Theo Raedschelders

RESEARCH INTERESTS

My research is in noncommutative algebraic geometry and related topics in deformation theory, homological algebra and representation theory. More specifically, I like to think about Hochschild-type invariants for enhanced triangulated categories, and am also particularly interested in smoothness and properness for such categories, in relation to the existence of geometric realizations. As a byproduct, I also study Fourier-Mukai transforms and their deformations (often associated to moduli spaces of some kind, such as Hilbert schemes), and am doing a lot of explicit computations involving noncommutative motives, Koszul duality and representations of finite dimensional algebras.
PUBLICATIONS & PREPRINTS

1. Derived categories of flips and cubic hypersurfaces
with Pieter Belmans and Lie Fu
arXiv
2. Proper connective differential graded algebras and their geometric realizations
with Greg Stevenson
arXiv
3. New examples of non-Fourier-Mukai functors
with Alice Rizzardo and Michel Van den Bergh
arXiv
4. Hochschild cohomology and deformations of  $$\mathbb{P}$$-functors
with Ciaran Meachan
arXiv
5. On solvability of the first Hochschild cohomology of a finite-dimensional algebra
with Florian Eisele
to appear in Transactions of the American Mathematical Society (2019)
arXiv
6. The Frobenius morphism in invariant theory II
with Špela Špenko and Michel Van den Bergh
arXiv
7. Hilbert squares: derived categories and deformations
with Pieter Belmans and Lie Fu
Selecta Mathematica New Series 25, no. 3, 25:37 (2019)
Journal | arXiv
8. The Tannaka-Krein formalism and (re)presentations of universal quantum groups
with Michel Van den Bergh
Chapter in: Quantum Groups and Noncommutative Geometry , by Yuri I. Manin, Second Edition, CRM Short Courses, Springer (2018)
Book | arXiv
9. The Frobenius morphism in invariant theory
with Špela Špenko and Michel Van den Bergh
Advances in Mathematics 348, 183-254 (2019)
Journal | arXiv
10. Non-split Severi-Brauer varieties do not admit full exceptional collections
not intended for publication (2016)
arXiv
11. Derived categories of noncommutative quadrics and Hilbert squares
with Pieter Belmans
published online ahead of print in International Mathematics Research Notices (2018)
Journal | arXiv
12. A reduction theorem for tau-rigid modules
with Florian Eisele and Geoffrey Janssens
Mathematische Zeitschrift 290 (3-4), 1377-1413 (2018)
Journal | arXiv
13. The representation theory of noncommutative  $$\mathcal{O}(\mathrm{GL}_2)$$
with Michel Van den Bergh
Journal of Noncommutative Geometry 11 (3), 845-886 (2017)
Journal | arXiv
14. The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary
with Michel Van den Bergh
Advances in Mathematics 305, 601-660 (2017)
Journal | arXiv
15. Embeddings of algebras in derived categories of surfaces
with Pieter Belmans
Proceedings of the American Mathematical Society 145 (7), 2757-2770 (2017)
Journal | arXiv

16. My arXiv profile is here and my Google Scholar profile is here.