Curriculum Vitae
zbMATH
MathScinet
Google Scholar

Preprints

• Hopf algebras in the cohomology of A_g, GL_n(Z), and SL_n(Z), with F. Brown, M. Chan, and S. Payne.
• E_∞-cells and general linear groups of infinite fields, with A. Kupers and O. Randal-Williams.

Publications

• The Alexander trick for homology spheres, with O. Randal-Williams.
  International Mathematics Research Notices, to appear.
• E_∞-cells and general linear groups of finite fields, with A. Kupers and O. Randal-Williams.
  Annales scientifiques de l'École normale supérieure, to appear.
• Cellular E_k-algebras, with A. Kupers and O. Randal-Williams.
  Astérisque, to appear.
• Algebraic independence of topological Pontryagin classes (arXiv), with O. Randal-Williams.
  J. Reine Angew. Math. 802 (2023), 287-305.
• The S_n-equivariant top weight Euler characteristic of M_g,n (arXiv), with M. Chan, C. Faber, and S. Payne.
  Amer. J. Math. 145 (2023), no. 5, 1549-1585.
• The Galois action on symplectic K-theory (arXiv), with T. Feng and A. Venkatesh.
  Invent. Math. 230 (2022), 225-319.
• The Equivariant Cobordism Category (arXiv), with G. Szűcs.
  J. Topol. 14 (2021), no. 1, 215-257.
• Tropical curves, graph homology, and top weight cohomology of M_g (arXiv), with M. Chan and S. Payne.
  J. Amer. Math. Soc. 34 (2021), 565-594.
• Topology of moduli spaces of tropical curves with marked points (arXiv), with M. Chan and S. Payne.
  In Facets of Algebraic Geometry: Volume in Honour of William Fulton's 80th Birthday.
• Lectures on invertible field theories (arXiv), exercises and solutions joint with A. Debray and M. Palmer.
  Chapter in Quantum Field Theory and Manifold Invariants, IAS/Park City Mathematics Series 28 (2021).
• Operations on stable moduli spaces (arXiv), with O. Randal-Williams.
  Research in the Mathematical Sciences, 7 (2020), E9.
• Moduli spaces of manifolds: a user’s guide (arXiv), with O. Randal-Williams
  Chapter in Handbook of Homotopy Theory, ed. H. Miller, CRC Press, 2020.
• E₂-cells and mapping class groups (arXiv), with A. Kupers, O. Randal-Williams.
  Publ. Math. Inst. Hautes Études Sci. 130 (2019), 1-61.
• Derived Galois deformation rings (arXiv), with A. Venkatesh.
  Adv. Math. 327 (2018), 470-623.
• Homological stability for moduli spaces of high dimensional manifolds I (arXiv), with O. Randal-Williams.
  J. Amer. Math. Soc. 31 (2018), no. 1, 215-264.
• Homological stability for moduli spaces of high dimensional manifolds II (arXiv), with O. Randal-Williams.
  Ann. of Math. 186 (2017), no. 1, 127-204.
• Tautological rings for high dimensional manifolds (arXiv), with I. Grigoriev and O. Randal-Williams.
  Compositio Math. 153, no. 4 (2017), 851-866.
• Abelian quotients of mapping class groups of highly connected manifolds (arXiv), with O. Randal-Williams.
  Math. Ann., 365 (2016), no. 1-2, 857-879.
• Moduli spaces of manifolds.
  In Proceedings of the International Congress of Mathematicians, Vol. II, 1197-1217, Kyung Moon Sa, Seoul, 2014.
• Detecting and realising characteristic classes of manifold bundles (arXiv), with O. Randal-Williams.
  In Algebraic Topology: Applications and New Directions, eds. D. P. Sinha, U. Tillmann 99-110, Contemp. Math., 620, Amer. Math. Soc., Providence, RI, 2014.
• Stable moduli spaces of high dimensional manifolds (arXiv), with O. Randal-Williams.
  Acta Math. 212 (2014), no. 2, 257-377.
  Erratum
• Lectures on the Madsen-Weiss Theorem.
  In Moduli Spaces of Riemann Surfaces, eds. B. Farb, R. Hain, E. Looijenga. IAS/Park City Mathematics Series 20 (2013).
• Madsen-Weiss for geometrically minded topologists (arXiv), with Ya. Eliashberg and N. Mishachev.
  Geom. Topol. 15 (2011), no. 1, 411-472.
• Stable homology of automorphism groups of free groups (not updated arXiv version).
  Ann. of Math. 173 (2011), no. 2, 705-768.
• Monoids of moduli spaces of manifolds (arXiv), with O. Randal-Williams.
  Geom. Topol. 14 (2010), no. 3, 1243-1302.
  Erratum
• Universal moduli spaces of surfaces with flat connections and cobordism theory (arXiv), with R. Cohen and N. Kitchloo.
  Adv. Math. 221 (2009), no. 4, 1227-1246.
• The homotopy type of the cobordism category (arXiv), with I. Madsen, U. Tillmann, and M. Weiss.
  Acta Math. 202 (2009), no. 2, 195-239.
• Secondary characteristic classes of surface bundles (arXiv).
  Algebraic & Geometric Topology 9 (2009) 293-303
• Divisibility of the stable Miller-Morita-Mumford classes (arXiv), with I. Madsen and U. Tillmann.
  J. Amer. Math. Soc. 19 (2006), no. 4, 759-779.
• Mod 2 homology of the stable spin mapping class group (arXiv).
  Math. Ann. 334 (2006), 439 - 455.
• Mod p homology of the stable mapping class group (arXiv).
  Topology 43 (2004), 1105-1132.