M. Fırat Arıkan

Associate Professor

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Middle East Technical University
Department of Mathematics
06800, Ankara
Turkey

Email: farikan [at] metu.edu.tr
Phone: +90 312 210 5348
Fax: +90 312 210 2972

Current Courses (Fall 2024)

·         Math 113 (Calculus I)

·         Math 457 (Calculus on Manifolds)

·         Office hours (Fall 2024): Monday & Wednesday 12:00-13:00 (or by appointment)

RESEARCH

Publications

- Compatible Relative Open Books on Relative Contact Pairs via Generalized Square Bridge Diagrams, (2024) Acta Mathematica Hungarica, joint with İ. Saraç

- Contact Symplectic Fibrations and Bundle Contact Structures, (2023) Mediterranean Journal of Mathematics

- On Legendrian Embeddings into Open Book Decompositions, (2019) Arkiv för Matematik, joint with S. Akbulut

- Stabilizations via Lefschetz Fibrations and Exact Open Books, (2017) Journal of GGT, joint with S. Akbulut

- Tight Contact Structures on Hyperbolic Three-Manifolds, (2017) Topology & its Applications, joint with M. Secgin

- Legendrian Realization in Convex Lefschetz Fibrations and Convex Stabilization, (2015) Forum Mathematicum, joint with S. Akbulut

- Existence of Compatible Contact Structures on G_2-Manifolds, (2011) Asian Journal of Mathematics, joint with H. Cho and S. Salur

- On the Classification of Certain Planar Contact Structures, (2011) Acta Mathematica Hungarica, joint with S. Durusoy

- A Note on Lefschetz Fibrations on Compact Stein 4-Manifolds, (2010) Communications in Contemporary Mathematics, joint with S. Akbulut

- Topological Invariants of Contact Structures and Planar Open Books, (2008) Ph.D. Thesis

- Planar Contact Structures with Binding Number Three, (2007) Proceedings of Gokova Geometry / Topology Conference

- On the Support Genus of a Contact Structure, (2007) Journal of GGT

- Construction of Surface Bundles with Nonzero Signature, (2002) M.S. Thesis

Preprints

- Contact Structures on Folded Sums of Contact Mapping Tori and Surface Bundles, (arXiv:2312.05823) (submitted to Journal of Topology)

- Compatible Relative Lefschetz Fibrations on Admissible Relative Stein Pairs, (arXiv:2310.15700) joint with Y. Yıldırım (submitted to Mathematische Annalen)

- Maximal Page Crossing Numbers of Legendrian Surfaces in Closed Contact 5-Manifolds (work in progress)

- Legendrian Contact Homology in Closed Contact Manifolds, joint with S. Akbulut (work in progress)

- Contact Structures on G_2-Manifolds and Spin 7-manifolds, (arXiv:1207.2046), joint with H. Cho and S. Salur (work in progress)

- Lefschetz Fibrations on Compact Stein Manifolds, Preprint, joint with S. Akbulut (work in progress)