Publications and Preprints

Research topics: analytic number theory, spectral theory of automorphic forms, hyperbolic lattice point counting, Prime Geodesic Theorems, Quantum Unique Ergodicity, Zeta and Dirichlet L-functions.

  1. On the variance of the nodal volume of arithmetic random waves, joint with G. Cherubini, arXiv:2007.12143, 2020 (to appear in Forum Math.)
  2. Bykovskii-type theorem for the Picard manifoldjoint with A. Balog, A. Biró and G. Cherubini, Int. Math. Res. Notices, 2020 (advance publication)
  3. Second moment of the prime geodesic theorem for \mathrm{PSL}(2, \mathbb{Z}[i])joint with D. Chatzakos and G. Cherubini, arXiv:1812.11916, 2018 (to appear in Math. Z.)
  4. Prime geodesic theorem in the 3-dimensional hyperbolic space, joint with O. Balkanova, D. Chatzakos, G. Cherubini and D. Frolenkov, Trans. Amer. Math. Soc., 372, no. 8, 2019, pp. 5355-5374
  5. Quantum limits of Eisenstein series in \mathbb{H}^{3}, Probabilistic methods in geometry, topology and spectral theory, pp. 125-138, Contemp. Math., 739, Amer. Math. Soc., Providence, RI, 2019
  6. On the value distribution of two Dirichlet L-functions, joint with Y. Petridis, Funct. Approx. Comment. Math., 58, no. 1,  2018, pp. 43-68
  7. Lattice point counting in sectors of hyperbolic 3-space, Q. J. Math, 68, issue 3, 2017, pp. 891-922
  8. Numerical Investigation of Exponential Sums Over Eigenvalues in \mathrm{PSL}_{2}(\mathbb{Z})\backslash\mathbb{H}, appears in Local average in hyperbolic lattice point counting, with an Appendix by Niko Laaksonen in Math. Z., 285, issue 3-4, 2017, pp. 1319-1344
    (see here for a discussion on the numerics, and links to the programs and data)
  9. Discrete mean values of Dirichlet L-functions, joint with Y. Petridis, The Analytic Theory of Automorphic Forms, Oberwolfach Report, 8, no. 3, 2011

My doctoral thesisQuantum Limits, Counting and Landau-type Formulae in Hyperbolic Space“,
and master’s thesis “Discrete Mean Values of Dirichlet L-functions“.