2026–present
Postdoctoral Researcher
Quantum Information Theory Group, Ludwig Maximilian University of Munich (LMU)
Profile
My research concerns computational problems in algebra, geometry, and combinatorics. My doctoral work focused on geometric complexity theory, including algorithmic problems in geometric invariant theory. My current work connects complexity theory with quantum information theory.
Appointments
2025–2026
Postdoctoral Researcher
Quantum Information Group, Faculty of Computer Science, Ruhr University Bochum
Working with Prof. Dr. Michael Walter
Education
2019–2025
PhD in Mathematics
Technische Universität Berlin and Berlin Mathematical School
Supervisor: Prof. Dr. Peter Bürgisser
Dissertation: Complexity of Orbit Problems for Torus Actions
2017–2019
MSc in Mathematics
Technische Universität Berlin and Berlin Mathematical School
Supervisor: Prof. Dr. Peter Bürgisser · Grade: 1.0 (excellent)
2014–2017
BSc in Mathematics
Middle East Technical University (METU)
CGPA: 3.99
Publications
Polynomial Time Algorithms in Invariant Theory for Torus Actions
with Peter Bürgisser, Visu Makam, Michael Walter, and Avi Wigderson
36th Computational Complexity Conference (CCC 2021)
The Multivariate Schwartz–Zippel Lemma
with Alperen A. Ergür, Jake D. Mundo, and Elias Tsigaridas
SIAM Journal on Discrete Mathematics 36(2), 2022
On the Complexity of Chow and Hurwitz Forms
with Alperen A. Ergür and Elias Tsigaridas
ACM Communications in Computer Algebra 57(4)
Complexity of Robust Orbit Problems for Torus Actions and the abc-Conjecture
with Peter Bürgisser, Visu Makam, Michael Walter, and Avi Wigderson
39th Computational Complexity Conference (CCC 2024)
Fixed-Parameter Degree Bounds and Complexity of the Orbit Closure Intersection Problem for Tensors
with John Maar, Rafael Oliveira, and Youming Qiao
41st Computational Complexity Conference (CCC 2026)
Preprints
Deterministic Approximation Algorithms for Volumes of Spectrahedra
with Jonathan Leake and Mohan Ravichandran
Strassen's Support Functionals Coincide with the Quantum Functionals
with Keiya Sakabe and Michael Walter · To appear in the proceedings of FOCS 2026
Optimal Preconditioning is a Geodesically Convex Optimization Problem
with Alperen Ergür and Elias Tsigaridas
Small Resultant Systems via Linear Combinations
with Elias Tsigaridas and Zafeirakis Zafeirakopoulos
Grants & Awards
2019–2025
Berlin Mathematical School
Admission to Phase 2 studies
2017–2019
Berlin Mathematical School
Scholarship for Phase 1 studies
2014–2017
METU and TÜBİTAK
Scholarship for science studies
2014
National University Admission Exam
5th-place rank · top 1.5 million participants
2013
5th National Human Sciences Olympiad
First degree in Philosophy
Skills
Programming
- Python
- C
- C++
- Java
- SageMath
- Julia
- Macaulay2
Languages
- Turkish — native
- English — fluent
- German — B2