Solomon Vishkautsan

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 September 2016 I am a postdoctoral fellow at the University of Bayreuth, under the supervision of Prof. Michael Stoll, supported by a fellowship from the Minerva foundation.

My main topic of research Arithmetic Dynamics, which is a savory blend of number theoryarithmetic geometry and dynamical systems.

I was previously a postdoctoral fellow at the Scuola Normale Superiore di Pisa, under the supervision of Prof. Umberto Zannier, as part of the ERC-Advanced Grant “Diophantine problems”.

During the year 2013-2014 I did a postdoc with Dmitry Kerner and Ilya Tyomkin in Ben-Gurion University, about computation of invariants of hypersurface singularities.

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 PSLn(ℤ). (with G. Soifer.) Communications in Algebra 38 (2010) 288-301
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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