Mathematics

08 | 1-parameter subgroups (and examples), exponential mapping

Shirshendu Ganguly - Polymer models in critical environments - IPAM at UCLA

Prof. Susan Athey | Causal Inference and Decompositions for Sequence Data Using Generative Models

Prof. Leonid Polterovich | When Fokker–Planck Meets Contact Geometry in Thermodynamics

Mathematical Physiology, Lecture 4: Ionic currents and the Hodgkin-Huxley model - 4th year lecture

Catherine Wolfram - Brownian bubble tea - IPAM at UCLA

Statistical Thinking in Science: Crash Course Scientific Thinking #2

FM with Steve Willis

Scott Sheffield - 1 + 1 = 2 and (time permitting) 2 + 2 = 4 - IPAM at UCLA

07 | Lie algebra (general), the Lie algebra of a (matrix) Lie group

Prime Numbers (Mₙ = 2ⁿ − 1)

Aurelian Gheondea: Reproducing Kernel Hilbert Spaces. General Theory towards Mercer's Theorem

¿Eres capaz de hallar la hipotenusa de este triángulo rectángulo? Geometría Básica

Can you find the hypotenuse of this right triangle? Basic Geometry

Why Almost Everything Is Actually a Spring

Prof. Qingyuan Zhao | Origins of randomization for causal inference

Prof. Paul Rosenbaum | Being Realistic About Unmeasured Biases in Observational Studies

Multiple Speakers | Panel discussion: Foundation of causal inference

Limits at Infinity of Rational Functions

Dr. Hyunseung Kang | Causal Inference With Instrumental Variables ( Part 1)

Cohomology of p-adic period domains

06 | Surfaces , curve and function , Lie group

Vlad Vicol - On Stable Implosions

Richard Schoen - Minimal Surfaces Defined by Extremal Eigenvalue Problems

Qian Wang - On Global Dynamics of 3-D Irrotational Compressible Fluids

Camillo de Lellis - Boundary Plateau Laws

Le paradoxe de Zénon expliqué simplement

Zeno's paradox explained simply

The algebra of logic (X² = X)

Andrew Ilersich - Learning Stochastic Multiscale Models of Spatiotemporal Systems

05 | Manifolds and smooth maps , atlas for S^n and RP^n

Sung-Jin Oh - A Physical-space Approach to Global Asymptotics for Variable-coefficient (...)

Patrick Gerard - The Soliton Resolution Conjecture for the Benjamin-Ono Equation

Scott Armstrong - Anomalous Diffusivity and Regularity for Random Incompressible Flows

Philip Isett - A Proof of Onsager’s Conjecture for the Incompressible Euler Equations

Duong Phong - The Einstein Equation in Kähler Geometry

04 | Affine , Euclidean and Poincaré groups as matrix groups

Sylvia Serfaty - Two Methods for Deriving Singular Mean-Field Limits

Pin Yu - The Role of Spacetime Geometry in Gas Dynamics

Mathematical Physiology, Lecture 2: Transmembrane ion transport - 4th year student lecture

Is this THE MOST Important Idea in Math & Science?

Hong Wang - Furstenberg Sets Estimates with Application to Restriction Theory