Since April 2021, I am a postdoc at the Max Planck Institute of Mathematics in Bonn.
During the Spring semester 2020, I received a Doc.Mobility grant from the Swiss National Foundation and participated in the MSRI program Higher categories and categorification in Berkeley.
My research lies in the field of algebraic topology, and focuses on different aspects of higher category theory and homotopy theory.
I am in particular interested in 2-dimensional category theory: 2-categories, double categories, and (∞,2)-categories.
|Mar. 2019||Injective and projective model structures on enriched diagram categories|
In: Homology, Homotopy, and Applications. 21.2 (2019), pp. 279-300,
Preprints on arXiv
|Jan. 2020||Stable homotopy hypothesis in the Tamsamani model|
Joint with Viktoriya Ozornova, Simona Paoli, Maru Sarazola, and Paula Verdugo, arXiv:2001.05577
Proceedings of Women in Topology III to appear in Topology and Its Applications.
|Apr. 2020||2-limits and 2-terminal objects are too different|
Joint with tslil clingman, arXiv:2004.01313
|Apr. 2020||A 2Cat-inspired model structure for double categories|
Joint with Maru Sarazola, and Paula Verdugo, arXiv:2004.14233
|July 2020||A model structure for weakly horizontally invariant double categories|
Joint with Maru Sarazola, and Paula Verdugo, arXiv:2007.00588
|July 2020||A double (∞,1)-categorical nerve for double categories|
|Sep. 2020||Bi-initial objects and bi-representations are not so different|
Joint with tslil clingman, arXiv:2009.05545
PhD and Master Thesis
In my PhD thesis, I studied the homotopical relations between 2-dimensional categories and their ∞-analogues. It is a compilation of the papers A 2Cat-inspired model structure for double categories and A model structure for weakly horizontally invariant double categories, joint with Maru Sarazola and Paula Verdugo, and my paper A double (∞,1)-categorical nerve for double categories. In the first two papers, we construct two different model structures on the category of double categories which are compatible with Lack’s model structure on the category of 2-categories through the horizontal embedding. In the last paper, I construct a nerve functor from double categories to double (∞,1)-categories, which has the correct homotopical properties, and I show that it restricts along the horizontal embedding to a nerve functor from 2-categories to (∞,2)-categories in the form of 2-fold complete Segal spaces.
Master Thesis: Basic Localizers and Derivators