Matteo Capoferri

Matteo Capoferri

PhD Student and Teaching Assistant

E-mail: matteo.capoferri.16 [AT]

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.

Research interests

A self-contained description of my research is available upon request.


[4.] M. Capoferri, M. Levitin, D. Vassiliev:
Geometric wave propagator on Riemannian manifolds
arXiv:1902.06982 [math.AP], 2019.
[3.] M. Capoferri, N. Saveliev, D. Vassiliev:
Classification of first order sesquilinear forms
arXiv:1811.10318 [math.AP], 2018.
[2.] M. Capoferri, D. Vassiliev:
Spacetime diffeomorphisms as matter fields
arXiv: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.



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] 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.


People I am collaborating or have collaborated with:

Useful links

UCL Maths Department
London Analysis Seminar
King's Analysis Seminar
Conferences in Spectral Theory and Mathematical Physics