My research field, number theory, studies questions related to integers. For instance, we might ask how many prime numbers there are up to some height. Can every even number greater than two be written as a sum of two primes? Although some number theorists have considered their field to be a purely theoretical affair, its role in modern-day technology cannot be underestimated. Number theory has found applications in cryptography, in error correcting codes and, even allows one to produce high quality computer graphics.
Typically in my research, I estimate the growth-rate of various functions, with the aim of producing computable results. How many primes are there up to some height in an arithmetic progression? Or how large is the generalized version of the Riemann zeta function? How many zeros does a function have inside a rectangular area in the complex plane? These problems are beautifully connected to each other, as it often happens in mathematics. It turns out that good estimates for the locations of the zeros produce better estimates for the number of primes. To gain insight about the locations of the zeros, one may benefit from good approximations for the number of zeros. This, in turn, requires good estimates for the function itself.
I obtained my doctoral degree from the Åbo Akademi University in 2020. From 2020-2024, I worked at the University of Helsinki as a postdoctoral researcher. A large part of my work time was allocated to mathematics education projects. Since October 2024, I have been a Visiting Fellow at the University of New South Wales Canberra campus, supported by a personal grant which was awarded by the Finnish Cultural Foundation.