Arthur Pander Maat

I am currently a fourth-year PhD student at Queen Mary's University of London, being supervised by Behrang Noohi (QMUL) and Ivo Dell'Ambrogio (Université de Lille).

In 2018 I completed a 4-year MMath degree at the University of Oxford.

I can be reached at a.j.m.pandermaat[at]qmul[dot]ac[dot]uk.

Research interests

My interests lie in non-commutative geometry, homotopy theory, and category theory. Specifically, at the moment I am thinking about:

Different homotopical models for C*-algebras and -categories
Properties of semicategories and their multipliers
Representing groupoids in C*-categories
Adjunctions (or conjugacies) of Hilbert modules

Writing by me

Hilbert modules over C∗-categories: this is a preprint based on the first chapters of my thesis.

Here is my master's dissertation on the Atiyah-Segal completion theorem, supervised by André Henriques.

Talks

Below is a list of talks I've given:

Hilbert modules over C*-categories, NYC NCG seminar. Slides, Video. This is a more extended presentation of my thesis material, along with some new work on the same topic.

The Eilenberg-Watts theorem and Morita theory over C*-categories, NSeaG conference 2023, Bonn. Video recording. This is a (hopefully accessible) summary of my thesis results so far in under 30 minutes.

Four Eilenberg-Watts theorems, Topology seminar at Université de Lille, December 2022

Categorical Galois Theory: QMUL Galois Theory Seminar, March 2021. Whiteboard

Foundations of ring spectra: eCHT Commutative Ring Spectra Seminar, January 2021. Slides

Brown representability: eCHT Kan Seminar, September 2020. Slides

Limits, adjunctions and databases: UCL Applied Category Theory reading group, May 2020

Examples of non-affine schemes, QMUL Algebraic Geometry reading group, April 2020

Local and global homotopy limits, QMUL Homotopy Theory reading group, March 2020

The functor tensor product and the bar construction, QMUL Homotopy Theory reading group, February 2020

Model categories, QMUL Homotopy Theory reading group, november 2019. Notes (see footnote 1)

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