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Office
TB260-B
Tel:
+90 212 359 6532
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I work on contact
topology,
singularity
theory, real
algebraic topology
and dynamical
systems in robotics.
A detailed curriculum
vitæ can be
found here.
We hold the Geometry/Topology Seminars in the year 2024-2025.
a list of
publications on the arXiv;
and more here:
Generalised
Thurston-Bennequin invariants of real algebraic surface
singularities,
Manuscripta
Mathematica 117 (2005) no3 273–298
Brieskorn
manifolds as contact branched covers of spheres, with K.
Niederkrüger,
Periodica
Mathematica Hungarica 54 (2007) no1 85–97
Klein
geometries, parabolic geometries and differential equations of
finite type, with E. Abadoğlu and E. Ortaçgil,
Journal
of Lie Theory 18 (2008) 67–82
There
is a unique real tight contact 3-ball, with N. Salepci,
Int
Math Res Notices Vol. 2011 1573-1596
A
real open book not fillable by a real Lefschetz fibration with N.
Salepci,
Int J Math,
Volume 25, Issue 04, April 2014
Real
open books and real contact structures, with N. Salepci,
Advances
in Geometry, Volume 15, Issue 4 (Oct 2015)
Sequential
gradient dynamics in real analytic Morse systems, with H.I.
Bozma,
Dynamical
Systems, 2017, vol. 32, no. 2, 187-197
Finding
optimal isomorphic goal adjacency, with D. Şenel and H.I. Bozma,
IEEE International Conference on
Robotics and Automation, 2016
Contact structures on AR-singularity links, with Ç. Karakurt,
Int J Math, Volume 29, Issue 3, 1850019
(2018)
Morse-Bott functions on orthogonal groups, with H.I. Bozma and W.D Gillam,
Topology Appl. 265 (2019), 106807
Every real 3-manifold is real contact, with M. Cengiz,
J Sympl Geom, Volume 20, Number 6, 1313-1347, 2022
Real tight contact structures on lens spaces and surface singularities, with S. Onaran,
J Topology and Analysis, Volume 17, Number 01, 189-217, 2025
Real algebraic overtwisted contact structures on 3-spheres, with Ş. Karadereli,
to appear in Algeb Geom Top
An exotic 5RP2 in the 4-sphere with G. Matić, J. Reyes, A. Stipsicz, G. Urzúa,
to appear in Michigan Math Journal
My preprints
here:
Subdividing triangles with \pi-commensurable angles, with Hasan Korkmaz
A list of integer-angled triangles with no integer-angled subdivision.
Optimal
multirobot task adjacency assignment, with Deniz Şenel and H. Işıl
Bozma
Group
extensions in second order jet group, with B. Gürel and E.
Ortaçgil, permanent
preprint
Lectures and Notes:
Here
are:
Spring 2025 - Advanced Calculus II
the notes (in Turkish) of my course entitled "Projective Geometry" based on a course given in Boğaziçi Math Department in 2010.
the notes (in Turkish)
of my course entitled "Morse
Theory"
given in the Nesin
Mathematics Village, İzmir in 2009.
(Thanks to Sina Türeli who took these notes).
(Past) students:
PhD:
Merve
Seyhun Cengiz, 2018, Real Contact 3-manifolds Through Surgery
Şeyma Karadereli, Algebraic Splicing and Overtwisted Structures
Turan Karakurt, Morse-Bott Functions on Classical Groups
Master:
Yasemin
Kara, 2006, Cohomology Groups of Mapping Class Groups
Murat
Sağlam, 2007, Proof of the Weinstein conjecture for Overtwisted
Closed Contact 3-manifolds
Semih Özlem, 2008, First steps
into Heegard Floer Homology
Yusuf Gören, 2010, Indices of
Orbits in Contact Homology
Sinan Eden, 2011, Pseudo-Anosov
Diffeomorphisms and the Monodromy of an Open Book
Metin
Özsarfati, 2011, Denseness of Morse-Smale Systems on
Surfaces
Mustafa Cengiz, 2013, Milnor Open Books and Milnor
Fillable Contact Structures
Erman Çineli, 2015, Correspondence
Theorem in Tropical Geometry
Şeyma Karadereli, 2020, Algebraic Overtwisted Contact Structures on Unit 3-Sphere
Cem Yalım Özel, 2024, Broken Book Decompositions and Periodic Reeb Orbits
