Oliver Clarke

About

I am a Postdoctoral Research Associate within mathematics at the University of Edinburgh working with Dimitra Kosta and funded by the Royal Society grant PUMAS. My general area of research is  combinatorial commutative algebra with applications to algebraic geometry and algebraic statistics.  Here is my CV.

Between May and December 2022, I was a JSPS short-term postdoctoral fellow (see FY 2020-2021 program) working with Akihiro Higashitani at Osaka University.

I received my PhD from the Unviersity of Bristol in 2022. My PhD supervisor was Fatemeh Mohammadi and my non-academic supervisor at Bristol was Jeremy Rickard.

Details

• Address: The University of Edinburgh, James Clerk Maxwell Building, Peter Guthrie Tait Rd, Edinburgh EH9 3FD

• Office: 5420, James Clerk Maxwell Building

• Email: oliver (dot) clarke (at) ed (dot) ac (dot) uk

Research Topics

My research is about understanding the interconnections between algebra, combinatorics, and geometry, and their applications. Below is a list of topics featured in some of my recent research:

• Ehrhart Theory and Symmetric Polytopes,

• Toric Degenerations of Grassmannians and Flag Varieties,

• Combinatorial Mutations of Polytopes,

• Conditional Independence Models and Maximum Likelihood Degree in Algebraic Statistics,

• Markov Bases and Toric Ideals,

• Matroid Theory and Matroid Varieties/Stratifications,

• Grobner Bases and their Applications,

• Khovanskii (SAGBI) Bases and Newton-Okounkov bodies,

• Polyhedral and Tropical Geometry,

• Computational Algebra and Geometry.