Domain > math.caramdir.at

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Date	IP Address
2025-01-26	52.24.228.223 (ClassC)

HTTP/1.1 200 OKServer: nginx/1.10.3 (Ubuntu)Date: Mon, 28 Aug 2023 09:32:22 GMTContent-Type: text/htmlContent-Length: 5489Last-Modified: Wed, 29 Sep 2021 02:22:28 GMTConnection: keep-aliveETag: 6153cd

!DOCTYPE HTML>html>head>title>Clemens Koppensteiner/title>meta charsetutf-8 />link hrefmain.css relstylesheet typetext/css />style>	#publications li {		margin-bottom: 0.5ex;	}	#publications li:last-chile {		margin-bottom: 0ex;	}/style>/head>body>h1>Clemens Koppensteiner/h1>img stylefloat:right; width:200px srcpicture.jpg altClemens Koppensteiner/>I was a Postdoctoral Research Assistant at the University of Oxfords a hrefhttps://www.maths.ox.ac.uk>Mathematical Institute/a>.p>E-mail: a hrefmailto:clemens@koppensteiner.site>clemens@koppensteiner.site/a>br/>p>a hrefcv.pdf>(Academic) CV/a>,a hrefhttps://arxiv.org/search/math?searchtypeauthor&queryKoppensteiner%2C+C>ArXiv/a>,a hrefhttps://github.com/Caramdir>Github/a>!--h2>Seminar/h2>p>I co-organize the a hrefalggeom-seminar/>Algebra and Algebraic Geometry Seminar/a> at UBC./p>-->h2>Research/h2>p>My main area of work is broadly within algebraic geometry, taking inspiration from representation theory.As such, my work takes ideas and insights that arise in (geometric) representation theory and puts them into a wider geometric context.Conversely this wider context can than be used to increase our understanding of representation theoretic questions./p>p>My main focus is on different types of derived categories of sheaves.These are gadgets associated to a geometric or topological space which can be viewed as a kind of linearization.Thus they are often more tractable to algebraic study, while still retaining information about the underlying space.Simultaneously, such categories can be used to encode questions from other fields of mathematics, most notably representation theory.This allows for the use of geometric methods in the study of such questions./p>p>The concrete topics I am working on include t-structures on categories of coherent sheaves, categorical algebra actions, D-modulesin logarithmic geometry and Riemann–Hilbert correspondences, and Hochschild cohomology and support theory forD-modules on stacks./p>h3>Publications & Preprints/h3>ul idpublications>	li>em>

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Domain > math.caramdir.at

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