Rate My Professor Tommaso Buvoli

Tommaso Buvoli is an Assistant Professor in the Department of Mathematics at Tulane University School of Science and Engineering, a position he has held since 2022. Prior to joining Tulane, he served as Visiting Assistant Professor in Applied Mathematics at the University of California, Merced from 2018 to 2022. Buvoli earned his Ph.D. in Applied Mathematics from the University of Washington in 2018, where his dissertation, supervised by Randall J. LeVeque, focused on Polynomial-Based Methods for Time Integration. He previously obtained an M.S. in Applied Mathematics from the University of Colorado Boulder in 2013, with a thesis on Rogue Waves in Optics and Water under Mark J. Ablowitz, along with B.S. degrees in Applied Mathematics and Computer Science from the same university. His academic journey also includes honors such as the Boeing Research Award from the University of Washington Department of Applied Mathematics in 2018 and an NSF Eastern Asia Pacific Summer Institutes grant in 2016.

Buvoli's research centers on the development, analysis, and application of novel numerical methods for solving complex, high-dimensional differential equations arising in multiscale dynamical systems, with applications to phenomena like weather modeling, combustion, and plasmas. His interests include numerical analysis, time integration methods, exponential integrators, Runge-Kutta methods, partitioned differential equations, Parareal methods, polynomial-based methods, and IMEX methods. Notable publications include 'A Class of Exponential Integrators Based on Spectral Deferred Correction' (SIAM Journal on Scientific Computing, 2020), 'Constructing New Time Integrators Using Interpolating Polynomials' with M. Tokman (SIAM Journal on Scientific Computing, 2019), 'Exponential Polynomial Block Methods' (SIAM Journal on Scientific Computing, 2021), 'Additive Polynomial Time Integrators, Part I: Framework and Fully-Implicit-Explicit (FIMEX) Collocation Methods' with B.S. Southworth (SIAM Journal on Scientific Computing, 2023), and 'Exponential Runge-Kutta Parareal for Non-Diffusive Equations' with M.L. Minion (Journal of Computational Physics, 2024). As principal investigator, he received NSF grant OIA-2327484 for $212,174 starting in 2024, and served as co-PI on NSF-DMS-2012875 for $250,000 in 2020. At Tulane, Buvoli teaches courses such as Scientific Computing II and III, and Ordinary Differential Equations, supervises students, co-organizes the Mathematics Colloquium and Applied and Computational Mathematics Seminar, and serves on the Undergraduate Studies Committee.