[marchese]

Associate Professor, Università di Trento

**Email:** *andrea.marchese AT unitn.it*

**Home-page:** https://sites.google.com/view/andrea-marchese/home

- A. Marchese - A. Merlo (Preprint)

A simple proof of the $1$-dimensional flat chain conjecture (2024) - G. Caldini - A. Marchese - A. Merlo - S. Steinbrüchel (Accepted Paper:
*J. Math. Pures Appl.*)

Generic uniqueness for the Plateau problem (2023) - G. Alberti - D. Bate - A. Marchese (Preprint)

On the closability of differential operators (2023) - C. De Lellis - J. Hirsch - A. Marchese - L. Spolaor - S. Stuvard (Submitted Paper)

Excess decay for minimizing hypercurrents mod $2Q$ (2023) - C. De Lellis - J. Hirsch - A. Marchese - S. Stuvard (
*Comm. Pure Appl. Math.*)

Area minimizing currents mod $2Q$: linear regularity theory (2022) - G. De Philippis - A. Marchese - A. Merlo - A. Pinamonti - F. Rindler (Submitted Paper)

On the converse of Pansu's Theorem (2022) - G. Caldini - A. Marchese - S. Steinbrüchel (Accepted Paper:
*Calc. Var. PDE*)

Generic uniqueness of optimal transportation networks (2022) - G. Alberti - A. Marchese (Preprint)

On the structure of flat chains with finite mass (2022) - C. De Lellis - J. Hirsch - A. Marchese - L. Spolaor - S. Stuvard (Submitted Paper)

Fine structure of the singular set of area minimizing hypersurfaces modulo $p$ (2022) - M. Colombo - A. De Rosa - A. Marchese - P. Pegon - A. Prouff (
*Discrete and Continuous Dynamical Systems*)

Stability of optimal traffic plans in the irrigation problem (2022) - M. Colombo - A. De Rosa - A. Marchese (
*Comm. Pure App. Math.*)

On the well-posedness of branched transportation (2021) - A. Marchese - A. Massaccesi - S. Stuvard - R. Tione (
*Calc. Var. Partial Differential Equations*)

A multi-material transport problem with arbitrary marginals (2021) - C. De Lellis - J. Hirsch - A. Marchese - L. Spolaor - S. Stuvard (Submitted Paper)

Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem (2021) - A. Marchese - A. Merlo (Accepted Paper:
*Analysis & PDE*)

Characterization of rectifiability via Lusin type approximation (2021) - C. De Lellis - J. Hirsch - A. Marchese - S. Stuvard (
*Geom. Funct. Anal.*)

Regularity of area minimizing currents mod $p$ (2020) - M. Carioni - A. Marchese - A. Massaccesi - A. Pluda - R. Tione (
*Nonlinear Anal.*)

The oriented mailing problem and its convex relaxation (2020) - M. Colombo - A. De Rosa - A. Marchese (
*J. