About

Since April 2021, I am a postdoc at the Max Planck Institute of Mathematics in Bonn.

I did my PhD at EPFL, under the supervision of Jérôme Scherer and Kathryn Hess, and graduated in February 2021.

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.

Before, I did my BSc and MSc in mathematics at EPFL and completed my master thesis at Johns Hopkins University, under supervision of Emily Riehl.

Research Interest

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.

Publications

Mar. 2019Injective and projective model structures on enriched diagram categories
In: Homology, Homotopy, and Applications. 21.2 (2019), pp. 279-300,
doi:10.4310/HHA.2019.v21.n2.a15

Preprints on arXiv

Jan. 2020Stable 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. 20202-limits and 2-terminal objects are too different
Joint with tslil clingman, arXiv:2004.01313
Apr. 2020A 2Cat-inspired model structure for double categories
Joint with Maru Sarazola, and Paula Verdugo, arXiv:2004.14233
July 2020A model structure for weakly horizontally invariant double categories
Joint with Maru Sarazola, and Paula Verdugo, arXiv:2007.00588
July 2020A double (∞,1)-categorical nerve for double categories
arXiv:2007.01848
Sep. 2020Bi-initial objects and bi-representations are not so different
Joint with tslil clingman, arXiv:2009.05545

PhD and Master Thesis

PhD Thesis: Homotopical relations between 2-dimensional categories and their infinity-analogues

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