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

**AFFILIATED E-MAIL:**wishcow at telhai dot ac dot il

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**:

1) Soifer G., **Vishkautsan S.** 2010. “Simultaneous ping-pong partners in PSLn(Z).” *Communications in Algebra* 38: 288-301.

2) **Vishkautsan S.** 2014. “Arithmetic dynamics on smooth cubic surfaces”. *New York J. Math.* 20.

3) **Vishkautsan S.** 2016. “Residual periodicity on the Markoff Surface.” *Naz. Lincei Rend. Lincei Mat. Appl. *27: 25-35.

4) Canci J.K., **Vishkautsan S.** 2017. To appear. “Quadratic maps with a periodic critical point of period 2.” *Int. J. Number Theory. *

5) Canci J.K., **Vishkautsan S.** 2017. To appear. “Scarcity of cycles for rational functions over a number field.” *Trans. Amer. Math. Soc. *

6) **Vishkautsan S.** 2019. “Quadratic rational functions with a rational periodic critical point of period $3$.” *J. Théor. Nombres Bordeaux.* 31.1 (2019): 49-79.

7) Canci J.K., Troncoso S., **Vishkautsan S. **2019. “Scarcity of finite orbits for rational functions over a number field.” *Acta Arith.* 190 (2019), 221-237.

**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.