I'm a big advocate for not hiding your enthusiasm for things. It seems to me that there is a false stigma around eagerness in our culture of unbothered ambivalence. This outlook perpetuates the idea that it's not cool to want it. That people who don't try are fundamentally more chic than people who do.

Never be ashamed of trying, effortlessness is a myth.

Taylor Swift
intelligence math physics history biology sports personal

Implementing Automatic Differentiation in Pure Python

Forward-mode and reverse-mode autodiff in python featuring dual numbers and graph traversals

2025 Abel Prize

Masaki Kashiwara for contributions to algebraic analysis and representation theory

New + Mersenne + Largest Prime Found

After six long years, and for the first time using GPUs

An Elliptic Curve with Rank $\ge$ 29 has been found

more math news from Mathstodon

On the sums of multiples of two numbers

A pattern that has evaded explanation for a long time, so I'm posting it here.

$x^n/n!$ and Stirling's Formula

What is the size of the shift between two successive curves and how do you show that they intersect at integer points?

A very nice ruler and compass geometry puzzle

Find the shortest route between two points in a circle by touching the circumference along the route.

International Women in Mathematics Day

Remembering 2014 Fields Medallist Maryam Mirzakhani

Recreational Math Dump

Some fun questions I've been trying to solve on and off this month

2023 Turing Award

Avi Wigderson for foundational contributions to the theory of computation.

Infinitesimal Worms

A discontinuity paradox

2024 Abel Prize

Michel Talagrand for contributions to probability theory and functional analysis

Navier Stokes and smoothness

My notes while trying to make sense of the Navier Stokes problem

Dynamic Programming [UFO]

Some notes on rod-cutting, LCS, and 0-1 Knapsack...

MSTD sets

explicit constructions of sets with more unique pairwise sums than differences

Division Algorithm Theorem

a very elegant proof that I learnt after many hours of toil

OEIS A004207

Analysis of Entry A004207 in the OEIS

A Variation of the Four Fours Problem

Streaming while doing math

Seam Carving — Energy Function

Live Coding Seam Carving Part 2

Conway's Game of Life is omniperiodic!

A very good thread (with an unexpected Alexander crossover) from Mathstodon

IMO 1988 Day 2, Question 6

an elegant problem with an even more elegant solution

Einstein Summation Notation Exercises

Exercises in faster and more intuitive tensor notation for deep learning.

John Conway's Doomsday Algorithm

This is a very good party trick to learn

Faster Factorial Approximations

Comparing factorial computation times vs. approximation as exponentiation, gamma functions, and Stirling's approximation.

Convergence of an Arithmetic Mean Series

Prove that a series where each term is the arithmetic mean of the previous two terms converges.

$\LaTeX$ pipeline

How I work with $\LaTeX$ locally instead of using OverLeaf

Root Finding with Newton's Method

Testing whether Newton's method decays updates exponentially

Exercises in Number Theory [UFO]

Proofs and solutions from "Elementary Introduction to Number Theory" by Calvin Long

Some fun math puzzles

One of these is not like the other

Seam Carving — Intuition and Ideas

Live Coding Seam Carving Part 1

IYMC 2022 Qualification

some solutions I wrote up

Maryam Mirzakhani anecdote

Is it right?

2022 Fields Medals

number theory, sphere packing, and chromatic polynomials

Nicer ceil function in C++

The inbuilt ceil function was being very unwieldy. I prefer defining my own inline function now.

Modular Arithmetic

Storing a few results here for future use

How Many Recursive Calls Does a Recursive Function Make?

a wild fibonacci appears

So, you think you're bad at math...

A video from Prof. Courtney Gibbons I revisit a lot

June 2020 Release Notes [UFO]

Fermat's Last Theorem, Essay Writing and the return of La Liga and Serie A.

May 2020 Release Notes

A revision of first principles and more mathematics

Proof that $\exp(x)=\displaystyle\lim_{n\rightarrow\infty}\left(1+\frac{x}{n}\right)^{n}$

A math-heavy but super elegant proof that I learnt

April 2020 Release Notes

Mathematics mostly, with some code sprinkle-tossed in. Solving puzzles never felt more exhilarating.

Google Code Jam

Analysis and Solutions for the 2020 edition of Google's annual Code Jam competition.

Binary Search Trees

Notes for a lecture I gave as an undergrad