Dissertation defence (mathematics): MSc Yu-Chen Sun
Time
9.8.2024 at 12.00 - 16.00
MSc Yu-Chen Sun defends the dissertation in mathematics titled ”Topics in analytic number theory and additive combinatorics”.
Opponent: Associate Professor Oleksiy Klurman
Custos: Professor Kaisa Matomäki, University of Turku
The audience can participate in the defence also through remote access.
***
Summary of the Doctoral Dissertation:
In my dissertation, I explored topics in analytic number theory and additive combinatorics.
The key findings in my thesis are as follows:
• We discovered many prime patterns involving both small and large prime gaps;
• Our study focused on the average of additive characters twisted by multiplicative functions over short intervals;
• We identified additive structures within sparse subsets of primes;
• We derived asymptotic formulas for a specific class of multiplicative functions in almost all short intervals.
My research introduces new ideas that aim to enhance understanding of these two research fields.
Opponent: Associate Professor Oleksiy Klurman
Custos: Professor Kaisa Matomäki, University of Turku
The audience can participate in the defence also through remote access.
***
Summary of the Doctoral Dissertation:
In my dissertation, I explored topics in analytic number theory and additive combinatorics.
The key findings in my thesis are as follows:
• We discovered many prime patterns involving both small and large prime gaps;
• Our study focused on the average of additive characters twisted by multiplicative functions over short intervals;
• We identified additive structures within sparse subsets of primes;
• We derived asymptotic formulas for a specific class of multiplicative functions in almost all short intervals.
My research introduces new ideas that aim to enhance understanding of these two research fields.
Liisa Kallio