# Katerina Hristova

I am a third 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'm interested in investigating the category of smooth representations of locally compact totally disconnected topologicial groups, Kac-Moody groups and their associated buildings.

I am one of the organisers for the Reading Seminar on Algebraic Groups running in **Term 2 this **academic** year**.

You can contact me on k dot hristova at warwick dot ac dot uk.

**Teaching:**

**2017/2018 **academic year: I am of the TAs for MA249 Algebra II and the TA for MA474 Representation theory.

**2016/2017** academic year: I was one of the TAs for Algebra II. In term 1 I was doing the support classes for Algebra I and Lie groups.

**2015/2016** academic year: I was the TA for Algebra I, Tensors, spinors and rotations and Ring theory as well as the supervisor to two groups of second year maths students.

**Conferences and schools:**

**Complete Reducibility, Geometric Invariant Theory and Buildings**, Bochum, Germany, 15-19 February 2016.

**Postgraduate Group Theory Conference, **Imperial College, London, United Kingdom, 28 June-1 July 2016.

**Representation Theory of Algebraic Groups: A conference in Honour of Stephen Donkin**, York, United Kingdom, 13-15 July 2016.

**HIMR Kac-Moody groups and L-functions**, Nottingham, United Kingdom, 24 October - 3 November 2016.

LMS-CMI Research School:** New Trends in Representation Theory - The Impact of Cluster Theory in Representation Theory,** Leicester, United Kingdom, 19-23 June 2017.

Summer school:** Current topics in the Theory of Algebraic Groups**, Dijon, France, 3-7 July 2017.

ALSPAG, **Noncommutative and Non-associative Algebraic Structures in Physics and Geometry**, Belfast, United Kingdom, 30 August - 2 September 2017.

**Talks:**

**Ada Lovelace Day**, University of Warwick, 2016: Groups, graphs and magic. Slides available here.

**HIMR Kac-Moody groups and L-functions**, Nottingham, 2016 - I gave two talks.

1) Introduction to Bruhat-Tits Buildings - slides can be found here.

2) Applications of Bruhat-Tits buildings to representation theory.

**Postgraduate Seminar**, University of Wariwick, 2017: On representations of locally profinite groups.

**Noncommutative and Non-associative Algebraic Structures in Physics and Geometry**, Belfast, 2017: Projective resolutions for smooth G-modules. Slides available here.

**Junior Algebra Seminar, **University of Cambridge, November 2017: Smooth representations, projective resolutions and cosheaves.

**Algebra Seminar, **University of Warwick, December 2017: Frobenius reciprocity for topological groups.

**Publications, preprints and papers:**

1) **Kac-Moody groups and Cosheaves on Davis building** - joint work with Dr Dmitriy Rumynin - currently on the arXiv, link can be found here.

2) **Frobenius Reciprocity for Topological Groups, **for a** **link to the preprint click here.