Peter Tingley

My research is mostly about quantum groups, particularly quantum affine algebras. Recently I have also been doing a lot of work with quiver varieties. For more detailed information you can look at my CV and related documents.

Office: 2-380
Email: ptingley@math.mit.edu
>Office hours: Tues 11:30-12:30, Wed 2:30-3:30, or by appointment.

Seminar:

Teaching:

Publications and preprints:

Expository notes:

• Notes from a learning seminar on quantum groups I ran at MIT, spring 2011.
• Notes on Fock space.
• Explicit crystal maps between cylindric plane partitions, multi-partitions and multi-segments.
• A minus sign that used to annoy me but now I know why it is there (notes on the Jones polynomial).
• Constructing the R-matrix from the quasi R-matrix.

Slides from talks etc.:

• Various constructions of (affine) MV polytopes. Slides.
• Affine Mirkovic-Vilonen polytopes. Slides.
• Demazure crystals, Kirillov-Reshetikhin crystals and the energy function. FPSAC 2011 extended abstract. Slides.
• Affine sl(n) crystals and cylindric partitions (Oregon March 7, 2011).
• Realizations of affine sl(n) crystals (given in Korea Sept 2009, and at MIT Oct 2009).
• The half twist. Slides , Pictures.

Other math related activities:

• Since January 2007, I have written reviews for MathSciNet. These can be found here. Note: this site requires a subscription.
• I have given talks or run classes in enrichment programs for elementry and secondary school students including: The Oakland/East Bay math circle; The Davis math circle; Hampshire College summer studies in Mathematics; The Boston math circle.
• I spent the 2005-2006 accademic year as an 8th grade math teacher at Frick middle school in Oakland California.

Other:

• Julia!!!
• My wife Emily sits patiently.
• My brother Martin gets around.
• My father Daryl grows big pumpkins.
• My mother Maureen picks sunflowers.