Assistant Professor, Middle East Technical University, Dept. of Math. (Fall 2025-present)
Working on higher structures in geometry and physics.
Current research: Derived symplectic geometry and neighboring subjects.
Previously: Visiting Assistant Professor at Bilkent University; Postdoc at University of Zurich, Middle East Technical University, and Istanbul Technical University.
Ph.D. in Mathematics at METU (2021); B.S. in Mathematics with Minor in Physics at METU.
[See also: Curriculum Vitae]
Publications and preprints [See also: Research Tab | ResearchGate]
Introduction to derived contact geometry (2025), submitted contribution to the Springer-INdAM volume "Poisson Geometry and Mathematical Physics".
Legendrian structures in derived geometry (2025). arXiv:2406.17416.
Stacks in Einstein Gravity, Turk J. of Math. (2024) Vol. 48: No. 4, Article 5.
On shifted contact derived Artin stacks (2024). arXiv:2401.03334 (final version to appear in Higher Structures).
Shifted contact structures and their local theory, Ann. Fac. Sci. Toulouse, Math., Serie 6, Vol. 33, No. 4 (2024), pp. 1019-1057. arXiv:2209.09686, Addendum (2025).
Derived Geometric Formulations in Physics, Int. J. Geom. Methods in Mod. Phys. Vol. 19, No. 10 (2022). arXiv:1904.13331.
Euclidean Polynomials for Certain Arithmetic Progressions and the Multiplicative Group of F_p^2 (with F. Özbudak), Quaest. Math. (2022) 1-10.
Moduli theory, stacks, and 2-Yoneda’s Lemma (2020), arXiv:2202.06628.
Introduction to Geometric Quantization and Witten’s Quantum Invariant (2019). arXiv:1902.10813 (in Proceedings of the Workshop on Mathematical Topics in Quantization, Galatasaray University, 2018).
e-mail: berktav@metu.edu.tr
(or ilkerberktav@gmail.com)
Office: M125, Dept. of Mathematics,
Middle East Technical University, 06800 Çankaya/Ankara, Türkiye
Office Tel.: +90 (312) 210-5383