Kadri İlker Berktav

About me

>> Assistant Professor, Middle East Technical University, Dept. of Mathematics (Fall 2025-present)

• Working on higher structures in geometry and physics.

• Current research: Derived symplectic geometry and neighboring subjects.

• Projects: Higher Structures Research Group at METU  

>> Some previous pos.: Visiting Assistant Prof. at Bilkent University, Postdoc at the University of Zurich.

>> Ph.D. in Mathematics at METU (2021);  B.S. in Mathematics with Minor in Physics at METU.   

Publications and preprints    [ See also:  Research Tab  |  ResearchGate  |  CV  ]

• Shifted Symplectic Fibrations and Derived Thurston Theorem (2026), with M. Fırat Arıkan, Efe İzbudak. arXiv:2606.21717

• AKSZ Construction for Shifted Contact Structures (2026),  with Efe İzbudak.  arXiv:2606.13866 

• Derived Legendrian Category for Shifted Contact Stacks (2026), with Efe İzbudak.  arXiv:2605.13792

• Equivariant Quotients of Derived Symplectic Spaces and Legendrian Intersection Theorem (2026)
  (with Efe İzbudak),  arXiv:2605.08394

• On higher structures in mathematical physics (2026), J. Phys.: Conf. Ser. 3264 (2026) 012014

• Introduction to derived contact geometry (2025), to appear in the Springer INdAM Series (SINDAMS, 70) Poisson Geometry and Mathematical Physics II.

• Legendrian structures in derived geometry (2025). arXiv:2406.17416. (under review)

• On shifted contact derived Artin stacks (2025),  Higher Structures 9 (2): 103-135, 2025. 

• Stacks in Einstein Gravity,  Turk J. of Math. (2024) Vol. 48: No. 4, Article 5.

• 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. 46 (7), 1283-1292, 2023.

• 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).