Research

Publications

1. A. Del Prete. 

"Constant Mean Curvature graphs with prescribed asymptotic values in 𝔼(−1,𝜏)."

Journal of Mathematical Analysis and Applications 555, 1 (2026). DOI: 10.1016/j.jmaa.2025.130169 

2. A. Del Prete. 

"Minimal graphs over non-compact domains in 3-manifolds with a Killing vector field." 

Results in Mathematics 80, 192 (2025).DOI: 10.1007/s00025-025-02500-8. 

3. A. Del Prete, V. Gimeno Garcia. 

"Parabolicity of Surfaces invariant by isometries."

Journal of Geometric Analysis 34, 109 (2024). DOI: 10.1007/s12220-024-01552-6. 

4. A. Del Prete, H. Lee, J. M. Manzano. 

"A duality for prescribed mean curvature graphs in Riemannian and Lorentzian Killing submersions."

Mathematische Nachrichten 297, 5 (2024), 1581–1600. DOI: 10.1002/mana.202300282. 

Accepted for publication

• A. Del Prete, J. M. Manzano, B. Nelli.

"The Jenkins–Serrin problem in 3-manifolds with a Killing vector field." 

Accepted to appear in American Journal of Mathematics. Preprint (2023). ArXiv:2306.12195. 

Preprints

Currently working on:

• A. Del Prete, J. M. Manzano, J. S. Santiago Villanueva. 

"The Bernstein problem in Sol3."

• A. Del Prete, F. Bonsante. 

"Endings of Maximal Parabolic surfaces in AdS3."

• Existencia y unicidad de grafos mínimos en dominios no compactos: la utilidad del resultado de Jenkins-Serrin y de las estimaciones de Collin-Krust, III Jornada Seminario de Matemáticas, EPSL, Universidad de Jaén, Linares, Spain, January 29, 2026.

• Hacia el problema de Bernstein para superficies mínimas en Sol3 mediante una correspondencia con AdS3, Congreso Bienal de la Real Sociedad Matemática Española, Universidad de Alicante, Alicante, Spain, January 19-23, 2026.

• A Twin correspondence for prescribed mean curvature graphs in Killing submersions, II Meeting UMI for Doctoral Students, Università Federico II, Naples, Italy, June 13-14, 2024. 

• Convergencia de grafos minimales, VI Seminario de Análisis Geométrico UJA, Universidad de Jaén, Jaén, Spain, May 23-24, 2024. 

• Uniqueness of minimal graphs in the Heisenberg group, YMCAq, Università degli Studi dell’Aquila, L'Aquila, L'Aquila, Italy, December 7, 2023.

• A Twin correspondence for prescribed mean curvature graphs in Killing submersions, Workshop on Riemannian Geometry and Differential Operators, Universitat Jaume I, Castellón de la Plana, Spain, September 28-30, 2023.

• The Jenkins-Serrin Theorem in Killing submersions and applications, Recent Advances in the Theory of Submanifolds, Università Sapienza, Rome, Italy, September 4-8, 2023.

• A Twin correspondence for prescribed mean curvature graphs in Killing submersions, Real and Complex Manifolds: Topology, Geometry and Holomorphic Dynamics, Università Tor Vergata, Rome, Italy, June 21-23, 2023.

• A Jenkins–Serrin Theorem in 3-manifolds with a Killing vector field, Geometric Analysis: Past, Present and Future (3rd edition), Online School and Workshop, Spring 2023.

• A Twin correspondence for Surfaces in Killing submersions, H-Workshop, Universidad de Granada, Granada, Spain, February 6-10, 2023.

• A generalized Collin-Krust type estimate for prescribed mean curvature graphs in Killing Submersions, Permanent Seminar of the Institut de Matemàtiques i Aplicacions de Castelló, Universitat Jaume I, Castellón de la Plana, Spain, December 7, 2022.

• Some results about constant mean curvature graphs in Killing submersions, Geometry Seminar at University of Granada, Universidad de Granada, Granada, Spain, November 11, 2022.