Graphs and Patterns
in Mathematics and Theoretical Physics
A conference to celebrate Dennis Sullivan's 60th birthday

Department of Mathematics and Institute for Mathematical Sciences
Stony Brook, New York
June 14-21, 2001
http://www.math.stonybrook.edu/patterns/…

Remember when I used a video with a coconut in the thumbnail to drive a stake through the heart of mathematical structure? Today, in this introduction to the basics of category theory, I attempt to remove it.

27 Unhelpful Facts About Category Theory: ht…

Watch Harvard maths professor and 2022 Abel lecturer Michael Hopkins give his best advice to young mathematicians. This talk was held at an event during the 2022 Abel Prize week, where multiple Abel Laureates as well as other high profile mathematicians spoke…

IAS High Energy Theory Seminar

Topic: Non-Invertible Symmetries and their Representations
Speaker: Sahand Seifnashri
Affiliation: Member, School of Natural Sciences, IAS
Date: September 16, 2022

In the first half of the talk, I will review the notion of…

Watch the 2020 Abel Laureate Hillel Furstenberg explain why he went into mathematics. This talk was held at an event during the 2022 Abel Prize week, where multiple Abel Laureates as well as other high profile mathematicians spoke to young mathematicians.

The Riemann Hypothesis is the most notorious unsolved problem in all of mathematics. Ever since it was first proposed by Bernhard Riemann in 1859, the conjecture has maintained the status of the "Holy Grail" of mathematics. The person who solves it will win…

One of the most captivating concepts in mathematics is now on Netflix.

Of all the endless questions children and mathematicians have asked about infinity, one of the most fascinating has to do with its size.

In a 1967 letter to the number theorist André Weil, a 30-year-old mathematician named Robert Langlands outlined striking conjectures that predicted a correspondence between two objects from completely different fields of math. The Langlands program was born.…

This video is an introduction to geometric algebra, a severely underrated mathematical language that can be used to describe almost all of physics. This video was made as a presentation for my lab that I work in. While I had the people there foremost in…

Winners and honorable mentions for the SoME2 contest
Playlist of all entries: https://www.youtube.com/playlist?list=PLnQX-jgAF5pTZXPiD8ciEARRylD9brJXU
Help fund future projects: https://www.patreon.com/3blue1brown

Post with links to all entries:
https:/…

The Yoneda Lemma is a simple result of category theory, and its proof is very straightforward.

Yet I feel like I do not truly understand what it is about; I have seen a few comments here mentionin...

There is a serious mathematical problem with the tuning of musical instruments. A problem that even Galileo, Newton, and Euler tried to solve. This video is about this problem and about some of the ways to tackle it. It starts from the basic physics of…

Math 300 at the University of Washington, Winter 2021

In his senior year of high school, Daniel Larsen proved a key theorem about Carmichael numbers — strange entities that mimic the primes. “It would be a paper that any mathematician would be really proud to have written,” said one mathematician.

Read more…

\begin{align}
H=\begin{pmatrix}
\frac{1}{\sqrt{n}}&\frac{1}{\sqrt{n}}&\frac{1}{\sqrt{n}}&\frac{1}{\sqrt{n}}&\cdots&\frac{1}{\sqrt{n}}&\frac{1}{\sqrt{n}}
\\\frac{1}{\sqrt{2}}...

Recent explorations of unique geometric worlds reveal perplexing patterns, including the Fibonacci sequence and the golden ratio.

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