CompTools group
The CompTools group has open PhD positions! More information on this page.
I’m an Assistant Professor in Computer Science at CU Boulder (since August 2024) and the PI of this group.
My reseach focuses on the development of adaptive, high-order accurate algorithms for solving challenging ordinary and partial differential equations (ODEs and PDEs) that occur in physical systems, such as acoustic/electromagnetic scattering, and the evolution of the early-universe.
Prior to working at CU Boulder, I was a research fellow at the Center for Computational Mathematics in the Flatiron Institute, working with Alex Barnett. Before that, I earned my PhD in Cosmology from the University of Cambridge (UK), where I was advised by Anthony Lasenby, Mike Hobson, and Will Handley. I received an MSci + BA from the same university.
Riley Fisher is a PhD student in applied mathematics, co-advised with Adrianna Gillman. Riley joined the group in early 2025. Her work focuses on developing and implementing high-order accurate boundary integral equation methods to solve scattering problems in periodic settings. To compute scattering solutions efficiently, her approaches exploit often re-used information to perform a significant portion of the work in a precomputation step, and accelerating the solve stage. The solvers she develops use fast linear algebra for additional speed.
She codes predominantly in MATLAB, but has experience in Rust, C++, and Python.
She completed internships at NSF NCAR and NREL, where she worked on HPC implementations of various fluid dynamics codes.
Jorge Lopez Leon is an undergraduate student studying physics at the University of Puerto Rico at Mayaguez. He completed a summer research internship in the group in 2026, as part of the Puerto Rico - Colorado Program (PRCP), where he worked on a novel numerical method for solving nonlinear, highly oscillatory ordinary differential equations. He successfully implemented an interative method based on the Poincare-Lindstedt approximation for finding periodic solutions of such equations.
For his summer work, he was awarded the Best Poster prize in the category “Computing, Robotics, and Engineering Systems”.
He is proficient in C/C++, MATLAB, Python, and has completed several internships, including one at Sandia National Labs.
Andy Gusty earned his BS in applied mathematics and computer science from CU Boulder in 2026. In his last year at CU, he completed his senior thesis in the group, co-advised by Emily Jensen, Cody Scarborough, and Elizabeth Bradley. His thesis, titled “Optimal Design of Nonlinear Periodic Electrical Networks for Soliton Pulse Generation”, presents a computational framework for designing nonlinear transmission lines that support localized, large-amplitude solitons (traveling wave solutions over an infinite, periodic circuit).
For his senior thesis, Andy received the Undergraduate Research Award from the College of Engineering and Applied Science. He was also awarded the prestigious NSF Graduate Research Fellowship.
He is now a PhD student at UC San Diego.