Applied Mathematician  ·  Numerical Methods  ·  AI Silicon

Chris
Miles

Writing

Posts on AI compute, physics, and math


Research

Selected publications

Active matter invasion of a viscous fluid: Unstable sheets and a no-flow theorem

Christopher J. Miles, Arthur A. Evans, Michael J. Shelley, Saverio E. Spagnolie

Physical Review Letters · 2019

Theoretical study of active matter at fluid interfaces, analyzing instability formation and flow constraints in a viscous setting.

Diffusion-limited mixing by incompressible flows

Christopher J. Miles, Charles R. Doering

Nonlinearity · 2018

How diffusion constrains the effectiveness of optimal incompressible flows, with consequences for achievable mixing rates and filament scales.

A Shell Model for Optimal Mixing

Christopher J. Miles, Charles R. Doering

Journal of Nonlinear Science · 2018

Reduced shell-model formulation for studying optimal mixing, capturing multiscale transport behavior while remaining analytically tractable.

Nucleation pressure threshold in acoustic droplet vaporization

Christopher J. Miles, Charles R. Doering, Oliver D. Kripfgans

Journal of Applied Physics · 2016

Theoretical treatment of the pressure threshold for droplet vaporization under ultrasound, aimed at clarifying phase-change contrast-agent behavior.

Optimal Control of the Advection-Diffusion Equation for Effective Fluid Mixing

Christopher J. Miles

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.


About

Background

I'm an applied mathematician and numerical methods engineer with a background in physics, applied mathematics, and scientific computing.

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, with related work on active matter and acoustic droplet vaporization. Building numerical solvers from scratch — finite-difference, spectral, gradient-based PDE control — shaped how I approach engineering: start from the mechanism, make the assumptions explicit, and let the math discipline the design.

Out of graduate school I spent two years as a machine learning engineer at a fintech startup, building a suite of time-series forecasting models — ARIMA, state-space and Kalman filters, gradient boosting, LSTM/RNN sequence networks — and applying quadratic-programming optimization to portfolio asset allocation. The work translated the applied-math lens from PDEs into discrete dynamical systems and inference.

Since 2021 I've been at Quadric, a custom AI inference processor startup, as the in-house numerics lead. I've implemented floating-point hardware units in Verilog, built company-wide numerical testing methodology, developed fixed-point validation tooling and ONNX-to-silicon error tracing, and led the first Ax=b solvers on the chip.

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