Publications

Math Olympiad Handouts

I've written a number of handouts for national math olympiad training camps. Recommended handouts are indicated with a 🌟.

Algebra

• Inequalities - 2025 Canada Summer Training
  A collection of the best inequality problems I've ever seen plus a few of the worst.
• Functional Equations Over Reals - 2024 Canada Summer Training
  Important ideas for tackling real FEs. Example solutions are included in the back.
• Multivariate Polynomials - 2024 Canada Summer Training
  What adding more variables does to a polynomial.
• Real Polynomials - 2024 Canada Winter Training
  All the tools you'd ever need for polynomial problems.
• (Real) Functional Equations - 2020 Canada Summer Training
  A compilation of problems involving FEs, mostly concerning R.

Combinatorics

• Graphs, Graphs, Graphs - 2025 Canada Winter Training
  Graph theory, from handshaking to Caro-Wei. Hints to problems are included in the back.

Geometry

• Projective Geometry - 2021 Canada Summer Training
  Basics on projective geometry.
• A Few (Geometry) Problems - 2021 Canada Summer Training
  A few interesting problems with a different flavour from olympiad geometry.
• Incircles - 2021 Canada Summer Training
  Some simple facts about incircles and some not-so-simple problems about incircles.
• Complete Quadrilaterals and the Miquel Point - 2021 Canada Summer Training
  A closer look at a general configuration. Please let me know if you solve C7.
• Ratio Chasing - 2021 Canada Winter Training
  Powerful applications of Ceva's, Menelaus's, and Law of Sines. Still counts as synthetic.
• Weird Geometry - 3020 Canada Summer Training
  A grim prediction of olympiad geometry 1000 years in the future.
• Tangent Circles - 2020 Canada Summer Training
  TL;DR either use inversion or look for a Miquel point. Sometimes both.
• A Few Configurations - 2020 Canada Winter Training
  Around the orthocenter, incenters and excenters, and isogonal conjugates.

Number Theory

• Divisibility - 2025 Canada Summer Training
  An overview of concepts used to tackle divisibility setups.
• Integer Polynomials - 2024 Canada Summer Training
  Dealing with integer polynomials and polynomials mod p. Example solutions are included in the back.
• Functional Equations in Number Theory - 2020 Canada Summer Training
  A compilation of problems involving FEs in NT.
• Polynomials in Number Theory - 2020 Canada Summer Training
  A compilation of problems involving polynomials in NT.

Projects

Some CS projects from undergrad.

• Spheres
  What happens when you add spheres?
• Balloons
  Make balloons. Fly away.
• Stained Glass Radiance Fields
  Differentiably rendering triangle soups to learn radiance fields for my 6.869 final project.
• Surface Reconstruction
  Solving the Poisson Surface Reconstruction problem with an FMM-like approach for my 6.335 final project.
• Pencil Sketching
  6.838 final project done with Eric Zhang. Real-time pencil rendering with triangle meshes and with signed distance fields.

Competitive Programming

I've written over fifty problems for competitive programming contests. Here are some of my favourites:

• DMOPC '18 Contest 4 P6 - Dr. Henri and Resistor Chains
• DMOPC '18 Contest 3 P5 - Bob and Physics Class
• DMOPC '18 Contest 1 P6 - Sorting (all of the problems on this contest were called Sorting)
• DMOPC '18 Contest 1 P4 - Sorting (all of the problems on this contest were called Sorting)
• World Domination Fun
• DMOPC '17 Contest 2 P5 - Game
• GCC '16 P3 - Hang Gliding Fun (one of the first problems I wrote!)