Solomon Vishkautsan

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 theoryarithmetic/diophantine geometry and dynamical systems.

I was previously a postdoctoral fellow at:

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:
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.

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