Contact Information
376 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Biography
I am a professor in the Department of Mathematics, and served as Director of Graduate Studies in Mathematics (2012-2017) and Associate Chair for Faculty (2021-2024).
Research Interests
Differential equations, mathematical physics and complex analysis, with specialization in extremal problems.
Education
Ph.D. Mathematics, Washington University in St. Louis, 1993
Grants
NSF award #2246537 "Spectral Shape Optimization: Extremality and Curvature", 2023-2026
NSF award #2015431 "Inmas - Internship Network in the Mathematical Sciences", 2020-2023
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
External Links
Honors & Awards
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
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.
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. https://doi.org/10.1007/s00208-022-02455-z
Langford, J. J., & Laugesen, R. S. (Accepted/In press). Maximizing the Second Robin Eigenvalue of Simply Connected Curved Membranes. Computational Methods and Function Theory. https://doi.org/10.1007/s40315-023-00516-1
Langford, J. J., & Laugesen, R. S. (2023). Scaling inequalities for spherical and hyperbolic eigenvalues. Journal of Spectral Theory, 13(1), 263-296. https://doi.org/10.4171/JST/447
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. https://doi.org/10.2422/2036-2145.202010_059
Laugesen, R. S. (2022). Minimizing capacity among linear images of rotationally invariant conductors. Analysis and Mathematical Physics, 12(1), Article 21. https://doi.org/10.1007/s13324-021-00636-8
