SERGIY MERENKOV


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

     Office: 267 Altgeld Hall
    Phone: (217) 244-2479
merenkov@illinois.edu
https://faculty.math.illinois.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
  • M.S. in Mathematics, Kharkov State University, Ukraine
  • 1991-1996
    Thesis Title: On the Cauchy transform of the Bergman space
    Advisor: Anatolii F. Grishin

    Current Research Interests
    Quasiconformal geometry, analysis on metric spaces

    Employment
  • Associate Professor (tenured), City College of New York
  • 2013-present
  • Associate Professor (tenured), University of Illinois at Urbana-Champaign
  • 2012-2014
  • Assistant Professor, University of Illinois at Urbana-Champaign
  • 2006-2012
  • Post-Doc Assistant Professor, University of Michigan
  • 2003-2006
  • Graduate Teaching Assistant, Purdue University
  • 1999-2003

    Visiting Positions
  • The Institute for Mathematical Sciences, Stony Brook, New York
  • Fall 2010
  • Hausdorff Research Institute for Mathematics, Bonn, Germany
  • Fall 2009

    Grants and Awards
  • National Science Foundation Grant, University of Illinois at Urbana-Champaign
    DMS-1001144
  • 2010-2013
  • Beckman Fellow, University of Illinois at Urbana-Champaign
  • 2009-2010
  • 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 and Lectures
  • Quasisymmetric deformations of Sierpinski carpet Julia sets
  • April 2014
    Function Theory Seminar, Purdue University, West Lafayette, Indiana
  • Quasisymmetric maps between Sierpinski carpet Julia sets
  • March 2014
    Complex Analysis and Dynamics Seminar, CUNY, Graduate Center
  • Rigidity of expanding dynamical systems acting on Sierpinski carpets
  • August 2013
    XXII Rolf Nevanlinna Colloquium, University of Helsinki, Finland
  • Uniqueness properties of Schottky maps
  • April 2013
    Complex Analysis and Dynamics Seminar, CUNY, Graduate Center
  • Quasisymmetries of Sierpinski carpet Julia sets
  • April 2013
    Interactions Between Analysis and Geometry Program, IPAM, Los Angeles, California
  • Quasisymmetric rigidity of Sierpinski carpet Julia sets
  • March 2013
    Dynamical Systems Seminar, SUNY, Stony Brook
  • Local rigidity of Schottky maps
  • April 2012
    Dynamics Learning Seminar, SUNY, Stony Brook
  • Quasisymmetric uniformization of surfaces
  • November 2011
    Complex Analysis and Dynamics Seminar, CUNY, Graduate Center
  • Quasiconformal rigidity of Sierpinski carpets
  • August 2011
    Complex Analysis and Its Applications, Kharkov National University, Ukraine
  • Geometric deformations of relative Schottky sets
  • April 2011
    Analysis Seminar, UCLA
  • Rigidity of relative Schottky sets
  • December 2010
    Complex Analysis and Dynamics Seminar, CUNY, Graduate Center
  • Quasisymmetric uniformization of Ahlfors regular surfaces
  • October 2010
    1062nd AMS Meeting, Syracuse University, New York
  • Schramm's transboundary extremal length and its applications
  • September 2010
    Mini Course, SUNY, Stony Brook
  • Quasisymmetric Koebe theorem
  • May 2010
    Barrett Memorial Lectures, University of Tennessee, Knoxville
  • Quasisymmetric Koebe uniformization
  • April 2010
    1059th AMS Meeting, University of New Mexico, Albuquerque
  • Quasisymmetric deformations of relative Schottky sets
  • March 2010
    Dynamical Systems Seminar, SUNY, Stony Brook
  • Differentiability properties of quasisymmetric maps between relative Schottky sets
  • January 2010
    Function Theory Seminar, Purdue University, West Lafayette, Indiana
  • The quasi-isometric co-Hopfian property of a Gromov hyperbolic space with the Sierpinski carpet boundary
  • December 2009
    Differential Geometry Seminar, Max Planck Institute, Bonn, Germany
  • Quasisymmetric properties of slit Sierpinski carpets
  • October 2009
    Geometric Function Theory Seminar, University of Helsinki, Finland
  • Quasi-isometric co-Hopficity for non-topological reasons
  • May 2009
    Geometry/Topology Seminar, University of California, Davis
  • Quasisymmetric deformations of Sierpinski carpets
  • December 2008
    Colloquium, Michigan State University, East Lansing
  • 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 Sierpinski carpets
  • July 2006
    Dynachat Seminar, Montana State University, Bozeman
  • Rigidity for quasisymmetric maps of Sierpinski carpets
  • November 2005
    Dynamics and Global Analysis Seminar, University of Chicago
  • Quasisymmetric maps of Sierpinski 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