Valentina Ciccone
Welcome!
I am a PhD student in Mathematics at the University of Bonn, Germany, under the supervision of Christoph Thiele.
I obtained a Master's degree in Mathematics at the University of Padova, Italy, in 2021.
My current research interests are mainly in the area of Harmonic Analysis. I have been working on problems related to sharp Fourier restriction theory, on the endpoint mapping properties of certain Marcinkiewicz multipliers, and on the characterization of certain sparse sets of integers in terms of Fourier restriction estimates.
In 2023 I have spent several months in Bilbao, Spain, visiting Ioannis Parissis at the University of the Basque Country UPV/EHU and Odysseas Bakas and Mateus Sousa at the Basque Center for Applied Mathematics - BCAM.
I am also an engineer. In 2020 I obtained my PhD in Information Engineering at the University of Padova, Italy, where I have spent three years as a PhD student in the Automatic Control Group. My PhD advisor was Augusto Ferrante.
You can contact me at ciccone (at) math (dot) uni-bonn (dot) de.
Publications and Preprints - Mathematics
(with Odysseas Bakas, Francesco Di Plinio, Marco Fraccaroli, Ioannis Parissis, and Marco Vitturi) Singular multipliers on multiscale Zygmund sets. Preprint, 2024. [arXiv link]
(with Odysseas Bakas, Ioannis Parissis, and Marco Vitturi) Endpoint estimates for higher order Marcinkiewicz multipliers. Preprint, 2024. [arXiv link]
(with Mateus Sousa) Global and local maximizers for some Fourier extension estimates on the sphere. Preprint, 2023. [arXiv link]
(with Felipe Gonçalves) Sharp Fourier Extension on the Circle Under Arithmetic Constraints. Journal of Functional Analysis 286 (2024), no. 2, Paper No. 110219. [publisher link]
(with Odysseas Bakas and James Wright) Walter Rudin meets Elias M. Stein. Notices of the American Mathematical Society 70 (2023), no. 10, 1697–1703. [online]
Publications - Engineering and Computer Science
(with Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon) Regularized transport between singular covariance matrices. IEEE Transactions on Automatic Control, 66(7), 3339-3346, 2021 [publisher link]
(with Augusto Ferrante) Space and spectral domain relative entropy for homogeneous random fields. Automatica, 122: 109226, 2020 [publisher link]
(with Augusto Ferrante and Mattia Zorzi) Learning latent variable dynamic graphical models by confidence sets selection. IEEE Transactions on Automatic Control, 65(12), 5130-5143, 2020 [publisher link]
(with Augusto Ferrante and Mattia Zorzi) An alternating minimization algorithm for Factor Analysis. Kybernetika, 55(4), 740-754, 2019 [publisher link]
(with Augusto Ferrante and Mattia Zorzi) Factor Models with Real Data: a Robust Estimation of the Number of Factors. IEEE Transactions on Automatic Control, 64(6), 2412 - 2425, 2019 [publisher link]
(with Augusto Ferrante and Mattia Zorzi) Robust Identification of “Sparse Plus Low rank” Graphical Models: an Optimization Approach. 2018 IEEE Conference on Decision and Control (CDC). IEEE, 2018, p. 2241-2246 [publisher link]
(with Augusto Ferrante and Mattia Zorzi) Factor analysis with finite data. 2017 IEEE Conference on Decision and Control (CDC). IEEE, 2017, p. 4046-4051 [publisher link]
Recent and Upcoming Research Talks
Endpoint estimates for higher-order Marcinkiewicz multipliers, Mini-courses in Mathematical Analysis, University of Padova, June 2024
Endpoint estimates for higher-order Marcinkiewicz multipliers, International Prague seminar on function spaces, Charles University, April 2024
Endpoint estimates for higher-order Marcinkiewicz multipliers, Seminar on Advanced Topics in PDE, University of Bonn, April 2024
Endpoint estimates for higher-order square functions, Online Early Career Morning Sessions, April 2024
Endpoint estimates for higher-order square functions and Marcinkiewicz multipliers, Harmonic Analysis e-Seminars, April 2024
A sharp Fourier extension inequality on the circle under arithmetic constraints, III Young Researchers Workshop in Harmonic Analysis, University of Genova, January 2024
A sharp Fourier extension inequality on the circle under arithmetic constraints, Online ETA seminar, November 2023
Fourier extension estimates on the torus, sharp constants, and certain Λ(p)-sets, Seminar on Advanced Topics in PDE, University of Bonn, June 2023
Fourier restriction estimates on the torus and certain Λ(p)−sets, Mini-courses in Mathematical Analysis, University of Padova, June 2023
Fourier restriction estimates on the torus and certain Λ(p)−sets, XLII Convegno Nazionale di Analisi Armonica , University of Milano-Bicocca, May 2023
A sharp Fourier extension inequality on the circle under arithmetic constraints, Bilbao Analysis and PDE Seminar, UPV/EHU and BCAM - Basque Center for Applied Mathematics, March 2023
A sharp Fourier extension inequality on the circle under arithmetic constraints, Edinburgh Analysis Seminar , University of Edinburgh, February 2023