Education
Middle East Technical University
PhD. Mathematics, 2018
Supervisor: Prof. Dr. M. Hursit ONSIPER
Co-Supervisor: Assoc. Prof. Dr. Ibrahim UNAL
Thesis Title: Some Problems on the Geometry of Calibrated Manifolds
McMaster University
MSc. Mathematics, 2012
Supervisor: Prof. Dr. Ian Hambleton
Thesis Title: Equivariant Principal Bundles over the 2-Sphere
Middle East Technical University
MSc. Mathematics, 2009
Cubuk Anatolian High School
Honors and Awards
PhD Fellowship, The Scientific and Technological Research Council of Turkey
Employment and Experience
University of Rochester
Visiting Assistant Professor
2022-Present
Bilkent University
Lecturer
2024-Present
Cankaya University
Lecturer
2023-2024
Ankara Yildirim Beyazit University
Lecturer
2021-2022
Directed Reading Program (DRP) Turkey
Mentor
2021-Present
The Scientific and Technological Research Council of Turkey
Scientific Programs Expert- Data Scientist
2016-Present
University of Turkish Aeronautical Association
Lecturer
2015-2016
Project: Geometry in dimensions 7, 8 and above with relations to Mirror Symmetry
PhD Scholar
2013-2015
McMaster University
Teaching/Research Assistant
2010-2012
Middle East Technical University
Teaching Assistant
2009-2010
Middle East Technical University
Student Teaching Assistant
2007-2009
Research Interests
Differential Geometry and Geometric Analysis, Calibrated geometry and manifolds with special holonomy, Geometry of submanifolds, Data Science, Medical Imaging
Publications and Preprints
Topological Methods at Computed Tomography (Preprint)
On Locally Conformal Spin(7) Structure (2024) (E-print available at arXiv:2403.00731)
The 4-Planes of Spin (7) Manifolds (2024) (E-print available at arXiv:2405.17936)
Almost Symplectic Structures on Spin(7)-Manifolds (2020) (joint with S. Salur) (to appear in Proceedings of the 2019 ISAAC Congress (Aveiro, Portugal))
On symplectic 8-manifolds admitting Spin(7)-structure (2020) (joint with I. Unal)(Turkish Journal of Mathematics 44.5 : 1792-1801)
Algebraic Topology of Special Lagrangian Manifolds (2020) (joint with M. Kalafat) (Indagationes Mathematicae)
Equivariant Principal Bundles over the 2-Sphere (2019) (E-print available at ArXiv:1902.06293v2)
Talks Given
Lecture Series: Topological Data Analysis, Nesin Math Village Summer School-Izmir Sep 2-9, 2024
Topological Data Analysis, University of Rochester ECE Seminar, Mar 23, 2024
Spin(7) Geometry Torsion and Vector Fields University of Rochester Dec 2, 2022
Lecture Series: Spin(7) Geometry and Its Classes Geometry-Topology Summer School Istanbul Center for Mathematical Sciences - Online (Youtube Channel) Aug 15-27, 2022 (Link: Spin(7)-Geometry )
Lecture Series: Spin(7) Geometry, Nesin Math Village Summer School-Izmir Sep 13-17, 2021
Spin(7) Geometry, Duzce University, Leavitt Path Algebras Seminar Turkey, Aug 12, 2021
Spin(7) Geometry with Torsion, Bogazici University Geometry Seminar July 16, 2021
SU(3) Structure on Submanifolds of Locally Conformal Spin(7) Structure with 2-plane Field,18. International Geometry Symposium-Malatya July 12-13, 2021
Lecture Series: Spin Geometry and Seiberg-Witten Equations, 3. Geometry-Topology Winter School-Izmir Jan 6-19, 2020
Equivariant Principal Bundles over the 2-Sphere, 32. National Mathematics Conference-Samsun Aug 01-04, 2019
Spin(7) Geography of Symplectic 8-manifolds, 31. National Mathematics Conference-Erzincan Sep 12-15, 2018
Calibrated Geometry, METU Geometry Seminar Jan 15, 2016
Calibrated Geometry, METU Geometry Seminar Dec 15, 2015
Conferences and Workshops
Geometry Festival, UPenn. USA, Apr-24
Einstein Chair Seminar, CUNY USA, Jan-23
Geometry Festival, Stony Brook Un. (Online) USA, Apr-21
18th Workshop on Quantization, Dualities and Integrable Systems, METU (Online), Turkey, Oct-20
14. Ankara Mathematics Days, Gazi Un., Turkey, June-19
10. Ankara Mathematics Days, METU, Turkey, June-15
Invariants in Low Dimensional Geometry, Gazi Univ., Turkey, Aug-15
Gokova Geometry-Topology Conference, GGTI, Turkey, May-14
Gokova Geometry-Topology Conference, GGTI, Turkey, May-13
Conference on Connections in Geom. and Physics, Fields Institute, Canada, July-11
Gokova Geometry-Topology Conference, GGTI, Turkey, May-10
Algebraic Geometry Conference, Galatasaray Un., Turkey, June-09
Teaching Experience
University of Rochester
MATH 161 Calculus II, Instructor, Spring 2024
MATH 282 Complex Analysis, Instructor and Coordinator, Spring 2024
Cankaya University
MATH 476 Differential Geometry, Instructor, Fall 2023
MATH 587 Partial Differential Equations, Instructor, Fall 2023
University of Rochester
MATH 164 Calculus III, Instructor, Spring 2023
MATH 282 Complex Analysis, Instructor, Spring 2023
MATH 141 Calculus I, Instructor, Fall 2022
MATH 164 Calculus III, Instructor, Fall 2022
Ankara Yildirim Beyazit University
MATH 305 General Topology, Instructor, Fall 2021
University of Turkish Aeronautical Association
MAT 123 Engineering Calculus I, Instructor, Fall 2015
MAT 221 Linear Algebra, Instructor Fall 2015
MAT 301 Probability and Statistics, Instructor, Coordinator Fall 2015
AEE 307 Computational Methods, Instructor Fall 2015
McMaster University
MATH 1ZB3 Engineering Mathematics II, Teaching Assistant Summer 2011
MATH 1ZA3 Engineering Mathematics I, Teaching Assistant Fall 2011
MATH 1B03 Linear Algebra I, Teaching Assistant Summer 2010
MATH 3B03 Geometry, Teaching Assistant Fall 2010
Middle East Technical University
MATH 120 Calculus II, Teaching Assistant, Co-coordinator Summer 2009
MATH 119 Calculus I, Teaching Assistant, Co-coordinator Fall 2009