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Professional Address:
Kurtulusderesi Cad., 47, Dolapdere, 34440
Phone:
+90 212 311 54 16,
e-mail: ratiu@bilgi.edu.tr,
EMPLOYMENT HISTORY
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1998 – Assistant Professor,
Department of Mathematics,
1997– 1998 Lecturer,
1995 – 1997
Assistant,
1990 – 1991 Research Assistant ,
RESEARCH FIELDS
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Knots, low dimensional topology and
hyperbolic geometry, dynamical systems and billiards, geometric measure theory.
EDUCATION
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1991–1996 Ph. D Thesis
in Mathematics (Knots theory),
Title: “The Jones-Witten invariants
of tree manifolds”,
Supervisor: Prof.
Pierre Vogel
1984– 1988 BSc in Mathematics, Department of
Mathematics,
1988– 1989 MSc in Mathematics, Department of
Mathematics,
DEGREES AND PRIZES
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1998 Assistant Professor Degree,
Nov 1996 Ph. D. in Mathematics, Knot theory, Paris
7 University, France
June 1989 Specialization Degree in
Geometry and Algebra, Department of
Mathematics, University of
Bucharest, Romania.
June 1988 Graduation in
Mathematics, Department of Mathematics,
1983 Third Prize at the International Mathematical Olympiad (IMO),
TEACHING
EXPERIENCE
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1998 – Assistant Professor at
Courses: Complex Analysis, General
Topology, Algebraic Topology,
Differential Geometry, Algebraic
Curves, Ordinary
Differential Equations,
Measure Theory, Partial
Differential Equations, Discrete
Mathematics, Automata and Formal Language Theory, Calculus,
Linear Algebra and Analytic
Geometry.
2005 – International Mathematical
Olympiad Coaching: training of gifted high school
students for the
qualification in the Turkish national
team.
2003 – 2004 Graduate course on Algebraic
Topology at
2002 – 2005 PhD
thesis supervisor.
Thesis of Ali
Deniz, in
Title:
“The Study of the Trajectories of Certain Classes of Billiards” (“Çeşitli
Bilardo Sınıflarındaki Yörüngelerin İncelenmesi”, in Turkish)
2000 – 2001 Master Thesis supervisor of
Ali Deniz, in
1998 – 2001 Lectures on
Hyperbolic Geometry and
Topological Quantum Field
Theory for Master and Ph.D students
at Anadolu University,
Eskişehir.
1997 – 1998 Lecturer at
1995 – 1997
Assistant at
1995 – 1996
Lectures on
Differential Topology (Morse
Theory),
Department of
Mathematics,
1993 – 1995 Calculus on
Differentiable Manifolds, class
sessions,
Department of Mathematics,
1993 – 1994
Lectures on
Curves and Surfaces (in
French),
Department of Mathematics,
1990 – 1991
Calculus on
differentiable manifolds, class
sessions,
Department of Mathematics,
1989 – 1990
Mathematics Teacher,
WORKSHOPS
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2004 Participating
to the International Conference on Topology and Geometry,
Gökova.
2001 Workshop
on Resolution of Singularities,
Feza Gürsey
Institute and
1998 Workshop
on Möbius Transformations,
1997 Workshop
on Topological Quantum Field Theories,
Feza Gürsey
Institute, TÜBİTAK,
1992 – 1997
Workshop on Knot Theory,
1993 – 1996
Workshop on Quantum Groups, Knot Theory and Topological Invariants,
ADMINISTRATIVE ACTIVITIES
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2006 – Coordinator
of the Financial Mathematics Program at
2001 – 2006 Deputy Chairman of the Mathematics
Department at
2002 Organizing
the International Conference on Hilbert-
Smith Conjecture,
2002– Organizing the annual
Mathematics Competition for high school students “Cahit Arf Mathematical Days”,
in
2002 – 2003 Designing the curriculum of and building up a new undergraduate
programme of Financial Mathematics at Istanbul Bilgi University (together with
Vladimir Tolstykh).
1999 – 2001
Organizing
the weekly Mathematical Colloquium of Istanbul Bilgi University.
1998 Organizing
the Workshop on Möbius Transformations,
1997 Organizing
the Workshop on topological quantum field theories,
Feza Gürsey
Institute, TÜBİTAK,
ARTICLES AND WORKS
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1)
On
certain classes of triangular and quadrilateral projective billiards, (“Bazı
üçgensel ve dörtgensel projektif bilardo sınıfları üzere”, in collaboration
with Ali DENİZ)- submitted
2)
A
notion of robustness and stability of manifolds, (in collaboration with Şahin
KOÇAK and Ali DENİZ), J. Math. Anal. Appl., 342 (2008), pp. 524-533
3)
Chaos
for n-dimensional Euclidean and
Hyperbolic Open Billiards and Spinning Plane Billiards, 2005
(in collaboration with
Şahin KOÇAK, James A. YORKE, Judy KENNEDY and
4)
On
the Volumes of Ideal Polytopes in the Hyperbolic Space ( “Hiperbolik uzayda
bazı ideal çökyüzlerin hacimleri üzerine”, together with
Anadolu Üniversitesi Bilim ve Teknoloji
Dergisi, 3(2002), pp. 369-377
5)
The Jones- Witten
invariants of tree
manifolds
Ph. D. thesis, Paris 7 University—November 1996.
6)
Les invariants
des espaces lenticulaires
Bull. Soc. Math.
7)
The completion
of the hyperbolic
structures on the
complement of the
Whitehead link, specialization thesis (in
Romanian), University of
Bucharest, 1989.
8)
Hyperbolic structures
on the complement
of the Whitehead
link, graduation thesis (in
Romanian), University of
Bucharest, 1988.
ARTICLES ON POPULAR MATHEMATICS
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1)
Solutions
of the problems given in the competition Cahit Arf Mathematical Days VI-2007, Matematik Dünyası, 2007-III, pp. 84-87
2)
The
Fibonacci and Lucas Polynomials, Matematik
Dünyası, 2006-III, pp. 92-96
3)
The
Cassini Curves and the Lemniscate, Matematik
Dünyası, 2005-III, pp. 38-42
4)
Consequences
of Poncelet’s Theorems, Matematik Dünyası,
2005-III, pp. 21-24
5)
The
Hilbert Metric, Matematik Dünyası,
2005-II, pp. 78-82
6)
The
Director Circles and the Tangents of the Ellipse; Poncelet’s Theorems and more,
Matematik Dünyası, 2005-II, pp. 45-53
(in collaboration with Selçuk Demir)
LANGUAGES
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English, French, Romanian,
Turkish.