Research

I am broadly interested in analytic number theory, and applications of various methods to problems in number theory.

Papers

4. On the Number of Prime Factors of Consecutive Integers  [arxiv]
3. Smoothed Shifted Convolutions of Generalised Divisor Functions [arxiv]
2. Residue Class Patterns of Consecutive Primes [arxiv]
1. Simultaneously Small Fractional Parts of Polynomials [arxiv]