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**E. Mehmet Kıral's Page**

## PositionI am currently an SPDR postdoctoral Researcher, working in the Mathematical Sciences Team of RIKEN AIP under Kenichi Bannai. ## TeachingI gave a lecture series on Public Key Cryptography at RIKEN, Wako Campus as a part of iTHEMS. My Jupyter notebook
lecture notes |

### Personal

A place I care deeply about.

email: erenmehmetkiral@protonmail.com

## ResearchI 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 HaikuWith 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. |
arxiv |

2. | Parametrization of Kloosterman sets and SL(3)-Kloosterman sums
joint with M. Nakasuji. |
arxiv |

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. |
arxiv |

4. | Level Reciprocity in the twisted second moments of Rankin-Selberg L-functions
joint with N. Andersen Mathematika 64 (3), 770-784. |
arxiv |

5. | The fifth moment of Modular L-functions joint with M. Young Accepted for Publication in the Journal of the European Mathematical Society (JEMS) |
arxiv |

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. |
arxiv |

7. | Kloosterman sums and Fourier coefficients of Eisenstein series
joint with M. Young The Ramanujan Journal, 49(2), 391-409. |
arxiv |

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 |
arxiv |

9. | Opposite sign Kloosterman sum zeta function
Mathematika, vol 62, Issue 02, (2016), pp. 406 - 429 |
arxiv |

10. | Bounds on Sup-norms of Half Integral Weight Modular Forms
Acta Arithmetica, vol. 165, no. 4 (2014): pp. 385-399 |
arxiv |

11. | Subconvexity for Half Integral Weight L-functions.
Mathematische Zeitschrift, vol. 281, Issue 3 (2015): pp. 689-722 |
arxiv |

12. | Counting Square Discriminants
joint with T. A. Hulse, C. I. Kuan, L. Lim, Journal of Number Theory, vol. 162, (2016): 255-274. |
arxiv |

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 |
arxiv |

Last updated: 29 April 2021