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Publications

Detecting null patterns in tensor data
with Peter A. Brooksbank, Martin D. Kassabov
arXiv preprint
arXiv:2408.17425
Categorification of characteristic structures
with Peter A. Brooksbank, Heiko Dietrich, Joshua Maglione, E. A. O'Brien
Forum of Mathematics, Sigma (to appear)
arXiv:2502.01138
Tensor Isomorphism by conjugacy of Lie algebras
with Peter A. Brooksbank, Joshua Maglione
J. Algebra 604 (2022) 790-807
Offprint 🔒 arXiv:2005.04046
Subgroups of simple groups are as diverse as possible
with Martin Kassabov, Brady Tyburski
Bulletin LMS, 54 (1) 2022
Offprint arXiv:2007.10439
Group isomorphism is nearly-linear time for most orders
with Heiko Dietrich
Proc. IEEE Symp. on Found. Comp. Sci (FOCS) 2022, 457-467
Offprint
New Lie products for groups and their automorphisms
James B. Wilson
J. Group Theory, 24 (4) 2021
arXiv:1501.04670
Improved Algorithms for Alternating Matrix Space Isometry: from Theory to Practice
with Peter A. Brooksbank, Yinan Li, Youming Qiao
European Symposium on Algorithms (ESA2020)
arXiv:1905.02518
The threshold for subgroup profiles to agree is log n-2
James B. Wilson
Theory of Computing, Vol. 15, pp. 1–25, 2019
Offprint (CC-BY) Slides
Exact sequences of inner automorphisms of tensors
with Peter A. Brooksbank, Joshua Maglione
J. Algebra 545 (2019) 43-65
Offprint 🔒 arXiv:1812.00275
Isomorphism testing of groups of cube-free order
with Heiko Dietrich
J. Algebra 545 (2019) 174-197
Offprint 🔒 arXiv:1810.03467
Isomorphism testing of Graded algebras
with P.A. Brooksbank and E.A. O'Brien
Trans. Amer. Math. Soc. 372 (11) 2019, 8067–8090
Offprint 🔒 arXiv:1708.08873
A fast isomorphism test for groups of genus 2
with P. A. Brooksbank and J. Maglione
J. Algebra, 473 (2017) 545-590
Offprint 🔒
On automorphisms of groups, rings, and algebras
James B. Wilson
Comm. Algebra, 45 (2017) no. 4, 1452-1478
Offprint 🔒

Earlier Works

The module isomorphism problem reconsidered
with P. A. Brooksbank
J. Algebra 421 (2015) 541-559
Offprint 🔒 Erratum
Groups acting on tensor products
with P. A. Brooksbank
J. Pure Appl. Alge. 218 (2014) 405-416
Offprint 🔒
More characteristic subgroups, Lie rings, and isomorphism tests for p-groups
James B. Wilson
J. Group Theory 16 6 (2013) 875-897
Offprint 🔒 Erratum
Division, adjoints, and dualities of bilinear maps
James B. Wilson
Communications in Algebra 41 11 (2013) 3989-4008
Offprint 🔒
Optimal Gram-Schmidt type algorithms
James B. Wilson
Linear Algebra and Its Applications 438 (2013) 4573-4583
Offprint 🔒
Existence, algorithms, and asymptotics of direct product decompositions, I
James B. Wilson
Groups - Complexity - Cryptology 4 (2012), 33-72
Offprint 🔒
Isomorphism in expanding families of indistinguishable groups
with M. L. Lewis
Groups - Complexity - Cryptology 4 (2012) 73-110
Offprint 🔒
Intersecting two classical groups
with P. A. Brooksbank
J. Algebra 353 (2012) 286-297
Offprint 🔒
Computing isometry groups of Hermitian maps
with P. A. Brooksbank
Trans. Amer. Math. Soc. 364 (2012) 1975-1996
Offprint 🔒
Decomposing p-groups via Jordan algebras
James B. Wilson
J. Algebra 322 (2009) 2642-2679
Offprint 🔒
Finding central decompositions of p-groups
James B. Wilson
J. of Group Theory 12 (2009) 813-830
Offprint 🔒
On linear-size reductions and completeness
with T. Miyazaki

Preprints & arXiv Papers

Isomorphism Invariant Metrics
with P. Brooksbank, J. Maglione, E.A. O'Brien
arXiv:2304.00465
A spectral theory for transverse tensor operators
with U. First, J.Maglione
arXiv:1911.02518
A Frobenius-Schreier-Sims Algorithm to tensor decompose algebras
with Ian Holm Kessler, Henry Kvinge
arXiv:1812.03346
Polynomial-time isomorphism testing of groups of most finite orders
with H. Dietrich
arXiv:1806.08872
Existence, algorithms, and asymptotics of direct product decompositions, II
James B. Wilson
arXiv:1005.0548
Discovering tensor structures by non-associative algebra
with P. Brooksbank and M. Kassabov
Characteristic structure as splitting categories
with P. Brooksbank, J. Maglione, E.A. O'Brien
Efficiently Computing with categories and high-order structures
with P. Brooksbank, H. Dietrich, J. Maglione, E.A. O'Brien
Isomorphism Testing through higher categories
with P. Brooksbank, H. Dietrich, J. Maglione, E.A. O'Brien
A representation theory of bilinear maps
James B. Wilson

Projects in Development

Group isomorphism is tied up in knots
James B. Wilson
NP-completeness as a method of counting
with Takunari Miyazaki
On indecomposable p-groups
James B. Wilson
Parallel algorithms for rings
James B. Wilson
Sylow subgroups in solvable matrix groups
with W. M. Kantor and E. M. Luks