hi, i’m khyathi

i’m a rising sophomore at caltech, where i study on a full scholarship made possible by the generosity of an emergent ventures benefactor. i was also a participant in the 2025 adjoint school.

i’ve been fascinated by the idea of applying category theory to understand the world better, from quantum physics to social relationships. i’m a strong believer in making abstract mathematical ideas accessible to all, especially people from a humanities background. to this end, my mathematical thinking has been greatly influenced by eugenia cheng. apart from my interest in math and physics, i enjoy thinking about different cultures, visual media, music, contemporary philosophy, true crime, drug legalization, and so much more — some of my thoughts can be found at my blog. i’m currently working on a screenplay about invisibility.

mathematically, i currently enjoy thinking about: fusion categories, TQFTs, wild knots (and knot theory in general), catcolab, persistent homology, homotopy type theory, categorical systems theory. i’m also currently working on a research project involving using relative monads for quantum control, if that sounds interesting to you feel free to DM me on Discord or email me.

when it comes to travel and exploration, i love big cities. my favourite part of exploring a new area is trying out new restaurants. i’m on the beli app. i’m a huge fan of los angeles, i’m not a great photographer by any means, but i’ve collected some of my favourite photos.