​                                                                                                                                                           Photo credit: Özde Bayer 

TÜRKÜ ÖZLÜM ÇELİK turkuozlum@gmail.com

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

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NEWS

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• Together with Bernard Deoninck, Mark Bennett, Charles Wang;

                                               organizing a JMM AMS special session "Applications of Riemann surfaces". 

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•  I am a trainer committee member of "Training Mathematicians in Computations in Turkey",

        supported by IMU CDC, including several activities:

                                                     e.g. SageDays 113 Istanbul, Symbolic Computations Istanbul Meetings.

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•  I will soon give a mini-lecture on Riemann surfaces and theta functions at Galatasaray University.

        (References: Tata Lectures by D. Mumford; Theta Functions and Non-linear equations by B. Dubrovin)

 

   

 

RESEARCH

                                                                                                                                                                                                                                                                                                 

 

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

         

                                                                                                                                                                                                                               

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. 

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

Proceedings of the 18th Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, AMS book series Contemporary Mathematics (2021).

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

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

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

 

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7) Theta Surfaces with  Daniele Agostini, Julia Struwe, Bernd Sturmfels;

   Vietnam Journal of Mathematics, (2020). Special issue for Jürgen Jost's 65th birthday.

 

 

6) Optimal Transport to a Variety with Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels, Lorenzo Venturello; presented 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.

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CODE 

 

• 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. 

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THESIS

 

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.

 

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