Curriculum Vitae
Ahmet Beyaz, Ph.D in Mathematics
Assoc. Prof. Dr.
Department of Mathematics, Middle East Technical University, Ankara, 06800, Turkey
Tel: +90-312-210-5381, Fax: +90-312-210-2972, Webpage: https://users.metu.edu.tr/beyaz/
Research area:
My field of research in mathematics is geometric topology and symplectic
topology. The main focus is the study of smooth/symplectic topology in
dimension four and symplectic topology in dimension six. For
classification of these structures on a manifold, topological methods
such as surgeries are applied. The Seiberg-Witten invariants of
4-manifolds and the count of J-holomorphic curves in 6-manifolds are
the basic tools to get information about these structures. Research
interest expands to the related topics such as contact topology, surface
bundles, Lefschetz fibrations and mapping class groups.
Education:
2000-2006 Ph.D in Mathematics, University of California Irvine, CA USA
(Dissertation title: A new construction of spin smooth 6-manifolds,
Supervisor: Ronald Stern)
2003-2004 Visiting Graduate Student, Department of Mathematics, Princeton University, NJ USA
1996-2000 B.Sc in Mathematics, METU, Ankara Turkey
1997-1999 Minor in Geographical Information Systems and Remote Sensing, METU, Ankara Turkey
1987-1994 Ankara Ataturk Anadolu Lisesi, Ankara Turkey
Employment and Grants:
2000-... Department of Mathematics, METU, Ankara Turkey
2016-2018 Department of Mathematics, Harvard University, MA USA
2002-2006 Research Assistant, Department of Mathematics, University of California Irvine, CA USA
2016-2017 Fulbright Scholar
2010-2012 TUBiTAK Career Grant
Papers and Preprints:
Count of genus zero J-holomorphic curves in dimensions four and six(Turkish Journal of Mathematics, 45 No.5, 1949-1958, 2021)
From automorphisms of Riemann surfaces to smooth 4-manifolds (joint with Naylor, Onaran and Park, Mathematical Research Letters, 27 No:3, 629-645, 2020)
On fillings of homotopy equivalent contact structures (http://arxiv.org/abs/1506.08389)
Symplectic geography problem in dimension six (Hacettepe Journal of Mathematics and Statistics, 41 No.5, 709-713, 2012)
A new construction of 6-manifolds (Transactions of the American Mathematical Society, 360 No.8, 4409-4424, 2008)
Graduate Teaching:
2006 Fall to today, at METU: Low dimensional topology, Algebraic topology, General topology, Differential topology
Undergraduate Teaching:
2006 Fall to today, at METU: Hyperbolic geometry, General topology,
Discrete mathematics, Basic algebraic structures, Basic mathematics,
Calculus, Differential equations, Linear algebra, History of
mathematical concepts
2005 Summer School at UCI: Precalculus
2004 Summer School at UCI: Calculus