Lemonade
A Sweet Homemade Drink Made in Many Parts of the World
News
Classes just started again. I've been thinking about proteins in my research and preparing for grad apps.
Latest Posts
[August 29, 2025:] Economics of Efficiency
[June 6, 2025:] A New Era
[June 6, 2025:] Bourgain's Problem Resolved!
Notes
Started taking live LaTeX notes in classes again. I might be uploading stuff soon!
Sea 🌊
This is something I'm working on!
Orange Juice
Now my "professional" website.
Mlog
Blog
Bourgain's Problem Resolved!
June 6, 2025
Inspired by Klartag and Lehec's resolution of Bourgain's slicing problem.
Read MoreWords I Pretend to Know
May 1, 2025
KL Divergence, Homology, Tor, and Revisiting Orientability.
Read MoreLiouville, Santallo, and Isoperimetric Inequalities
March 26, 2025
A difficult problem from my PSet.
Read MoreDifference Rings
August 25, 2024
I wish we could automatically prove things for differences and differentials simultaneously.
Read MoreUpdates and .vscode
August 21, 2024
I can't decide if I like nature, and also I learned of a cool feature!
Read MoreUnderstanding Lyapunov Functionals
August 11, 2024
Apparently Lyapunov functionals are great.
Read MoreLife and Basil Limeade
August 8, 2024
Things I've been thinking about, with a side of basil limeade.
Read MoreIt Turns Out Measure Theory Actually Is Useful
June 20, 2024
Warning! This will take you to another world!
Read MoreGrafting and GPUs
May 18, 2024
The coolest planting technique and some interesting articles I saw.
Read MoreCuts and the Well-Ordering Principle
February 13, 2023
Interesting Mathematical Self-Similarities that I need to figure out one day...
Read MoreP.E.K.K.A.s and Determinants
January 15, 2023
What do a P.E.K.K.A. and a Determinant have in common? What is Linear Algebra Done Right
Read MoreInvestigating the Fast Inverse Square Root
December 27, 2022
Benchmarking one of my favorite algorithms.
Read MoreComplex Numbers and Trig from the AIME
August 27, 2020
Redirect to my older blog, The Solved.
Read MoreWeighted Sums of Contact Points: Packing
August 26, 2020
Redirect to my older blog, The Unsolved.
Read MoreAnother Potentially Interesting Experiment
March 18, 2020
Redirect to my older blog, The Solved.
Read More250 Algebra Problems from Various Competitions
January 20, 2020
Redirect to my older blog, The Unsolved.
Read MoreAlgorithms to Equations: The if/else statements of Mathematics
June 11, 2019
Redirect to my older blog, The Unsolved.
Read MoreOn The Base b Representation of A Natural Number: UPDATE
January 5, 2019
Redirect to my older blog, The Unsolved.
Read MoreDeriving Euler’s Results on Perfect Numbers
December 24, 2018
Redirect to my older blog, The Unsolved.
Read MoreA Failed Proof on Odd Perfect Numbers
December 23, 2018
Redirect to my older blog, The Unsolved.
Read MoreOn the Base b Representation of a Natural Number
December 23, 2018
Redirect to my older blog, The Unsolved.
Read MoreA Cooler Proof of the Finite Geometric Series Formula
December 22, 2018
Redirect to my older blog, The Unsolved.
Read MoreThe Sum of the Fibonacci numbers is -1
November 26, 2018
Redirect to my older blog, The Unsolved.
Read More