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
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
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. (Joint with F. Atalan and E. Medetoğulları) Liftable homeomorphisms of rank two finite abelian branched covers, to appear in Archiv der Mathematik.
2. (Joint
with Aram Bingham ve Mahir
Bilen Can) A
Filtration on Equivairant Borel-Moore Homology,
Forum Math. Sigma 7 (2019), e18, 13 pp.
3. On Cohomology of Invariant Submanifolds of Hamiltonian Actions, Michigan Math. J. 53 (2005), no. 3, 579-584.
4. Relative Flux Homomorphism in Symplectic Geometry, Proc.
Amer. Math. Soc.
133 (2005),
no. 4, 1223-1230.
5. On Homotopy Groups of Real Algebraic Varieties and Their Complexifications, Geom. Dedicata, 108 (2004), no.1, 131-140.
6. Relative Topology of Real Algebraic Varieities in Their Complexifications, Pacific J. Math. 217 (2004), no. 2, 291-302.
7. On Algebraic K-Theory of Real Algebraic Varieties, J. Pure and Appl. Algebra 170 (2002), no. 2-3, 287-293.
8. On Entire Rational Maps of Real Surfaces, J. Korean Math. Soc. 39 (2002), no. 1, 77-89.
9. On Homology of Real Algebraic Sets, Proc. Amer. Math. Soc. 129 (2001), no. 11, 3167-3175.
10. (Joint with Arzu
Çelikten), An Obstruction to Finding Algebraic Models for Smooth
Manifolds with
Prescribed Algebraic Submanifolds, Math. Proc. Cambridge Philos. Soc.
130 (2001),
no. 2, 281-286.
11. Homology of Real Algebraic Fiber Bundles Having Circle as Fiber or Base, Michigan Math. Journal, 46 (1999), 113-121.
12. Characteristic Classes and Algebraic Homology of Real Algebraic Varieties, Proceedings of the 11. Congress of Turkish Mathematical Society, held in Isparta, Turkey in September 7-11, 1998. Süleyman Demirel Üniversitesi Basimevi, Isparta, 1999, 81-84.pdf
13. Quotients of Real Algebraic Sets via Finite Groups, Turkish Journal of Mathematics, 21 (1997), 493-499.
14. On Entire Rational Maps in Real Algebraic Geometry, Michigan Math. Journal, 42 (1995), 141-145.
15. Real Algebraic Principal Fibrations, AMS. Contemporary Mathematics, Volume 182 (1995), 121-134.
16. Trace Homomorphism for Smooth Manifolds pdf
17. Triviality of Symplectic SU(2)-actions on Homology, MSRI preprint series #2004-004.pdf
18. Homology of Non Orientable Real Algebraic Varieties (preprint)pdf
19. (Joint with J. Huisman) 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