Søren Galatius
Professor of Mathematics
University of
Copenhagen
Phone: (+45) 35 33 05 81
e-mail:
galatius@math.ku.dk
Visiting Columbia University the academic year 2023/24.
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
.
The Alexander trick for homology spheres
, with
O. Randal-Williams
.
E
_{∞}
-cells and general linear groups of infinite fields
, with
A. Kupers
and
O. Randal-Williams
.
Publications
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.
E
_{2}
-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.