James V. Roggeveen

Researcher & Applied Mathematician

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My interests for as long as I can remember have always lain at the intersection of a desire to better understand the complex physical processes happening around me and a desire to use that understanding in the pursuit of innovation. These twin desires have formed the core of my journey as both a mechanical engineer and an applied mathematician. This journey led me to study fluid mechanics, a field deeply enriched by the techniques of applied mathematics, the fundamental understanding of physics, and applicability of engineering.

I am in the process of finishing my PhD In Mechanical and Aerospace Engineering at Princeton University, where my research has focused on applying mathematicals to model fluid mechanical phenomena. In particular, I have focused on the motion of particles and the fluids around them in low-Reynolds-number flows, where the high viscosities and small length scales give rise to phenomena unintuitive to our minds trained in a world dominated by inertia. This work has primarily involved developing analytical theories of fluid motion and applying numerical techniques and simulations to both investigate the long-time behavior of complex dynamical systems and to validate asymptotic approximations. My numerical playground of choice is Python, though I do have some familiarity with the C package Basilisk.

Before Princeton I completed a Masters degree in Applied Mathematics at the University of Cambridge, where I was a member of Trinity College and received a final mark of distinction for my performance. Prior to my stint across the ocean I graduated from MIT with a degree in Mechnical Engineering, having gained a number of skills in both engineering theory and practice. I look back fondly on my time at the Institute but most especially remember the enduring friendships I built there that continue to flourish up to the present day.

As I come to the end of my PhD, I am excited about the prospect of embarking on exciting new personal and professional challenges. In particular, I plan to continue developing my skills with numerical techniques and hope to apply my knowledge of modeling and data analysis to exciting problems across a diverse range of fields.

news

Nov 19, 2023 Excited to be attending the 76th Annual Meeting of the APS Division of Fluid Dynamics in Washington DC. Check out my talk on the drifting of elastic hinges in oscillating flows in session ZC34 on Tuesday afternoon.
Oct 02, 2023 Our paper on modeling micropipette aspiration for use with biological condensates is out now in Biophysical Journal!