Senior lecturer in the School of Mathematics and Statistics at the University of Sydney.
Address: |
Dr 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
Opposition diagrams for automorphisms of small spherical buildings
(J. Parkinson, H. Van Maldeghem)
Innovations in Incidence Geometry, to appear (2019) (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)
To appear in Algebraic Combinatorics (2019) (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)
To appear in Proceedings of the London Mathematical Society (2019) (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)
Math. Z.
285 (2017) 707-738. (pdf)
Distance regularity in buildings and structure constants in Hecke algebras
(P. Abramenko, J. Parkinson, H. Van Maldeghem)
J. Algebra
481 (2017) 158-187. (pdf)
Regular sequences and random walks in affine buildings
(J. Parkinson, W. Woess)
Ann. Inst. Fourier 65 No. 2 (2015) 675-707. (pdf)
The combinatorics of automorphisms and opposition in generalised polygons
(J. Parkinson, B. Temmermans, H. Van Maldeghem)
Ann. Comb. 19 Issue 3 (2015) 567-619. (pdf)
On calibrated representations and the Plancherel Theorem for affine Hecke algebras
(J. Parkinson)
J. Algebraic Combin. 40 (2014) 331-371. (pdf)
A classification of commutative parabolic Hecke algebras
(P. Abramenko, J. Parkinson, H. Van Maldeghem)
J. Algebra
385 (2013) 115-133. (pdf)
Automorphisms and opposition in twin buildings
(A. Devillers, J. Parkinson, H. Van Maldeghem)
J. Austral. Math. Soc.
94 (2013) 189-201. (pdf)
A local limit theorem for random walks on the chambers of \(\tilde{A}_2\) buildings
(J. Parkinson, B. Schapira)
Progr. Probab. 64, Birkhäuser, 15-53
(2011). (pdf)
Combinatorics in affine flag varieties
(J. Parkinson, A. Ram, C.Schwer)
J. Algebra
321 (2009) 3469-3493. (pdf)
Isotropic random walks on affine buildings
(J. Parkinson)
Ann. Inst. Fourier
57 (2007) 379-419. (pdf)
Spherical harmonic analysis on affine buildings
(J. Parkinson)
Math. Z.
253 (2006) 571-606. (pdf)
Buildings and Hecke algebras
(J. Parkinson)
J. Algebra
297 (2006) 1-49. (pdf)
In Semester 2 2018, I taught:
MATH1923 Multivariable Calculus and Modelling (Adv).