Peter Tingley

Dept. of Maths and Stats Office: Loyola Hall 209
Loyola University, Chicago                        Phone: 773 508 3555
1032 W. Sheridan Road Email: ptingley@luc.edu
Chicago, IL 60660 Office hours: Monday, Tuesday, Thursday: 3-4 (or by appointment)

Teaching:

Current classes
Old classes

Seminar:

Loyola algebra and combinatorics seminar
Older seminar web pages

Research:

My projects
My publications and preprints on the arXiv
My publications on mathscinet

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 and notes from research talks:

Various constructions of (affine) MV polytopes.
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:

Julia!!!
My wife Emily sits patiently.
My brother Martin gets around.
My father Daryl grows big pumpkins.
My mother Maureen doesn't have a picture on her webpage. hit counter
Old web page photos