Contact Information
1409 W. Green Street
Urbana, Illinois 61801
Research Interests
Several complex variables, differential geometry, partial differenital equations.
Additional Campus Affiliations
Professor, Mathematics
External Links
Recent Publications
Loo, Y. J., & Tumanov, A. (Accepted/In press). Hölder regularity of the ∂ ¯ − equation on the polydisc. Complex Variables and Elliptic Equations. https://doi.org/10.1080/17476933.2025.2598773
Shabat, G., & Tumanov, A. (2025). NON-LINEAR LIE GROUPS THAT CAN BE REALIZED AS AUTOMORPHISM GROUPS OF BOUNDED DOMAINS. Proceedings of the American Mathematical Society, 153(7), 2933-2938. https://doi.org/10.1090/proc/17241
Baracco, L., & Tumanov, A. (2020). A note on the closed range of ∂¯ b on q-convex manifolds. Complex Analysis and its Synergies, 6(2), Article 14. https://doi.org/10.1007/s40627-020-00053-w
Tumanov, A. (2020). Scarcity of Periodic Orbits in Outer Billiards. Journal of Geometric Analysis, 30(3), 2479-2490. https://doi.org/10.1007/s12220-017-9927-8
Tumanov, A. (2020). Stationary discs and finite jet determination for CR mappings in higher codimension. Advances in Mathematics, 371, Article 107254. https://doi.org/10.1016/j.aim.2020.107254