Oliver Clarke

About

I am a Post Doctoral Research Associate within mathematics at Durham University working with Jeff Giansiracusa and Yue Ren. My general area of research is  combinatorial commutative algebra with applications to algebraic geometry and algebraic statistics.  Here is my (2023) CV.

Details

• Address: Department of Mathematical Sciences & Department of Computer Science, Durham University Upper Mountjoy Campus, Stockton Rd, Durham DH1 3LE

• Office: MCS3011

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

Previous Positions

• December 2022 - December 2024: Postdoctoral Research Associate at the University of Edinburgh working with Dimitra Kosta.

• May 2022 - December 2022: JSPS short-term postdoctoral fellow (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.

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.