Ged Corob Cook
PhD, MMath (Cantab), MA (Cantab)
MSc Finance and Economics student
London School of Economics and Political Science
G.Corob-Cook@lse.ac.uk
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I am a student in MSc Finance and Economics at LSE, with a background in pure maths research, looking for opportunities to apply my skills to quantitative finance. I have completed maths post-docs at the University of Lincoln, the University of the Basque Country and the University of Southampton, on topics including topological groups, homological algebra, and probabilistic finiteness conditions for profinite groups, establishing the exciting new area of Weil zeta functions for these groups.
Qualifications
PhD in Mathematics, Royal Holloway, University of London (2016)
MMath, University of Cambridge (2012)
BA, University of Cambridge (2012)
Publications and preprints
On Weil Representation Zeta Functions of Finite Extensions
with Steffen Kionke
to appear.
Solid Duality for Profinite Groups
with Max Gheorghiu, Sofia Marlasca Aparicio and Thomas Wasserman
to appear.
Elementary Amenable Totally Disconnected, Locally Compact Groups
to appear.
Weil Zeta Functions of Group Representations over Finite Fields
with Steffen Kionke and Matteo Vannacci
Selecta Mathematica 30 (2024), 46.
Counting Irreducible Modules for Profinite Groups
with Steffen Kionke and Matteo Vannacci
Revista Matemática Iberoamericana 39 (2023), 4, 1519-1566.
Subgroups, hyperbolicity and cohomological dimension for totally disconnected locally compact groups
with Shivam Arora, Ilaria Castellano and Eduardo Martínez-Pedroza
Journal of Topology and Analysis 15 (2023), 1, 223-249.
Probabilistic Finiteness Properties for Profinite Groups
with Matteo Vannacci
Journal of Algebra 574 (2021), 584-616.
A Property of the Lamplighter Group
with Ilaria Castellano and Peter Kropholler
Topological Algebra and its Applications 8 (2020), 1, 1-4.
Finiteness Properties of Totally Disconnected Locally Compact Groups
with Ilaria Castellano
Journal of Algebra 543 (2020), 54-97.
Eilenberg-MacLane Spaces for Topological Groups
Axioms 8 (2019), 3, 90.
Homotopical algebra in categories with enough projectives
to appear.
On the Dimension of Classifying Spaces for Families of Abelian Subgroups
with Victor Moreno, Brita Nucinkis and Federico Pasini
Homology, Homotopy and Applications 19 (2017), 2, 83-87.
Continuous Cohomology and Homology of Profinite Groups
with Marco Boggi
Documenta Mathematica 21 (2016), 1269-1312.
On Profinite Groups of Type FP∞
Advances in Mathematics 294 (2016), 216-255.
Bieri-Eckmann Criteria for Profinite Groups
Israel Journal of Mathematics 212 (2016), 2, 857-893.
The Penrose tiling is an aperiodic tiling of the plane (that is, it never repeats), which can be produced by projecting a strip of a five-dimensional lattice onto two dimensions. By changing which strip we choose, we can get infinitely many different patterns.
These pictures represent three-dimensional patterns, made by a single shape (the golden rhombus), which project onto Penrose tilings in two dimensions. They can be produced by projecting a two-dimensional strip of a six-dimensional lattice into three dimensions. The shading shows the tilt of each rhombus, while the two colours represent the two angles the rhomboi can have to the vertical.
This is part of an ongoing project.
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