I am an analytic number theorist in the second year of my DPhil, under the supervision of Prof. Ben J. Green, studying a bouquet of topics which find themselves at the intersection of number theory, combinatorics, and analysis. Last year I established various partial results towards a conjecture of Erdos, concerning expressing residues modulo q as the product of a small number of primes less than q. My current project involves studying systems of simultaneous diophantine inequalities in the primes, attempting to apply the recent advances of Green-Tao and Green-Tao-Ziegler on linear equations in primes.
+44 1865 283875
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Analytic Number Theory: Circle method, mean values of multiplicative functions, sieve theory.
Additive Combinatorics: Discrete Fourier analysis, Chang's lemma and refinements, regularity methods.
Michelmas 2014: Analytic Number Theory (TA)
Hilary 2015: Graphy Theory (TA)
Michelmas 2015: Analytic Number Theory (Tutor), Banach Spaces (Tutor)
Hilary 2016: Probabilistic Combinatorics (Tutor)