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Statistics Lecture 1.1: The Key Words and Definitions For Elementary Statistics

Lecture 6 of Algebraic Topology course by Pierre Albin.

Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others.

This is an actual classroom lecture. This is the very first day of class in Differential Equations. We covered most of Chapter 1 which is mainly definitions, terminology, and initial value problems. Just tons of theory here.
Here is the book for the lectures…

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Topic: Big fiber theorems and ideal-valued measures in symplectic topology
Speaker: Yaniv Ganor
Affiliation: Technion
Date: October 22, 2021


In various areas of mathematics there…

Legend says the Chinese military once used a mathematical ruse to conceal its troop numbers. The technique relates to many deep areas of modern math research.

Workshop on the h-principle and beyond

Topic: Holonomic Approximation through Convex Integration
Speaker: Mélanie Theilliere
Affiliation: University of Luxemborg
Date: November 02, 2021

Convex integration and the holonomic approximation theorem are two…

Workshop on the h-principle and beyond

Topic: Flexibilization as localization
Speaker: Oleg Lazarev
Affiliation: University of Massachusetts, Boston
Date: November 5, 2021


Abstract: Cieliebak and Eliashberg showed that there is a special class of flexible…

Women and Mathematics 2017

Title: Approximation of the entries of a random orthogonal matrix by independent standard normal
Speaker: Kathryn Lockwood
Affiliation: Case Western Reserve University
Date: May 17, 2017

For more videos, please visit http://video.ias.edu

An intro to holomorphic dynamics, the study of iterated complex functions.
Video on Newton's fractal: https://youtu.be/-RdOwhmqP5s
Special thanks to these supporters: https://3b1b.co/lessons/holomorphic-dynamics#thanks

Extra special thanks to Sergey Shemyakov…

Geometric and Modular Representation Theory Seminar

Topic: Microlocal sheaves on certain affine Springer fibers
Speaker: Zhiwei Yun
Affiliation: Massachusetts Institute of Technology
Date: April 14, 2021

For more video please visit http://video.ias.edu

Definition. Call an object $X$ of a category $\mathbf{C}$ nearly initial iff firstly, it is weakly initial, and secondly, for all objects $Y$ and all morphisms $f,g : X \rightarrow Y$, there exists...

Joint IAS/Princeton University Number Theory Seminar

Topic: The unbounded denominators conjecture
Speaker: Yunqing Tang
Affiliation: Princeton University
Date: November 11, 2021

The unbounded denominators conjecture, first raised by Atkin and Swinnerton…

I am an undergrad, math major, and I had basic combinatorics class using Combinatorics and Graph Theory by Harris et al before (undergrad level). Currently reading Stanley's Enumerative Combinatorics

The Euclidean Algorithm might just be the most fundamental idea in all of Number Theory. In this video I introduce the Euclidean Algorithm, taking inspiration from Martin H. Weissman's An Illustrated Theory of Numbers.

You can find Martin's book here:
…