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. (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
Chousionis, V., Magnani, V., & Tyson, J. T. (2020). On uniform measures in the Heisenberg group. Advances in Mathematics, 363, Article 106980. https://doi.org/10.1016/j.aim.2020.106980