About me

I'm a Research Scientist at Coreform, LLC, where I'm working on the first commercial implementation of isogeometric analysis with a particular focus on immersed methods (e.g., CutIGA). I have primarily been involved in developing high-order trimming algorithms for nonsmooth CAD/CSG domains defined by implicit functions and applying numerical optimization to the design of Gaussian quadrature rules on cut cells (I may be one of the world's only paid quadrature engineers!). I'm particularly motivated by applications that bring together real world problems with challenging geometry and a need for ridiculously fast and accurate numerical algorithms. Ask me about Chebyshev polynomials...

Previously, I was a Courant Instructor at NYU’s Courant Institute of Mathematical Sciences working with Leslie Greengard and Mike O'Neil, where I was also affiliated with the Flatiron Institute's Center for Computational Mathematics. My focus during this period of time was the butterfly algorithm, a linear algebraic generalization of the fast Fourier transform which can be applied to kernel matrices that lack the rich algebraic structure of the complex exponential.

I obtained my PhD from the University of Maryland’s Department of Computer Science, where I was advised by Masha Cameron and Ramani Duraiswami. Before that, I received an MS in electrical engineering, also from the University of Maryland. Earlier still, I obtained a BS in mathematics from the University of Washington in my hometown of Seattle. During my PhD, I introduced a new class of numerical algorithms for solving the eikonal equation, termed jet marching methods. With this solver at its core, I developed a new approach to simulating geometric acoustics (supplemented with a diffraction theory) called numerical geometric acoustics. See below for more information.