**E-MAIL:**wishcow at gmail dot com

**AFFILIATED E-MAIL:**solomon dot vishkautsan at uni-bayreuth dot de

My name is Soli (Solomon) Vishkautsan, and since October 2017 I am a lecturer at Tel-Hai Academic College, Israel. I am attached to the Mathematics Unit, which is part of the Department of Computer Science.

My main topic of research *Arithmetic Dynamics*, which is a savory blend of **number theory**, **arithmetic/diophantine**** geometry** and **dynamical systems**.

I was previously a postdoctoral fellow at:

- The University of Bayreuth, under the supervision of Prof. Michael Stoll, supported by a fellowship from the Minerva foundation.
- The Scuola Normale Superiore di Pisa, under the supervision of Prof. Umberto Zannier, as part of the ERC-Advanced Grant “Diophantine problems”.
- In Ben-Gurion University, under Dmitry Kerner and Ilya Tyomkin.

I received my PhD in mathematics from Bar-Ilan University in June 2013. My PhD supervisors were Prof. Boris Kunyavskii and Prof. Tatiana Bandman.

**PUBLICATIONS**:

- Scarcity of cycles for rational functions over a number field. (with

Jung Kyu Canci.) to appear in: Trans. Amer. Math. Soc. (preperint arXiv:1604.03965). - Quadratic maps with a periodic critical point of period 2. (with J.K. Canci.) to appear in: Int. J. Number Theory. (preprint arXiv:1510.04726).
- Residual periodicity on the Markoff surface, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., Vol.
**27**(2016), pp. 25-35. (preprint arXiv:1504.07099v1). - Arithmetic dynamics on smooth cubic surfaces,
*New York J. Math.*20 (2014), 1–25, http://nyjm.albany.edu/j/2014/20-1.html - Simultaneous Ping-Pong Partners in PSL
_{n}(ℤ). (with G. Soifer.)*Communications in Algebra 38*(2010) 288-301

**PhD THESIS:**

- PhD Thesis: “Residual periodicity on algebraic varieties“, 2013

**SLIDES FOR SOME OF MY TALKS**:

- “Residual periodicity on algebraic varieties” (slides)

**CODE**:

- Supporting Magma™ code for the article “Arithmetic dynamics on smooth cubic surfaces”: Download.