Selected Talks
My main research interests are mathematical physics, topology, and
category theory, and in particular, how "higheralgebraic" ideas from
category theory can illuminate questions in quantum gravity and the
foundations of quantum mechanics. This has connections to Wittentype
pathintegral invariants for manifolds, combinatorics, representation
theory, and more.
Relating to ETQFT's and Gravity
 Extended TQFT in a Bimodule Category, given at Workshop on Representation Theoretical and Categorical Structures in Quantum Geometry and Conformal Field Theory
in Erlangen, Germany  October 2011. This one contains discussion of
the cohomological twisting of the span category which is used to
reproduce the twisted DijkgraafWitten model.
 Extended Field Theories and Higher Gauge Theory, from Quantum Theory and Gravitation, Zurich, 2011. This one is brief, aimed at a physics audience (more or less)
 Extended
TQFT from Gauge Theories: From the workshop Higher Structures in Geometry and Topology V, Hamburg, May 2011  this one explains the infinitedimensional case in the most detail.
 Extended
TQFT from Induced Representations: From the workshop
on Higher Gauge Theory, TQFT, and Categorification, Cardiff University, May 2011. This emphasizes the representation theoretic aspects
 Extended
TQFT from (Higher) Gauge Theories: From the workshop
on Higher Gauge Theory,
TQFT, and Quantum Gravity that I helped organize at IST in Feb
2011.
 2Linearization in Physics and Topology: A talk given at the XIX Oporto Meeting in Faro, Portugal.
 Slides
for a talk given at the conference "Connections in Geometry and Physics"
organized by the Perimeter Institute for Theoretical Physics, the
Fields Institute, and the University of Waterloo, held at the Perimeter
Institute in Waterloo, Canada, May 810, 2009
Relating to spans, groupoids, and 2vector spaces
Relating to 2groupoids and higher gauge theory
From the Seminar on Groupoids/Stacks/Algebras
Relating to the Quantum Harmonic Oscillator
