- Make Training Non Zero-Sum
- I switched to point-based problem sets
- Revisiting Arc Midpoints in Complex Numbers
- Lessons from Math Olympiads
- A story of block-ascending permutations
- 117(d): Please don’t tax PhD tuition waivers
- Joyal’s Proof of Cayley’s Tree Formula
- Positive Definite Quadratic Forms
- Some Thoughts on Olympiad Material Design
- On Reading Solutions
- Holomorphic Logarithms and Roots
- Facts about Lie Groups and Algebras
- Combinatorial Nullstellensatz and List Coloring
- SysRq on Arch Linux Mac Mini
- Algebraic Topology Functors
- Notes on Publishing My Textbook
- DNSCrypt Setup with PDNSD
- A Sketchy Overview of Green-Tao
- Formal vs Functional Series (OR: Generating Function Voodoo Magic)
- New algebra handouts on my website
- Approximating E3-LIN is NP-Hard
- Against the “Research vs. Olympiads” Mantra
- Vinogradov’s Three-Prime Theorem (with Sammy Luo and Ryan Alweiss)
- First drafts of Napkin up!
- The Structure Theorem over PID’s
- Miller-Rabin (for MIT 18.434)
- Things Fourier
- ___ Students Have to Suffer
- Artin Reciprocity
- Against Hook-Length on USAMO 2016/2
- Against Perfect Scores
- 18.099 Transcript: Bourgain’s Theorem
- Shifting PDF’s using gs
- 18.099 Transcript: Chang’s Theorem
- Mechanism Design and Revenue Equivalence
- Tannakian Reconstruction
- Things SPARC
- Stop Paying Me Per Hour
- Some Advice for Olympiad Geometry
- Rant: Matrices Are Not Arrays of Numbers
- Writing Olympiad Geometry Problems
- Uniqueness of Solutions for DiffEq’s
- Putnam 2015 Aftermath
- Models of ZFC
- Cardinals
- Git Aliases
- Constructing the Tangent and Cotangent Space
- Time is Money
- Some Notes on Valuations
- The Mixtilinear Incircle
- Conversations
- Linnik’s Theorem for Sato-Tate Laws on CM Elliptic Curves
- Transferring
- Proof of Dirichlet’s Theorem on Arithmetic Progressions
- Diversity and Neg EMH
- Zeros and Primes
- von Mangoldt and Zeta
- On Problem Sets
- Cauchy’s Functional Equation and Zorn’s Lemma
- Writing
- Teaching A* USAMO Camp
- Representation Theory, Part 4: The Finite Regular Representation
- Represenation Theory, Part 3: Products of Representations
- Representation Theory, Part 2: Schur’s Lemma
- Representation Theory, Part 1: Irreducibles and Maschke’s Theorem
- Three Properties of Isogonal Conjugates
- Set Theory, Part 2: Constructing the Ordinals
- Set Theory, Part 1: An Intro to ZFC
- Why do roots come in conjugate pairs?
- Arch Linux on a Mac Mini
- What leads to success at math contests?
- Writing Olympiad Geometry
- A Sampler of Harvard Math
- PDF Compression
- Constructing Parallelograms
- Email, JetPack, and Wintermelon
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