Department of Mathematics

McGill University

805 Sherbrooke Street West

Montreal, Quebec H3A 0G4

Since August 2016 I'm an Assistant Professor at McGill University.

I am interested in analytic number theory and its interactions with probability theory, spectral theory and harmonic analysis.

1. Maximum of the Riemann zeta function on a short interval of the critical line (with Louis-Pierre Arguin, David Belius, Paul Bourgade and Kannan Soundararajan) arXiv

2. An effective universality theorem for the Riemann zeta-function (with Youness Lamzouri and Stephen Lester) arXiv

3. Limiting distribution of eigenvalues in the large sieve matrix (with Florin Boca) arXiv

4. A quadratic divisor problem and moments of the Riemann zeta-function (with Sandro Bettin, H. M. Bui, Xiannan Li) arXiv

5. Quantum Unique Ergodicity for half-integral weight forms (with Stephen Lester) arXiv

6. Small gaps in the spectrum of the rectangular billiard (with Valentin Blomer, Jean Bourgain and Zeev Rudnick), *Annales scientifiques de l'Ecole Normale Superieure*, (to appear) arXiv

7. Selberg's central limit theorem for $log |zeta(tfrac 12+it)|$ (with Kannan Soundararajan) arXiv

8. Sign patterns of the Liouville and Mobius functions (with Kaisa Matomaki and Terence Tao), *Forum of Mathematics, Sigma*, **4**, (2016) arXiv

9. An averaged form of Chowla's conjecture (with Kaisa Matomaki and Terence Tao), *Algebra Number Theory*, **9**, (2015), 9, pp. 2167--2196 arXiv

10. A note on Helson's conjecture on moments of random multiplicative functions (with Adam J. Harper and Ashkan Nikeghbali), *Analytic number theory*, pp. 145--169 arXiv

11. A note on the Liouville function in short intervals (with Kaisa Matomaki), *Not for publication*, (2015) arXiv

12. Multiplicative functions in short intervals (with Kaisa Matomaki), *Ann. of Math. (2)*, **183**, (2016), 3, pp. 1015--1056 arXiv

13. Small scale distribution of zeros and mass of modular forms (with Stephen Lester and Kaisa Matomaki) arXiv

14. The mean square of the product of $zeta(s)$ with Dirichlet polynomials (with Sandro Bettin and Vorrapan Chandee), *J. Reine Angew. Math*, (to appear) arXiv

15. Refinements of G'al's theorem and applications (with Mark Lewko), *Adv. Math.*, (to appear) arXiv

16. Counting arithmetic formulas (with Edinah K. Gnang and Carlo Sanna), *European J. Combin.*, **47**, (2015), pp. 40--53 arXiv

17. Sign changes of Hecke eigenvalues (with Kaisa Matomaki), *Geom. Funct. Anal.*, **25**, (2015), 6, pp. 1937--1955 arXiv

18. Moments and distribution of central L-values of quadratic twists of elliptic curves (with Kannan Soundararajan), *Invent. Math.*, **202**, (2015), 3, pp. 1029--1068 arXiv

19. Discrepancy bounds for the distribution of the Riemann zeta-function and applications (with Youness Lamzouri and Stephen Lester) arXiv

20. On the typical size and cancelations among the coefficients of some modular forms (with Florian Luca and Igor E. Shparlinsky) arXiv

21. Gaps between zeros of $zeta(s)$ and the distribution of zeros of $zeta'(s)$, *Adv. Math.*, **257**, (2014), pp. 6--24 arXiv

22. Simple zeros of primitive Dirichlet L-functions and the asymptotic large sieve (with Vorrapan Chandee, Yoonbok Lee and Sheng-chi Liu), *Q. J. Math.*, **65**, (2014), 1, pp. 63--87 arXiv

23. The Riemann zeta function on vertical arithmetic progressions (with Xiannan Li), *Int. Math. Res. Not. IMRN*, (2015), 2, pp. 325--354 arXiv

24. Limitations to mollifying $zeta(s)$ arXiv

25. Continuous lower bounds for moments of zeta and L-functions (with Kannan Soundararajan), *Mathematika*, **59**, (2013), 1, pp. 119--128 arXiv

26. A converse to Halasz's theorem arXiv

27. A structure theorem in probabilistic number theory arXiv

28. Large deviations in Selberg's central limit theorem arXiv

29. The 4.36th moment of the Riemann zeta-function, *Int. Math. Res. Not. IMRN*, (2012), 18, pp. 4245--4259 arXiv

30. On large deviations of additive functions, *B. Sc Thesis*, (2009) arXiv

(public key and mirrors 1 2 3)