Associate Professor in the School of Mathematics and Statistics at the University of Sydney.
Address: |
A/Prof James Parkinson School of Mathematics and Statistics F07 University of Sydney NSW 2006 Australia |
---|---|
Office: | Room 614 Carslaw Building |
Email: | jamesp@maths.usyd.edu.au |
Phone: | +61 2 9351 4221 |
FAX: | +61 2 9351 4534 |
Here is my CV.
I am an editor for the following journals; see the links for the submission process.
Bulletin of the Australian Mathematical Society
Innovations in Incidence Geometry: Algebraic, Topological, and Combinatorial
Patterns in sets of positive density in trees and affine buildings
(M. Björklund, A. Fish, J. Parkinson)
Submitted, (2019) (pdf)
Coxeter systems for which the Brink-Howlett automaton is minimal
(J. Parkinson, Y. Yau)
Journal of Algebra, 527 (2019) 437-446 (pdf)
Opposition diagrams for automorphisms of small spherical buildings
(J. Parkinson, H. Van Maldeghem)
Innovations in Incidence Geometry, 17 (2019) 141-188 (pdf)
Some associated MAGMA code (including minimal faithful permutation representations of various exceptional type \(\mathbb{ATLAS}\) groups)
Balanced representations, the asymptotic Plancherel formula, and Lusztig's conjectures for \(\tilde{C}_2\)
(J. Guilhot, J. Parkinson)
Algebraic Combinatorics, 2 (2019) 969-1031 (pdf)
Opposition diagrams for automorphisms of large spherical buildings
(J. Parkinson, H. Van Maldeghem)
Journal of Combinatorial Theory, Series A 162 (2019) 118-166 (pdf)
A proof of Lusztig's conjectures for affine type \(G_2\) with arbitrary parameters
(J. Guilhot, J. Parkinson)
Proceedings of the London Mathematical Society, 118 (2019) 1188-1244 (pdf)
Scale and tidy subgroups for Weyl-transitive automorphism groups of buildings
(U. Baumgartner, J. Parkinson, J. Ramagge)
Journal of Algebra
520 (2019) 460-478 (pdf)
Limit theorems for random walks on Fuchsian buildings and Kac-Moody groups
(L. Gilch, S. Müller, J. Parkinson)
Groups, Geometry, and Dynamics
12 (2018) 1069-1121 (pdf)
Buildings, groups of Lie type, and random walks
(J. Parkinson)
Groups, graphs, and random walks
London Mathematical Society Lecture Note Series, 436 (2017) 391-443. (pdf)
Asymptotic entropy of random walks on Fuchsian buildings and Kac-Moody groups
(L. Gilch, S. Müller, J. Parkinson)
Mathematische Zeitschrift
285 (2017) 707-738. (pdf)
Distance regularity in buildings and structure constants in Hecke algebras
(P. Abramenko, J. Parkinson, H. Van Maldeghem)
Journal of Algebra
481 (2017) 158-187. (pdf)
Regular sequences and random walks in affine buildings
(J. Parkinson, W. Woess)
Annales de l'Institut Fourier 65 No. 2 (2015) 675-707. (pdf)
The combinatorics of automorphisms and opposition in generalised polygons
(J. Parkinson, B. Temmermans, H. Van Maldeghem)
Annals of Combinatorics 19 Issue 3 (2015) 567-619. (pdf)
On calibrated representations and the Plancherel Theorem for affine Hecke algebras
(J. Parkinson)
Journal of Algebraic Combinatorics 40 (2014) 331-371. (pdf)
A classification of commutative parabolic Hecke algebras
(P. Abramenko, J. Parkinson, H. Van Maldeghem)
Journal of Algebra
385 (2013) 115-133. (pdf)
Automorphisms and opposition in twin buildings
(A. Devillers, J. Parkinson, H. Van Maldeghem)
Journal of the Australian Mathematical Society
94 (2013) 189-201. (pdf)
A local limit theorem for random walks on the chambers of \(\tilde{A}_2\) buildings
(J. Parkinson, B. Schapira)
Progress in Probability 64, Birkhäuser, 15-53
(2011). (pdf)
Combinatorics in affine flag varieties
(J. Parkinson, A. Ram, C. Schwer)
Journal of Algebra
321 (2009) 3469-3493. (pdf)
Isotropic random walks on affine buildings
(J. Parkinson)
Annales de l'Institut Fourier
57 (2007) 379-419. (pdf)
Spherical harmonic analysis on affine buildings
(J. Parkinson)
Mathematische Zeitschrift
253 (2006) 571-606. (pdf)
Buildings and Hecke algebras
(J. Parkinson)
Journal of Algebra
297 (2006) 1-49. (pdf)
In Semester 2 2019, I am teaching:
MATH1923 Multivariable Calculus and Modelling (Adv),
MATH1933 Special Studies Program).