Accepted papers

1. A context for manifold calculus.
   To appaer in J. Homotopy Relat. Struct. arxiv
2. Monoidal relative categories model monoidal $\infty$-categories.
   To appear in J. Pure Appl. Algebra journal arxiv
3. A short proof of the universality of the relative Rezk nerve. (Joint with Bastiaan Cnossen.)
   To appear in Proc. Amer. Math. Soc. arxiv
4. Classification diagrams of simplicial categories.
   Cah. Topol. Géom. Différ. Catég. 66, 26–43. (2025) journal arxiv
5. Monoidal envelopes of families of $\infty$-operads and $\infty$-operadic Kan extensions.
   Appl. Categ. Structures 33, 28, 40. (2025) journal arxiv
6. Universal properties of variations of the little cubes operads.
   Münster J. Math. 18, 1–26. (2025) journal arxiv
7. Classifying space via homotopy coherent nerve.
   Homology Homotopy Appl. 25, 373–381. (2023) journal arxiv

Preprints

1. Relative operads model $\infty$-operads. (Joint with Victor Carmona and Francesca Pratali.)
   arxiv: 2512.16374
2. Cubical models of $\infty$-presheaves and the Bousfield–Kan formula. (Joint with Daniel Carranza and Chris Kapulkin.)
   arxiv: 2511.12809
3. Derived mapping spaces of $\infty$-categories. (Joint with Daniel Carranza and Chris Kapulkin.)
   arxiv: 2509.10288
4. The Grothendieck construction for $\infty$-categories fibered over categorical patterns.
   arxiv: 2404.01025
5. Classification diagrams of marked simplicial sets.
   arxiv: 2311.01101
6. Homotopy limits and homotopy colimits of chain complexes.
   arxiv: 2310.00201

In Preparation

1. On Pavlov’s conjecture on symmetric monoidal model categories.
   draft
2. On the equivalence of Brantner’s and Chu–Haugseng’s approaches to enriched $\infty$-operads. draft