**PhD Student and Teaching Assistant**

E-mail: matteo.capoferri.16 [AT] ucl.ac.uk

*
Department of Mathematics
University College London
Gower Street
London
WC1E 6BT *

Educated as a theoretical physicist, I am now a PhD student in Mathematics and Teaching Assistant in Pure Mathematics at UCL.

I work under the supervision of Prof Dmitri Vassiliev.

**Curriculum vitae**

My area of research expertise is, broadly speaking, the analysis of partial differential equations (PDEs). More specifically, the microlocal and spectral analysis of differential, pseudodifferential and Fourier integral operators on manifolds.

## Publications

### Theses

## Teaching

## Talks

## Collaborators

People I am collaborating or have collaborated with:
## Useful links

** Research interests **

- Spectral theory of differential, pseudodifferential and Fourier integral operators on manifolds
- Global hyperbolic propagators
- Analysis of first order systems of PDEs (elliptic or hyperbolic)
- Spectral asymptotics and spectral geometry
- Mathematical elasticity

[4.] |
M. Capoferri, M. Levitin, D. Vassiliev:Geometric wave propagator on Riemannian manifoldsarXiv:1902.06982 [math.AP], 2019. |

[3.] |
M. Capoferri, N. Saveliev, D. Vassiliev:Classification of first order sesquilinear formsarXiv:1811.10318 [math.AP], 2018. |

[2.] |
M. Capoferri, D. Vassiliev:Spacetime diffeomorphisms as matter fieldsarXiv:1805.01303 [math-ph], 2018. |

[1.] |
M. Benini, M. Capoferri, C. Dappiaggi:Hadamard states for quantum Abelian duality,Annales Henri Poincaré 18 10 (2017) 3325-3370. |

- Time observable in non-relativistic quantum mechanics

BSc thesis. University of Pavia, July 2014. - The handling of singularities: an introduction to Microlocal Analysis

First level diploma thesis. IUSS Pavia, October 2014. - Algebra of Observables and States for Quantum Abelian Duality

MSc thesis. University of Pavia, July 2016. - A Microlocal-analytic approach to the Propagator of the Wave Operator

IUSS Diploma thesis. IUSS Pavia, May 2017.

Regularly updated information about my teaching can be found at the links below:

**Academic Year 2019-2020**

MATH0042 Mathematical Methods in Chemistry

**Academic Year 2018-2019**

MATH0042 Mathematical Methods in Chemistry

ME306 Real Analysis (Class Teacher, at LSE)

**Academic Year 2017-2018**

2017-2018 Teaching Homepage

You are most welcome to send me an email anytime (matteo.capoferri.16 [AT] ucl.ac.uk) with any question you may have.

I have office hours every week during term time (follow the relevant link above); I am also happy to arrange in-person appointment on other days of the week, if I am free.

7 Nov 2019 |
Global hyperbolic propagators in curved space,Mathematical Physics Seminar, University of York, UK. ( Invited) |

30 Sep 2019 |
The massless Dirac operator: hyperbolic parametrix and spectral asymptotics,Analysis & PDE Seminar, University of Sussex, UK. ( Invited) |

10 Sep 2019 |
Global hyperbolic propagators,Workshop on Spectral Geometry and Analysis of Differential Operators, University of Padova, Italy. |

4 Jun 2019 |
Wave propagator on Riemannian manifolds,Mathematics Colloquium, University of Groningen, Netherlands. ( Invited) |

10 May 2019 |
Globlal hyperbolic propagators and spectral asymptotics,Junior Analysis Seminar, Imperial College London. ( Invited) |

4 Mar 2019 |
Hyperbolic propagators: from scalar equations to first order systems,UK Meeting on Hyperbolic Equations, Loughborough University, United Kingdom. ( Invited) |

29 Nov 2018 |
Mathematical encounters of the third kind,Mathematics Undergraduate Colloquium, University College London. ( Invited) |

5 Nov 2018 |
Global hyperbolic propagators: a microlocal-analytic approach,Differential geometry seminar, University of Freiburg, Germany. ( Invited) |

21 Jul 2018 |
Global hyperbolic propagators in curved space,International Congress of Mathematical Physics, Young Researchers Symposium, Montreal. |

6 Jul 2018 |
Global hyperbolic propagators in curved space,Conference "Microlocal and time-frequency analysis", Turin. |

28 Jun 2018 |
The wave propagator between analysis and geometry,Conference "An analyst, a geometer and a probabilist walk into a bar", Cardiff. |

11 Jun 2018 |
Global hyperbolic propagators in curved space,10th Birman Conference in Spectral Theory, St Petersburg. ( Invited) |

5 Jun 2018 |
Global hyperbolic propagators in curved space,Conference "AQFT: where operator algebra meets microlocal analysis", Cortona, Italy. |

30 May 2018 |
Global hyperbolic propagators in curved space,Mathematical physics seminar, University of Pavia. ( Invited) |

15 Feb 2018 |
Solving the wave equation on manifolds,UCL Mathematics PG Seminar. |

1 Feb 2018 |
Hadamard states for Quantum Abelian Duality,41st LQP Workshop, Mathematisches Institut, Göttingen. |

10 Nov 2017 |
Hyperbolic propagators in curved space,LMS Genearal Meeting - Graduate Student session, London Mathematical Society, London. |

28 Aug 2017 |
Hyperbolic propagator in curved space: an explicit global formula,Conference "Geometric foundations of gravity", Tartu, Estonia. |

17 May 2017 |
The algebraic approach to QFT,UCL Mathematics PG Seminar. |

- Dr. Zhirayr Avetisyan (Santa Barbara)
- Dr. Federico Bambozzi (Oxford)
- Dr. Marco Benini (Hamburg)
- Prof. Claudio Dappiaggi (Pavia)
- Dr. Nicolò Drago (Trento)
- Prof. Michael Levitin (Reading)
- Dr. Simone Murro (Freiburg)
- Prof. Nikolai Saveliev (Miami)
- Dr. Marcello Seri (Groningen)
- Prof. Dmitri Vassiliev (UCL)

UCL Maths Department

London Analysis Seminar

King's Analysis Seminar

Conferences in Spectral Theory and Mathematical Physics