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Recent Research
(1990-present):
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2011
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2009 | 2008 | 2007 |2006| 2005
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| 2003
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1999
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| 1996
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| 1991
| 1990
2012
2011
2010
- Singular lines of
trilinear forms,
Linear Algebra Appl. 433
(2010) 690-697,
doi:10.1016/j.laa.2010.03.040
J. Draisma and R. Shaw
- Trivectors
yielding
spreads
in PG(5,2)
J. Geom. 96
(2010)
149-165
R. Shaw
2009
2008
2007
- The cubic Segre
variety S_1,2,2 in
PG(5,2),
R. Shaw and N.A. Gordon
- The psi-associate
X# of a flat X in
PG(n,2),
Des. Codes Cryptogr., 45
(2007) 229-246
R. Shaw
- The associate U#
of a flat U with respect
to a cubic hypersurface
in PG(5,2)
(The basis for my talk at
BCC21, Reading, July 2007.)
R.Shaw
2006
2005
- The
Grassmannian G_{1,n,2} has polynomial
degree
n(n-1)/2 - 1.
R.Shaw
- Grassmann
and
Segre
varieties over
GF(2): some
graph theory
links.
(Preprint
prior to
BCC20, Durham,
JUly 2005.)
R.Shaw
- Aspects
of
the
linear
groups
GL(n,2) .
J. Combin.
Math. Combin.
Comput. 53
(2005) 13-31
N.A. Gordon,
T.M. Jarvis
and R. Shaw
- Partial
spreads
in
PG(4,2)
and
flats in
PG(9,2)
external to
the
Grassmannian
G_{1,4,2}
Discrete
Math. 301 (2005) 137-146
R. Shaw, J.G.
Maks and N.A.
Gordon
- The
classification
of flats in
PG(9,2) which
are external
to the
Grassmannian
G_{1,4,2}
Designs, Codes
and
Cryptography
34 (2005)
203-227
R. Shaw, J.G.
Maks and N.A.
Gordon
2003
- Conclaves
of
planes in PG(4,2) and
certain planes
external to the
Grassmannian G_{1,4,2}
in PG(9,2)
J. Geom. 78 (2003) 168-180
R. Shaw and J.G. Maks
- Some
aspects
of the linear groups
GL(n,q).
(extended version of `Aspects
of the linear groups GL(n,2)')
N.A. Gordon, T.M. Jarvis and
R. Shaw
- The
associate
X#
of a flat X in PG(n,2)
with respect to a
given hypersurface
(much larger
version of `The
quintic
Grassmannian G_{1,4,2}
in PG(9,2)')
R. Shaw and N.A. Gordon
2000
- Subsets of PG(n,2) and
maximal partial spreads in
PG(4,2),
Designs Codes and Cryptography
21 (2000) 209-222.
R. Shaw
- Classification
of
partial
spreads
in
PG(4,2) (ps
version3)
(earlier version of 2004
paper)
N.A.Gordon, R.Shaw and
L.H.Soicher
- Partial spreads in PG(4,2)
N.A. Gordon, R. Shaw and L.H.
Soicher
- Partial spreads in
PG(4,2): Sym(6) aspects
R. Shaw
1999
- A property of A 7, and a
maximal 3-dimensional linear
section of GL(4,2),
Discrete Math., 197/198
(1999), 733-747.
R. Shaw
- Configurations of planes
in PG(5,2),
Discrete Math. 208/209
(1999), 529-546.
R. Shaw
1998
- Linear sections of
GL(4,2),
Bull. Belg. Math. Soc. 5
(1998), 287-311.
N.A. Gordon, G. Lunardon and
R. Shaw
- The
classes
of
GL(n,q)
R. Shaw
- Every element of GammaL(V)
of finite order has a long
cycle,
R. Shaw
- The
classes
of
GL(n,2), n <= 6,
(precursor of 2005
paper)
N.A. Gordon, T.M. Jarvis and
R. Shaw
- Sp(2m,2) inside
GL(2m,2),
N.A. Gordon, T.M. Jarvis and
R. Shaw
1997
- Double-fives and partial
spreads in PG(5,2),
pp.201-216, in Geometry,
Combinatorial Designs and
Related Structures, Proc. of
the First Pythagorean
Conference, Spetses, Greece
1996, eds. J.W.P.
