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
Awards and Honors
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
Additional Campus Affiliations
Professor, Mathematics
External Links
Recent Publications
Chrontsios-Garitsis, E. K., & Tyson, J. T. (2026). On the Assouad spectrum of Hölder and Sobolev graphs. Mathematical Proceedings of the Cambridge Philosophical Society, 180(1), 105-131. https://doi.org/10.1017/S0305004125101527
Fraser, J. M., & Tyson, J. T. (2026). Sobolev and quasiconformal distortion of intermediate dimension with applications to conformal dimension. Journal of the London Mathematical Society, 113(2), Article e70445. https://doi.org/10.1112/jlms.70445
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