Contact Information
273 Altgeld Hall
1409 W Green Street (MC-382)
Urbana, IL 61801
Research Areas
Biography
I am Professor of Mathematics and serve as Department Chair. I am a faculty affiliate of the Computational Science and Engineering program. Also I am a program faculty member of the Graduate Program of Mathematics for Innovation at Kyushu University in Japan.
Research Interests
Applied Mathematics Differential Equations Fluid Dynamics Physical Oceanography Climate Science
Research Description
My research draws from rigorous analysis, numerical computation, and modeling, to deepen our understanding of the mathematics of surface water waves and other related problems. They include physical oceanography and geophysical fluid dynamics. My projects emphasize large scale dynamics and genuinely nonlinear behaviors, such as breaking and peaking.
I co-organized LMS-Bath Symposium New Directions in Water Waves, Summer School and Workshop.
Recently, I have interests in machine learning applications to climate change and other disciplines.
I co-organized IMSI Long Program Confronting Global Climate Change.
Education
PhD, Brown University, 2006
Grants
DPI R&D Science Team Seed Grant, Midwestern Climate and Weather Prediction (co-PI), since 2021
NSF DMS, Applied Mathematics, 2009981, since 2020
Awards and Honors
4th IMA Conference on Nonlinearity and Coherent Structures, Invited Plenary Address, 2021
University of Illinois, LAS, Fellow in a Second Discipline, 2020
University of Illinois, Distinguished Promotion Award, 2019
University of Illinois, Center for Advanced Study, Associate, 2019; Beckman Fellow, 2014
University of Illinois, LAS, Brad and Karen Smith Professorial Scholar, 2018
University of Illinois, Philippe Tondeur Scholar in Mathematics, 2016
Simons Fellow in Mathematics, 2016
University of Illinois, Arnold O. Beckman Research Award, 2014, 2016
AMS Sectional Meeting, Invited Plenary Hour Address, 2015
NSF CAREER Award, 2014
Alfred P. Sloan Research Fellowship, 2012
Additional Campus Affiliations
Chair, Mathematics
Professor, Mathematics
External Links
Recent Publications
Barker, B., Bronski, J. C., Hur, V. M., & Yang, Z. (2025). Asymptotic stability of sharp fronts: Analysis and rigorous computation. Journal of Differential Equations, 444, Article 113550. https://doi.org/10.1016/j.jde.2025.113550
Bronski, J. C., Hur, V. M., & Lee Wester, S. (2023). Superharmonic instability for regularized long-wave models. Nonlinearity, 36(1), 133-170. https://doi.org/10.1088/1361-6544/ac81ae
Dyachenko, S. A., Hur, V. M., & Silantyev, D. A. (2023). Almost extreme waves. Journal of Fluid Mechanics, 955, Article 955 A17. https://doi.org/10.1017/jfm.2022.1047
Hur, V. M., & Yang, Z. (2023). Unstable Stokes Waves. Archive for Rational Mechanics and Analysis, 247(4), Article 62. https://doi.org/10.1007/s00205-023-01889-2
Luo, D., Chen, Z., Hu, K., Zhao, Z., Hur, V. M., & Clark, B. K. (2023). Gauge-invariant and anyonic-symmetric autoregressive neural network for quantum lattice models. Physical Review Research, 5(1), Article 013216. https://doi.org/10.1103/PhysRevResearch.5.013216