Interests & CV

My main field of interest is algebraic topology. I'm currently interested in the homotopy theory of classifying spaces. This includes abstract approaches to classifying spaces (p-compact groups, p-local groups), maps between classifying spaces, group cohomology, and group actions via homotopy fixed point methods.

I also have a continuing interest in the theory of unstable modules and algebras over the Steenrod algebra as well as an interest in the foundations of homotopy theory and the possibilities for doing homotopy theory in other categories.

My work often requires me to think about group theory and representation theory (mainly for finite, compact Lie, or algebraic groups).

I got my Ph.D. from MIT in 2000. I spend the academic year 2000-2001 at the Institute for Advanced Study in Princeton, and the summer 2001 at Paris XIII as a Clay Liftoff Fellow. In 2001 I moved to Univ. of Chicago as L.E. Dickson Instructor, and later Assistant Professor. I have been a professor at University of Copenhagen since 2006.

I won an 2005 Alfred P. Sloan Research Fellowship and have received NSF grants DMS-0104318 (2001-2004) and DMS-0354633 (2004-2007). I've been awarded a Ole Rømer Fellowship (2006-2010) from the Danish Resarch Council, along with their 2006 Young Elite Researcher prize. I also won a 2006 EURYI award (2007-2012) from the European Science Foundation.

I gave an invited talk about my work at the 2010 International Congress of Mathematicians in Hyderabad, India.

Since 2010 I am director of the Centre for Symmetry and Deformation, at the Department of Mathematical Sciences, University of Copenhagen, sponsored by the Danish National Research Foundation.

I am a fellow of the American Mathematical Society (class of 2018), and an editor of Acta Mathematica, Geometry & Topology, and New York Journal of Mathematics. See also here.

For copies of my papers see here. My work is reviewed on MathSciNet. My preprints are on the ArXiv. You can see my mathematical genealogy here.

Here is a detailed vita.