Topics in logic and number theory
Lead Research Organisation:
University of Manchester
Department Name: Mathematics
Abstract
This project fits in the EPSRC areas of Number theory and Logic and combinatorics.
Probably, the project will involve studying interdefinability questions for expansions of the real field by restrictions of the exponential maps of abelian varieties. This is related to recent work on functional transcendence. In particular, one aim would be to show that for two sufficiently different abelian varieties, no restriction of the exponential of one is definable from any restriction of the exponential of the other.
Probably, the project will involve studying interdefinability questions for expansions of the real field by restrictions of the exponential maps of abelian varieties. This is related to recent work on functional transcendence. In particular, one aim would be to show that for two sufficiently different abelian varieties, no restriction of the exponential of one is definable from any restriction of the exponential of the other.
Organisations
People |
ORCID iD |
| Marcus Tressl (Primary Supervisor) | |
| Raymond McCulloch (Student) |
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/N509565/1 | 01/10/2016 | 30/09/2021 | |||
| 2096902 | Studentship | EP/N509565/1 | 01/10/2018 | 31/03/2022 | Raymond McCulloch |
| EP/R513131/1 | 01/10/2018 | 30/09/2023 | |||
| 2096902 | Studentship | EP/R513131/1 | 01/10/2018 | 31/03/2022 | Raymond McCulloch |