Mathematical Physics Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Holomorphic-Topological Twists and Their Applications

Explore holomorphic-topological twists in supersymmetric quantum field theories, examining mathematical properties, formality results, categorical wall-crossing, and 't Hooft expansion approaches.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

NCCR SwissMAP

How to Deal with Non-Linear Integral Equations with Singular Kernels

Explore techniques for solving non-linear integral equations with singular kernels in condensed matter physics and quantum field theory.

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

NCCR SwissMAP

Supersymmetric XYZ Correlations and Painlevé VI

Explore supersymmetric XYZ correlations and their connection to Painlevé VI equations in condensed matter physics and quantum field theory.

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

NCCR SwissMAP

Towards a Mathematical Theory of the ODE/IM Correspondence

Explore the mathematical foundations of ODE/IM correspondence, bridging condensed matter physics and quantum field theory with integrability concepts.

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

NCCR SwissMAP

Reflection Relations and Singular Vectors in Integrable Systems - Lecture

Explore integrability in condensed matter physics and quantum field theory, focusing on reflection relations and singular vectors.

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

NCCR SwissMAP

Geometrical Web Models in Integrability and Condensed Matter Physics - Lecture 1

Explore integrability in condensed matter physics and quantum field theory through geometrical web models, gaining insights from cutting-edge research.

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

NCCR SwissMAP

Gravitating Vortices, Cosmic Strings, and the Kähler-Yang-Mills Equations

Explore gravitating vortices, cosmic strings, and Kähler--Yang--Mills theory in this advanced physics lecture on gauged maps and their moduli spaces.

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

IPhT-TV

Quantum Geometry of Fuchsian Systems - Lecture 1

Explore quantum geometry of Fuchsian systems, delving into advanced mathematical concepts and their applications in theoretical physics.

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

IPhT-TV

Coalgebra Symmetry and Discrete Time Integrable Systems - Lecture 2023

Explore coalgebra symmetry and discrete time invariant systems through advanced mathematical concepts and their applications in physics and engineering.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

IPhT-TV

Rough Paths for Physicists - Lecture 4

Explore advanced concepts in rough path theory and its applications in physics, focusing on stochastic differential equations and path-dependent functionals.

• YouTube
• 2 hours 24 minutes
• On-Demand
• Free Video

IPhT-TV

Rough Paths for Physicists - Lecture 3

Explore advanced concepts in rough path theory, focusing on applications in physics and stochastic analysis. Gain insights into this powerful mathematical framework.

• YouTube
• 2 hours 26 minutes
• On-Demand
• Free Video

IPhT-TV

Rough Paths for Physicists - Lecture 2

Explore advanced mathematical concepts in rough path theory, focusing on applications in physics and stochastic analysis.

• YouTube
• 2 hours 24 minutes
• On-Demand
• Free Video

IPhT-TV

Rough Paths for Physicists - Lecture 1

Explore rough paths theory in physics, covering iterated integrals, control differential equations, and applications to one-dimensional objects.

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

Gemini Center on Quantum Computing

A Mathematical Approach to Coupled Cluster Methods

Explore mathematical foundations of Coupled Cluster methods for many-body problems, covering essential concepts and recent advances in quantum chemistry and nuclear physics.

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

NPTEL-NOC IITM

Laguerre Polynomials - Rodrigues Formula and Properties

Explore Laguerre polynomials, including Rodrigues formula and key properties, to enhance your understanding of orthogonal polynomials in mathematical physics.

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