Over my career in applied mathematics, I’ve had the opportunity to work in a wide variety of areas:

- Partial differential equations
- Networks
- Signal processing and time series
- Psychoacoustics
- Complex analysis
- Information theory
- Functional analysis
- Linear algebra
- Bayesian filtering
- Probability
- Numerical analysis

In addition to the more traditional areas of applied math listed above, I’ve had occasion to apply number theory and category theory, two areas not typically applied to practical problems.

“John helped us solve a vexing and festering problem. Reducing it to mathematics and then to code required educated guesses, creative assumptions, intuition, deep knowledge of digital signal processing, and shots in the dark. This is where John excels: just the right mix of practical urgency with mathematical rigor. It’s difficult to overemphasize the difficulty of this problem and the acumen required to solve it completely and on a schedule. Just fantastic!” — Brian Beckman, PhD |