Writing
Constructing an ODE that attaches to a prescribed curve, using flow-matching machinery to derive a marginal vector field that generates a limit cycle from pure noise.
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Voltages as state variables, op-amp integrators for the linear terms, analog multipliers for the nonlinear products — the circuit continuously solves the Lorenz equations in real time.
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Simulated annealing on GPU using PyTorch — running thousands of parallel Game of Life simulations at once, powered by convolutions originally designed for CNNs.
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I'm an applied mathematician working in numerics and AI compute, with roots in dynamical systems.
My academic training was in nonlinear dynamics — PhD in physics and MS in applied math at the University of Michigan. My thesis applied PDE-constrained optimal control to fluid mixing. In addition, I worked on other fluid dynamics problems in active matter and acoustic droplet vaporization.
Out of graduate school I spent two years as a data scientist and machine learning engineer at a fintech startup, building a suite of time-series forecasting models — ARIMA-like models, Markov-chain models, and time-delay embedding methods from nonlinear dynamics.
Since 2021 I've been at Quadric, a custom AI inference processor startup, where I lead numerics and quantization. I take neural networks (CNNs and LLMs) down to int4/int8 on the chip's arithmetic with minimal accuracy loss, and build the kernels, error analysis, and validation tooling that make that possible. That analysis sometimes lands in the hardware itself: I quantified the error cost of different design choices in the chip's fp16 multiply-add, and wrote a custom fx32→fp16 conversion instruction in Verilog.
MIT
B.S. in Physics
Cambridge, MA
University of Michigan
M.S. in Applied Mathematics
Ann Arbor, MI
University of Michigan
Ph.D. in Physics
Ann Arbor, MI · 2018
Research
Physical Review Letters · 2019
Theoretical study of active matter at fluid interfaces, analyzing instability formation and flow constraints in a viscous setting.
Nonlinearity · 2018
How diffusion constrains the effectiveness of optimal incompressible flows, with consequences for achievable mixing rates and filament scales.
Journal of Nonlinear Science · 2018
Reduced shell-model formulation for studying optimal mixing, capturing multiscale transport behavior while remaining analytically tractable.
Journal of Applied Physics · 2016
Theoretical treatment of the pressure threshold for droplet vaporization under ultrasound, aimed at clarifying phase-change contrast-agent behavior.
Ph.D. Thesis, University of Michigan · 2018
Doctoral thesis investigating optimal mixing strategies through control-theoretic analysis of the advection-diffusion equation.
Full citation record on Google Scholar.