Gianmarco Caldini

I am a third-year Ph.D. student advised by William Browder, Camillo De Lellis and Andrea Marchese.

University of Trento, Department of Mathematics.

e-mail: gianmarco.caldini@unitn.it

Publications and preprints:

• On smooth approximation of integral cycles mod 2,

preprint arXiv:2511.10545.

• Hausdorff measure bounds for density-Q flat singularities of minimizing integral currents (with A. Skorobogatova),

preprint arXiv:2504.19234.

• Optimal smooth approximation of integral cycles (with F. Almgren, W. Browder and C. De Lellis),

preprint arXiv:2411.17678.

See also D. Fischler's article in the IAS Ideas: The Measure of Life.

• Generic uniqueness for the Plateau problem (with A. Marchese, A. Merlo and S. Steinbrüchel),

Journal de Mathématiques Pures et Appliquées, 181, 1-21, 2024.

• Generic uniqueness of optimal transportation networks (with A. Marchese and S. Steinbrüchel),

Calculus of Variations and Partial Differential Equations, 62, 235, 2023.

• On the notion of measurable utility: an order isomorphism theorem,

preprint arXiv:2301.01271.