Tanya Firsova

Email: tanyaf(at)math(dot)ksu(dot)edu.
Office: 46C

I'm an Assistant Professor at the Mathematics Department at Kansas State University

Research:

I work in one dimensional and multidimensional holomorphic dynamics. I am interested in applying methods of Teichmuller Theory and Multidimensional Complex Analysis to dynamical systems.

Teaching:

MATH723 Complex Analysis

MATH634 Advanced Calculus


Papers:

E.Bedford, T.Firsova, Geometric proof of the $\lambda$-lemma. Annales de la faculté des sciences de Toulouse Sér. 6, 25 no. 1 (2016), p. 1-18 arxiv:1501.04673

T.Firsova, Critical locus for Complex H\'{e}non maps. Indiana Math Journal, v.61 (2012), pp.1603-1641 Arxiv version: arxiv:1102.3924

T.Firsova, Structure of Leaves and the Complex Kupka-Smale Property, Annales de l'Institut Fourier, Volume 65.3(2013), arxiv:1105.2019

T.Firsova, Topology of analytic foliations in $\mathbb C^2$. The Kupka-Smale property. Proceedings of the the Steklov Institute of Mathematics, 2006, Vol.254, pp. 162-180

To appear:

T.Firsova, M.Lyubich, $\lambda$-Lemma for families of Riemann surfaces and the critical loci of complex Henon maps. Conformal Geometry and Dynamics. arxiv:1404.3910

Preprints:

T.Firsova, J.Kahn, N. Selinger, On deformation spaces of quadratic rational functions. arxiv: 1606.00723

T.Firsova, M.Lyubich, R.Radu, R.Tanase, Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of (C2,0) arxiv: 1611.09342

Links:

Mikhail Mazin homepage.

Dynamical Systems page in Stony Brook.

Research partially supported by: NSF grant DMS-1505342.