Chiara Bellotti PhD Student in Number Theory University of New South Wales (Canberra)
I am currently a third-year PhD student in number theory under the supervision of Professor Timothy Trudgian at the University of New South Wales Canberra.
My research focuses on the Riemann zeta function and Dirichlet L-functions, particularly the distribution of their zeros and implications for the distribution of prime numbers. My work involves zero-density estimates, large sieve inequalities, and explicit bounds. I am also interested in applications of the Vinogradov mean value theorem and related exponential sum estimates to a variety of problems in number theory, such as the Dirichlet divisor problem and circle method problems with multiplicative sets.