Senior Lecturer

- Email: oli.king@ncl.ac.uk
- Telephone: +44 (0) 191 208 7277
- Fax: +44 (0) 191 208 8020
- Personal Website: http://www.staff.ncl.ac.uk/o.h.king/ohk.htm
- Address: School of Mathematics & Statistics

Newcastle University

Newcastle upon Tyne

NE1 7RU

- Chairman of the Board of Studies
- Degree Programme Director - Programme Development

- Faculty Programme Liaison Officer (on the CASAP programme)

- Convenor of the Student Disciplinary Panel
- Regulations Sub-Committee (of UTLC)
- Chair of the Board of Examiners (on the CASAP programme)

- Senior Fellow of the Higher Education Academy

Classical Groups.

Finite Geometry.

I have been interested for many years in the subgroup structure of the Classical Groups, both finite and infinite. In particular I am interested determining classes of subgroups that are maximal as subgroups, both describing the subgroups in terms of geometric configurations and proving maximality using natural geometric techniques. I am also interested classes of almost simple subgroups that can be described geometrically, even if they are not maximal.

I am interested in certain geometric configurations. Sometimes, but not always, these are related to subgroups of Classical groups. The configurations that I have a particular interest are: caps in projective spaces; ovoids and partial ovoids in polar spaces; special sets on hermitian surfaces; blocking sets on hermitian surfaces.

SFY0001 (Basic Mathematics)

MAS1043 (Optimisation and Linear Methods)

- King OH, Siciliano A. Translation ovoids of unitary polar spaces.
*Advances in Geometry*2014,**14**(2), 369. - Cossidente A, King OH, Marino G. Hyperovals of H(3,
*q*^{2}) when*q*is even.*Journal of Combinatorial Theory, Series A*2013,**120**(6), 1131-1140. - King O, Robertson G. On the K-theory of boundary
*C**-algebras of Ã_{2}groups.*Journal of K-theory*2012,**9**(3), 521-536. - Cossidente A, King OH. Blocking sets of
*H*(*n,q*^{2}) with respect to generators.*Journal of Combinatorial Theory, Series A*2011,**118**(4), 1212-1217. - Cossidente A, King OH. On a family of minimal blocking sets of the Hermitian surface.
*Journal of Combinatorial Designs*2011,**19**(4), 313-316. - Cossidente A, King OH. Some Two-Character Sets.
*Designs, Codes and Cryptography*2010,**56**(2-3), 105-113. - Cossidente A, King O. On the geometry of the exceptional group G 2(q), q even.
*Designs, Codes, and Cryptography*2008,**47**(1-3), 145-157. - Cossidente A, King OH. On twisted tensor product group embeddings and the spin representation of symplectic groups.
*Advances in Geometry*2007,**7**(1), 55-64. - Cossidente A, King OH. Maximal subgroups of finite orthogonal groups stabilizing spreads of lines.
*Communications in Algebra*2006,**34**(12), 4291-4309. - Cossidente A, King OH, Marino G. Special sets of the Hermitian surface and Segre invariants.
*European Journal of Combinatorics*2006,**27**(5), 629-634. - King OH. The subgroup structure of finite classical groups in terms of geometric configurations.
*In:*Webb, B.S, ed.*Survey in Combinatorics, 2005*. Cambridge: Cambridge University Press, 2005, pp.29-56. - Cossidente A, King OH. Maximal orthogonal subgroups of finite unitary groups.
*Journal of Group Theory*2004,**7**(4), 447-462. - Cossidente A, King OH. On some maximal subgroups of unitary groups.
*Communications in Algebra*2004,**32**(3), 989-995. - Cossidente A, King OH. Twisted tensor product group embeddings and complete partial ovoids on quadrics in PG(2
^{t}- 1,q).*Journal of Algebra*2004,**273**(2), 854-868. - Cossidente A, King OH. Embeddings of finite classical groups over field extensions and their geometry.
*Advances in Geometry*2002,**2**(1), 13-27. - Cossidente A, King OH. Maximal subgroups of finite symplectic groups stabilizing spreads of lines.
*Journal of Algebra*2002,**258**(2), 493-506. - Cossidente A, King OH. Group-theoretic characterisations of classical ovoids.
*In: Finite Geometries: Proceedings of the Fourth Isle of Thorns Conference*. 2001, Chelwood Gate, UK: Kluwer. - Cossidente A, King OH. Transitive and co-transitive caps.
*Bulletin of the Belgian Mathematical Society - Simon Stevin*2000,**7**(3), 343-353.