Sitemap
A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
Pages
Posts
portfolio
publications
An opensource tool for filtered two-fluid simulations of fluidized gas-particle flows
Joint with Federico Municchi and Jan Cloete. Published in APS-DFD 2020, Chicago, 2020
We present a numerical solver based on the opensource finite volume library OpenFOAM that solves the filtered two-fluid equations for fluidized gas-particle flows using a wide range of diverse models developed in recent literature. We illustrate the phase coupling algorithm and discuss the implementation of the model of Sarkar et al. (2016). Finally, we compare the predictions from different constitutive models against experimental results using very coarse grids.
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A Laurent phenomenon for the Cayley plane
Joint with Tom Ducat. Published in SIGMA 20 (2024), 2024
We describe a Laurent phenomenon for the Cayley plane, which is the homogeneous variety associated to the cominuscule representation of \(E_6\). The corresponding Laurent phenomenon algebra has finite type and appears in a natural sequence of LPAs indexed by the \(E_n\) Dynkin diagrams for \(n\leq 6\). We conjecture the existence of a further finite type LPA, associated to the Freudenthal variety of type \(E_7\).
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A Framework for Generalized Tropical Homotopy Continuation
Joint with Yue Ren. Published in Lecture Notes in Computer Science, Springer, 2024
We present a framework for generalizing tropical homotopy continuation for computing stable intersections of tropical hypersurfaces, tropical linear spaces, and tropical inverted linear spaces. We also report on beginning implementations in OSCAR.
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talks
73rd Annual Meeting of the APS Division of Fluid Dynamics
Published:
A 3-day conference that I attended to present my internship work on computational fluid dynamics.
Interdisciplinary applications of cluster algebras
Published:
A 5-day conference at the INI focused on drawing out deep connections between cluster algebras and representation theory, combinatorics, algebraic, hyperbolic and symplectic geometry, amongst many others.
ICMS and MAC-MIGS Modelling Camp 2022
Published:
A short modelling camp where participants split into groups and solve problems with industry partners. Our team came first place for designing and implementing preprocessing pipelines for underwater ROV imaging.
Singularities, Friezes and Cluster Categories
Published:
An LMS cluster algebras conference at University of Leeds, featuring plenty of representation theory.
ISM Discovery School on Mutations
Published:
An exploration of the connections between representation theory and cluster algebras, with emphasis on combinatorial problems in tau-tilting theory.
Computational Geometry Workshop
Published:
Updates on computational geometry, including recent trends in open source computer algebra software, lattice polytopes, and Fano varieties.
Newton-Okounkov Bodies & Tropical Geometry
Published:
A meeting of many different topics (not all related to tropical geometry!) including things like Hilbert schemes, Khovanskii-finiteness for rational curves of genus two and low degree hypersurfaces, and degenerations of polarized projective varieties to complexity-one varieties.
RTG/SCGP Graduate Workshop on the Birational Complexity of Algebraic Varieties
Published:
A short winter school at the SCGP on birational geometry. I presented a speed talk on my work with linear LP algebras.
Stavanger Geometri Julemøte
Published:
A one-day conference on algebraic geometry.
Quivers, Clusters, Moduli and Stability
Published:
A meeting between geometers and algebraists, to share problems and methods in their respective fields. Topics include quiver moduli, counting sheaves and represenations of CY4 quivers, the Grassmannian cluster category and mirror symmetry, and the birational geometry of quiver varieties.
ICMS and MAC-MIGS Modelling Camp 2023
Published:
I participated in the ICMS Modelling camp again this year, choosing to model correlation for economic scenario generation.
Cluster Structures in the North
Published:
A short meeting gathering the experts in cluster theory in the North of England. Topics included maximal green sequences, growth of frieze patterns, and expansion formulae for loop graphs.
Géométrie Algébrique en Liberté (GAeL)
Published:
A meeting for early career researchers in algebraic geometry.
Tropical Geometry Meeting
Published:
A meeting for developers of the Julia OSCAR software package.
Warwick Computational Algebraic Geometry Research Network meeting
Published:
A 2-day meeting with computational algebraic geometry talks, machine learning, and computer algebra tutorials.
GLEN Workshop on Tropical Geometry
Published:
A short meeting in St. Andrews with talks on algebraic and tropical geometry.
CALF Bath meeting
Published:
A 1-day meeting for junior algebraic geometry researchers. I presented a talk on my work with Tom, A Laurent Phenomenon for the Cayley Plane.
teaching
Linear Algebra 1
Undergraduate course, Durham University, 2022
I was a TA for Durham’s Linear Algebra course, running regular tutorials and marking assignments.