Dept. of Maths and Stats | Office: BVM hall, room 611 |
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Loyola University, Chicago | Phone: 773 508 3558 |
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1032 W. Sheridan Road | Email: ptingley@luc.edu |
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Chicago, IL 60660 | Office hours: TBA |

Sage days 65 Photo.

ALGECOM (a regional series of one day algebra, geometry and combinatorics conferences)

Older seminar web pages

My publications and preprints on the arXiv

My publications on mathscinet

Elementary construction of Lusztig's canonical basis (in finite type).

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.

When to hold 'em (an introduction to probabilistic game theory through poker). Here is some related Mathematica code.

Root multiplicities in rank 3. Preprint. Code.

Peter-Weyl bases, preferred deformations, and Schur-Weyl duality.

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.

Musings on SEMINAL at Loyola Chicago Slides , Precalc Invesitgation, Calc Invesitgation, Linear algebra Invesitgation

My wife Emily sits patiently.

My brother Martin gets around.

My father Daryl grows big pumpkins.

My mother Maureen no longer seems to have a webpage.

Old web page photos