Peter Miller

Peter Miller is a Professor in the Department of Mathematics at the University of Michigan, Ann Arbor. He holds a Ph.D. in Applied Mathematics from the University of Arizona (1994) and has held academic positions at institutions such as Monash University (Australia) and SAMSI (USA). His research focuses on applied analysis, integrable systems, nonlinear waves, and asymptotic methods. Key areas include the study of Painlevé equations, dispersive shock waves, and Riemann-Hilbert problems. Miller has led the Applied and Interdisciplinary Mathematics graduate program and is an active mentor, overseeing numerous Ph.D. students and postdoctoral researchers.

Education: Ph.D., University of Arizona (1994); M.S., University of Arizona (1991); B.S. (Summa Cum Laude), Southern Methodist University (Mathematical Sciences and Computer Science, 1989).

Research interests span asymptotics of nonlinear waves, random matrix theory, and special functions. His work emphasizes multiscale phenomena and modulation theory in integrable systems. Notable contributions include studies on the semiclassical limit of the nonlinear Schrödinger equation and universality in dispersive hydrodynamics.

Awards include NSF grants (2022, 2018, 2015), a Simons Fellowship (2013), and a Sloan Fellowship (2002). He has delivered plenary lectures at international conferences and authored the textbook Applied Asymptotic Analysis (AMS, 2006).

Teaching responsibilities include graduate courses in applied analysis, integrable systems, and partial differential equations. He has coordinated large undergraduate programs and mentored over 30 students and postdocs. Miller serves on editorial boards for journals like Journal of Nonlinear Science and organizes conferences on dispersive equations and inverse scattering.