graham, i am

games

• check out my itch.io page to play some of my hastily made jam games
• bunny hungry is a forthcoming game I'm developing with Isabel Nelson—stay tuned!
• play RightSnake (high score recording doesn't work, so send me your screenshots!)
• play holiday bucket by pressing the space bar and collecting the presents
• play dodgeball baseball to learn the true meaning of sports (space bar turns, R resets, "mobile friendly")

programs

• the "flea"
  • click here to play
  • available states are -1,...,9 (color-coded)
  • turning is expressed in "number of quarter turns CCW"
  • click "update" to set the rules (bug is red if rules are invalid)
  • press SPACE to iterate (you can hold it down, too, but make sure you have ESC'd from the menu first)
  • press A to toggle autorun
  • press F to toggle "follow the flea"
  • press C to clear the grid but keep rules (while autorun is off)
  • press R to reset everything
  • press N to reset the step counter in the top-left
  • press ESC to get out of the menu
  • left-click a color block from the menu, then left-click to color the grid
  • right-click to recenter the camera
  • arrow keys pan the camera
  • the -/+ keys (without shift held down) zoom in/out
• the derivative game
  • click here to play
  • click to see the graph and click again to start drawing the derivative
  • drag the mouse up and down to sketch the derivative
  • not mobile friendly, sorry!
  • at the end of a round, click for a new graph
  • if you draw \(g(x)\) and the original function is \(f(x)\), then i think your score is approximately \(\frac{1}{2a} \int_{-a}^{a} | g(x) - f'(x)| \, \mathrm{d} x\) (if i calculated that correctly), where \(\pm a\) are the extreme \(x\)-values
  • made with p5.js and here is the source code for the derivative game
• try to draw symmetric Venn diagrams (click to reset)
• reflect a square over a circle (click in window and use arrow keys to adjust sizes)
• a program in which two lines try to meet the one you draw at right angles (click to restart)
• the Galois clock
  click here for the clock itself!

  • move mouse left/right to turn clock
  • click in window and then use left/right arrow keys to fine-tune
  • bonus: try to figure out what it means! (here's a presentation about it)
  • relatedly, here (work in progress) is how i believe all 12-hr analog clocks should work...
    • there are five minutes per revolution of the second hand
    • each hand moves exactly 12 times faster than the last
    • the demo is sped up so you can see how it works over "long periods of time"
    • made with p5.js
• interface for solving battleship logic puzzles
  here's the code! (updates on the way eventually)

  • left click to place water
  • right click to place a ship
  • left click at the end of row/column and type number
  • A toggles autofill
  • C saves a checkpoint
  • L loads the checkpoint
  • N removes a row/column number
  • R resets if pressed twice
  • U = undo one step
  • let me know if you want any features!

writing

• my girlfriend, Mira, and i wrote this crossword puzzle together
  • we made it onto the featured puzzles page on 7 nov 2022!
• here is something colorful i wrote about set-builder notation once
• this is how i feel about math education sometimes
• i felt inspired to design a tea-themed logic puzzle: tea time
• some math problems i find compelling
• some things i refer to as Latigrams
• some other things i refer to as ChainLetter puzzles
• i have lots of room for improvement when it comes to writing crosswords
• something i once wrote for a linear algebra class
• a mad lib made from the abstract of my thesis

teaching

• Proof School
  • graph theory
  • linear algebra
  • algebra
  • euclidean geometry
  • applications of linear algebra
    • based on one of my favorite math books ever
  • cryptography
  • algebraic topology
  • precalculus
  • differential calculus
• University of Washington
  • calculus (both as TA and lead instructor)
  • linear algebra (both as TA and lead instructor)
  • discrete mathematics (TA)
  • business calculus (TA)
• Freedom Education Project Puget Sound
  • math in society
  • algebra

artwork

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education

• University of Washington
  • Mathematics Ph.D. 2020
• Auburn University
  • Mathematics and Physics B.S. 2015
• Budapest Semesters in Mathematics
  • Honors Diploma 2014

research

• Cycle type factorizations in \(\mathrm{GL}_n \mathbb{F}_q\) - this is my thesis research, advised by Sara Billey - ALCO - slides - video
• Existence and hardness of conveyor belts - with many others - E-JC
• A classical analogue for adiabatic Stark splitting in non-hydrogenic atoms - with Francis Robicheaux - J. Phys. B