Thursday, April 28 2022
15:30 - 17:00

Alladi Ramakrishnan Hall

Quantitative Diophantine approximation for generic ternary diagonal forms

Vinay Kumaraswamy


In this talk, I will discuss the problem of finding ‘small’ solutions to Diophantine inequalities involving diagonal ternary quadratic forms. We study this problem on average over a one-parameter family of forms. Building on work by Bourgain and Schindler, I will present new results examining this problem over the primes, as well as a generalisation to inhomogeneous forms. This is joint work with Anish Ghosh.

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