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I am Eda Kırımlı, currently a Research Fellow at the University of Birmingham, working with Christophe Petit in the EPSRC project Post-Quantum Cryptography: a Cryptanalysis Approach. My research is in algebraic number theory, arithmetic geometry, and isogeny-based cryptography, with a focus on isogeny graphs of abelian surfaces, isogeny computation, and invariants of low-genus curves.
Previously, I have been a joint Ph.D. student at Université de Neuchâtel and University of Bristol in Switzerland and the UK under the supervision of Elisa Lorenzo García and Chloe Martindale. Before that, I was a master's student at Boğaziçi University supervised by Ekin Özman.
Research Interests: Algebraic number theory; algebraic geometry; arithmetic geometry; post-quantum cryptography; isogeny-based cryptography; isogeny graphs of abelian surfaces, isogeny computation, invariants of low genus curves, reduction types of curves of genus 3, Picard curves
Ph.D Thesis: Isogeny-based cryptography of abelian surfaces
Master's Thesis: Inverse Galois Problem
Publications and Preprints
Refined Humbert invariants in supersingular isogeny degree analysis, 2025, with G. Korpal (preprint)
The computational refined Humbert invariant problem is equivalent to the computational isogeny problem, 2024, with C. Martindale, (preprint)
Testing the folklore, detecting split surfaces, and minimum walks, 2025, with G. Korpal (in submission)
Reduction types of CM Abelian threefolds, with P. Kılıçer, H. Kır (in preparation)
Singular Moduli of Picard Curves with E. Lorenzo García (in preparation)
Upcoming Invited Talks
Isogenies of Abelian Varieties: Applications to Post-Quantum Cryptography, Lausanne, Switzerland, November 2026
FoCM, Computational Number Theory, Vienna, Austria, July 2026
Isogeny Club, Online, April 2026
Selected Talks
Leuven Isogeny Days 6, KU Leuven, Belgium, September 2025
YRANT-VI, University of Oxford, UK, August 2024
Junior Number Theory Seminar, University of Warwick, UK, June 2024
Linfoot Seminar, University of Bristol, UK, March 2024
AGCCT, Arithmetic, Geometry, Cryptography and Coding Theory, CIRM, Marseille, France, June 2023,
Zurich - Neuchâtel - St. Gallen Seminar in Coding Theory and Cryptography, Switzerland, May 2023
Swiss Mathematical Society Doctoral Day 2023, University of Neuchâtel, Switzerland, March 2023
Selected Conferences/Workshops/Research Schools
Isogeny Graphs in Cryptography, BIRS, Banff, Canada, Aug. 3-8, 2025
Workshop on the Local Arithmetics of Curves, University of Bristol, Apr. 28 – May 2, 2025
Arizona Winter School 2024, University of Arizona, Arizona, USA, Mar. 2 – 6, 2024
SAGA, Symposium on Arithmetic Geometry and its Applications, CIRM, Marseille, France, Feb. 6 – 10, 2023
Introduction to SAGA, CIRM, Marseille, France, Jan. 30 – Feb. 3, 2023
Fifteenth Algorithmic Number Theory Symposium, ANTS-XV, University of Bristol, UK, Aug. 8 – 12, 2022,
Number Theory by Computation, PCMI Graduate Summer School 2022, IAS/Park City Mathematics Institute, Utah, USA, Jul. 17 – Aug. 6, 2022
ICM Sectional Workshop: Number Theory and Algebraic Geometry, ETH Zurich, Switzerland, Jul. 11-14, 2022
Professional Service and Organizing
Co-organizer, DRP Türkiye 2023
Co-organizer, Young Mathematician Conference
Co-organizer, DRP Türkiye 2022
Links
The best place to visit on earth for a mathematician: Nesin Mathematics Village
Directed Reading Program in/around Türkiye: DRP Türkiye
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