Domain > mattbooth.info

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Date	IP Address
2025-11-18	3.5.245.192 (ClassC)
2025-11-18	3.5.246.141 (ClassC)
2026-01-04	3.5.245.39 (ClassC)

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!DOCTYPE html>html>head>meta nameviewport contentwidthdevice-width, initial-scale1>meta charsetutf-8>title>Matt Booth/title>link relstylesheet typetext/css hrefstyle.css>/head>body>div classtopnav>  a classactive hrefhttp://mattbooth.info>Matt Booth/a>  a hrefhttp://mattbooth.info/writing.html>papers and preprints/a>  a hrefhttp://mattbooth.info/confs.html>conferences/a>  a hrefhttp://mattbooth.info/talks.html>talks/a>  a hrefhttp://mattbooth.info/quiz.html>quiz/a>  a hrefhttp://mattbooth.info/tcc.html>TCC course/a>/div>hr>div stylepadding-left:100px; padding-right:100px;>img stylefloat: right; padding-left: 20px; padding-bottom:40px; width300px srcpic.jpg>  h2>About/h2>  p>I am a Heilbronn Research Fellow at a hrefhttps://www.imperial.ac.uk/mathematics/>Imperial College London/a>, in the a hrefhttps://www.imperial.ac.uk/geometry/>Geometry/a> research group./p>Previously, I was a Senior Research Associate at a href https://www.lancaster.ac.uk/maths/>Lancaster/a> with a hrefhttps://www.maths.lancs.ac.uk/~lazarev/>Andrey Lazarev/a>, and a postdoc at a hrefhttps://www.uantwerpen.be/en/research-groups/fundamental-mathematics/>Antwerp/a> with a hrefhttps://wendylowen.com/>Wendy Lowen/a> and a hrefhttp://www.mi-ras.ru/~kaledin/>Dmitry Kaledin/a>. I completed my PhD at a hrefhttp://www.maths.ed.ac.uk/>Edinburgh/a> under the supervision of a href http://www.maths.ed.ac.uk/~jpridham/>Jon Pridham/a>, defending in 2019. My a hrefhttp://mattbooth.info/papers/thesis.pdf>thesis/a> was on a derived version of the a hrefhttps://w-donovan.github.io/>Donovan/a>-a hrefhttps://www.maths.gla.ac.uk/~mwemyss/>Wemyss/a> contraction algebra. Before that, I obtained an MMath from a hrefhttps://www.maths.ox.ac.uk/>Oxford/a> in 2015./p> p>I am in a broad sense a noncommutative geometer; I am interested in anything that sits at the interfaces of algebraic geometry, homotopy theory, representation theory, and algebraic topology. I am particularly interested in:ul> li>Deformation theory: Koszul duality, prorepresentability theorems, Mac Lane cohomology for abelian categories, topological Hochschild cohomology for ring spectra and spectral categories, noncommutative and derived deformations. Applications to algebraic topology. Links between Koszul duality, derived completion, and Morita reflexivity./li>li> Derived noncommutative geometry: triangulated, dg, and spectral categories, noncommutative resolutions, contraction algebras and the homological MMP, singularity categories, matrix factorisations, Calabi-Yau algebras, links to representation theory./li>/ul>/p>p>a hrefhttp://mattbooth.info/cv.pdf>CV/a>   |   a hrefhttps://arxiv.org/a/booth_m_2.html>ArXiv/a>   |   a hrefhttps://orcid.org/0009-0001-4401-3298>ORCID/a>   |   a hrefhttps://www.genealogy.math.ndsu.nodak.edu/id.php?id258702>mathematical genealogy/a>/p>h3> Contact /h3>My email address is b>matt/b> dot b>booth/b> at b>imperial/b> dot b>ac/b> dot b>uk/b>.br>My office is Huxley 612.br>I have a hrefhttps://math.stackexchange.com/users/494458/matt-booth>math.stackexchange/a> and a hrefhttps://mathoverflow.net/users/159143/matt-booth>mathoverflow/a> accounts, although I dont use them much./p> /div>/body>/html>

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