I am a postdoc at the KTH Royal Institute of Technology.
Before coming to KTH, I used to be a postdoc at the
University of Copenhagen
Department of Mathematical Sciences, where I was
a member of the
and part of the
Centre for Symmetry and Deformation.
I received my PhD from Stanford University in
2010. My advisor there was Professor
My research interests lie in algebraic topology and homotopy theory,
in particular string topology, parametrized homotopy theory, and field theories.
Currently I am especially interested in the string topology of classifying
for the talk I gave at the Goodwillie birthday conference in Dubrovnik
on my work on string topology of classifying spaces.
for an earlier short talk I gave on the same subject at the
Fourth Arolla Conference on Algebraic Topology.
Department of Mathematics
- Email: aslahtin [at] kth.se
- Phone: +46 722 843 036
Higher operations in string topology of classifying spaces
(September 29, 2014; still missing the computation of
the map α^G_2 for G a torus and a discussion of
the stability of the homology classes of
Hol(Fn) and Aut(Fn) constructed.)
This paper provides explicit computations
of a wealth of non-trivial
higher string topology operations for a number of different
compact Lie groups, and includes applications to the homology of
holomorphs and automorphism groups of free groups
as well as the homology of affine groups over the integers and
the field of two elements.
On string topology of classifying spaces
joint with Richard Hepworth, submitted for publication.
The Atiyah–Segal completion theorem in twisted K-theory
Algebraic & Geometric Topology 12 (2012) 1925–1940.
String topology and twisted K-theory
PhD thesis, Stanford, 2010.
Some things I have been involved in organizing
I was also a co-organizer of the Copenhagen Topology Seminar 2012-13.