Søren Galatius

Søren Galatius (born August 1, 1976 in Randers , Denmark ) is a Danish mathematician who studies algebraic topology . He is a professor at Stanford University .

Søren Galatius (right) with Michael Weiss, Oberwolfach 2003

Life

Galatius studied physics (preliminary diploma 1998) and mathematics (diploma 2002) at the University of Aarhus , where he received his doctorate under Ib Madsen in 2004 ( Characteristic Classes of Surface Bundles ). In 2004 he became Szegö Assistant Professor at Stanford, received tenure in 2006 and became Associate Professor in 2008. From 2007 to 2010 he was a Clay Research Fellow. He is a fellow of the American Mathematical Society .

Together with Ulrike Tillmann , Ib Madsen, and Michael Weiss, he simplified and generalized the proof of the Mumford conjecture about the stable homology of the mapping class groups (originally by Madsen and Weiss).

In 2010 he received the silver medal from the Danish Academy of Sciences. In 2014 he was invited speaker at the ICM in Seoul (Moduli spaces of manifolds).

Fonts (selection)

Mod homology of the stable mapping class group. ${\ displaystyle p}$ In: Topology. Volume 43, No. 5, 2004, pp. 1105-1132, doi : 10.1016 / j.top.2004.01.011 .
with Ib Madsen, Ulrike Tillmann, Michael Weiss: The homotopy type of the cobordism category. In: Acta Mathematica . Volume 202, No. 2, 2009, pp. 195-239, doi : 10.1007 / s11511-009-0036-9 .
Stable homology of automorphism groups of free groups. In: Annals of Mathematics . Series 2, Volume 173, No. 2, 2011, pp. 705-768, JSTOR 29783215 .
with Oscar Randal-Williams : Stable moduli spaces of high-dimensional manifolds. In: Acta Mathematica. Volume 212, No. 2, 2014, pp. 257-377, doi : 10.1007 / s11511-014-0112-7 .
with Oscar Randal-Williams: Homological stability for moduli spaces of high dimensional manifolds . Part 1. In: Journal of the American Mathematical Society . Volume 31, No. 1, 2018, pp. 215-264, arxiv : 1403.2334 . Part 2. In: Annals of Mathematics. Series 2, Volume 186, No. 1, 2017, pp. 127-204, arxiv : 1601.00232 .

Web links

Homepage in Stanford
Galatius at the Clay Mathematics Institute

Individual evidence

↑ Søren Galatius in the Mathematics Genealogy Project (English)
^ Galatius, Madsen, Tillmann, Weiss: The homotopy type of the cobordism category . 2006, arxiv : math / 0605249 Preprint

personal data
SURNAME	Galatius, Søren
BRIEF DESCRIPTION	Danish mathematician
DATE OF BIRTH	August 1, 1976
PLACE OF BIRTH	Randers , Denmark

[1] Søren Galatius in the Mathematics Genealogy Project (English)

[2] Galatius, Madsen, Tillmann, Weiss: The homotopy type of the cobordism category . 2006, arxiv : math / 0605249 Preprint