Søren Galatius
Søren Galatius (born 1 August 1976) is a Danish mathematician who works as a professor of mathematics at the University of Copenhagen.[1] He works in algebraic topology, where one of his most important results concerns the homology of the automorphisms of free groups.[2] He is also known for his joint work with Oscar Randal-Williams on moduli spaces of manifolds, comprising several papers.
Life
[edit]Galatius was born in Randers, Denmark. He earned his PhD from Aarhus University in 2004 under the supervision of Ib Madsen.[1][3] He then joined the Stanford University faculty, first with a temporary position as a Szegő Assistant Professor and then two years later with a tenure-track position, eventually becoming full professor in 2011. He relocated to the University of Copenhagen in 2016.[1]
Recognition
[edit]In 2010, Galatius won the Silver Medal of the Royal Danish Academy of Sciences and Letters.[1] In 2012, he became one of the inaugural fellows of the American Mathematical Society.[4] He was an invited speaker at the 2014 International Congress of Mathematicians, speaking about his joint work with Oscar Randal-Williams.[1][5] In 2017, he won an Elite Research Prize from the Danish Government for his work.[6] In 2022 he was awarded the Clay Research Award jointly with Oscar Randal-Williams.[7]
Selected publications
[edit]- Galatius, Søren; Tillmann, Ulrike; Madsen, Ib; Weiss, Michael (2009). "The homotopy type of the cobordism category". Acta Mathematica. 202 (2): 195–239. arXiv:math/0605249. doi:10.1007/s11511-009-0036-9. MR 2506750.
- Galatius, Søren (2011). "Stable homology of automorphism groups of free groups". Annals of Mathematics. 173 (2): 705–768. arXiv:math/0610216. doi:10.4007/annals.2011.173.2.3. S2CID 54829457.
- Galatius, Søren; Randal-Williams, Oscar (2018). "Homological stability for moduli spaces of high dimensional manifolds. I". Journal of the American Mathematical Society. 31: 215–268. arXiv:1403.2334. doi:10.1090/jams/884. MR 3718454. S2CID 199452925.
- Galatius, Søren; Randal-Williams, Oscar (2017). "Homological stability for moduli spaces of high dimensional manifolds. II". Annals of Mathematics. 186: 127–204. arXiv:1601.00232. doi:10.4007/annals.2017.186.1.4.
- Galatius, Søren; Randal-Williams, Oscar (2014). "Stable moduli spaces of high-dimensional manifolds". Acta Mathematica. 186 (2): 257–377. arXiv:1201.3527. doi:10.1007/s11511-014-0112-7. S2CID 119170153.
References
[edit]- ^ a b c d e "Søren Galatius, professor of topology". 27 April 2016.
- ^ Tillmann, Ulrike (2012), "Spaces of graphs and surfaces: on the work of Søren Galatius", Bulletin of the American Mathematical Society, New Series, 49 (1): 73–90, doi:10.1090/S0273-0979-2011-01360-X, MR 2869008.
- ^ Søren Galatius at the Mathematics Genealogy Project
- ^ List of Fellows of the American Mathematical Society, retrieved 19 January 2015.
- ^ Moduli spaces of manifolds, Søren Galatius, ICM 2014, accessed 18 January 2015.
- ^ Galatius receives Elite Research Prize
- ^ Clay Research Award 2022