Accepted papers

  1. Derived mapping spaces of $\infty$-categories. (Joint with Daniel Carranza and Chris Kapulkin.)
    Algebr. Geom. Topol. (To appear) arxiv
  2. Cubical models of $\infty$-presheaves and the Bousfield–Kan formula. (Joint with Daniel Carranza and Chris Kapulkin.)
    Advances in Math. 503, 111217. (2026) journal arxiv
  3. A context for manifold calculus.
    J. Homotopy Relat. Struct. journal arxiv
  4. A short proof of the universality of the relative Rezk nerve. (Joint with Bastiaan Cnossen.)
    Proc. Amer. Math. Soc. 154, 1849–1853. (2026) journal arxiv
  5. Homotopy limits and homotopy colimits of chain complexes.
    J. Pure Appl. Algebra 230, 108232. (2026) journal arxiv
  6. Monoidal relative categories model monoidal $\infty$-categories.
    J. Pure Appl. Algebra 230, 108183. (2026) journal arxiv
  7. Classification diagrams of simplicial categories.
    Cah. Topol. Géom. Différ. Catég. 66, 26–43. (2025) journal arxiv
  8. Monoidal envelopes of families of $\infty$-operads and $\infty$-operadic Kan extensions.
    Appl. Categ. Structures 33, 28, 40. (2025) journal arxiv
  9. Universal properties of variations of the little cubes operads.
    Münster J. Math. 18, 1–26. (2025) journal arxiv
  10. Classifying space via homotopy coherent nerve.
    Homology Homotopy Appl. 25, 373–381. (2023) journal arxiv

Preprints

  1. Hammock localization via Segal animae. (Joint with Bastiaan Cnossen.)
    arxiv: 2608.19870
  2. Relative dendroidal Rezk nerve and applications. (Joint with Victor Carmona and Francesca Pratali.)
    arxiv: 2606.11895
  3. On the equivalence of Brantner’s and Chu–Haugseng’s approaches to enriched $\infty$-operads.
    arxiv: 2603.23019
  4. On the equivalence of two approaches to multiplicative homotopy theories.
    arxiv: 2603.23018
  5. Relative operads model $\infty$-operads. (Joint with Victor Carmona and Francesca Pratali.)
    arxiv: 2512.16374
  6. The Grothendieck construction for $\infty$-categories fibered over categorical patterns.
    arxiv: 2404.01025
  7. Classification diagrams of marked simplicial sets.
    arxiv: 2311.01101