SERGIY MERENKOV


Department of Mathematics
University of Illinois at Urbana-Champaign
1409 W. Green Street
Urbana, IL 61801, USA

 
    Phone: (217) 244-2479
merenkov@uiuc.edu
http://www.math.uiuc.edu/~merenkov/

Education
  • Ph.D., Purdue University
  • 1999-2003
    Thesis Title: Determining biholomorphic type of a manifold using combinatorial and algebraic structures
    Advisor: Alexandre Eremenko
  • Graduate School, Kharkov State University, Ukraine
  • 1996-1998
  • B.S. in Mathematics, Kharkov State University, Ukraine
  • 1991-1996
    Thesis Title: The Cauchy transform of the Bergman space
    Advisor: Anatolii F. Grishin

    Research Interests
    Geometric mapping theory, particularly quasiconformal geometry of fractal sets

    Employment
  • Assistant Professor, University of Illinois at Urbana-Champaign
  • 2006-present
  • Post-Doc Assistant Professor, University of Michigan
  • 2003-2006
  • Graduate Teaching Assistant, Purdue University
  • 1999-2003

    Grants and Awards
  • National Science Foundation Grant, University of Illinois at Urbana-Champaign
    DMS-0653439
  • 2007-2010
  • Campus Research Board Grant, University of Illinois at Urbana-Champaign
    Award # 07007
  • 2006-2007
  • National Science Foundation Grant, University of Michigan/University of Illinois at Urbana-Champaign
    DMS-0400636/DMS-0703617
  • 2004-2007
  • Gerald R. MacLane Memorial Award, Purdue University
  • 2000

    Talks Given
  • Relative Schottky sets and quasisymmetric maps
  • May 2008
    Recent Advances in Geometric Function Theory, Syracuse University, New York
  • Conformality of quasisymmetric maps between relative Schottky sets
  • May 2008
    Quasiconformal Mappings and Analysis on Metric Spaces, University of Michigan, Ann Arbor
  • Quasisymmetric rigidity properties of relative Schottky sets
  • April 2008
    1038th AMS Meeting, Indiana University, Bloomington
  • Rigidity of Schottky sets
  • July 2007
    Function Theory Seminar, Purdue University, West Lafayette, Indiana
  • Quasisymmetric maps between relative Schottky sets
  • April 2007
    Geometric Function Theory Seminar, University of Michigan, Ann Arbor
  • Rigidity of Sierpi\'nski carpets
  • July 2006
    Dynachat Seminar, Montana State University, Bozeman
  • Rigidity for quasisymmetric maps of Sierpi\'nski carpets
  • November 2005
    Dynamics and Global Analysis Seminar, University of Chicago
  • Quasisymmetric maps of Sierpi\'nski carpets
  • November 2005
    Analysis Seminar, University of Illinois, Urbana-Champaign
  • Rapidly growing entire functions with three singular values
  • June 2005
    Computational Methods and Function Theory Conference, University of Joensuu, Finland
  • A hyperbolic surface with a square grid net
  • October 2004
    Analysis Seminar, Michigan State University, East Lansing
  • A hyperbolic surface whose net is the square grid
  • March 2004
    995th AMS Meeting, Ohio University, Athens
  • Determining biholomorphic equivalence of manifolds from their semigroups of holomorphic self-maps
  • October 2003
    Third Prairie Analysis Seminar, Kansas State University, Manhattan
  • Conjugating semigroups of holomorphic endomorphisms
  • October 2003
    989th AMS Meeting, University of Colorado, Boulder
  • Doyle's criterion of type and a counterexample to Nevanlinna's conjecture
  • March 2002
    974th AMS Meeting, University of Michigan, Ann Arbor
  • Domains in Cn whose semigroups of analytic endomorphisms are isomorphic
  • October 2001
    Complex Analysis Conference, University of Michigan, Ann Arbor
  • On the Cauchy transform of the Bergman space
  • October 1998
    Function Theory Seminar, Lund University, Sweden

    Professional Membership
    American Mathematical Society 2000-present