Detailed research interests:

I have a keen interest in various aspects of analytic number theory, including investigations into the 

• mean values and correlation of multiplicative functions, 

• higher-dimensional sieve methods, 

• distribution and extreme values of L-functions, 

• the Dirichlet divisor problem, and their counterparts in both number and function fields. 

Within the realm of probabilistic number theory, I am interested in 

• distribution of addition functions, 

• dependencies within families of L-functions, 

• zero repulsion of L-functions via the Central Limit Theorem, and their corresponding Brownian motions.