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)

Family Photos
My brother Azer

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