Welcome!

I am Giacomo Greco. As of September 2024 I am a PostDoc in Prof. Domenico Marinucci's group at University of Rome Tor Vergata. I will be working on Random Fields and their interplay with machine learning. My position is cofunded by the PRIN project GRAFIA and MUR Departement of Excellence Programme 2023-2027 MatMod@Tov.

Previously

I was a doctoral candidate at Eindhoven University of Technology, in Prof. dr. Mark A. Peletier's group. My supervisors were Prof. Alberto Chiarini (Univeristy of Padova) and Prof. Giovanni Conforti (Univeristy of Padova and CMAP, École Polytechnique).

You can email me at: [my surname](at) mat (dot) uniroma2 (dot) it

Short CV

PostDoc Researcher (Assegnista)

01/09/2024 - Present
University of Rome Tor Vergata

PhD student in Mathematics

01/09/2020 - 31/08/2024

Thesis defended on the 23/05/2024

Eindhoven University of Technology (TU/e)

PhD Visiting student

03/01/2023 - 03/04/2023
École Polytechnique - IP Paris

MSc in Mathematics (with honors)

07/10/2018 - 24/07/2020
Sapienza University of Rome

BSc in Mathematics (with honors)

01/10/2015 - 24/07/2018
Sapienza University of Rome

"Considerate la vostra semenza:

fatti non foste a viver come bruti

ma per seguir virtute e canoscenza."

Dante Alighieri, Divina Commedia, Canto XXVI dell’Inferno vv. 118-120

Complete CV

(last update: 05/05/2026)

Research interests

I am interested in probability theory, in its interplay with analysis and geometry and in problems arising from AI and ML. Particularly I am interested in:

the Schrödinger Bridge Problem (SP) and its relationship with (Entropic) Optimal Transport,
Optimal Transport point of view in (Diffusion) Generative Modelling,
Random Fields and their relation with ML/GenAI,
stochastic optimal control problems: long-time behaviour and exponential ergodicity,
high-dimensional probability.

Publications and Preprints

G. Greco, D. Marinucci.
Sparsity for isotropic spherical random fields
arXiv:2601.21535 (01/2026) - Accepted in a special issue of Theory of Probability and Mathematical Statistics
G. Greco.
A Malliavin-Gamma calculus approach to Score Based Diffusion Generative models for random fields
arXiv:2505.13189 (05/2025) - Accepted in INDAM-Springer volume Analysis and Geometry of Random Fields
G. Greco, L. Tamanini.
Hessian stability and convergence rates for entropic and Sinkhorn potentials via semiconcavity
Bernoulli 32(3): 2351-2378 (August 2026).
A. Chiarini, G. Conforti, G. Greco, L. Tamanini.
A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn's algorithm
arXiv:2412.09235 (12/2024)
G. Conforti, A. Durmus, G. Greco.
Quantitative contraction rates for Sinkhorn's algorithm: beyond bounded costs and compact marginals
arXiv:2304.04451 (04/2023) - Accepted in Annals of Applied Probability
G. Greco, M. Noble, G. Conforti, A. Durmus.
Non-asymptotic convergence bounds for Sinkhorn iterates and their gradients: a coupling approach
Proceedings of Thirty Sixth Conference on Learning Theory (COLT 2023) in PMLR 195:716-746 (2023)
A. Chiarini, G. Conforti, G. Greco, L. Tamanini.
Gradient estimates for the Schrödinger potentials: convergence to the Brenier map and quantitative stability
Communications in Partial Differential Equations 48:6, 895-943 (2023)
A. Chiarini, G. Conforti, G. Greco, Z. Ren.
Entropic turnpike estimates for the kinetic Schrödinger problem
Electron. J. Probab. 27: 1-32 (2022)

Thesis

PhD thesis: The Schrödinger problem: where analysis meets stochastics.
Supervisors: Prof. Mark A. Peletier (TU/e), Prof. Alberto Chiarini (UniPD) and Prof. Giovanni Conforti (UniPD and IP Paris) - 05/2024

MSc thesis: Signal-to-noise ratio thresholds in principal component analysis.
Supervisor: Professor Alessandra Faggionato - 07/2020

BSc thesis: Homological algebra of unbounded complexes (in italian).
Supervisor: Professor Marco Manetti - 07/2018

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