Professor Chris Parker BSc MSc PhD

Professor Chris Parker

School of Mathematics
Professor of Pure Mathematics

Contact details

Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Chris Parker is a Professor of Pure Mathematics at the Univeristy of Birmingham, specializing in finite group theory.

Qualifications

  • PhD in Mathematics, University of Manchester, 1987
  • MSc in Mathematics, University of Manchester, 1985
  • BSc in Mathematics, University of Birmingham, 1984

Teaching

Semester 1

LM Advanced Topics in Algebra

Semester 2

LC Vectors, Geometry & Linear Algebra

Postgraduate supervision

Chris Parker’s recent research has been focused on theorems designed to understand the classification theorem of the finite simple groups. This includes joint work primarily with Gernot Stroth, which aims to determine the finite simple groups of local characteristic p. Chris also contributes to projects which explore the appearance of exotic fusion systems and their relationship to finite simple groups. Important contributions here are separate joint works with Jason Semeraro and Valentina Grazian.

Publications

Highlight publications

Parker, C & Semeraro, J 2019, 'Fusion systems on maximal class 3-groups of rank two revisited', Proceedings of the American Mathematical Society, vol. 147, no. 9, pp. 3773–3786. https://doi.org/10.1090/proc/14552

Parker, C & Semeraro, J 2021, 'Algorithms for fusion systems with applications to p-groups of small order', Mathematics of Computation. https://doi.org/10.1090/mcom/3634

Parker, C, Pientka, G, Seidel, A & Stroth, G 2021, 'Finite groups which are almost groups of Lie type in characteristic p', Memoirs of the American Mathematical Society.

Parker, C & Stroth, G 2020, 'The Local Structure Theorem, the non-characteristic 2 case', London Mathematical Society. Proceedings , vol. 120, no. 4, pp. 465-513. https://doi.org/10.1112/plms.12291

Recent publications

Book

Cambell, C, Parker, C, Quick, M, Robertson, E & Roney-Dougal, CM 2019, Groups St Andrews 2017 in Birmingham. vol. 455, London Mathematical Society Lecture Note Series edn, Cambridge University Press.

Article

Parker, C & Stroth, G 2022, 'P-tilde uniqueness theorem', Archiv der Mathematik. https://doi.org/10.1007/s00013-021-01675-0

Parker, C & Grazian, V 2022, 'Saturated fusion systems on p-groups of maximal class', Memoirs of the American Mathematical Society.

Parker, C & Rowley, P 2021, '2-minimal subgroups of orthogonal groups', Journal of Algebra. https://doi.org/10.1016/j.jalgebra.2021.09.028

Meierfrankenfeld, U, Parker, C & Rowley, P 2021, 'Rank one isolated p-minimal subgroups in finite groups', Journal of Algebra, vol. 566, pp. 1-93. https://doi.org/10.1016/j.jalgebra.2020.08.017

Parker, C & Rowley, P 2021, 'The 2-minimal subgroups of symplectic groups', Journal of Pure and Applied Algebra, vol. 225, no. 9, 106643. https://doi.org/10.1016/j.jpaa.2020.106643

Parker, C & Rowley, P 2020, '2-minimal subgroups of monomial, linear and unitary groups', Journal of Algebra, vol. 543, pp. 1-53. https://doi.org/10.1016/j.jalgebra.2019.10.003

Parker, C & Stroth, G 2019, 'The local structure theorem: the wreath product case', Journal of Algebra. https://doi.org/10.1016/j.jalgebra.2019.08.013

Parker, C & Semeraro, J 2018, 'Fusion systems over a Sylow p-subgroup of G2(p)', Mathematische Zeitschrift, vol. 289, no. 1-2, pp. 629–662. https://doi.org/10.1007/s00209-017-1969-x

Delizia , C, Parker, C, Moravec, P, Nicotera, C & Jezernik, U 2017, 'Locally finite groups in which every non-cyclic subgroup is self-centralizing', Journal of Pure and Applied Algebra, vol. 221, no. 2, pp. 401–410. https://doi.org/10.1016/j.jpaa.2016.06.015

Parker, C & Stroth, G 2016, 'A 2-local identification of PΩ8+(3)', Journal of Pure and Applied Algebra, vol. 220, no. 10. https://doi.org/10.1016/j.jpaa.2016.04.006

Parker, C, Stroth, G & Salarian, R 2015, 'A characterisation of almost simple groups with socle 2E6(2) or M(22)', Forum Math, vol. 27, no. 5, pp. 2853–2899. https://doi.org/10.1515/forum-2013-0055

Parker, C 2015, 'A family of fusion systems related to the groups Sp4(pa) and G2(pa)', Archiv der Mathematik, vol. 104, no. 4, pp. 311-323. https://doi.org/10.1007/s00013-015-0751-8

Chapter (peer-reviewed)

Magaard, K & Parker, C 2015, Remarks on lifting Beauville structures of quasisimple groups. in I Bauer, S Garion & A Vdovina (eds), Beauville Surfaces and Groups. Springer Proceedings in Mathematics & Statistics, Springer, pp. 121-128, Beauville Surfaces and Groups Conference, 2012, Newcastle upon Tyne, United Kingdom, 7/06/12. https://doi.org/10.1007/978-3-319-13862-6_8

Chapter

Capdeboscq, I & Parker, C 2015, What are the C2-groups? in Groups St Andrews 2013. Cambridge University Press, pp. 194-208. https://doi.org/10.1017/CBO9781316227343.012

View all publications in research portal