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Research
I have interests in functional analysis and its interactions with topology, principally the geometry of Banach spaces, renorming theory and Lipschitz-free spaces. I have also worked a little on linear dynamics, tensor products and partial differential equations.
Selected Talks
A Choquet theory of Lipschitz-free spaces, University of Granada, Spain, May 2025
Convergence analysis of the Geometric Thin-Film Equation, UCD, December 2022
Lipschitz-free spaces over unit spheres and the Metric Approximation Property, University of Murcia, March 2022
A topological characterization of dual strict convexity in Asplund spaces, Mathematical Institute, Czech Academy of Sciences, December 2019
Topology and the approximation of norms, CIRM, Luminy, March 2018
Stranger things – the fractal monsters that lurk between dimensions, UCD, October 2017 (general interest talk)
Some interesting things that do not exist, UCD, October 2015 (general interest talk)
Strictly convex norms and topology, CUNY, New York, July 2011
A festive look at the Szlenk index, UCD, December 2011
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