Rate My Professor William Green

William Green is Professor of Mathematics and Associate Department Head in the Department of Mathematics at Rose-Hulman Institute of Technology, where he has served since 2012. He began his academic career as an Assistant Professor at Eastern Illinois University from 2010 to 2012. Green advanced through the ranks at Rose-Hulman, becoming Associate Professor in 2018 and full Professor in 2024. He earned his Ph.D. in Mathematics from the University of Illinois at Urbana-Champaign in 2010 under the supervision of Burak Erdogan, an M.S. from the same institution in 2006, and a B.A. in Mathematics and Physics with a minor in Chemistry from Albion College in 2005. Green organizes the Rose-Hulman Mathematics Seminar, featuring presentations by faculty, visiting professionals, professors, and students. He teaches courses including calculus, differential equations, real and complex analysis, and linear algebra.

Green's research focuses on the analysis of dispersive partial differential equations, with expertise in partial differential equations, harmonic analysis, mathematical physics, time-decay estimates for wave, Schrödinger, and Dirac equations, functional analysis, and wave operators for Schrödinger equations. His publications appear in leading journals such as Advances in Mathematics, Journal of Differential Equations, Communications in Mathematical Physics, and American Journal of Mathematics. Key works include "The L^p-continuity of wave operators for higher order Schrödinger operators" with Burak Erdoğan (Advances in Mathematics, 2022); "Dispersive estimates for Dirac Operators in dimension three with obstructions at threshold energies" with Burak Erdoğan and Ebru Toprak (American Journal of Mathematics, 2019); "On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances" with Ebru Toprak (Journal of Differential Equations, 2019); "Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions" with Burak Erdoğan and Michael Goldberg (Communications in Mathematical Physics, 2019); and "Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues I: the odd dimensional case" with Michael Goldberg (Journal of Functional Analysis, 2015). Green has received the Rose-Hulman Board of Trustees Outstanding Scholar Award (2022), Simons Collaboration Grant (2017-2022), American Mathematical Society Simons Travel Grant (2012-2015), Young Alumni Award from Albion College (2014), and Brahana TA Instructional Award from the University of Illinois (2009).