Hi! I'm an undergraduate student at UCSD. I really like math, computer architecture, and optimization.

I previously interned with Roblox's Physics team, where I worked on mesh compression and low-level optimizations for aerodynamics simulation.

These are some things I did for fun:

• Here is a cool derivation for ${\sum }_{n=1}^{\infty }\frac{\sin (xn)}{n}$ (2025).
  • Here is a more naive derivation for the same thing that I did 2 years prior in 2023.
• Below is a double pendulum simulation I made in Houdini. I derived the equations of motion using the least action principle and used RK-4 to approximate their solutions.
• Below are some fluid simulations I made using the Particle-In-Cell Method.
• Here is a JPEG compressor I wrote.

I previously did research on Argo float trajectory prediction and gave talks at the following:

• Ocean Sciences Meeting 2024
• UCSD Undergraduate Research Conference 2024

Fun fact: I don't have a last name!

You can email me at: fkalkin at ucsd dot edu