Kirill Mackenzie: Research work
"Differential Geometry is a field of overwhelming extent …"
Spivak wrote that in the 1970s and Differential Geometry has been growing ever since.
I am working on `multiple Lie theory'';
that is, an extension of the Lie theory of Lie groups and Lie algebras to
multiple groupoid structures.
(This is not the same as what is usually meant by
`higher structures'.)
For an idea of this work, the best place to start is now my
2011 Crelle paper.
If you cannot obtain that, a good alternative is still
an announcement article
from 1998.
An overview of my early work can be found in
the Introduction to my 2005 book..
EDITORSHIPS
CONFERENCES and VISITS
- Higher Structures 2011
- MPI, Bonn
- Bialystok
- XXX Workshop on
Geometric Methods in Physics, Bialowieza, June 26 - July 2, 2011.
-
Higher Structures in Mathematics and Physics, ESI, September - November 2010.
- Geometrie des crochets, Luxembourg, January 28 - 29, 2010.
- Workshop on topology and geometry of foliations,
Indian Statistical Institute, Kolkata, November 24 to December 6, 2008.
-
Poisson 2008, Lausanne, July 7 to 11, 2008 (Photos)
-
LMS Northern Region Meeting and Workshop on Lie algebroids and Lie groupoids in Differential Geometry, Sheffield. October2007
- XXVI Workshop on
Geometric Methods in Physics, Bialowieza, July 1 - 7, 2007.
- Gerbes,
groupoids and quantum field theory, ESI, May - July 2006.
- XXV Workshop on
Geometric Methods in Physics, Bialowieza, July 2 - 8, 2006.
-
Groupoids and stacks in physics and geometry, Luminy June--July 2004.
-
Poisson Geometry, Luxembourg, June 7 - 11, 2004.
-
Brussels-Warwick Differential Geometry Seminar, Brussels, December 2003.
-
Hayashibara Forum (Warwick--Oxford) June 2 to 6, 2003.
- Alan Weinstein
day, Utrecht, March 28, 2003
-
Geometry of Momentum Maps and Hamiltonian Dynamics, July 2002
- LMS Manchester Meeting and
Workshop, July 2001
``Quantization, deformations, and new homological and categorical methods
in mathematical physics''
- QMW
Minicourse on Symplectic and Poisson Groupoids, March 2001
- Utrecht/Amsterdam
Groupoid Seminar, 1999 - 2000
- Allgemeen
Wiskunde Colloquium, May 2000
-
Poisson 2000, Luminy
- Quantization,
Warwick, July 2000
(Some recent) PRESENTATIONS
-
Duality for multiple vector bundles, Göttingen, July 2010, and ESI Vienna, September 2010.
-
Remarks on Poisson actions, Luxembourg, January 2010.
-
Iterated bundles and Poisson geometry, York, October 2008.
-
Double Lie structures and Poisson geometry, Lausanne, July 2008.
(Some recent) Presentations at Sheffield
(Only available within Sheffield.)
SEMINARS
