• Professor of Mathematics, University of East Anglia (2024–)

• Reader in Pure Mathematics, University of East Anglia (2020–2024)

• EPSRC Research Fellow, School of Mathematics, University of East Anglia (2022–2027)
  • Principal Investigator of a 5-year Research Fellowship that started in 2022.

• 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://robertdgray.github.io/index.html

• Director of Admissions for the School of Mathematics, University of East Anglia (2017-2021)

I have taught a range of mathematics courses at UEA including: first-year Linear Algebra, Algeba I: Group Theory, Mathematical Skills, and the module Sets, Numbers and Proof; second-year Ring Theory, and Further Linear Algebra, and the third-fourth-year modules Semigroup Theory, and Galois Theory.

I am an algebraist with interests in a wide range of topics including: combinatorial and geometric group and semigroup theory, algorithmic problems in algebra, decidability, homological finiteness properties, algebraic combinatorics, and groups and monoids acting on graphs, relational structures, and topological spaces.

Grants and Projects

Current grant:

• EPSRC Fellowship EP/V032003/1 "Algorithmic, topological and geometric aspects of infinite groups, monoids and inverse semigroups".

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".

Current Postdoc

• Islam Foniqi, University of East Anglia
• Alex Levine, University of East Anglia 

Current PhD Students

• Katie Reilly, University of East Anglia
• Jonathan Warne, University of East Anglia

Former PhD Students

• Daniel Turaev (MSc by Research), University of East Anglia
• Carl-Fredrik Nyberg Brodda  (The word problem and combinatorial methods for groups and semigroups), University of East Anglia (was funded by a UEA SCI competition funded studentship)
• Diane Lubbock (Finiteness properties for semigroups and their substructures), University of East Anglia, viva passed in November 2020
• Thomas Coleman (Automorphisms and endomorphisms of first-order structures), University of East Anglia, viva passed in June 2017