User name is: Philip; Password hint: 4 letter last name of a famous group theorist.
? Why a password?
Me and my colleagues access our publications from many locations so digital copies are essential. This portal also gives me a way to share my publisher alloted offprints with others. To gain access, ask me for the password. The hint above may remind you if you forgot.
Articles
- Tensor Isomorphism by conjugacy of Lie algebras with Peter A. Brooksbank, Joshua Maglione, J. Algebra 604 (2022) 790-807
- Subgroups of simple groups are as diverse as possible with Martin Kassabov, Brady Tyburski, Bulletin LMS, 54 (1) 2022
- Group isomorphism is nearly-linear time for most orders with Heiko Dietrich, Proc. IEEE Symp. on Found. Comp. Sci (FOCS) 2022, 457-467
- New Lie products for groups and their automorphisms J. Group Theory, 24 (4) 2021
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Improved Algorithms for Alternating Matrix Space Isometry: from Theory to Practice
with Peter A. Brooksbank, Yinan Li, Youming Qiao
European Symposium on Algroithms (ESA2020), to appear.
(related to arXiv:1905.02518
- The threshold for subgroup profiles to agree is log n-2 Theory of Computing, Vol. 15, pp. 1--25, 2019.
- Exact sequences of inner automorphisms of tensors J. Algebra with Peter A. Brooksbank, Joshua Maglione 545 (2019) 43-65.
- Isomorphism testing of groups of cube-free order with Heiko Dietrich, J. Algebra 545 (2019) 174-197.
- Isomorphism testing of Graded algebras with P.A. Brooksbank and E.A. O'Brien, Trans. Amer. Math. Soc. 372 (11) 2019, 8067--8090.
- A fast isomorphism test for groups of genus 2, with P. A. Brooksbank and J. Maglione J. Algebra, 473 (2017) 545-590
- On automorphisms of groups, rings, and algebras, Comm. Algebra, 45 (2017) no. 4, 1452-1478.
- The module isomorphism problem reconsidered, with P. A. Brooksbank, J. Algebra 421 (2015) 541-559.
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Groups acting on tensor products,
with P. A. Brooksbank, J. Pure Appl. Alge. 218 (2014) 405-416
- More characteristic subgroups, Lie rings, and isomorphism tests for p-groups J. Group Theory 16 6 (2013) 875-897.
- Division, adjoints, and dualities of bilinear maps, Communications in Algebra 41 11 (2013) 3989-4008.
- Optimal Gram-Schmidt type algorithms, Linear Algebra and Its Applications 438 (2013) 4573-4583.
- Existence, algorithms, and asymptotics of direct product decompositions, I, Groups - Complexity -Cryptology 4 (2012), 33-72
- Isomorphism in expanding families of indistinguishable groups, with M. L. Lewis, Groups - Complexity - Cryptology 4 (2012) 73-110.
- Intersecting two classical groups, with P. A. Brooksbank, J. Algebra 353 (2012) 286-297.
- Computing isometry groups of Hermitian maps, with P. A. Brooksbank, Trans. Amer. Math. Soc. 364 (2012) 1975-1996.
- Decomposing p-groups via Jordan algebras, J. Algebra 322 (2009) 2642-2679.
- Finding central decompositions of p-groups, J. of Group Theory 12 (2009) 813-830.
- 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
- A Frobenius-Schreier-Sims Algorithm to tensor decompose algebras with Ian Holm Kessler, Henry Kvinge
- Polynomial-time isomorphism testing of groups of most finite orders with H. Dietrich
- On linear-size reductions and completeness, with T. Miyazaki.
- Existence, algorithms, and asymptotics of direct product decompositions, II,
Preprints
If coauthors agree we may be able to share our preprints if you ask.- 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.
Projects set to the side which have drafts I might share with you privately if you ask.
- Group isomorphism is tied up in knots.
- NP-completeness as a method of counting, with Takunari Miyazaki.
- On indecomposable p-groups
- Parallel algorithms for rings.
- Sylow subgroups in solvable matrix groups, with W. M. Kantor and E. M. Luks, in preparation.
Software
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Filters
Written by Joshua Maglione, supervised by me. Software for refining isomorphism to smaller tests.
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TameGenus
Co-written with Peter A. Brooksbank and Joshua Maglione. Software for high-speed isomorphism for tame representations.
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Multilinear Algebra Group
Co-written with Josh Maglione, with contributions from P.A. Brooksbank for module isomorphism. General purpose software developed for high-dimensional tensors.
V1.x and higher on GitHub
under MIT License.
V1.0 in MAGMA System. -
Non-associative Algebra Toolkit
Co-written with Josh Maglione. General purpose software developed for non-associative algebras, composition algebras, and Jordan algebras.
V1.x and higher on GitHub
under MIT License.
V1.0 in MAGMA System. -
StarAlgbras
Co-written with Peter A. Brooksbank. General purpose software developed for algebras with involutions, isometry groups, and intersections of isometry groups.
V1.x and higher on GitHub
under MIT License.
V1.0 in MAGMA System. -
Internet Connection Manager for Intel Web Tablet (tm)
Intel Architecture Labs (IAL).
Lead developer for internent connectivity of Intel Web Tablet, a for-runner to tablet computing a decade before Apple's iPad (tm), just saying. Here's a video of one Intel Web Tablet (www.intelfreepress.com/news/the-original-ipad/98/) Patent granted.
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Anywhere-in-the-home (tm)
Intel Architecture Labs (IAL).
With Chris Genly and others. Software for speach controll of televisions, set-top-boxes, and DVD players. What in your home and ask "When is Zena Warrior Princess on? Jump to the canal chase scene." Ersatz imitations have surfaced as products from Amazon and Xfinity.
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Khartoum
Intel Architecture Labs (IAL).
Software to optimize and convert critical Java bytecode into C/C++. A service layer built on top of the Java Native Interface (JNI). Patent application: cancelled after departure from Intel.
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Galactic Core
Intel Architecture Labs (IAL).
With Chris Genly with collaboration MIT's Spoken Language Systems Group under Victor Zue. Software for a natural language recognition for the Java Speech API and Microsoft Speech engine. This was research software but the results ended up in products that now exist in cars and homes, (1998-99).
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Timbuktu
Intel Architecture Labs (IAL).
Software for remote communications built on Java Serialization (1998).
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Pony Express
Intel Architecture Labs (IAL).
Supervised by Chris Genly. Software for a e-mail on "thin clients", e.g. getting e-mail on a small pocket device with low power and low memory (1997-98).
Patents
- Inventor James B. Wilson,
- Original Assignee: Intel Corporation,
- Priority Date 4 Jan 2001,
- Publication Date: 12 Jul 2005.