Paul Wintz

PhD candidate in Applied Mathematics.

I am a PhD student in the Department of Applied Mathematics at the University of California, Santa Cruz. Under the advisement of Professor Ricardo G. Sanfelice, I study various topics within the domain of hybrid systems. My research interests include

  • Switching schemes between multiple controllers for achieving asymptotic stability
  • Approximation theory for hybrid systems
  • Model predictive control
  • Numerical simulation of hybrid systems

Outside of research, I have wide-ranging interests including music, art, improv comedy, and reading. You can find links to my presence across the internet at my LinkTree.

Software Projects

  • Hybrid Equations Toolbox: MATLAB toolbox for simulating hybrid systems and plotting the computed trajectories.
  • Dryer Lint: Extension for VS Code to define custom linting rules using regular expressions. I use it extensively when writing manuscripts in LaTeX. See more about my VS Code+LaTeX setup here.
  • Spyrotechnics: Mathematical art based on classic Spirograph toy. (But recursive! And animated!)
  • SHARC: A simulator for cyber-physical systems that uses a “microarchitectural simulator” to determine the runtime of a controller executable on a given CPU and incorporates the delay into simulation of the system’s dynamics.

Pages

Recent posts

LaTeX in VS Code

Explore how to effectively write LaTeX documents using VS Code with the right extensions, configurations, and project structure.

Theorem-like Environments in LaTeX

Description of various configurations for LaTeX theorem environments using the amsthm package. Includes descriptions of how to enable internal hyperlinking a...