I am an Assistant Professor at the Department of Mathematics of Koç University.

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Mailing address: 

Koç University

College of Sciences

Rumeli Feneri Yolu

34450 Sarıyer

İstanbul, Türkiye

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Office: SCI 104

 

Email: ajamneshan@ku.edu.tr

Research interests: Ergodic theory, additive combinatorics, Boolean logic, probability 

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I organize the Mathematics Seminar at Koç University, see our seminar webpage for the schedule.  Please write me an email if you wish to speak at our seminar. 

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This semester, I am teaching the courses MATH 301 (Real Analysis), MATH 531 (Measure Theory), and MATH 552 (topics course in Additive Combinatorics). In the summer semester, I will be teaching MATH 401 (Complex Analysis). 

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Here are links to two recent interviews with the DFG (German Research Foundation), available both in English and German, and with the newspaper Die Zeit within the format "3 1/2 Fragen" (only in German). 

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Papers 

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My Google Scholar page. 

 

The journal versions may slightly deviate from the latest arXiv versions.

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1. Non-conventional ergodic averages for finitely many commuting actions of uncountable amenable groups and uniform syndeticity, joint with Minghao Pan, forthcoming. 

2. The inverse theorem for the $U^3$ Gowers uniformity norm on arbitrary finite abelian groups: Fourier-analytic and ergodic approaches, joint with Terence Tao. arXiv - blog

3. The structure of arbitrary Conze-Lesigne systems, joint with Or Shalom, Terence Tao, submitted. arXiv - blog

4. An uncountable Furstenberg-Zimmer structure theory, submitted. arXiv 

5. An uncountable ergodic Roth theorem and applications, joint with Polona Durcik, Rachel Greenfeld, Annina Iseli, José Madrid, submitted. arXiv - video​

6. Decoupling for fractal subsets of the parabola, joint with Alan Chang, Jaume de Dios Pont, Rachel Greenfeld, Zane Kun Li, José Madrid, to appear in Mathematische Zeitschrift. arXiv

7. Foundational aspects of uncountable measure theory: Gelfand duality, Riesz representation, canonical models, and canonical disintegration, joint with Terence Tao, submitted. arXiv - blog

8. An uncountable Mackey-Zimmer theorem, joint with Terence Tao, submitted. arXiv - blog 

9. Wasserstein Distance to Independence Models, joint with Türkü Özlüm Çelik, Guido Montúfar, Bernd Sturmfels, Lorenzo Venturello, published in Journal of Symbolic Computation. arXiv - journal  

10. An uncountable Moore-Schmidt theorem, joint with Terence Tao, submitted. arXiv - blog

11. Optimal Transport to a Variety, joint with Türkü Özlüm Çelik, Guido Montúfar, Bernd Sturmfels, Lorenzo Venturello, published in Mathematical Aspects of Computer and Information Sciences. MACIS 2019. Lecture Notes in Computer Science, volume 11989. arXiv - journal

12. A perturbational duality approach in vector optimization, joint with Sorin-Mihai Grad, submitted. arXiv

13. A transfer principle for second-order arithmetic, and applications, joint with Merlin Carl, published in Journal of Logic and Analysis. arXiv - journal

14. On compactness in $L^0$-modules, joint with Jose Miguel Zapata, submitted. arXiv

15. A Fenchel-Moreau theorem for ${\bar L^0}$-valued functions, joint with Samuel Drapeau, Michael Kupper, published in Journal of Convex Analysis. arXiv - journal

16. Parameter-dependent Stochastic Optimal Control in Finite Discrete Time, joint with Michael Kupper, Jose Miguel Zapata, published in Journal of Optimization Theory and Applications. arXiv - journal 

17. Measures and integrals in conditional set theory, joint with Michael Kupper, Martin Streckfuss, published in Set-Valued and Variational Analysis. arXiv - journal 

18. Multidimensional quadratic BSDEs with separated generators, joint with Michael Kupper, Peng Luo, published in Electronic Communications in Probability. arXiv - journal 

19. Conditional Preference Orders and their Numerical Representations, joint with Samuel Drapeau, published in Journal of Mathematical Economics. arXiv - journal 

20. Sheaves and conditional sets, submitted. arXiv - recent video

21. The algebra of conditional sets and the concepts of conditional topology and compactness, joint with Samuel Drapeau, Martin Karliczek, Michael Kupper, published in Journal of Mathematical Analysis and Applications. arXiv - journal 

22. A Theory of Conditional Sets, PhD thesis. thesis