Geometric Analysis

Research Areas

Presentation

Classical problems in geometric analysis involve the existence, regularity and presence of possible singularities of minimal surfaces, along with the study of manifolds admitting metrics with prescribed curvature.

These problems constitute a natural bridge between a wide class of partial differential equations and problems in geometry and mathematical physics. They present important aspects that are not yet fully understood from both an analytical and geometric standpoint, attracting much attention from a broad international scientific community.

Thematic period ( November 2024 - February 2025 )

Coordinators:

Francesco Bei, Azahara DelaTorre Pedraza, Francesca De Marchis, Luca Martinazzi, Gabriele Mondello, Paolo Piazza, Adriano Pisante, Marcello Ponsiglione, Andrea Sambusetti, Emanuele Spadaro

2024, November 11th - 15th & 18th - 22nd | Curvature and Geometric Analysis in Rome: a school and a workshop devoted to the many facets of the notion of curvature ( link )

Contact: geometric-analysis.castelnuovo@uniroma1.it

2025, January 20th - 24th / 27th - 31st & February 3rd - 7th | Calculus of Variations and PDE's in Geometric Analysis: two schools and a workshop devoted to the fruitful interactions between calculus of variations, pde's and Riemannian geometry ( link )

Contact: geoan2025.matematica@uniroma1.it

Research Themes

The Eccellenza project promotes exchanges between different research areas within the Department of Mathematics "Guido Castelnuovo". These areas gather multiple competences and are active in several lines of investigation:

Calculus of Variations
Differential Geometry
Elliptic nonlinear problems

Regular Seminars

We collect here the regular scientific meetings of the research teams related to the Eccellenza project:

Algebra and Geometry seminar ( link )
Mathematical Analysis seminar ( link )
Mathematical Models for Applications seminar ( link )
Nonlinear Differential Problems seminar ( link )

Upcomings events

Past events

2024, November 11th - 15th & 18th - 22nd | Curvature and Geometric Analysis in Rome: a school and a workshop devoted to the many facets of the notion of curvature ( link )
2025, January 20th - 24th / 27th - 31st & February 3rd - 7th | Calculus of Variations and PDE's in Geometric Analysis: two schools and a workshop devoted to the fruitful interactions between calculus of variations, pde's and Riemannian geometry ( link )

Preprints and publications

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