DTC MATH 8 - Tropical geometry and scheme theory

Over past few years Giansiracusa and others have initiated a new foundation for the type of polyhedral geometry known as tropical geometry; this foundation is rooted in the combinatorial theory of matroids, the algebra of idempotent semirings, and Grothendieck’s theory of schemes. The emerging theory is young and has many open problems and exciting potential applications to algebraic and analytic geometry. In this project the student will study relations between the topology and geometry of tropical schemes and their projective algebraic invariants such as the Hilbert polynomial.

Entry requirements

Candidates must have a minimum of an upper second class honours degree or equivalent in a relevant subject, or an appropriate Master’s degree (with Merit). Informal enquiries are welcome by emailing the project supervisor.

For candidates whose first language is not English, we require IELTS 6.0 (with 5.5 in each component) or equivalent. Please visit our website for a list of acceptable English language tests. We prefer candidates to have already met the English Language requirements at the point of application, although this is not a requirement.

How to apply

Visit our webpage for details - http://www.swansea.ac.uk/science/research/dtc/biosciences-projects-2018-19/

Please include the project ID and title in your email subject header (eg. DTC MATH xxxxxx)