Projects per year
Personal profile
Career

Reader in Pure Mathematics, University of East Anglia (2020– )

Senior Lecturer in Pure Mathematics, University of East Anglia (2017–2020)

Lecturer in Pure Mathematics, University of East Anglia (2013–2017)

FCT Ciência 2008 Research Fellow, Centre of Algebra of the University of Lisbon, Portugal (2010—2013)

EPSRC Postdoctoral Research Fellow, School of Mathematics and Statistics, University of St Andrews (2008–2010)

Research Fellow, School of Mathematics, University of Leeds, UK. Member of the Leeds Logic Group working on the EPSRC funded project “Homogeneous structures, bipartite graphs, and partial orders” (2006–2008)
Website: https://archive.uea.ac.uk/~fga12juu/RobertGray.html
Follow this link for details of current PhD opportunities in Mathematics. But feel free to email me to discuss projects outside these areas and alternative sources of funding.
Key Responsibilities
 Director of Admissions for the School of Mathematics, University of East Anglia (20172021)
Teaching Interests
I have taught a range of mathematics courses at UEA including: firstyear Linear Algebra, Algeba I: Group Theory, Mathematical Skills, and the module Sets, Numbers and Proof; secondyear Ring Theory, and Further Linear Algebra, and the thirdfourthyear modules Semigroup Theory, and Galois Theory.
Key Research Interests and Expertise
I am an algebraist with interests in a wide range of topics including: combinatorial and geometric group and semigroup theory, algorithmic problems for groups and monoids, homological finiteness properties, algebraic combinatorics, groups acting on graphs and other relational structures, and homogeneous structures in the modeltheoretic sense.
Grants and Projects
Past grants:
 EPSRC grant EP/N033353/1 "Special inverse monoids: subgroups, structure, geometry, rewriting systems and the word problem".
 EPSRC grant EP/E043194/1 "Finiteness Conditions and Index in Semigroups and Monoids".
Research Group Membership
Current PhD Students
 CarlFredrik Nyberg Brodda, University of East Anglia (funded by a UEA SCI competition funded studentship)
Former PhD Students
 Diane Lubbock (Finiteness properties for semigroups and their substructures), University of East Anglia, viva passed in November 2020
 Thomas Coleman (Automorphisms and endomorphisms of firstorder structures), University of East Anglia, viva passed in June 2017
Network
Projects
 3 Finished

Topological and homological properties of onerelator monoids
London Mathematical Society (The)
1/04/19 → 30/09/19
Project: Research

Universal locallyfinite partially homogeneous semigroups and inverse semigroups
London Mathematical Society (The)
1/06/16 → 31/07/16
Project: Research
Research output
 51 Article

Ehresmann theory and partition monoids
East, J. & Gray, R., 1 Aug 2021, In: Journal of Algebra. 579, p. 318352 35 p.Research output: Contribution to journal › Article › peerreview
2 Citations (Scopus) 
Free inverse monoids are not FP_{2}
Gray, R. & Steinberg, B., 8 Oct 2021, In: Comptes Rendus de l'Academie des Sciences  Series I: Mathematics. 359, 8, p. 10471057 11 p.Research output: Contribution to journal › Article › peerreview

New results on the prefix membership problem for onerelator groups
Dolinka, I. & Gray, R., 2021, In: Transactions of the American Mathematical Society. 374, 6, p. 43094358 50 p.Research output: Contribution to journal › Article › peerreview
Open AccessFile3 Downloads (Pure) 
On equations and firstorder theory of onerelator monoids
Garreta, A. & Gray, R., Dec 2021, In: Information and Computation. 281, 104745.Research output: Contribution to journal › Article › peerreview
1 Citation (Scopus) 
Topological finiteness properties of monoids Part 1: Foundations
Gray, R. & Steinberg, B., 20 Sep 2021, (Accepted/In press) In: Algebraic & Geometric Topology.Research output: Contribution to journal › Article › peerreview