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Profile
| Academic position | Full Professor |
|---|---|
| Research fields | Geometry, Topology |
| Keywords | index theory, operator algebras, K-theory, mathematical physics |
Current contact address
| Country | Australia |
|---|---|
| City | Canberra |
| Institution | Australian National University |
| Institute | Mathematical Sciences Institute (MSI) |
| Homepage | http://www.maths.anu.edu.au/~acarey/ |
Host during sponsorship
| Prof. Dr. Dr. h.c. Joachim Cuntz | Mathematisches Institut, Universität Münster, Münster |
|---|---|
| Prof. Wolfgang Lück | Mathematisches Institut, Universität Münster, Münster |
| Prof. Wolfgang Lück | Mathematisches Institut (MI), Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn |
| Prof. Dr. Christoph Wockel | Fachbereich Mathematik, Schwerpunkt Algebra und Zahlentheorie, Universität Hamburg, Hamburg |
| Start of initial sponsorship | 01/11/2010 |
Programme(s)
| 2010 | Humboldt Research Award Programme |
|---|
Nominator's project description
| Professor Carey is one of the most distinguished mathematicians in Australia and has been holding the prestigious position of director of the Mathematical Sciences Institute at Canberra National University since 2002. He is a leading expert in Mathematical Physics. His results on operator algebras, index theory and quantum field theory have helped to shape the field of Noncommutative Geometry. This is a new field of Mathematics that aims to analyse the structure of exotic geometries such as the structure of space or of space-time at quantum level. In Germany Carey will continue his work on invariants constructed from equilibrium states and weights as well as on index theory and twisted K-theory. |
Publications (partial selection)
| 2015 | Christopher Bourne, Alan Lawrence Carey, Adam Rennie: . In: Letters in Mathematical Physics, 2015, 1253-1273 |
|---|---|
| 2015 | Alan Lawrence Carey, Harald Grosse, Jens Kaad: Anomalies for Euclidean Dirac operators. In: Communications in Mathematical Physics, 2015, 445-475 |
| 2015 | Alan Lawrence Carey, Victor Gayral, John Phillips, Adam Rennie, Fedor Sukochev: Spectral Flow for Nonunital Spectral Triples',. In: Canadian Journal of Mathematics, , 2015, 759-794 |
| 2014 | Alan Lawrence Carey, Fritz Gesztesy, Denis Potapov, Fedor Sukochev, Yuri Tomilov: A Jost--Pais-Type Reduction of Fredholm Determinants and Some Applications. In: Integral Equations and Operator Theory, 2014, 389-447 |
| 2014 | Alan Lawrence Carey Victor Gayral Adam Rennie Fedor Sukochev: Index Theory for Locally Compact Noncommutative Geometries. American Mathematical Society, 2014 |
| 2013 | Alan Lawrence Carey Paul Frank Baum Bai-Ling Wang: K-cycles for twisted K-homology. In: Journal of K-theory, 2013, 69-98 |
| 2012 | Alan Lawrence Carey, Fedor Sukochev: Measurable operators and the asymptotics of heat kernels and zeta functions. In: Journal of Functional Analysis, 2012, 4582-4599 |