Besides interesting quasiperiodic behavior, we found unexpected localized swinging states that result from random initial conditions for certain parameter values. I was interested in the impact of heterogeneous geometries, and, to simplify the problem, I had introduced the alternating pendula array model. Just before starting at UW, I studied the classical pattern-forming Faraday waves, which form on the surface of a liquid when driven by vertical vibrations. To illustrate, I’ll tell you some about ongoing work on localized states in a pendulum array, which I’ve been studying recently in collaboration with former AMATH Acting Instructor Jason Bramburger (now an assistant professor at Concordia University and a brand new father). If you spend enough time in numerics, you may find that you need to delve into the core of the algorithms to make progress. Nowadays, things are a little different, with extensive and well-tested Python packages like numpy and scipy that hide away many details for convenience, and you can reliably integrate a complex system with just a couple of lines of code. I remember very well debugging a molecular dynamics program for my first undergraduate research for hours only to discover a missing digit in 92097/339200 (one of those Runge-Kutta magic parameters). Just a few years ago, the way to integrate an ODE was to walk to the library, check out a reference book, and copy an algorithm by hand. ![]() I do quite a bit of coding, both for my own work and as one of the maintainers of the PySINDy package that Nathan and Steve’s students created. The committee operates on student member labor and we can always use more help, so I encourage you to reach out to us if you want to contribute to the department’s efforts! These include the Women in Applied Mathematics Mentorship (WAMM) program, the annual department climate orientation and check-in events, the department’s public diversity plan, and a variety of cultural social events. The committee oversees many endeavors, which I want to encourage students to take advantage of. I’ve also enjoyed working on the Diversity Committee in the department for the last two years. My research focuses on symmetry, pattern formation, and the development of complexity in dynamical systems, and I collaborate with Nathan Kutz and Steve Brunton at the AI Institute in Dynamic Systems. students in the department on research projects. I have had the pleasure of advising several excellent undergraduate, Master’s, and Ph.D. Congrats to the students and faculty for raising appropriate concerns about building safety and the leadership for taking concrete measures! The isolation has been nice as I’m trying to wrap up old projects, but it will be great to see activity return soon.įor a quick background, I’m midway through my third year as an Acting Instructor and WRF postdoc in the department. I’ve been holding down the fort on the first floor and admiring Facilities' progress we will be prepared for a fire when everyone returns. Welcome to another academic year, AMATH! It’s summer as I’m writing, and Lewis has been quiet these days, hopefully implying that everyone is enjoying the weather. Applied & Computational Math Sciences (ACMS). ![]() in Computational Finance & Risk Management: Data Science Option in Computational Finance & Risk Management in Applied Mathematics: Data Science Option
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