Anar Akhmedov's Homepage
Anar Akhmedov

Associate Professor of Mathematics

School of Mathematics
University of Minnesota
Office:  Vincent Hall, Room 355,
Office Phone: 612-624-5224
Email: akhmedov@math.umn.edu
I am an Associate Professor in the Department of Mathematics at University of Minnesota. Before joining the University of Minnesota, I was a Visiting Assistant Professor at Georgia Tech and University of Zurich from 2006 - 2008, then a Ritt Assistant Professor at Columbia University from 2008-2009. I have also held Visiting Professor position at University of Vienna , Austria (Summer 2012). My research interests are low-dimensional topology, smooth 4-manifolds, and symplectic topology. I am also interested in algebraic geometry.
Seminars: Differential Geometry and Symplectic Topology, Topology, and other math seminars at University of Minnesota


Workshop on Topology and Invariants of 4-Manifolds
August 23 to August 27, 2014
Simons Center for Geometry and Physics
Workshop and Conference on the Topology and Invariants of Smooth 4-Manifolds
July 31 to August 10, 2013
University of Minnesota
Workshop and Conference on Holomorphic Curves and Low Dimensional Topology
July 30 to August 11, 2012
Stanford University
Fifth Yamabe Symposium

Papers and Preprints
Teaching
CV
Current Ph.D. Students


Selected Publications and Preprints

  • Exotic Stein fillings with arbitrary fundamental group, with B. Ozbagci, this article is in preprint form, and contains the following results: (i) for any finitely presentable group G, the existence of an isolated complex surface singularity link which admits infinitely many exotic Stein fillings with the fundamental group isomorphic to G; (ii) construction of an infinite family of exotic non-holomorphic Lefschetz fibrations over the two-sphere with the fundamental group G.
  • Reducible smooth structures on 4-manifolds with zero signature, with M. Ishida, and D. Park, Journal of Topology, 7 (2014), no. 3, 607-616.
  • Symplectic Calabi-Yau 6-Manifolds, Advances in Mathematics, 262 (2014), 115-125.
  • Geography of Simply Connected Spin Symplectic 4-Manifolds , with B. D. Park, Math. Res. Letters, 17 (2010), no. 3, 483-492.
  • Exotic Smooth Structures on Small 4-Manifolds with Odd Signatures , with D. Park (Invent. Math., 181 (2010), no. 3, 577-603).
  • Exotic Smooth Structures on Small 4-Manifolds, with D. Park (Invent. Math., 173 (2008), no. 1, 209-223).
  • Small Exotic 4-Manifolds, Algebraic and Geometric Topology (2008), no. 8, 1781-1794
  • A Note on Stein Fillings of Contact Manifolds , with J. Etnyre, T. Mark, and I. Smith (Math. Res. Letters, 15 (2008), no. 6, 127-133).


  • Slides from Conference and Seminar Talks

  • Exotic Lefschetz Fibrations and Stein Fillings with Arbitrary Fundamental Groups (at UMN, ESI (Vienna), UT Austin, Miami, Gokova)

  • Exotic Smooth Structures on 4-Manifolds (at UMN, Vienna, Stanford, Caltech, NDSU, MSU, Brandeis, UCI, Purdue, Columbia, Gokova, Zurich, Berkeley, Yale)


  • Family Photos    My brother Azer  
  • How to reject any Scientific Manuscript very interesting article by Dieter Gernert of Technische Universitaet Muenchen.   

  • Defining Plagiarism and Academic Integrity A link from Penn State on plagiarism and academic integrity  

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