See also the arXiv.

Published papers

  1. “Some stable homology calculations and Occam’s razor for Hodge structures” (with Jeremy Miller). J. Pure Appl. Algebra 218.7 (2014), pp. 1219–1223. journal, arXiv
  2. “Improved homological stability for configuration spaces after inverting 2” (with Jeremy Miller). Homology Homotopy Appl. 17.1 (2015), pp. 255–266. journal, arXiv
  3. “Homological stability for symmetric complements” (with Jeremy Miller and Trithang Tran). Trans. Amer. Math. Soc. 368.11 (2016), pp. 7745–7762. journal, arXiv
  4. “Sharper periodicity and stabilization maps for configuration spaces of closed manifolds” (with Jeremy Miller). Proc. Amer. Math. Soc. 144.12 (2016), pp. 5457–5468. journal, arXiv
  5. “Homological stability for topological chiral homology of completions” (with Jeremy Miller). Adv. Math. 292 (2016), pp. 755–827. journal, arXiv
  6. “En-cell attachments and a local-to-global principle for homological stability” (with Jeremy Miller). Mathematische Annalen (Mar. 2017). journal, arXiv
  7. “Representation stability for homotopy groups of configuration spaces” (with Jeremy Miller). J. Reine Angew. Math. 737 (2018), pp. 217–253. journal, arXiv
  8. “Three applications of delooping to h-principles”. Geom. Dedicata 202 (2019), pp. 103–151. journal, arXiv, errata
  9. “Some finiteness results for groups of automorphisms of manifolds”. Geom. Topol. 23.5 (2019), pp. 2277–2333. journal, arXiv, errata
  10. “E2-cells and mapping class groups” (with Søren Galatius and Oscar Randal-Williams). Publ. Math. Inst. Hautes Études Sci. 130 (2019), pp. 1–61. journal, arXiv
  11. “Homological stability for unlinked circles in a 3-manifold”. Q. J. Math. 71.1 (2020), pp. 335–358. journal, arXiv
  12. “On the cohomology of Torelli groups” (with Oscar Randal-Williams). Forum Math. Pi 8 (2020), e7, 83. journal, arXiv, errata
  13. “Characteristic classes of bundles of K3 manifolds and the Nielsen realization problem” (with Jeffrey Giansiracusa and Bena Tshishiku). Tunis. J. Math. 3.1 (2021), pp. 75–92. journal, arXiv
  14. “The cohomology of Torelli groups is algebraic” (with Oscar Randal-Williams). Forum Math. Sigma 8 (2020), E64. journal, arXiv
  15. “Framings of Wg,1” (wit Oscar Randal-Williams). Quarterly Journal of Mathematics, haaa057 (2020). journal, arXiv
  16. “An HP2 -bundle over S4 with non-trivial Â-genus” (with Manual Krannich and Oscar Randal-Williams). Comptes Rendus. Mathématique, Tome 359 (2021) no. 2, pp. 149-154 (2020). journal, arXiv
  17. “The May-Milgram filtration and Ek-cells” (with Inbar Klang and Jeremy Miller). Algebraic & Geometric Topology 21 (2021) 105–136. journal, arXiv, errata
  18. “On the generalized Bykovskii presentation of Steinberg modules” (with Jeremy Miller, Peter Patzt, and Jennifer C. H. Wilson). International Mathematics Research Notices, Volume 2022, Issue 13, July 2022, Pages 10347–10401 (2021). journal, arXiv
  19.  “Some hermitian K-groups using geometry” (with Manuel Krannich).  Proc. Amer. Math. Soc. 149 (2021), 2745-2752. journal, arXiv
  20. “Zeeman’s conjecture”. GJM, Volume 6, Issue 1 (2021), 35-42. journal, PDF
  21. “Improved homological stability for certain general linear groups” (with Jeremy Miller and Peter Patzt). Proc. London Math. Soc., 125: 511-542. journal, arXiv
  22. “The homotopy type of the topological cobordism category” (with Mauricio Gomez-Lopez). Doc. Math. 27, 2107-2182 (2022). journal, arXiv
  23. “Finiteness properties of automorphism spaces of manifolds with finite fundamental group” (with Mauricio Bustamante and Manuel Krannich). Math. Ann. (2023). journal, arXiv
  24. “Stability of concordance embeddings” (with Thomas Goodwillie and Manuel Krannich). Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 1-36 (2023). journal, arXiv
  25. “On the Torelli Lie algebra”  (with Oscar Randal-Williams). Forum of Mathematics, Pi (2023), 11, E13. journal, arXiv
  26. “Embedding calculus and smooth structures” (with Ben Knudsen). To appear in Geometry & Topology. arXiv
  27. “Comparing combinatorial models of moduli space and their compactifications” (with Daniela Egas Santander). To appear in Algebraic & Geometric Topology. arXiv
  28. “Embedding calculus for surfaces” (with Manuel Krannich). To appear in Algebraic & Geometric Topology. arXiv
  29. On diffeomorphisms of even-dimensional discs” (with Oscar Randal-Williams). To appear in Journal of the AMS. arXiv
  30. “Cellular Ek-algebras” (with Søren Galatius and Oscar Randal-Williams). To appear in Asterisque. arXiv
  31. “E∞-cells and general linear groups of finite fields” (Søren Galatius and Oscar Randal-Williams). To appear in Annales scientifiques de l’École normale supérieure. arXiv

Preprints

  • “Homological stability for complements of closures” (with Jeremy Miller, superseded by Kupers-Miller-Tran). arXiv
  • “Proving homological stability for homeomorphisms of manifolds.” arXiv
  • “Voronoi complexes in higher dimensions, cohomology of GLN(Z) for N≥8 and the triviality of K8(Z)” (with Mathieu Dutour Sikirić, Philippe Elbaz-Vincent, and Jacques Martinet). arXiv
  • “E∞-cells and general linear groups of infinite fields” (with Søren Galatius and Oscar Randal-Williams).  arXiv
  • “There is no topological Fulton-MacPherson compactification“. arXiv
  • “On Torelli groups and Dehn twists of smooth 4-manifolds” (with Manuel Krannich). arXiv
  • “Mapping class groups of manifolds with boundary are of finite type”. arXiv
  • “The Disc-structure space” (with Manuel Krannich). arXiv
  • “Two remarks on spaces of maps between operads of little cubes” (with Geoffroy Horel and Manuel Krannich). arXiv
  • “The first two Postnikov invariants of Top/O”. arXiv
  • “Mapping class groups of exotic tori and actions by SLd(Z)” (with Mauricio Bustamante, Manuel Krannich, and Bena Tshishiku). arXiv