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I'm a PhD candidate in mathematics at the University of Toronto. My research is in combinatorics, set theory, and theoretical computer science.
I care deeply about using my programming skills to solve hard problems and build tools that make abstract ideas useful.
Research Highlights
Research Highlights
Deep computations
Deep computations
A unified framework linking machine learning and compactness, exemplifying how the topology of function spaces encodes the algorithmic and epistemic limits of prediction.
Border tracer
Border tracer
A new border-tracing algorithm that generalizes classical image segmentation techniques from pixel-based grids to arbitrary polygonal tilings in abstract adjacency graphs.
Fer group
Fer group
A comprehensive object-oriented framework for the study of graph automorphism groups and more, including an optimally indexed SQL database for statistical inference and hypothesis testing.
Set theory forces probability
Set theory forces probability
Take the naturals as vertices of an infinite graph and flip a coin to decide whether each pair is an edge or not. Do this twice and you obtain two different infinite graphs. What is the probability that they are isomorphic? In this paper I give a new proof that the answer is, surprisingly, 100%.
Infinite game theory
Infinite game theory
We construct a dense linear order of arbitrary infinite cardinal on which Player II has a winning strategy on all payoff sets for the Cantor game.
Machine Learning and AI
Machine Learning and AI
QuantGPT
QuantGPT
An agentic AI framework that incorporates knowledge-graph reasoning with cryptographic vulnerability scanning through large language models (LLMs) to identify potential post-quantum security threats.
Developed as Visiting Scholar at the Fields Institute for Mathematical Sciences, in partnership with a major Canadian bank.
Neuro Shannon
Neuro Shannon
We leveraged recent advancements in Graph Neural Networks to optimize a noisy communication network to estimate its Shannon capacity.
Wiki explorer
Wiki explorer
A pipeline that automates educational video creation from Wikipedia entries without human intervention.
Tools I built
Tools I built
Markdown-based note sharing app with powerful LaTeX formatting. Share beautiful notes quick and easy, for free.
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