"We have the talent, resources and ingenuity. The only limitations are our imagination and our ambition."
Alex Salmond about Scotland,
October 2011
Contact
Ulrich Krähmer
School of Mathematics and Statistics
University of Glasgow
15 University Gardens
Glasgow G12 8QW
Scotland
My office is room 303 and my phone number is: +44 141 330 6835
Email: ulrich dot kraehmer at glasgow dot ac dot uk
If you want to meet me outwith my office hours please consult my calendar and request a free slot by email.
For finding your quickest connection to or from here you can use the tranport direct mask below:
At present the following research articles are available:
"FRT-duals as quantum enveloping algebras", J. Algebra 264/1 (2003) 68-81 .pdf
"Dirac operators on quantum flag manifolds", Lett. Math. Phys. 67/1 (2004) 49-59 .pdf
"Twisted homology of quantum SL(2)", K-Theory 34/4 (2005) 327-360 (with Tom Hadfield) .pdf
"On the Hochschild homology of quantum SL(N)", C.R. Acad. Sci. Paris 343/1 (2006) 9-13 (with Tom Hadfield) .pdf
"On piecewise trivial Hopf-Galois extensions", Czech. J. Phys. 56/10-11 (2006) 1221-1226 (with Bartek Zielinski) .pdf
"On the non-standard Podles spheres", in "C*-algebras and elliptic theory II" (2008) 145-147 .pdf
"Poincare duality in Hochschild (co)homology", in "New techniques in Hopf algebras and graded ring theory" (2007) 117-126 .pdf
"Braided homology for quantum groups", J. K-Theory 4 (2009) 299-332 (with Tom Hadfield) .pdf
"On the principality of piecewise trivial comodule algebras", J. Noncomm. Geometry 5/4 (2011) 591-614 (with Piotr Hajac, Rainer Matthes, Bartek Zielinski) .pdf
"Twisted homology of quantum SL(2) - part II", J. K-Theory 6 /1 (2009), 69 - 98 (with Tom Hadfield) .pdf
"Twisted homology of quantum SL(2) - the FELIX code" .flx
"On the Hochschild (co)homology of quantum homogeneous spaces", to appear in Israel J. Math. .pdf
"The Hochschild cohomology ring of the standard Podles quantum sphere ", Arab. J. Sci. Eng. Sect. C Theme Issues 33/2 (2009) 325-335 .pdf
"Duality and products in algebraic (co)homology theories", J. Algebra 323/7, 2063-2081 (with Niels Kowalzig) .pdf
"Twisted spectral triples and covariant differential calculi" (with Elmar Wagner) .pdf
"A residue formula for the fundamental Hochschild class of the Podles sphere" to appear in J. K-Theory (with Elmar Wagner) .pdf
"A residue formula for the fundamental Hochschild class of the Podles sphere - the SINGULAR code" .sin
"Cyclic structures in algebraic (co)homology theories", Homology, Homotopy and Applications 13/1 (2011), 297-318 (with Niels Kowalzig) .pdf
"A residue formula for the fundamental Hochschild 3-cocycle for SUq(2)", \J. Lie Theory 22/2 (2012) 557-585 (with Adam Rennie and Roger Senior) .pdf
My office hours are Monday and Tuesday 12-1 and I am happy to see anyone at all.
The schedule of talks can be viewed here.
I have gathered some practical information for speakers here.
Canterbury, April 16 - April 19, 2012: "Noncommutative Geometry Session at the BMC 2012"
Oslo, June 11 - June 15, 2012: "Noncommutative geometry and quantum groups"
Cracow, July 2 - July 7, 2012: "6th European Congress of Mathematics"
Hebron, July 16 - July 18, 2012: "Third Palestinian Conference on Modern Trends in Mathematics and Physics"
Istanbul, August 7 - August 10, 2012: "Interfaces of Noncommutative Geometry with the Representation Theory of Hopf Algebras and Artin Algebrasa"
Banff, October 28 - November 2, 2012: "New Trends in Noncommutative Algebra and Algebraic Geometry"
Berkeley, January 14, 2013 - May 24, 2013: "Noncommutative Algebraic Geometry and Representation Theory"
Cambridge, January 3 - April 26, 2013: "Grothendieck-Teichmüller Groups, Deformation and Operads"
If you are organising something on noncommutative geometry or algebra or related topics please let me know, I am happy to include your event here!
"Knots as mathematical objects" .pdf
"Counting to Infinity - The principle of Mathematical Induction" .pdf
"On the foundations of mathematics" .pdf
At the University of Glasgow the masterclasses run always in autumn on four Saturday mornings. Feel free to contact me for information about future sessions and I will redirect you to the current person in charge.
These are the slides of a minicourse on Dirac operators given at the 2nd School and Conference on Noncommutative Geometry at the IPM Tehran in 2009. The topics covered and their presentation is influenced by the other courses that were given, but still it is a fairly generic introduction to the subject.
Lecture 1: "Projective modules and connections" .pdf
Lecture 2: "Clifford algebras and spinors" .pdf
Lecture 3: "Spin structures and Dirac operators" .pdf
Lecture 4: "From $S^2=\mathbb{C} P^1$ to Borel-Weil" .pdf
Slides of a 90 minutes lecture about the Knizhnik-Zamolodchikov equations and the Drinfeld-Kohno theorem:
"Knizhnik-Zamolodchikov and Drinfeld-Kohno" .pdf
Slides of a 45 minutes survey talk about compact quantum groups:
"Long live compact quantum groups" .pdf
Slides of a one hour survey talk about noncommutative geometry:
"Noncommutative geometry - An elementary introduction" .pdf
A short survey on Koszul algebras:
"Notes on Koszul algebras" .pdf
Here I briefly discuss the difference between algebraic line bundles on a real or complex affine variety with smooth line bundles on the underlying smooth manifold:
"Picard groups: real and complex, algebraic and continous" .pdf
Some notes from an afternoon on which I learned how to use Mathematica:
"A quick dip into mathematica" .pdf
The LiE online demo - a computer algebra tool good in simple Lie algebras
Math Journal Price Survey - avoid publishing in greedy journals (based on 2008 data)
The universal currency converter
The best small country in the world - some facts about Scotland
The exact time - if you want to be in time
LaTeX Polish - helps typing maths in Warsaw