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I am an H.D.R. Candidate from the School of Mathematics and Statistics at the University of New South Wales, working under the supervision of Dr. Liangyi Zhao. My current research is focused in analytic number theory, more specifically, in arithmetic statistics and the analytic theory of L-functions. I am mainly interested in investigating the on-average properties of Dirichlet coefficients of L-functions belonging to certain well-structured families.
I am currently interested in working on problems in the following directions :
♦ Large-sieve inequalities for squares or other sparse sets of moduli.
♦ Prime number theorems over sparse sequences for L-functions.
♦ Moments and mixed-moments of arithmetical functions.
♦ One-level density estimates and their consequences.
It is a pleasure to thank the University of N.S.W. and the Australian Government for their support through U.P.A and R.T.P. Scholarships, respectively.
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