can Help Solve Problems in Ecology - 2011

Explore how field theory concepts from physics can be applied to solve ecological problems, offering new insights into biodiversity and ecosystem dynamics.

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

Particle Physics and the Standard Model

Delve into fundamental particle physics, exploring quantum mechanics, special relativity, and the Standard Model through theoretical principles and experimental observations at the most basic level of nature.

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

Chennai Mathematical Institute;  NPTEL

Introduction To Rings And Fields

Explore abstract algebra with rings and fields, covering key concepts like ideals, domains, and field extensions. Ideal for math students seeking a deeper understanding of algebraic structures.

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

Dr. Gajendra Purohit

Group Theory

Comprehensive exploration of group theory, covering key concepts from basic definitions to advanced topics like Sylow theorems, ideal for mathematics and engineering students.

• YouTube
• 20 hours
• On-Demand
• Free Video

Simons Institute

Recent Advances in Quantum Simulation with Applications to Chemistry and Field Theory

Explore recent quantum simulation advances in chemistry and field theory, covering time-dependent Hamiltonians, QDRIFT, Dyson series, and interaction picture simulation techniques.

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

Institute for Advanced Study

Covariant Phase Space with Boundaries - Daniel Harlow

Explore covariant phase space with boundaries in field theory, covering key concepts like configuration space, prephase space, and Hamiltonian construction.

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