## Preprints

Feb. 2024 | Yoneda lemma and representation theorem for double categoriesJoint with Benedikt Fröhlich, arXiv:2402.10640 |
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Dec. 2023 | (∞,n)-Limits I: Definition and first consistency resultsJoint with Nima Rasekh, and Martina Rovelli, arXiv:2312.11101 |

Aug. 2023 | Internal Grothendieck construction for enriched categoriesJoint with Maru Sarazola, and Paula Verdugo, arXiv:2308.14455 |

July 2023 | An (∞,n)-categorical straightening-unstraightening constructionJoint with Nima Rasekh, and Martina Rovelli, arXiv:2307.07259 |

Jun. 2023 | A model structure for Grothendieck fibrationsJoint with Maru Sarazola, arXiv:2306.11076 |

Jan. 2023 | Fibrantly-induced model structuresJoint with Léonard Guetta, Maru Sarazola, and Paula Verdugo, arXiv:2301.07801 |

Jun. 2022 | Model independence of (∞,2)-categorical nervesJoint with Viktoriya Ozornova, and Martina Rovelli, arXiv:2206.00660 |

July 2020 | A double (∞,1)-categorical nerve for double categoriesarXiv:2007.01848 |

## Publications

Jan. 2024 | A homotopy coherent nerve for (∞,n)-categoriesJoint with Nima Rasekh, and Martina Rovelli To appear in: Journal of Pure and Applied Algebra.doi:10.1016/j.jpaa.2024.107620 |
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Jun. 2023 | A model structure for weakly horizontally invariant double categoriesJoint with Maru Sarazola, and Paula Verdugo In: Algebraic and Geometric Topology. 23.4 (2023), pp. 1725-1786.doi:10.2140/agt.2023.23.1725 |

Sep. 2022 | 2-limits and 2-terminal objects are too differentJoint with tslil clingman In: Applied Categorical Structures. 30 (2022), pp. 1283–1304.doi:10.1007/s10485-022-09691-z |

July 2022 | Bi-initial objects and bi-representations are not so differentJoint with tslil clingman In: Cahiers de Topologie et Géométrie Différentielle Catégoriques. Volume LXIII-3 (2022), pp. 259-330.cahierstgdc:volume-lxiii-2022 |

Jun. 2022 | Stable homotopy hypothesis in the Tamsamani modelJoint with Viktoriya Ozornova, Simona Paoli, Maru Sarazola, and Paula Verdugo In: Topology and Its Applications. 2022.doi:10.1016/j.topol.2022.108106 |

Apr. 2022 | A 2Cat-inspired model structure for double categoriesJoint with Maru Sarazola, and Paula Verdugo In: Cahiers de Topologie et Géométrie Différentielle Catégoriques. Volume LXIII-2 (2022), pp. 184-236.cahierstgdc:volume-lxiii-2022, extended version on arXiv:2004.14233 |

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

## 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**