Skip to main content
MENU
Toggle navigation menu
Sign up
Log in
Loyola University Chicago
Loyola eCommons Gallery
Faculty Gallery
Follow
Contact
Peter Tingley
Save
Cancel
Associate Professor
Title
Save
Cancel
read more
Works
About
×
About Peter Tingley
Positions
Present
Associate Professor,
Loyola University Chicago
‐
Mathematics and Statistics
Institution
Organization
Position Type
Position Title
Time Period
to
Options
Current Position
Affiliate my profile with this Institution
Save
Cancel
Disciplines
Mathematics
Research Interests
Combinatorial and geometric representation theory
and
crystal bases
Title
URL
Funding Agency
Grant Name
Grant Number
Amount
$
Role
Colleague(s)
Time Period
to
Enter a valid date range.
Current Grant
Save
Cancel
Position
Affiliation
Time Period
to
Enter a valid date range.
Current Position
URL
Save
Cancel
Jump to Category
View All
Recent Works
Research Works
Recent Works
(1)
Article
The Collaborative Development of Active Learning at Loyola University Chicago ...
PRIMUS (2020)
Karin E. Lange, Megan Deiger, Matthew Bourque, Peter Tingley, et al.
Link
Research Works
(49)
Article
When to Hold ’Em
Mathematics Magazine (2021)
Peter Tingley, Kaity Parsons and Emma Zajdela
We consider the age-old question: how do I win my fortune at poker? First a disclaimer: this is a poor ...
Link
Article
On category O for affine Grassmannian slices and categorified tensor ...
Proceedings of The London Mathematical Society (2019)
Joel Kamnitzer, Peter Tingley, Ben Webster, Ben Webster, et al.
Link
Article
A quiver variety approach to root multiplicities
arXiv: Representation Theory (2019)
Peter Tingley
Link
Article
Highest weights for truncated shifted Yangians and product monomial crystals
Journal of Combinatorial Algebra (2019)
Joel Kamnitzer, Peter Tingley, Ben Webster, Alex Weekes, et al.
Link
Article
Peter-Weyl bases, preferred deformations, and Schur-Weyl duality.
arXiv: Quantum Algebra (2019)
Anthony Giaquinto, Alex Gilman and Peter Tingley
Link
Article
PBW Bases and Marginally Large Tableaux in Types B and ...
Canadian Mathematical Bulletin (2019)
Jackson A. Criswell, Ben Salisbury and Peter Tingley
We explicitly describe the isomorphism between two combinatorial realizations of Kashiwara’s infinity crystal in types B and C. The first ...
Download
Article
Listen, Share, Play: Lessons from Preschool for Problem Solving
MTCircular Magazine (2018)
Peter Tingley
The main goal of our Math Teachers’ Circle at Loyola University Chicago is to engage teachers in open-ended, interesting problem ...
Download
Article
PBW Bases and Marginally Large Tableaux in Type D
Journal of Combinatorics (2018)
Ben Salisbury, Adam Schultze and Peter Tingley
We give an explicit description of the unique crystal isomorphism between two realizations of B(∞) in type D: that using ...
Download
Article
Quiver Varieties and Crystals in Symmetrizable Type via Modulated Graphs
Mathmetical Research Letters (2018)
Vinoth Nandakumar and Peter Tingley
Kashiwara and Saito have a geometric construction of the infinity crystal for any symmetric Kac–Moody algebra. The underlying set consists ...
Download
Article
PBW bases and marginally large tableaux in types B and ...
Canadian Mathematical Bulletin (2017)
Jackson Criswell, Ben Salisbury and Peter W. Tingley
Link
Article
COMBINATORIAL DESCRIPTIONS OF THE CRYSTAL STRUCTURE ON CERTAIN PBW BASES
Transformation Groups (2017)
Ben Salisbury, Adam Schultze and Peter Tingley
Link
Article
Face functors for KLR algebras
Representation Theory of The American Mathematical Society (2017)
Peter J. McNamara and Peter Tingley
Link
Article
A Minus Sign That Used to Annoy Me But Now ...
Proceedings of the 2014 Maui and 2015 Qinhuangdao Conferences in Honour of Vaughan F.R. Jones’ 60th Birthday. (2017)
Peter Tingley
We consider two well known constructions of link invariants. One uses skein theory: you resolve each crossing of the link ...
Download
Article
Elementary Construction of Lusztig’s Canonical Basis
Contemporary Mathematics: Groups, Rings, Group Rings, and Hopf Algebras (2017)
Peter Tingley
In this largely expository article we present an elementary construction of Lusztig’s canonical basis in type ADE. The method, which ...
Download
Article
A minus sign that used to annoy me but now ...
arXiv: Geometric Topology (2017)
Peter Tingley
Link
Article
A minus sign that used to annoy me but now ...
Proceedings of the 2014 Maui and 2015 Qinhuangdao Conferences in Honour of Vaughan F.R. Jones’ 60th Birthday (2017)
Peter Tingley
Link
Article
Affine PBW Bases and Affine MV polytopes
arXiv: Representation Theory (2016)
Dinakar Muthiah and Peter Tingley
Link
Article
PBW bases and marginally large tableaux in type D
arXiv: Combinatorics (2016)
Ben Salisbury, Adam Schultze and Peter Tingley
Link
Article
Quiver varieties and crystals in symmetrizable type via modulated graphs
arXiv: Quantum Algebra (2016)
Vinoth Nandakumar and Peter Tingley
Link
Article
Combinatorial Descriptions of the Crystal Structure on Certain PBW Bases ...
Proceedings for FPSAC 2016 (2016)
Ben Salisbury, Adam Schultze and Peter Tingley
Lusztig's theory of PBW bases gives a way to realize the infinity crystal for any simple complex Lie algebra where ...
Download
Article
Combinatorial descriptions of the crystal structure on certain PBW bases ...
arXiv: Combinatorics (2016)
Ben Salisbury, Adam Schultze and Peter Tingley
Link
Article
Elementary construction of Lusztig's canonical basis
arXiv: Representation Theory (2016)
Peter Tingley
Link
Article
Mirković–Vilonen polytopes and Khovanov–Lauda–Rouquier algebras
Compositio Mathematica (2016)
Peter Tingley and Ben Webster
Link
Article
Highest weights for truncated shifted Yangians and product monomial crystals
arXiv: Representation Theory (2015)
Joel Kamnitzer, Peter Tingley, Ben Webster, Alex Weekes, et al.
Link
More
