Nathalie Wahl

Name: Nathalie Wahl
Title: Professor (Ph.D. Oxford 2001)
Address: Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark
Office: E 4.09
Mobile: (+45) 50 19 01 35
E-mail: wahl[at]
CV: pdf

I am the director of the Copenhagen Centre for Geometry and Topology, funded by the Danish National Research Foundation DNRF.

PhD Thesis

     0.  Ribbon Braids and related operads, Ph.D. Thesis, Oxford 2001 (pdf).

Publications and Preprints

  1. Antimatroids of finite character, J. Geom. 70 (2001), no. 1-2, 168--175.
  2. Monoidal rectification of diagrams, preprint 2002 (pdf).
  3. (w. Paolo Salvatore) Framed discs operads and Batalin-Vilkovisky algebras, Quart. J. Math. 54 (2003), 213-231 (pdf).
  4. Infinite loop space structure(s) on the stable mapping class group, Topology 43 (2004), 343-368. (pdf).
  5. (with Craig A. Jensen) Automorphisms of free groups with boundaries, Algebr. Geom. Topol. 4 (2004), 543-569. (pdf)
  6. (with Allen Hatcher) Stabilization for the automorphisms of free groups with boundaries, Geom. Topol. 9 (2005) 1295-1336 (pdf, Erratum).
  7. From mapping class groups to automorphism groups of free groups, J. London Math. Soc. (2) 72 (2005) no. 2, 510-524 (pdf).
  8. (with A. Hatcher and K. Vogtmann) Erratum to: "Homology stability for outer automorphism groups of free groups" [Algebr. Geom. Topol. 4 (2004), 1253-1272] by Hatcher and Vogtmann, Algebr. Geom. Topol. 6 (2006), 573-579 (pdf).
  9. Homological stability for the mapping class groups of non-orientable surfaces, Invent. math. 171 (2008), 389-424 (pdf).
  10. (with Allen Hatcher) Stabilization for mapping class groups of 3-manifolds, Duke Math. J. 155 (2010), 205-269 (pdf).
  11. Homological stability for mapping class groups of surfaces, in: Handbook of Moduli, Vol. III, 547-583. Advanced Lectures in Mathematics 26 (2013) (pdf).
  12. (with Craig Westerland) Hochschild homology of structured algebras, Adv. Math. 288 (2016), 240-307 (pdf).
  13. Universal operations in Hochschild homology, J. Reine Angew. Math. 720 (2016), 81-127 (pdf).
  14. (with Oscar Randal-Williams) Homological stability for automorphism groups, Adv. Math. 318 (2017) 534-626 (pdf).
  15. (with Giovanni Gandini) Homological stability for automorphism groups of RAAGs, Algebr. Geom. Topol. 16 (2016), 2421-2441 (pdf).
  16. (with Markus Szymik) The homology of the Higman-Thompson groups, Invent. Math. 216 (2019), 445-518 (pdf).
  17. (with Nancy Hingston) Products and coproducts in string topology, Ann. Sci. Éc. Norm. Supér. (4) 56 (2023), no. 5, 1381–1447 (pdf).
  18. (with David Sprehn) Forms over fields and Witt's lemma, Math. Scand. 126 (2020), 401-423 (pdf).
  19. (with David Sprehn) Homological stability for classical groups, Trans. Amer. Math. Soc. 373 (2020), 4807-4861 (pdf).
  20. (with Nancy Hingston) On the invariance of the string topology coproduct, preprint 2019 (revised version, Sept 2021 pdf).
  21. (with Luciana Bonatto, Safia Chettih, Abigail Linton, Sophie Raynor and Marcy Robertson) An infinity operad of normalized cacti, Topol. Appl. 316 (2022), Paper No. 108107. (pdf).
  22. (with Florian Naef and Manuel Rivera) String topology in three flavours, EMS Surveys in Mathematical Sciences 10 (2023), p. 243-305 (pdf).
  23. Homological stability: a tool for computations. Contribution to the Proc. Int. Cong. Math. 2022, Vol. 4, pp. 2904-2927. EMS Press, Berlin, 2023 (pdf).
  24. (with Oscar Harr and Max Vistrup) Disordered arcs and Harer stability, to appear in Higher Structures (pdf).

Lecture notes

  1. The Mumford conjecture, Madsen-Weiss and homological stability for mapping class groups of surfaces, in: Moduli Spaces of Riemann Surfaces, Park City Mathematics Series Volume 20 (2013), 109--138. (pdf). There is a part II by Søren Galatius in the same volume: Lectures on the Madsen-Weiss theorem (pdf).
  2. (with Lars Hesselholt) Lineær Algebra. Third Edition, 2023 (pdf).


Geometry and Topology
Bulletin of the Belgian Mathematical Society


Words of Mathematics by Ingrid Bugge.
Warwick Math Department
Oxford Math Institute

Celine and Claire , Eloise