Kristoffer Rank Rasmussen

Personal homepage

CV & Contact

Contact

Address
University of Hamburg
Faculty of Mathematics, Informatics and Natural Sciences
Department of Mathematics
Bundesstraße 55
20146 Hamburg
Germany
Office
Geomatikum
Room 340
Contact
Tel: +49 40 42838-5197
Email: kristoffer(dot)rasmussen(at)uni-hamburg(dot)de

Academic positions

Oct 2023–
PhD Student in Mathematics
Department of Mathematics, University of Hamburg
Algebra and Number Theory group
Supervisor: Prof. Dr. Julian Holstein
Sep 2022–Jan 2023
Teaching Assistant
Department of Mathematical Sciences, University of Copenhagen

Research

My research focuses on derived categories of the second kind, global Koszul duality, and Hochschild cohomology.

More specifically, I study compactly generated derived categories associated with dg-algebras, with particular emphasis on identifying classes of dg-algebras for which the compact generators admit an explicit description. A better understanding of these generators provides a route towards computing the Hochschild cohomology of the corresponding compactly generated derived categories.

Education

2020–2022
MSc in Mathematics
University of Copenhagen
Specialization in algebraic topology and category theory

Master's thesis: One-dimensional factorization homology and string-nets

In my master's thesis, I studied factorization homology and string-nets. The main result establishes an equivalence between Kirillov's string-net functor and one-dimensional factorization homology with coefficients in a pivotal fusion category.

Supervisor: Lukas Jannik Woike, formerly at the Department of Mathematics, University of Copenhagen, and currently Professeur Junior at Université Bourgogne Europe and the Institut de Mathématiques de Bourgogne (IMB), Dijon.

ERASMUS exchange: Freie Universität Berlin, 30 ECTS, 2021.

2016–2020
BSc in Mathematics
University of Copenhagen

Languages

Danish Native
English Fluent, written and spoken
German B2, currently working towards C1