Combinatorial and Computational Tropical Geometry with a view towards applications

Lead Research Organisation: University of Bristol
Department Name: Mathematics

Abstract

Combinatorial algebraic geometry is the study of varieties with a combinatorial structure. Tropical varieties form an important part of this field. Due to combinatorial tools, such varieties play an important role in commutative algebra, algebraic geometry and combinatorics. This project concerns the study of tropicalisation of varieties and their degenerations into toric varieties and exploring further connections with cluster algebra, and theoretical physics, with a view towards applications in statistics.

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/R513179/1 01/10/2018 30/09/2023
2271342 Studentship EP/R513179/1 23/09/2019 22/09/2023 Luke Kershaw