My main research interests are
low dimensional topology, symplectic and contact geometry and topology,
Heegaard Floer homology.
Here are my preprints, papers, dissertation and thesis.
Examples of planar tight contact structures with support norm one
(with
Yankı Lekili)
Partial
open book decompositions and the contact class in sutured Floer
homology (with
Burak
Ozbagci),
Turkish Journal of
Mathematics 33 (2009),
295-312.
On
the contact Ozsvath-Szabo invariant
(with
Burak
Ozbagci),
Studia Scientiarum
Mathematicarum Hungarica (to
appear)
Elliptic
open books on torus bundles over the circle,
Geometriae Dedicata
132
(2008), 53-63.
Explicit
horizontal open books on some plumbings (with
Burak
Ozbagci),
International
Journal of Mathematics 17
(2006), 1013-1031.
Symplectic and Lagrangian surfaces in 4-manifolds,
Rocky Mountain Journal
of Mathematics 38 (2008),
1975-1989.
A
note on fundamental groups of symplectic torus complements in
four-manifolds (with B.
Doug Park),
Journal of Knot Theory
and Its Ramifications 17
(2008), 1063-1075.
Lagrangian
tori in homotopy elliptic surfaces (with David McKinnon
and B.
Doug Park),
Transactions of the American
Mathematical Society 357 (2005),
3757-3774.
Symplectic
tori
in rational elliptic surfaces (with B. Doug Park).
Mathematische Annalen 334 (2006), 679-691.
Homologous
non-isotopic symplectic tori in homotopy rational elliptic surfaces
(with B.
Doug Park),
Mathematical
Proceedings of the Cambridge
Philosophical Society
140 (2006), 71-78.
Homologous
non-isotopic
symplectic tori in a K3-surface (with B.
Doug Park),
Communications in
Contemporary Mathematics
7
(2005), 325-340.
Non-isotopic symplectic tori in the same homology class (with
B.
Doug Park),
Transactions
of the American
Mathematical Society 356
(2004), 3739-3750.
A note on the
geometry of M3 and symplectic structures on S1
x
M3,
Acta
Mathematica Hungarica
114
(2007), 195-199.
Lefschetz
fibrations, complex structures and Seifert fibrations on S1
x
M3,
Algebraic and
Geometric Topology 1 (2001), 469-489.
Symplectic structures on product 4-manifolds,
Ph.D.
dissertation, University of
California at Berkeley,
2002. (advisor: Robion C. Kirby)
Seiberg-Witten
invariants of Kähler surfaces,
M.Sc. thesis,
Middle East Technical University,
1997. (advisor: Turgut Önder)
Recent Teaching:
Spring
2009: Math
302 -
Real Analysis
II
Fall
2008:
Math 102 - Calculus
Math
301 - Real Analysis
I
Spring
2008: Math 302 - Real Analysis
II
Math
402 - Topology
Fall
2007:
Math 204 -
Differential Equations Math
301 - Real Analysis
I