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 positions at University of Vienna, Austria and at Harvard University as Simons Fellow . 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), Simons Foundation and Alexander von Humboldt Foundation.
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
Fifth Yamabe Symposium
Selected Publications and Preprints
Geography of simply connected spin symplectic 4-manifolds, II
with D. Park, Comptes Rendus Mathematique, 357(3), 296-298. (2019).
Deformation of singular fibers of genus two fibrations and small exotic symplectic 4
with S. Sakalli, International Journal of Mathematics, Vol. 30, No. 03, 2019.
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)
My brother Azer