Contact Information
273 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Description
Geometric function theory, quasiconformal maps, analysis in nonsmooth metric spaces, sub-Riemannian geometry.
Education
PhD, University of Michigan, 1999
External Links
Honors & Awards
Fellow, American Mathematical Society, 2013
LAS Dean's Award for Excellence in Undergraduate Teaching, 2012
Helen Corley Petit Professorial Scholar, College of LAS, University of Illinois, 2008-2009
Recent Publications
Tyson, J. T. (2025). Polar coordinates in Carnot groups II. In F. Baudoin, & L. Rizzi (Eds.), New Trends in Sub-Riemannian Geometry - AMS-EMS-SMF Special Session Sub-Riemannian Geometry and Interactions, 2022 (pp. 89-101). (Contemporary Mathematics; Vol. 809). American Mathematical Society. https://doi.org/10.1090/conm/809/16203
Chrontsios Garitsis, E. K., & Tyson, J. T. (2023). Quasiconformal distortion of the Assouad spectrum and classification of polynomial spirals. Bulletin of the London Mathematical Society, 55(1), 282-307. https://doi.org/10.1112/blms.12727
Tyson, J. T. (2023). Stability Theorems for H-Type Carnot Groups. Journal of Geometric Analysis, 33(10), Article 329. https://doi.org/10.1007/s12220-023-01359-x
Bonk, M., Capogna, L., Hajłasz, P., Shanmugalingam, N., & Tyson, J. (2020). Analysis in metric spaces. Notices of the American Mathematical Society, 67(2), 253-256. https://doi.org/10.1090/noti2030
Chousionis, V., Tyson, J., & Urbański, M. (2020). Conformal Graph Directed Markov Systems on Carnot Groups. Memoirs of the American Mathematical Society, 266(1291), 1-169. https://doi.org/10.1090/memo/1291