I am a final year PhD student under the supervision of Dr Dmitriy Rumynin and Dr Inna Capdeboscq. My current work is on Geometric representation theory. In particular, I am interested in investigating the category of smooth representations of locally compact totally disconnected topologicial groups, Kac-Moody groups and their associated buildings. Another interest of mine is monoidal categories and representations of categorical groups. You can find my CV here.
For more information, please visit my personal webpage: https://sites.google.com/view/katerinahristova/home.
You can contact me at k [dot] hristova [at] warwick [dot] ac [dot] uk.
2018/2019 academic year: This term I am one of the TAs for Algebra 2, as well as Lie algebras. I was also one of the TAs for Algebra I.
Conferences and schools:
Representations in Lie Theory and Interactions, CIRM, Luminy, France, 5–-9 November 2018.
Théorie géométrique des représentations, Besse-et-Saint-Anastaise, France, 3--7 September 2018.
Summer School on Geometric Representation Theory, IST Austria, 9--13 July 2018.
ALSPAG, Noncommutative and Non-associative Algebraic Structures in Physics and Geometry, Belfast, United Kingdom, 30 August - 2 September 2017.
Summer school: Current topics in the Theory of Algebraic Groups, Dijon, France, 3-7 July 2017.
LMS-CMI Research School: New Trends in Representation Theory - The Impact of Cluster Theory in Representation Theory, Leicester, United Kingdom, 19-23 June 2017.
HIMR Kac-Moody groups and L-functions, Nottingham, United Kingdom, 24 October - 3 November 2016.
Representation Theory of Algebraic Groups: A conference in Honour of Stephen Donkin, York, United Kingdom, 13-15 July 2016.
Postgraduate Group Theory Conference, Imperial College, London, United Kingdom, 28 June-1 July 2016.
Complete Reducibility, Geometric Invariant Theory and Buildings, Bochum, Germany, 15-19 February 2016.
Throughout my PhD, I have given the following talks:
Kac-Moody Groups - Representations, Projective Resolutions and Cosheaves, Representation
theory seminar, UNAM, Mexico City, Mexico, 14 November 2018.
Representations of Complete Kac-Moody Groups, Representations in Lie Theory and Interactions, Luminy, France, November 2018.
Frobenius Reciprocity for Topological Groups, London Algebra Colloquim, Birkbeck Univerisity, London, October 2018.
Representations of complete Kac-Moody groups, poster, Summer School on Geometric Representation Theory, IST Austria, 9--13 July 2018. Link to poster here.
Representations of complete Kac-Moody groups, Algebra and Geometry Seminar, University of Bristol, April 2018.
Frobenius reciprocity for topological groups, Algebra Seminar, University of Warwick, December 2017.
Smooth representations, projective resolutions and cosheaves, Junior Algebra Seminar, University of Cambridge, November 2017.
Projective resolutions for smooth G-modules, Noncommutative and Non-associative Algebraic Structures in Physics and Geometry, Belfast, 2017. Slides available here.
On representations of locally profinite groups, Postgraduate Seminar, University of Wariwick, 2017.
I gave two talks at HIMR Kac-Moody groups and L-functions, Nottingham, 2016:
1) Introduction to Bruhat-Tits Buildings - slides can be found here.
2) Applications of Bruhat-Tits buildings to representation theory.
Groups, graphs and magic, Ada Lovelace Day, University of Warwick, 2016. Slides available here.
Publications, preprints and papers:
1) Kac-Moody groups and Cosheaves on Davis building, with D. Rumynin, Journal of Algebra 515, 202--235. Link to the preprint here.
2) Frobenius Reciprocity for Topological Groups, to appear in Communications in Algebra. Link to online version: https://doi.org/10.1080/00927872.2018.1529773.
3) Cocompact Lattices in Locally Pro-p Complete Rank 2 Kac-Moody Groups, with I. Capdeboscq and D. Rumynin, link to preprint here.
4) General Comodule-Contramodule Correspondence in Model Categories, with J. Jones and
D. Rumynin, in preparation.
5) 2-Characters of Special Categorical Groups, with A. Wendland, in preparation.