Publications and Preprints

  • Poisson spacing statistics for lattice points on circles, (with Pär Kurlberg), Invent. Math., to appear.

  • Around the Gauss circle problem: Hardy's conjecture and the distribution of lattice points near circles, (with Igor Wigman), J. London Math. Soc., to appear.

  • Mass equidistribution for Saito-Kurokawa lifts , (with Jesse Jääsaari and Abhishek Saha), Geom. Funct. Anal., Vol. 34 (2024), 1460--1532.

  • Weighted central limit theorems for central values of L-functions, (with Hung Bui, Natalie Evans, Kyle Pratt), J. Eur. Math. Soc., to appear.

  • Superscars for Arithmetic Point Scatterers II , (with Pär; Kurlberg, Lior Rosenzweig), Math. Forum Sigma, to appear.

  • Quantum variance for dihedral forms , (with Bingrong Huang), Transactions of the American Mathematical Society, 376 (2023), 643--695.

  • On fundamental Fourier coefficients of Siegel cusp forms of degree 2 , (with Jesse Jääsaari and Abhishek Saha), J. Inst. Math. Jussieu, 22(4) (2023), 1819--1859.

  • On the distribution of lattice points on hyperbolic circles , (with Dimitrios Chatzakos, Pär; Kurlberg, Igor Wigman), Algebra Number Theory, 15(9) (2021), 2357--2380.

  • Signs of fourier coefficients of half-integral weight modular forms , (with Maksym Radziwiłł), Math. Ann., 379, (2021), 1553--1604.

  • Quantum unique ergodicity for half-integral weight automorphic forms , (with Maksym Radziwiłł), Duke Math. J., 169, (2020), no. 2, 279-351.

  • Discrepancy bounds for the distribution of the Riemann zeta-function with applications (with Youness Lamzouri, Maksym Radziwiłł), J. Anal. Math, (2019), no. 2, 453-494.

  • Small scale distribution of zeros and mass of modular forms , (with Kaisa Matomäki; and Maksym Radziwiłł), J. Eur. Math. Soc., 20 (2018), no. 7, 1595--1627.

  • An effective universality theorem for the Riemann zeta-function , (with Youness Lamzouri and Maksym Radziwiłł), Comment. Math. Helv., 93 (2018), no. 4, 709--736.

  • Small scale equidistribution of eigenfunctions on the torus , (with Zeév; Rudnick), Comm. Math. Phys., 350 (2017), no. 1, 279--300.

  • On the variance of sums of divisor functions in short intervals, Proc. Amer. Math. Society, 144 (2016), no. 12, 5015--5027.

  • On the distribution of the divisor function and Hecke eigenvalues (with Nadav Yesha), Israel J. Math., 212 (2016), no. 1, 443-472.

  • a-Points of the Riemann zeta-function on the critical line, Int. Math. Res. Not. IMRN, (2015), no. 9, 2406-2436.

  • On the distribution of the zeros of the derivative of the Riemann zeta-function, Math. Proc. Cambridge Philos. Soc., 157 (2014), no. 3, 425-442.

  • The distribution of the logarithmic derivative of the Riemann zeta-function, Quart. J. of Math., (2014) 65 (4): 1319-1344.

  • On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis (with Hung Bui and Micah Milinovich), J. Math. Anal. Appl., 409 (2014), no. 1, 244-253.

  • Mean values of ζ'/ζ(s), correlation of zeros, and the distribution of almost primes (with David Farmer, Steve Gonek, Yoonbok Lee), Quart. J. of Math., 64 (2013), no. 4, 1057-1089.

  • A note on simple a-points of L-functions (with Steve Gonek, Micah Milinovich), Proc. Amer. Math. Society, 140 (2012), no. 12, 4097-4103.

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    Last update: September, 2023.