Invariants in Commutative Algebra: combinatorial aspects and prime characteristic techniques
Lead Research Organisation:
University of Sheffield
Department Name: Mathematics and Statistics
Abstract
The aim of the project is to explore various invariants of various objects in commutative algebra where either the Frobenius endomorphism (prime characteristic) or additional combinatorial structure gives one a possible handle.
Specifically, the project will initially aim to describe (1) the attached primes and secondary decompositions of local cohomology modules and (2) generating roots of local cohomology modules with support in binomial edge ideals in prime characteristic.
Specifically, the project will initially aim to describe (1) the attached primes and secondary decompositions of local cohomology modules and (2) generating roots of local cohomology modules with support in binomial edge ideals in prime characteristic.
Organisations
People |
ORCID iD |
| Mordechai Katzman (Primary Supervisor) | |
| David Williams (Student) |
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/R513313/1 | 01/10/2018 | 30/09/2023 | |||
| 2485327 | Studentship | EP/R513313/1 | 26/10/2020 | 25/04/2024 | David Williams |
| EP/T517835/1 | 01/10/2020 | 30/09/2025 | |||
| 2485327 | Studentship | EP/T517835/1 | 26/10/2020 | 25/04/2024 | David Williams |