I'm a third-year PhD student at the University of Edinburgh, working under the supervision of Jon Pridham. My second supervisor is Ivan Cheltsov. I'm a member of the Geometry and Topology research group in the Hodge Institute. Before starting at Edinburgh in September 2015, I studied for an MMath at Merton College, Oxford.

Research-wise, I'm interested in derived algebraic geometry, interpreted broadly -- particularly in the noncommutative sense, but I'm also interested in homotopy-theoretic ideas. My focus is on (derived, noncommutative) deformation theory, and currently with Michael Wemyss I'm thinking about derived analogues of the contraction algebra.

My office is JCMB 5622. My email address is **matt** dot **booth** at **ed** dot **ac** dot **uk**.

I used to organise the PG Colloquium and the Hodge Club.

I'm also a regular at the seminars EDGE, MAXIMALS, the Hodge Club, the Category Theory Seminar, GEARS, the Scottish Topology Seminar, ARTIN, and GLEN.

June | 2018 | GAeL XXVI, Strasbourg |

September | 2017 | BrAG 3, Cambridge |

July | 2017 | Matrix factorisations and related topics, Edinburgh |

July | 2017 | School on Deformation Theory, Turin |

June | 2017 | GAeL XXV, Bath |

June | 2017 | Linking noncommutative rings and algebraic geometry, Edinburgh |

May | 2017 | Hausdorff School: Derived Noncommutative Geometry, Bonn |

April | 2017 | Positivity in algebraic and complex geometry, Edinburgh |

February | 2017 | Workshop on quantum fields, knots and integrable systems, Edinburgh |

February | 2017 | 2CinC, Cardiff |

August | 2016 | GAP XIV, Sheffield |

July | 2016 | WARTHOG 2016, Eugene |

June | 2016 | Hodge Day 2016, Edinburgh |

June | 2016 | ECSTATIC 2, London |

June | 2016 | Ninja Workshop on Category Theory, Edinburgh |

May | 2016 | EMS Postgrad Meeting 2016, The Burn |

May | 2016 | Motives and derived algebraic geometry, Essen |

April | 2016 | BrAG 2, Edinburgh |

April | 2016 | DeCaDE 2016, Edinburgh |

November | 2015 | Derived Geometry, Oberwolfach |

June | 2018 | Threefold flops and the derived contraction algebra | GAeL XXVI, Strasbourg | |

February | 2018 | Flops and the (derived) contraction algebra | Hodge Club, Edinburgh | |

January | 2018 | Hochschild homology | Noncommutative Hodge theory seminar, Edinburgh | Notes |

November | 2017 | Derived contraction algebras | Work in progress seminar, Edinburgh | |

October | 2017 | DGAs and A-infinity algebras | Hodge Club, Edinburgh | Notes |

September | 2017 | Dissections: How to cut things up | PG Colloquium, Edinburgh | Slides |

June | 2017 | DG-categories and derived categories | Student homotopy theory seminar, Edinburgh | |

May | 2017 | Noncommutative deformations and surface autoequivalences | Derived Categories working group, Edinburgh | |

March | 2017 | Threefold Flops and the Contraction Algebra | Hodge Club, Edinburgh | Notes |

March | 2017 | Formal deformation theory (Sernesi, 2.1-2.3) | Reading Course on Deformation Theory, Edinburgh | |

February | 2017 | Versal deformations | Reading Course on Deformation Theory, Edinburgh | Notes |

February | 2017 | Deformation Theory and DGLAs | GEARS, Glasgow | Slides |

January | 2017 | A polynomial that detects the consistency of set theory | PG Colloquium, Edinburgh | Slides |

December | 2016 | An Introduction to Spectral Sequences [joint talk with Tim] | Reading Seminar on Homological algebra, Edinburgh | Notes |

October | 2016 | Stable Homotopy Theory | Hodge Club, Edinburgh | Notes |

June | 2016 | A problem in deformation theory | Hodge Day 2016, Edinburgh | |

June | 2016 | Elementary (ha-ha) Aspects of Topos Theory | Ninja Workshop on Category Theory, Edinburgh | Notes |

May | 2016 | Deformation Theory | EMS Postgrad Meeting 2016, The Burn | Slides |

March | 2016 | Tropical Geometry | PG Colloquium, Edinburgh | |

February | 2016 | Higher Categories, Complete Segal Spaces, and the Cobordism Hypothesis | Working Seminar on Topological Field Theory, Edinburgh | Notes |

February | 2016 | t-structures and Perverse Sheaves | Working Seminar on Perverse Sheaves and the Decomposition Theorem, Edinburgh | |

November | 2015 | An Introduction to Model Categories | Category Theory Seminar, Edinburgh | Notes |

October | 2015 | An Introduction to Morita Theory | SMSTC Working Seminar on Finite Dimensional Algebras, Edinburgh | Notes |

Notes from talks are in the section above.

- A poster describing my research that I took around a few conferences in summer 2017.
- A quick cheatsheet for dg-objects. Tells you what the sign conventions should be.
- I wrote Chapter 5 of the lecture notes from the TFT Seminar. It's a nicer version of the notes from my talk.
- Differential Graded Algebras and Applications, report on DGAs written in collaboration with three other PhD students. I wrote Chapter Four and bits of Chapter One.
- My assignments for the SMSTC Geometry and Topology course (cleaned up somewhat - may differ slightly from what I actually handed in): 1.1 1.2 2.1 2.2

2017-2018 | Semester 2 | Calculus and its Applications, Honours Algebra |

2017-2018 | Semester 1 | Honours Analysis, Geometry |

2016-2017 | Semester 2 | Calculus and its Applications, MathsBase |

2016-2017 | Semester 1 | Honours Analysis, Geometry |

2015-2016 | Semester 2 | Engineering Mathematics 1b, MathsBase |