Research 

Published Papers 

1.  Spectral quasi correlations and phase-transitions for the nodal length of Arithmetic Random Waves Int. Math. Res. Not. IMRN, no. 11, 8472–8507.(2022) Arxiv 

2.  Nodal set of  monochromatic waves satisfying the Random Wave Model (with A. Romaniega)J. Differential Equations 333, 1–54. 35J10 (2022) Arxiv 

3.  Planck-scale number of nodal domains for toral eigenfunctions , J. Funct. Anal. 279, no.8,  (2020) Arxiv

4.  Mass distribution for toral eigenfunctions via Bourgain's de-randomisation, Q. J. Math. 71, no.1, 1-20, (2020). Arxiv 

5.  Least primitive root and simultaneous power non-residues   J. Number Theory 204, 246-263, (2019).    Arxiv

6.  On the fractal structure of attainable probability measures   Bull. Pol. Acad. Sci. Math. 66, no. 2, 123-133, (2018).  Pdf

Accepted papers

1. Asymptotic nodal length and log-integrability of toral eigenfunctions Arxiv (Communications in Mathematical Physics)

Submitted papers

1. On the behavior of nodal lines near the boundary for Laplace eigenfunctions on the square (with O. Klurman) Arxiv

2. On the universality of the Nazarov-Sodin constant Arxiv

3. Expected nodal volume for non-Gaussian random band-limited functions and their doubling index (with I. Wigman)  Arxiv (link to old version)

4. Almost sharp lower bound for the nodal volume of harmonic functions (with A. Logunov and Lakshmi Priya M.E.) Arxiv

In Preparation

1.  On the zeros of the deformed exponential function ( with A. Nishry).