E. Mehmet Kıral's Homepage

E. Mehmet Kıral's Page


I am currently an SPDR postdoctoral Researcher, working in the Mathematical Sciences Team of RIKEN AIP under Kenichi Bannai.


I gave a lecture series on Public Key Cryptography at RIKEN, Wako Campus as a part of iTHEMS. My Jupyter notebook lecture notes

Headshot of myself in MoMa


A place I care deeply about.
email: erenmehmetkiral@protonmail.com


I work on modular/automorphic forms including half-integer weight forms, and their L-functions, and the moments of said L-functions. Also I work on mathematical aspects of artificial intellilgence.
My CV.
My Ph.D. advisor is Jeffrey Hoffstein from Brown University, and my postdoctoral mentor is Matthew Young from Texas A&M University. In Japan I was a JSPS postdoctoral fellow, working with Maki Nakasuji at Sophia University.

A Haiku

With Petersson Trace,
You get more when you give less
Fewer c's, more forms

List of Publications

1. Subconvexity for twisted GL(3) L-functions
joint with C. I. Kuan, D. Lesesvre.
2. Parametrization of Kloosterman sets and SL(3)-Kloosterman sums
joint with M. Nakasuji.
3. Additive twists and a conjecture by Mazur, Rubin and Stein
joint with N. Diamantis, J. Hoffstein and M. Lee
Journal of Number Theory 209 (2020): 1-36.
4. Level Reciprocity in the twisted second moments of Rankin-Selberg L-functions
joint with N. Andersen
Mathematika 64 (3), 770-784.
5. The fifth moment of Modular L-functions
joint with M. Young
Accepted for Publication in the Journal of the European Mathematical Society (JEMS)
6. Oscillatory integrals with uniformity in parameters
joint with I. Petrow, M. Young
Journal de Théorie des Nombres de Bordeaux 31, no. 1 (2019): 145-159.
7. Kloosterman sums and Fourier coefficients of Eisenstein series
joint with M. Young
The Ramanujan Journal, 49(2), 391-409.
8. The Voronoi formula and double Dirichlet series
joint with F. Zhou
Algebra & Number Theory vol. 10, No 10 (2016), pp. 2267-2286.
long version
9. Opposite sign Kloosterman sum zeta function
Mathematika, vol 62, Issue 02, (2016), pp. 406 - 429
10. Bounds on Sup-norms of Half Integral Weight Modular Forms
Acta Arithmetica, vol. 165, no. 4 (2014): pp. 385-399
11. Subconvexity for Half Integral Weight L-functions.
Mathematische Zeitschrift, vol. 281, Issue 3 (2015): pp. 689-722
12. Counting Square Discriminants
joint with T. A. Hulse, C. I. Kuan, L. Lim,
Journal of Number Theory, vol. 162, (2016): 255-274.
13. The Sign of Fourier Coefficients of Half-Integral Cusp Forms
joint with T. A. Hulse, C. I. Kuan, L. Lim,
International Journal of Number Theory, vol. 8, no. 3 (2012): pp. 749-762

Last updated: 29 April 2021