Anar Akhmedov's Homepage
Anar Akhmedov

School of Mathematics
University of Minnesota
Office:  Vincent Hall, Room 355,
Office Phone: 612-624-5224
Email: akhmedov@math.umn.edu
I am a Professor in the School 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, Summer 2013). My research interests are low-dimensional topology, smooth 4-manifolds, and symplectic topology. I am also interested in algebraic geometry.
I gratefully acknowledge the supports received from the Alfred P. Sloan Foundation, The National Science Foundation (NSF DMS: 1005741, NSF FRG DMS-1065955), and Simons Foundation. During the academic year 2018-19, I will be on my sabbatical leave at the Department of Mathematics, Harvard Univerisity, which will be supported by Simons Foundation and University of Minnesota.
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
Ph.D. Students


Selected Publications and Preprints

  • Exotic Stein fillings with arbitrary fundamental group, with B. Ozbagci, Geometry Dedicata, (2017).
  • Constructing Lefschetz fibrations via daisy substitutions, with Naoyuki Monden, Kyoto Journal of Mathematics Math. 56 Number 3 (2016), 501-529.
  • Dissolving 4-manifolds, covering spaces and Yamabe invariant, with M. Ishida, and D. Park, Ann Glob Anal Geom, 47 (2015), 271-83.
  • 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)


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