https://youtu.be/_ckfHYuAjRA

YouTube

Terence Tao - Finite time blowup constructions for supercritical equations [2017]

Slides for this talk: https://drive.google.com/file/d/1PromxQ9hL4k5MrQMOsB1\_nRpGS8efQmV/view?usp=sharing Terence Tao (UCLA) 2017-06-16 Finite time blowup constructions for supercritical equations Abstract : Many basic PDE of physical interest, such as…

https://mathstodon.xyz/@tao/112557248794707738

Mathstodon

Terence Tao (@[email protected])

There has been a remarkable breakthrough towards the Riemann hypothesis (though still very far from fully resolving this conjecture) by Guth and Maynard making the first substantial improvement to a classical 1940 bound of Ingham regarding the zeroes of the…

The Man Who Saved Geometry
https://vimeo.com/120725835

https://www.nicolasboumal.net/book/

www.nicolasboumal.net

An introduction to optimization on smooth manifolds

Resources for book introduction to optimization on smooth manifolds

https://en.wikipedia.org/wiki/Reverse_mathematics

Wikipedia

Reverse mathematics

Reverse mathematics is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. Its defining method can briefly be described as "going backwards from the theorems to the axioms", in contrast to the…

https://youtu.be/53nZY5udKHQ

YouTube

Probability Lecture 1: Events, probabilities & elementary combinatorics - 1st Year Student Lecture

The First Year Probability lectures are for Oxford students of Mathematics, Computer Science and joint degree courses between Mathematics and Statistics and Mathematics and Philosophy. Lecture 1 (the first of six we are showing) takes the intuitive notion…

https://writings.stephenwolfram.com/2024/01/the-story-continues-announcing-version-14-of-wolfram-language-and-mathematica/

Stephenwolfram

The Story Continues: Announcing Version 14 of Wolfram Language and Mathematica

Wolfram's Version 14 includes expansive connections to and from LLMs. New learning tools, including courses and books. Plus, functionality advances in math, core language, video objects, trees, finite fields, Knowledgebase, systems engineering, graphics.…

https://www.cantorsparadise.com/how-mathematics-can-help-us-understand-consciousness-77ac0f9ac12f

Medium

How Mathematics Can Help Us Understand Consciousness

Is there a way to quantify and model the phenomena of awareness, feelings, thoughts, and selfhood?