I'm a 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.
I used to organise the PG Colloquium and the Hodge Club. Outside of maths, I have been known to enjoy quiz.
My CV and a research statement.
My office is JCMB 5622. My email address is matt dot booth at ed dot ac dot uk.
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 | 2019 | The derived contraction algebra | Workshop on Derived Categories, Moduli Spaces and Deformation Theory, Cetraro | |
March | 2019 | Contraction algebras and noncommutative derived geometry | Hodge Day 2019, Edinburgh | |
February | 2019 | Contraction algebras and noncommutative derived geometry | Algebra Seminar, Glasgow | |
February | 2019 | An introduction to derived noncommutative geometry | GEARS, Glasgow | |
January | 2019 | Contraction algebras and noncommutative derived geometry | CALF, Warwick | |
January | 2019 | Deformation theory | Postgraduate Forum, Lancaster | |
November | 2018 | Deformation theory | JAWS, Warwick | |
November | 2018 | Deformation theory | Hodge Club, Edinburgh | |
September | 2018 | Real analysis in reverse | PG Colloquium, Edinburgh | |
June | 2018 | Threefold flops and the derived contraction algebra | GAeL XXVI, Strasbourg | Notes |
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 |
Things that aren't papers or notes/slides from talks.
2018-2019 | Semester 2 | Honours Algebra, Fundamentals of Pure Mathematics |
2018-2019 | Semester 1 | Honours Analysis, Honours Analysis Skills, Geometry |
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 |