Peter McNamara

I am a Senior Lecturer at the University of Melbourne.

Office:	Room 159, Peter Hall building.
Email:

Representation Theory Seminar

Pure Mathematics Seminar

Student Seminar

Preprints and publications

P. J. McNamara and A. Savage, The spin Brauer category, (pdf, 30/06/24), arXiv, to appear, Forum of Mathematics, Sigma.
P. J. McNamara, On a Braid Group Action, (pdf, 28/12/23), arXiv.
P. J. McNamara, Cluster Monomials are Dual Canonical. (pdf, 08/12/21), arXiv.
M. Lanini and P. J. McNamara, Singularities of Schubert varieties within a right cell. (pdf, 19/06/21), arXiv, SIGMA 17 (2021), 070, 9pp.
P. J. McNamara, Non-perverse parity sheaves on the flag variety. (pdf, 26/03/22), arXiv, Nagoya Math. J. 249 (2023) 1--10.
P. J. McNamara and G. Williamson. Tame Torsion. In preparation.
P. J. McNamara, Monoidality of Kato's Reflection Functors. (pdf, 01/12/17), arXiv.
P. J. McNamara, Representation Theory of Geometric Extension Algebras. (pdf, 18/03/20), arXiv.
P. J. McNamara, Folding KLR algebras. (pdf, 04/11/18). arXiv, J. Lond. Math. Soc. (2) 100 (2019) no 2, 447--469.
P. J. McNamara and P. Tingley. Face Functors for KLR Algebras. (pdf, 28/04/17). arXiv. Representation Theory 21 (2017) 106--131.
A. Kontorovich, P. J. McNamara and G. Williamson. Appendix to Schubert calculus and torsion explosion by G. Williamson. arXiv, J. Amer. Math. Soc. 30 (2017), 1023--1046.
P. J. McNamara. Representations of Khovanov-Lauda-Rouquier Algebras III: Symmetric Affine Type. (pdf, 27/10/16). arXiv. Math. Z. 287 (2017), no. 1-2, 243--286.
J. Brundan, A. Kleshchev and P. J. McNamara, Homological Properties of Finite Type Khovanov-Lauda-Rouquier Algebras. (pdf) arXiv. Duke Math. J. 163 (2014), no. 7, 1353--1404.
P. J. McNamara, Finite Dimensional Representations of Khovanov-Lauda-Rouquier Algebras I: Finite Type. (pdf). arXiv. J. Reine Angew. Math. 707 (2015), 103--124.
D. Bump, P. J. McNamara, and M. Nakasuji. Factorial Schur Functions and the Yang-Baxter Equation. (pdf). arXiv. Comment. Math. Univ. St. Pauli 63 (2014), no. 1-2, 23--45.
P. J. McNamara, The Metaplectic Casselman-Shalika Formula. (pdf), arXiv. Transactions of the American Mathematical Society 368 (2016) no. 4. 2913--2937.
P. J. McNamara, Principal Series Representations of Metaplectic Groups Over Local Fields. (pdf), arXiv. Multiple Dirichlet Series, L-functions and Automorphic Forms, Birkhauser Progress in Math. 300 (2012) 299--327.
P. J. McNamara, Factorial Schur Functions via the Six Vertex Model. (pdf), arXiv.
P. J. McNamara, Metaplectic Whittaker Functions and Crystal Bases. (pdf), arXiv. Duke Math Journal 156 (2011), no 1, 1--31.
J. East and P. J. McNamara, On the Work Performed by a Transformation Semigroup. (pdf), Australasian Journal of Combinatorics 49 (2011), 95--109.
P. J. McNamara, Factorial Grothendieck Polynomials, The Electronic Journal of Combinatorics, 13 (2006), R71. (pdf). arXiv. An addendum.

Other (Mathematical) Writing

Comments on my papers. (last updated 22/11/24)
Algebra notes Written while teaching 3rd year algebra at Melbourne.
SMMC 2017 A4 (this is a solution, for the question, click here)
P. J. McNamara, Three regimes for torsion in Schubert and quiver varieties, Oberwolfach Reports, 2015.
IMO 2014 Q4 (with sage)
DECRA Application. My (successful) application written for funding commencing in 2015.
Notes on R-matrices for Quiver Hecke algebras (Quiver Hecke algebras are KLR algebras).
Notes on the Baily-Borel compactification for the Mordell seminar.
My PhD thesis and honours thesis are available upon request, but readers should note that both theses essentially appear in the papers above.
Constructing Binary Codes. A decent (but not optimally known) construction of binary codes.

Videos

Hilbert Schemes Appendix (Preprojective Algebras), Informal Friday Seminar, University of Sydney, 04/11/20. (youtube)
Geometric Extension Algebras, HIM, 26/11/2017. (youtube), (webm, 178.4MB)
Understanding the Chinta-Gunnels action, ICERM, 17/04/2013.