# Seth Hardy

##### About

I am a third-year PhD student studying analytic and probabilistic number theory under the supervision of Professor Adam Harper. My research thus far has primarily focused on the study of random multiplicative functions. I currently organise the Warwick Junior Number Theory Seminar.

I previously completed my MSci in Mathematics at University College London. During my 4th year, I completed a project titled 'Exploring recent developments in gaps between prime numbers' under the supervision of Dr Ian Petrow.

##### Research

*• Bounds for exponential sums with random multiplicative coefficients* (2024). International Mathematics Research Notices, rnae234. doi:10.1093/imrn/rnae234. [arXiv]*• Almost sure bounds for a weighted Steinhaus random multiplicative function* (2023). J. London Math. Soc., 110: e12979. doi:10.1112/jlms.12979. [arXiv].

##### Talks

*• Almost sure bounds for partial sums of a weighted Steinhaus random multiplicative function (June 2024), London Number Theory Study Group.• Exponential sums with random multiplicative coefficients (May 2024), Bristol Linfoot Number Theory Seminar.• Exponential sums with random multiplicative coefficients (April 2024), London Junior Number Theory Seminar.*

*• Bounds for exponential sums with random multiplicative coefficients*(March 2024), Stanford Student Analytic Number Theory Seminar.

*• Bounds for exponential sums with random multiplicative coefficients*(March 2024), FRG Grad Seminar.

*• Exponential sums with random multiplicative coefficients*(February 2024), Warwick Junior Number Theory Seminar.

*• Random multiplicative functions*(June 2023), Warwick Postgraduate Seminar.

*• The Liouville function in short intervals*(February 2023), Warwick Number Theory Study Group.

##### Writing

My MSci Thesis: Gaps between prime numbers [pdf].

The Dickman function in probability (for MA946) [pdf].

##### Teaching

Autumn Term 2024/25 - Teaching Assistant for MA4L6 Analytic Number Theory.

Spring Term 2024 - Supervisor for first year students.

Autumn Term 2023/24 - Supervisor for first year students.

Spring Term 2023 - Teaching Assistant for MA257 Introduction to Number Theory.