Academic Appointments


  • Professor, Mathematics

Administrative Appointments


  • Assistant Professor, Stanford University (2004 - 2006)
  • Assistant Professor, Stanford University (2006 - 2008)
  • Associate Professor, Stanford University (2008 - 2011)
  • Professor, Stanford University (2011 - Present)
  • Terman Fellowship, Stanford University (2007 - 2010)
  • Clay Research Fellowship, Stanford University (2007 - 2010)

Honors & Awards


  • Silver medal, Royal Danish Academy of sciences (2010)

Boards, Advisory Committees, Professional Organizations


  • Coorganizer, Homotopy of Moduli Spaces, Oberwolfach (2003 - 2003)
  • Coorganizer, Topology of Moduli Spaces, Stanford (2007 - 2007)
  • Coorganizer, Loops, Strings and Moduli Spaces, Tianjin, China (2009 - 2009)
  • Principal scientific organizer, WCATSS Summer School, Oregon (2010 - 2010)
  • Coorganizer, Algebraic Topology: Applications and New Directions, Stanford (2012 - 2012)
  • Coorganizer, Stanford topology seminar
  • Reviewer, National Science Foundation
  • Editor, Transactions of the American Mathematical Society (2013)
  • Editor, Algebraic and Geometric Topology (2010)
  • Member, Steering Committee for the Manifold Atlas Project (2013)

Professional Education


  • B. S., Aarhus University, Mathematics & Physics (1998)
  • M. S., Aarhus University, Mathematics (2002)
  • Ph. D., Aarhus University, Mathematics (2004)

2017-18 Courses


Stanford Advisees


All Publications


  • Lectures on the Madsen–Weiss Theorem Moduli Spaces of Riemann Surfaces Galatius, S. edited by Farb, B., Hain, R., Looijenga, E. IAS/Park City Mathematics Series. 2013
  • Stable homology of automorphism groups of free groups ANNALS OF MATHEMATICS Galatius, S. 2011; 173 (2): 705-768
  • Madsen-Weiss for geometrically minded topologists GEOMETRY & TOPOLOGY Eliashberg, Y., Galatius, S., Mishachev, N. 2011; 15 (1): 411-472
  • Winding Numbers I & II Girls’ Angle Bulletin Galatius, S. 2011; 5 (1&2)
  • Monoids of moduli spaces of manifolds GEOMETRY & TOPOLOGY Galatius, S., Randal-Williams, O. 2010; 14 (3): 1243-1302
  • The homotopy type of the cobordism category ACTA MATHEMATICA Galatius, S., Madsen, I., Tillmann, U., Weiss, M. 2009; 202 (2): 195-239
  • Secondary characteristic classes of surface bundles ALGEBRAIC AND GEOMETRIC TOPOLOGY Galatius, S. 2009; 9 (1): 293-303
  • Universal moduli spaces of surfaces with flat connections and cobordism theory Adv. Math. Cohen, R., Galatius, S., Kitchloo, N. 2009; 221 (4): 1227–1246
  • Divisibility of the stable Miller-Morita-Mumford classes JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Galatius, S., Madsen, I., Tillmann, U. 2006; 19 (4): 759-779
  • Mod 2 homology of the stable spin mapping class group MATHEMATISCHE ANNALEN Galatius, S. 2006; 334 (2): 439-455
  • Homotopy theory of compactified moduli space, in Analysis and Topology in Interaction Oberwolfach Report Eliashberg, Y., Galatius, S. edited by Bunke, U., Goette, S., Igusa, K., Schick, T. Mathematisches Forschungsinstitut Oberwolfach. 2006
  • Mod p homology of the stable mapping class group TOPOLOGY Galatius, S. 2004; 43 (5): 1105-1132