Tr, Eng
Welcome to YILDIRAY OZAN's Personal Home
Page
Book:
Türevlenebilir Manifoldlara Giriş (Preface)
(Available form Odtüden, Important note: The book is soft cover unlike the picture above suggests.)
Corrections to the first edition as of September 22, 2017
Corrected Symbol List and Index
Courses
2023
Spring Semester
Math
424: Galois
Theory of Covering Spaces and Linear
Differential Equations (Youtube)
(Youtube Video Notes)
Video
Content List
Math
262: Math 262 Linear Algebra
II (Youtube)
Video Content List,
Textbook, Notes
on Canonical Forms
2022
Fall Semester
Math
261: Math 261 Linear Algebra
I (Youtube),
Video Content List,
Textbook
2022
Spring Semester
Math
371: Differential Geometry
(Youtube)
(Youtube Video Notes)
Video Content List
Syllabus
Math
505: Differentiable Manifolds (Youtube)
(Youtube Video Notes)
Video Content List
2021
Fall Semester
Math
341: Graph Theory (Youtube)
(Youtube Video Notes)
Video Content List
Syllabus
Math
401: Probability Theory (Youtube)
(Youtube Video Notes)
Video Content List
Syllabus
2021
Summer
Math
254: Differential Equations
(Youtube)
(Youtube Video Notes)
Video Content List
Math
420: Topology
(Youtube)
(Youtube Video Notes)
Video Content List
2021
Spring Semester
Math
538: Algebraic Topology
II (Youtube)
(Youtube Video Notları) Video Contents
Math
424: Galois Theory of Coverings and Linear
Differential Equations (Youtube)
(Youtube Video Notları) Video Contents
2020
Fall Semester
Math
537: Algebraic Topology
I (Youtube)
(Youtube Video Notları) Video Contents
Math
349: Introduction to
Analysis (Youtube)
(Youtube Video Notları) Video Contents Exercises
Recitation Videos Play List by Sadık Terzi
2020
Spring Semester
Math
709: Differentiable Manifolds
and Vector Bundles (Lecture Notes and Videos)
(Youtube)
(Youtube Video Notes
1-24) (25-36) (37-57) Video
Contents
Math
371: Differential Geometry
(Videos)
(Notes) (Video Lecture Notes)
Research
Interests
Topology of Real
Algebraic Varieties and Symplectic - Contact Topology
Education
History
Bs. METU
Mathematics Dept., 1989
Ph.D. Michigan State
University, 1994
Publications
and Preprints (available upon request)
1. Equivariant Picard Groups of the Moduli
Spaces of Some Finite Abelian Covers of The Riemann
Sphere, Topology and Its Applicaitons, vol. 326, 1March 2023, 108429, https://doi.org/10.1016/j.topol.2023.108429.
2. (Joint with F. Atalan ve E. Medetoğulları) Liftable
homeomorphisms of cyclic and rank two
finite abelian branched covers over the real
projective plane, Topology and Its Applicaitons, vol. 288, February 2021, https://doi.org/10.1016/j.topol.2020.107479.
3. (Joint with F. Atalan ve E. Medetoğulları) Liftable homeomorphisms
of rank two finite abelian branched covers, Archiv der Mathematik, 116 (2021), 37–48, doi: https://doi.org/10.1007/s00013-020-01501-z.
4. (Aram Bingham ve Mahir
Bilen Can ile ortak) A Filtration on Equivairant Borel-Moore Homology,
Forum Math. Sigma 7 (2019), e18, 13 pp.
5. On Cohomology of Invariant Submanifolds of Hamiltonian Actions, Michigan Math. J. 53 (2005), no. 3, 579-584.
6. Relative Flux
Homomorphism in Symplectic Geometry, Proc. Amer.
Math. Soc.
133 (2005),
no. 4, 1223-1230.
7. On Homotopy
Groups of Real Algebraic Varieties and Their
Complexifications, Geom. Dedicata, 108
(2004), no.1, 131-140.
8. Relative Topology
of Real Algebraic Varieities
in Their Complexifications,
Pacific J. Math. 217 (2004), no. 2, 291-302.
9. On Algebraic
K-Theory of Real Algebraic Varieties, J. Pure and Appl. Algebra
170 (2002), no. 2-3, 287-293.
10. On Entire Rational Maps of Real Surfaces, J. Korean Math. Soc. 39 (2002), no. 1, 77-89.
11. On Homology
of Real Algebraic Sets, Proc. Amer. Math. Soc.
129 (2001), no. 11, 3167-3175.
12. (Arzu Çelikten’le
ortak), An Obstruction to Finding Algebraic Models for Smooth
Manifolds with Prescribed Algebraic Submanifolds, Math. Proc.
Cambridge Philos. Soc.
130 (2001),
no. 2, 281-286.
13. Homology of Real Algebraic
Fiber Bundles Having Circle as Fiber or Base, Michigan
Math. Journal, 46 (1999), 113-121.
14. Characteristic Classes
and Algebraic Homology of Real Algebraic Varieties, Proceedings
of the 11. Türk Matematik Kongresi, Isparta,
Türkiye, 7-11 Eylül 1998.
Süleyman Demirel Üniversitesi Basimevi,
Isparta, 1999, 81-84.pdf
15. Quotients of Real Algebraic
Sets via Finite Groups, Turkish Journal of Mathematics, 21 (1997), 493-499.
16. On Entire Rational Maps in Real Algebraic Geometry, Michigan
Math. Journal, 42 (1995), 141-145.
17. Real Algebraic
Principal Fibrations, AMS.
Contemporary Mathematics,
Volume 182 (1995), 121-134.
18. Trace Homomorphism
for Smooth Manifolds pdf
19. Triviality of Symplectic
SU(2)-actions on Homology, MSRI
preprint series #2004-004.pdf
20. Homology
of Non Orientable Real Algebraic Varieties (preprint)pdf
21. (J. Huisman’la
ortak) Real Algebraic Differential
Forms On Real Algebraic Varieties
(preprint)pdf
A
Geometry Topology Talk for Students (Mersin Univ. 2012) 17/10/2017
Seminar
Notes on Milnor’s Exotic Spheres 10/20/2017
Algebraic
Topology Summer School Lecture Notes 21/06/2016
Simplectic
Topology Workshop Notes ( Atılım Univ. Sept. 2016) 10/19/2017
Seminar
Notes on Arf Invariant 01/10/2016
Grassmannians Lecture Notes (Turkish) 09/06/2017
Galois Theory, Covering Spaces ve Differential Equations
(Hacettepe Üniv., Turkish) 09/11/2017, Computer Presentation
Contact
Information
Middle East Technical
University
Mathematics Department
06800 Ankara
Turkey
Office place: M-217
Phone: +90 312-210
5373
Fax: +90 312-210 2972
e-mail:
ozan@metu.edu.tr