Rate My Professor Lise-Marie Imbert-Gerard

Lise-Marie Imbert-Gerard is an Associate Professor of Mathematics at the University of Arizona and a member of the Graduate Faculty. She earned her Ph.D. in Mathematics from Université Paris VI in Paris, France, in 2013. Prior to her current position, she served as an Assistant Professor of Mathematics at the University of Maryland, College Park, from 2018 to 2020, where she was also affiliated with the Center for Scientific Computation and Mathematical Modeling. Her research specializes in numerical analysis and scientific computing, with a focus on developing advanced methods such as quasi-Trefftz functions and generalized plane waves for simulating wave propagation in inhomogeneous and anisotropic media. These techniques have applications in electromagnetics, acoustics, plasma physics, and stellarator design for fusion energy.

Imbert-Gerard has an extensive publication record in prestigious journals, including SIAM Journal on Numerical Analysis, IMA Journal of Numerical Analysis, Mathematics of Computation, and Numerische Mathematik. Key publications include 'A generalized plane-wave numerical method for smooth nonconstant coefficients' (IMA Journal of Numerical Analysis, 2014), 'Interpolation properties of generalized plane waves' (Numerische Mathematik, 2015), 'Fast, adaptive, high-order accurate discretization of the Lippmann-Schwinger equation in two dimensions' (SIAM Journal on Scientific Computing, 2016), 'Numerical simulation of wave propagation in inhomogeneous media using Generalized Plane Waves' (ESAIM: Mathematical Modelling and Numerical Analysis, 2017), 'Amplitude-based generalized plane waves: New quasi-Trefftz functions for scalar equations in two dimensions' (SIAM Journal on Numerical Analysis, 2021), 'A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients' (Mathematics of Computation, 2023), and 'Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and approximation properties' (IMA Journal of Numerical Analysis, 2025). She has received notable awards, including the Department of Energy Young Investigator Grant in 2024, the Kavli Fellowship, second prize in the Leslie Fox Prize in Numerical Analysis, and the Cathleen Morawetz Fellowship. Imbert-Gerard frequently delivers invited lectures at institutions such as Princeton Plasma Physics Laboratory, SIAM conferences, and the European Congress on Computational Methods in Applied Sciences and Engineering. Her contributions advance computational techniques for partial differential equations, supporting fields like fusion energy research.