Posters and Spotlights
Start Date
30-4-2025 11:30 AM
Document Type
Event
Description
The PI currently holds two awards: NSF DMS 2401461 (Zeros of L-functions and Arithmetic) and NSF DMS 2101912 (The Distribution of the Zeros of L-functions and Related Questions). These awards concern research in number theory, a very active area of mathematics. L-functions have played a pivotal role in the modern development of number theory and they can be used to study a wide variety of problems. The tools used to study L-functions draw from many branches of mathematics including analysis, algebra, algebraic geometry, representation theory, and mathematical physics while number theory has important applications outside of mathematics to fields such as theoretical computer science and cryptography. Many of the topics investigated in these projects concern the distribution of zeros of L-functions and related topics in arithmetic. This relationship is central to two of the seven Millennium Prize Problems, the Riemann hypothesis and the Birch and Swinnerton-Dyer conjecture. These awards aim to use tools from the theory of L-functions to make new progress on some classical problems in number theory as well as establish new connections between the theory of L-functions to fields such as Fourier analysis and additive combinatorics. The investigator will continue training and mentoring graduate students in this research area, and this project will provide research training opportunities for them.
Relational Format
report
Recommended Citation
Milinovich, Micah, "Zeros of L-functions and Arithmetic" (2025). Showcase of Research and Scholarly Activity. 73.
https://egrove.olemiss.edu/ored_showcase/2025/posters/73
Accessibility Status
Searchable text
Zeros of L-functions and Arithmetic
The PI currently holds two awards: NSF DMS 2401461 (Zeros of L-functions and Arithmetic) and NSF DMS 2101912 (The Distribution of the Zeros of L-functions and Related Questions). These awards concern research in number theory, a very active area of mathematics. L-functions have played a pivotal role in the modern development of number theory and they can be used to study a wide variety of problems. The tools used to study L-functions draw from many branches of mathematics including analysis, algebra, algebraic geometry, representation theory, and mathematical physics while number theory has important applications outside of mathematics to fields such as theoretical computer science and cryptography. Many of the topics investigated in these projects concern the distribution of zeros of L-functions and related topics in arithmetic. This relationship is central to two of the seven Millennium Prize Problems, the Riemann hypothesis and the Birch and Swinnerton-Dyer conjecture. These awards aim to use tools from the theory of L-functions to make new progress on some classical problems in number theory as well as establish new connections between the theory of L-functions to fields such as Fourier analysis and additive combinatorics. The investigator will continue training and mentoring graduate students in this research area, and this project will provide research training opportunities for them.