I am a third year PhD student at the University of Edinburgh working under the supervison of Sue Sierra. I'm a member of the Algebra and Number Theory research group in the Hodge Institute.

Before joining Edinburgh in September 2016, I studied for an MMath at the University of Manchester.

My research interests lie in the interactions between noncommutative ring theory and algebraic geometry. I am currently studying idealiser subrings and their noetherianity.

School of Mathematics

The University of Edinburgh

James Clerk Maxwell Building

The King's Buildings

Peter Guthrie Tait Road

EDINBURGH

EH9 3FD

United Kingdom

E-mail: R.A.E.Reynolds (at) sms (dot) ed (dot) ac (dot) uk

Idealisers in Skew Group Rings |

January | 2019 | Idealisers in Skew Group Rings | MAXIMALS, Edinburgh |

September | 2018 | Idealisers in Rings of Differential Operators | Hodge Club, Edinburgh |

April | 2018 | The Noetherianity of Idealiser Subrings | Young Mathematicians' Colloquium, Birmingham |

January | 2018 | Classifying Non-Commutative Projective Surfaces | Hodge Club, Edinburgh |

December | 2017 | The Noetherianity of Idealiser Subrings | GEARS, Edinburgh |

March | 2017 | Maths and Music | PG colloquium, Edinburgh |

March | 2017 | Point Modules and a Non-Commutative Projective Variety | Hodge Club, Edinburgh |

November | 2016 | Hilbert's Syzygy Theorem | Reading Seminar on Homological Algebra, Edinburgh |

October | 2016 | Koszul Complexes | Reading Seminar on Homological Algebra, Edinburgh |

This is a list of conferences I have attended or am planning to attend.

I also regularly attend the seminars
MAXIMALS,
Hodge Club,
GEARS, and ARTIN.

April | 2018 | ARTIN Early Careers Meeting | Manchester |

April | 2018 | Young Mathematicians' Colloquium | Birmingham |

March | 2018 | ARTIN 52 | Aberdeen |

September | 2017 | ARTIN 51 | Manchester |

July | 2017 | Algebra Extravaganza! | Philadelphia |

June | 2017 | Linking Noncommutative Rings and Algebraic Geometry | Edinburgh |

November | 2016 | ARTIN 49 | Lancaster |

I am a tutor at the University of Edinburgh where I have tutored the following courses. I have also tutored the Lothian Equal Access Programme for Schools (LEAPS) and the Sutton Trust Summer School (STSS).

Spring | 2019 | Introduction to Number Theory |

Spring | 2019 | Honours Algebra |

Autumn | 2018 | Group Theory |

Autumn | 2018 | Introduction to Linear Algebra |

Spring | 2018 | Honours Algebra |

Spring | 2018 | Fundamentals of Pure Mathematics |

Autumn | 2017 | Introduction to Linear Algebra |

Spring | 2017 | Maths for the Natural Sciences 1B |

Spring | 2017 | Mathsbase |

In 2016-17, I was the First Year Postgraduate Representative for the School of Mathematics. This involved attending meetings and gathering opinions and feedback from fellow first year students particularly about SMSTC.

In 2017-18, I was one of the co-organisers for the Hodge club Hodge Club, which is a seminar for Hodge Institute graduate students and postdocs.

In 2018-19, I will continue in this role and also co-organise the Glasgow Edinburgh Algebra Research Student seminar (GEARS) which is an informal meeting between algebra PhD students and postdocs from Edinburgh, Heriot-Watt, and Glasgow universities.