Harvard CMSA Courses

Algebraic Quantum Field Theory - Lecture 2/9/2024

Explore the foundational principles of algebraic quantum field theory through an advanced mathematical physics lecture examining theoretical frameworks and mathematical structures.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Arithmetic Topology and Field Theory

Explore the fascinating intersection of arithmetic topology and field theory through advanced mathematical concepts and their theoretical applications in quantum mechanics.

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

The Langlands Program via Arithmetic Quantum Field Theory

Explore advanced mathematical concepts connecting the Langlands program with arithmetic quantum field theory through expert insights and theoretical frameworks.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Algebraic Quantum Field Theory - Lecture 2/5/2024

Delve into advanced concepts of algebraic quantum field theory through an in-depth exploration of mathematical foundations and theoretical frameworks in quantum physics.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

The Langlands Program via Arithmetic Quantum Field Theory

Explore the intersection of quantum field theory and the Langlands program through advanced mathematical concepts and their arithmetic applications in modern theoretical physics.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Arithmetic Topology and Field Theory

Explore the intersection of arithmetic topology and field theory through advanced mathematical concepts and theoretical frameworks in this academic lecture from a leading expert.

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

Arithmetic Topology and Field Theory

Explore advanced mathematical concepts connecting arithmetic topology with field theory through expert insights into quantum field theory applications and theoretical frameworks.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Algebraic Quantum Field Theory - Lecture 2/7/2024

Explore the fundamental principles and mathematical foundations of algebraic quantum field theory through an advanced theoretical physics lecture from Harvard's research program.

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

A Quasi-Local Mass in General Relativity

Explore a new gauge-independent quasi-local mass theory in general relativity, examining its positivity properties, asymptotic behaviors, and applications in spacetime analysis.

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

Approaches to the Formalization of Differential Geometry

Explore cutting-edge approaches to formalizing differential geometry through computer systems, examining key challenges and innovative solutions in mathematical abstraction and automation.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Evaluating Language Models for Mathematics Through Interactive Problem-Solving

Explore how language models perform as interactive mathematical assistants through CheckMate platform, examining their effectiveness, limitations, and practical applications in mathematical reasoning.

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

The Feynman Propagator and Self-Adjointness

Delve into wave operators on Lorentzian manifolds, exploring Feynman and anti-Feynman inverses, their connection to self-adjointness, and spectral family properties in relativistic contexts.

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

60 Years of Matching: From Gale and Shapley to Trading Networks

Explore the evolution of matching theory from Gale-Shapley's groundbreaking 1962 paper to modern applications in medical residency placement and electricity markets, revealing its lasting impact on market design.

• YouTube
• 1 hour 39 minutes
• Self-Paced
• Free Video

On the Power of Forward Pass Through Transformer Architectures

Delve into advanced transformer architecture analysis, exploring BERT's parsing capabilities and the innovative Transformer in Transformer framework for simulating neural network behavior during inference.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Quasi-Local Mass in a Binary Black Hole Merger

Explore the Wang-Yau mass definition in general relativity, focusing on its application to black hole mergers and the calculation of mass in finite space regions through surface geometry analysis.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video