Hirschfeld, S.S.
Magliveras & M.J. de
Resmini, Cambridge
University Press (1997)
R. Shaw
- Icosahedral sets in
PG(5,2),
Europ. J. of Combinatorics 18
(1997) 315-339.
R. Shaw
- Linear sections of
GL(n,2),
N. A. Gordon and R. Shaw
1996
1995
- Finite geometry, Dirac
groups and the table of real
Clifford algebras,
pp. 59-99, in R. Ablamowicz
and P. Lounesto, eds.,
Clifford Algebras and Spinor
Structures (Kluwer Acad.
Pubs., Dordrecht, 1995).
R. Shaw
- Cubic sets in PG(5,2) of
hyperbolic and elliptic
types,
R. Shaw and N. A. Gordon
1994
- Projective geometry codes
over prime fields,
pp.151-163, in Contribution
to the AMS Contemporary
Mathematics Series, Vol.
168, Finite Fields: Theory,
Applications and Algorithms,
eds. G. Mullen & P.J.-S.
Shiue, Amer. Math. Soc.
(1994).
J.W.P. Hirschfeld and R.Shaw
- Generalization to PG(n,q)
of recent PG(n,2) and
PG(n,p) results,
R. Shaw
- The lines of PG(4,2) are
the points of a quintic in
PG(9,2),
J. Combin. Theory (A), 68
(1994), 226-231.
R. Shaw and N. A. Gordon
- Finite geometry, Dirac
groups and the table of real
Clifford algebras.
(extended version of 1995
chapter, see above.)
R. Shaw
- Composition algebras and
PG(m,2),
J. Geom. 51, (1994),
50-59.
N.A. Gordon, T.M.Jarvis,
J.G.Maks and R.Shaw
1993
- Composition algebras,
PG(m,2) and non-split group
extensions,
pp. 467-470, in Proc. of
XIXth International
Colloquium on Group
Theoretical Methods in
Physics, Salamanca 1992,
eds. M. A. del Olmo et al.,
Anales de Fisica,
Monografias, Vol. 1,
CIEMAT/RSEF, Madrid
1993.
R. Shaw
- Finite geometry and the
table of real Clifford
algebras,
pp. 23-31, in Contribution
to Clifford Algebras and
their Applications in
Mathematical Physics,
(Proceedings of Third
Conference, Deinze, Belgium,
1993), eds. F. Brackx et
al., Kluwer Academic Pubs.,
(1993).
R. Shaw
1992
- A characterization of the
primals in PG(m,2),
Designs, Codes and Crypt. 2
(1992), 253-256.
R. Shaw
- Finite geometries and
Clifford algebras III,
pp. 121-132, in Proc. of the
2nd Workshop on Clifford
Algebras and their
Applications in Mathematical
Physics, Montpellier,
France, (1989); eds.
A.Micali et al., Kluwer
Acad. Pubs. (1992).
R. Shaw
1991
- Symmetry,
pp. 75-116, in Mathematical
Perspectives, Four Recent
Inaugural Lectures,
Hull University Press
(1991).
R. Shaw
- Clifford algebras, spinors
and finite geometries,
pp. 527-530, in Proc. of
XVIIIth Intern. Colloq. on
Group Theoretical Methods in
Physics, Moscow, 1990,
Springer Lecture Notes in
Physics 382 (1991).
R. Shaw
1990
- Ternary composition
algebras, I: Structure
theorems: definite and
neutral signatures,
Proc. Roy. Soc. Lond. A 431
(1990), 1-19.
R. Shaw
- Ternary composition
algebras, II: Automorphism
groups and subgroups,
Proc. Roy. Soc. Lond. A 431
(1990), 21-36.
R. Shaw
- Finite geometries and
Clifford algebras II.,
J. Math. Phys. 31 (1990),
1315-1324.
R. Shaw and T.M.Jarvis
- Area in the Minkowski
plane,
Int. J. Math. Educ. Sci.
Technol. 21 (1990)
411-415.
R. Shaw
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