Giuseppe Negro

Welcome to my homepage! 

I am a FCT Researcher in CAMGSD - Instituto Superior Técnico, Lisbon.  (FCT = Fundação para a Ciência e a Tecnologia, the agency within the Ministry of Science, Technology and Higher Education in Portugal in charge with evaluating and funding scientific research). 

My previous employment history is:

•  Postdoctoral Researcher & Invited Assistant Professor in CAMGSD - Instituto Superior Técnico, Lisbon.

• Research Fellow of the School of Mathematics in University of Birmingham;

• Postdoctoral Researcher in Basque Center for Applied Mathematics (BCAM);

• PhD student in the joint program of Sorbonne Paris Nord  and ICMAT-Universidad Autónoma de Madrid.

My PhD advisors were Thomas Duyckaerts and Keith Rogers, and my thesis can be found at this ResearchGate.net link.

You can reach me at  giuseppe.negro at tecnico.ulisboa.pt.

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These are my research publications: 

• "On sharp Fourier extension from spheres in arbitrary dimension", with Emanuel Carneiro and Diogo Oliveira e Silva, arXiv:2410.23106 (to appear in RIMS Kôkyûroku Bessatsu).

• "Exponentials rarely maximize Fourier extension inequalities for cones", with Diogo Oliveira e Silva, Betsy Stovall and James Tautges, Journal of the London Mathematical Society, vol. 111, issue 3 (2025). https://doi.org/10.1112/jlms.70112 

• "Stability of sharp Fourier restriction to spheres", with Emanuel Carneiro and Diogo Oliveira e Silva, Journal of Fourier Analysis and Applications, vol. 30, art. no. 70 (2024). https://doi.org/10.1007/s00041-024-10120-z 

• "Global solutions with asymptotic self-similar behaviour for the cubic wave equation", with Thomas Duyckaerts, Communications in Mathematical Physics, 405:84 (2024), doi.org/10.1007/s00220-024-04962-3 

• "A sharpened Strichartz inequality for the wave equation", Annales Scientifiques de l'École Normale Supérieure (2023), dx.doi.org/10.24033/asens.2564.

• "A sharpened energy-Strichartz inequality for the wave equation", Bulletin of the London Mathematical Society (2023),  doi.org/10.1112/blms.12910.

• "When does $\exp(-|\tau|)$ maximize Fourier extension for a conic section?", with Diogo Oliveira e Silva and Christoph Thiele, book chapter in "Harmonic Analysis and Convexity", de Gruyter, doi.org/10.1515/9783110775389-009.

• "Maximizers for Fourier adjoint restriction to cones", Oberwolfach report 2227 (2022), link.

• "Intermittent symmetry breaking and stability of the sharp Agmon-H\"ormander estimate on the sphere", with Diogo Oliveira e Silva,  Proceedings of the American Mathematical Society 151 (2023), pp. 87-99. https://doi.org/10.1090/proc/16072 

• "Local maximizers of the adjoint Fourier restriction estimate for cone, paraboloid and sphere", with Felipe Gonçalves, Analysis and PDE 15 (2022), no. 4, 1097-1130. https://doi.org/10.2140/apde.2022.15.1097 

• "A sharp Lorentz-invariant Strichartz norm expansion for the cubic wave equation in R^{1+3}", The Quarterly Journal of Mathematics, 71 (2020), pp. 517-538, link.

These are my outreach publications:

• "4=2x2 or the power of even integers in Fourier analysis", with Diogo Oliveira e Silva, Oberwolfach Snapshots of Modern Mathematics, link.

• "Un modelo matemático para curar enfermedades cardiovasculares", with Giancarlo Breschi, interview to Alfio Quarteroni for "El Mundo" (Spanish mass media), link.

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I am an organizer of the following international scientific meetings:

• Open Problems in Harmonic Analysis session in the IWOTA 2025, Enschede, Netherlands.

• Harmonic Analysis Summer Workshop, July 2024, Instituto Superior Técnico.

• Harmonic Analysis and PDEs Meeting of the London Mathematical Society , March 18, 2021, University of Birmingham.

• Harmonic Analysis to celebrate Michael Cowling’s 65th, July 1–5, 2014, Segovia.

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I currently supervise the Master thesis of David Afonso (IST).

I was a supervisor for the following students:

• T. Fischer, internship student at IST from ENSTA Paris, July 2024.

• P. Martins, master student at IST (cadeira de seminário), 2024.

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In January 2025 I was at École Normale Superiéure de Paris as invited professor ("professeur invité").

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Here you can read my detailed Curriculum Vitae.

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I am a member of  Stack Exchange  and of matematicamente.it (Italian).