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I am an Assistant 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. 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
Algebraic Geometry.
All math seminars at 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
Selected Publications and Preprints
Exotic Smooth Structures on Small 4-Manifolds with Odd Signatures ,
with D. Park (Invent. Math., 181 (2010), no. 3, 577-603)..
Abstract: Let M be CP^2#2(-CP)^2, CP^2#4(-CP)^2, 3CP^2#4(-CP^2) or (2n-1)CP^2#2n(-CP)^2 for any
integer n > 3. We construct first irreducible symplectic 4-manifold homeomorphic to M and also an infinite family
of pairwise non-diffeomorphic irreducible non-symplectic 4-manifolds homeomorphic to M. We also construct such exotic smooth
structures when M is 3CP^2#k(-CP)^2 for k = 6; 8; 10.
Exotic Smooth Structures on Small 4-Manifolds,
with D. Park (Invent. Math., 173 (2008), no. 1, 209-223).
Abstract: Let M be CP^2#3(-CP)^2 or 3CP^2#5(-CP^2). We construct first irreducible symplectic 4-manifold homeomorphic but non-diffeomorphic to M.
Small Exotic 4-Manifolds, Algebraic and Geometric Topology (2008), no. 8, 1781-1794
Abstract: We construct the first example of a simply-connected minimal symplectic 4-manifold that is homeomorphic
but not diffeomorphic to 3CP^2 #7(-CP^2). We also construct the first exotic minimal symplectic CP^2#5(-CP)^2.
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).
Abstract: We construct infinitely many distinct simply connected Stein fillings of a certain infinite family of contact 3 manifolds. This settles the existence of exotic Stein fillings.
Photos
Conferences
MSN
Languages
CNN
NYT
RIA
Azerbaijan International
GOO
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