Personal profile
Research interests
Analysis of PDEs, Spectral Theory, Microlocal Analysis, Stochastic Homogenisation, Mathematical Physics
Biography
Dr Capoferri is currently an Associate Professor and EPSRC Fellow at Heriot-Watt University and an Associate Professor in the Department of Mathematics at the University of Milan.
After obtaining BSc and MSc in theoretical physics summa cum laude from the University of Pavia, he emigrated to London to undertake a PhD in Pure Mathematics at UCL, under the supervision of Professor Dmitri Vassiliev. He then moved on to Cardiff for a postdoctoral stint as part of the the Analysis Group during the global pandemic, and was appointed to a permanent post at Heriot-Watt University in 2022. In 2024 he took up a second permanent appointment at the University of Milan.
Dr Capoferri's research has been supported by numerous funding bodies, including EPSRC, the London Mathematical Society, and the Heilbronn Instutite for Mathematical Research.
Roles & Responsibilities
From 2023: Chair of the Organising Committee, UK Spectral Theory Network
External positions
Visiting Professor, Yale University
Mar 2025 → Apr 2025
Professor, University of Milan
1 Sept 2024 → …
Honorary Professor, University College London
3 Aug 2021 → …
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Collaborations and top research areas from the last five years
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Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections
Capoferri, M. & Vassiliev, D., Jan 2026, In: Journal of the London Mathematical Society. 113, 1, e70431.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
High-contrast random systems of PDEs: Homogenization and spectral theory
Capoferri, M., Cherdantsev, M. & Velčić, I., Feb 2026, In: Communications in Contemporary Mathematics. 28, 1, 2550029.Research output: Contribution to journal › Article › peer-review
Open AccessFile31 Downloads (Pure) -
A microlocal pathway to spectral asymmetry: curl and the eta invariant
Capoferri, M. & Vassiliev, D., 25 Feb 2025, arXiv.Research output: Working paper › Preprint
Open AccessFile35 Downloads (Pure) -
Anderson localization in high-contrast media with random spherical inclusions
Capoferri, M. & Täufer, M., 2 Dec 2025, arXiv.Research output: Working paper › Preprint
Open AccessFile -
Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Capoferri, M. & Murro, S., Sept 2025, In: Mathematische Nachrichten. 298, 9, p. 2942-2974 33 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Link opens in a new tab Citation (Scopus)31 Downloads (Pure)
Prizes
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Simons Foundation Fellowship
Capoferri, M. (Recipient), 2026
Prize: Prize (including medals and awards)