Max Planck Institue Mathematics in the Sciences 

Inselstrasse 22, 04103 Leipzig Germany

Office: G3 07

Phone: +49 (0) 341- 9959 - 820

e-mail: turkuozlumatgmaildotcom




I am a postdoctoral researcher at Leipzig University, and a guest researcher

at Max Planck Institute for Mathematics in the Sciences in Leipzig, working

in the Research Group in Nonlinear Algebra led by Bernd Sturmfels


I obtained my Ph.D. in August 2018 from Rennes University 1 - IRMAR 

under the supervision of Christophe Ritzenthaler and Sylvain Duquesne.   


My research interests lie in:

- algebraic geometry

- number theory 

more specifically in

- moduli of algebraic curves

- moduli of algebraic surfaces of low dimension.


I also enjoy studying the connections of algebraic geometry

and number theory to 

- algebraic statistics

- cryptography

- coding theory

- tropical geometry 

- representation theory

- discrete geometry...


For one of my homes, Nesin Mathematics Village.

                                                                                                                                                      The 27 real lines and a happy Türkü on Clebsch surface! (Heinrich-Heine-Universität)

  • My and Nina Otter's courses at Nesin Mathematics Village this summer:            

       - "Invitation to Nonlinear Algebra"

       - Homology of Data                      


       model collection of Leipzig University. 






Marie Skłodowska-Curie actions co-fund program research fellow at Boğaziçi University

Here is a heartfelt and inspiring interview, in "DFG magazin"! 




                                                                                                                                                                                                                                                                                                  Photo credit: Özde Bayer   


12) On Algebraic Theta Divisors and Rational Solutions of the KP equation with Daniele Agostini and John B. Little.



11) Nonlinear Algebra and Applications; Numerical Algebra, Control and Optimization, 2021.                                                                                                  with Paul Breiding, Timothy Duff, Alexandre Heaton, Aida Maraj, Anna-Laura Sattelberger, Lorenzo Venturello and  Oğuzhan Yürük

10) Numerical Reconstruction of Curves from their Jacobians with Daniele Agostini and Demir Eken; submitted. 


9) The Dubrovin threefold of an algebraic curve with Daniele Agostini and Bernd Sturmfels; Nonlinearity 34 (2021) 3783-3812. 


8) Wasserstein Distance to Independence Models with Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels, Lorenzo Venturello;

    Journal of Symbolic Computation 104 (2021) 855-873.


7) Theta Surfaces with  Daniele Agostini, Julia Struwe, Bernd Sturmfels; Vietnam Journal of Mathematics, (2020).



6) Optimal Transport to a Variety with Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels, Lorenzo Venturellopresented at 

     Mathematical Aspects of Computer and Information Sciences, MACIS 2019, Springer Lecture Notes in Computer Science 11989 (2020) 364-381.



5) On the Eigenpoints of Cubic Surfaces with Francesco Galuppi, Avinash Kulkarni, Stefana Miruna Sorea

    Le Matematiche, 75 (2020) 2, 611-625.


4) A Thomae-like Formula: Algebraic Computations of Theta Constants; International Mathematics Research Notices, (2019)



3) Tritangents and Their Space Sextics with Avinash Kulkarni, Yue Ren, Mahsa Sayyary Namin; Journal of Algebra 538 (2019) 290-311.



2)   Non-ordinary curves with a Prym variety of low p-rank 

 Yara Elias, Burçin Gunes, Rachel Newton, Ekin Ozman, Rachel Pries and Lara Thomas;  Women in Numbers Europe II 11 (2018) 117-158.



1) Architecture level Optimizations for Kummer based HECC on FPGAs, with Gabriel Gallin, Arnaud Tisserand; Progress in Cryptology

      – INDOCRYPT 2017 (2017) 44-64.




Master's thesis (December 2014): A Drinfeld modular interpretation of an asymptotically optimal tower of curves over finite fields.

PhD thesis (August 2018): Propriétés géométriques et arithmétiques explicites des courbes. (Slides for the defense.)




  • Code for arithmetic on Kummer surfaces, implemented as source code for SageMath.

  • Code on computations of Thetanullwerte, implemented in Magma

  • Code for reconstruction of space sextics from their tritangents, implemented in Magma,

       joint work with A. Kulkarni, Y. Ren, M. Sayyary Namin. 

  • Code for Numerical reconstruction of curves from their Jacobians

       joint work with D. Agostini and D. Eken.