Skip to main content

Richard S. Laugesen

Profile picture for Richard S. Laugesen

Contact Information

Department of Mathematics
376 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Associate Chair for Faculty


I am a professor in the Department of Mathematics, and served as Director of Graduate Studies in Mathematics (2012-2017), Associate Chair for Faculty (2021-2024), and Director of the Internship Network in the Mathematical Sciences (INMAS). 

Research Interests

Differential equations, mathematical physics and complex analysis, with specialization in extremal problems.


Ph.D. Mathematics, Washington University in St. Louis, 1993


NSF award #2246537 "Spectral Shape Optimization: Extremality and Curvature", 2023-2026
NSF award #2015431 "INMAS - Internship Network in the Mathematical Sciences", 2020-2025
NSF award #1345032 "PI4: Program for Interdisciplinary and Industrial Internships at Illinois" (co-PI), 2014-2019
Simons Foundation Collaboration Grant #964018, 2022-2027
Simons Foundation Collaboration Grant #429422, 2016-2022
Simons Foundation Collaboration Grant #204296, 2011-2016
Sloan Foundation award "Making way for a New Generation in STEM: A Proposal for The Illinois Sloan University Center of Exemplary Mentoring" (co-PI), 2015-2018
NSF award #0751046 "Special Meeting: Illinois/Missouri Applied Harmonic Analysis Seminars"
NSF award #0140481 "Wavelet Frames and Bases, and Fourth Order Thin Film Eigenproblems"

Awards and Honors

Campus Award for Excellence in Graduate and Professional Teaching, University of Illinois, 2017
Distinguished Teaching Award for Tenured Faculty, Mathematics Department, University of Illinois, 2016
Campus Award for Excellence in Undergraduate Teaching, University of Illinois, 2003
Dean's Award for Excellence in Undergraduate Teaching, College of Liberal Arts and Sciences, University of Illinois, 2003

Additional Campus Affiliations

Professor, Mathematics
Associate Chair for Faculty, Mathematics

Highlighted Publications

Laugesen, R. S., Levy, R., & Santosa, F. (2018). BIG Jobs Guide: Business, Industry, and Government Careers for Mathematical Scientists, Statisticians, and Operations Researchers. Society for Industrial and Applied Mathematics Publications.

View all publications on Illinois Experts

Recent Publications

Langford, J. J., & Laugesen, R. S. (2023). Maximizers beyond the hemisphere for the second Neumann eigenvalue. Mathematische Annalen, 386(3-4), 2255-2281.

Langford, J. J., & Laugesen, R. S. (Accepted/In press). Maximizing the Second Robin Eigenvalue of Simply Connected Curved Membranes. Computational Methods and Function Theory.

Langford, J. J., & Laugesen, R. S. (2023). Scaling inequalities for spherical and hyperbolic eigenvalues. Journal of Spectral Theory, 13(1), 263-296.

Freitas, P., & Laugesen, R. S. (2022). Two balls maximize the third Neumann eigenvalue in hyperbolic space. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 23(3), 1325-1355.

Laugesen, R. S. (2022). Minimizing capacity among linear images of rotationally invariant conductors. Analysis and Mathematical Physics, 12(1), Article 21.

View all publications on Illinois Experts