Publications

• Carleson embeddings with quadratic modulation invariance: the Walsh case, with: T. Chan. In: preparation
• Higher order expansion for the probabilistic local well-posedness theory for a cubic nonlinear Schrödinger equation, with: J-B. Casteras, J. Földes In: preparation

• Almost sure local well-posedness for cubic nonlinear Schrodinger equation with higher order operators, with: J-B. Casteras, J. Földes. In: arXiv (2022).
• The full range of uniform bounds for the bilinear Hilbert transform In: arXiv (2022).
• Variational Carleson operators in UMD spaces with: A. Amenta. In: Journal of the London Mathematical Society 105.3 (2022): 1363-1417, arXiv (2020).
• The bilinear Hilbert transform in UMD spaces with: A. Amenta In: Mathematische Annalen, (2020), 1-93, arXiv (2019)
• Banach-valued modulation invariant Carleson embeddings and outer-$L^p$ spaces: the Walsh case with: A. Amenta In: Journal of Fourier Analysis and Applications 26, no. 4 (2020): 1-54, arXiv (2019).
• Positive Sparse Domination of Variational Carleson Operators with: F. Di Plinio, Y.Q. Do. In: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, 18(4) (2018), pp.1443-1458 arXiv (2016).
• Variational Carleson embeddings into the upper 3-space In: arXiv (2016).
• On the distributional Hessian of the distance function with: C. Mantegazza, G. Mascellani. In: Pacific Journal of Mathematics 270.1 (2014): pp.151-166 arXiv (2013).

Theses

• 🔗 PhD thesis Time-Frequency Analysis of the Variational Carleson Operator using outer-measure $L^{p}$ spaces. Advisor: Prof. Dr. Christoph Thiele
• 🔗 Master thesis Multi-parameter Singular Integrals: Product and Flag Kernels. Advisor: Prof. Fulvio Ricci
• 🔗 _Bachelor thesis Regularity of Minimizers of One-Dimensional Scalar Variational Problems with Lagrangians with Reduced Smoothness Conditions. Advisor: Prof. Luigi Ambrosio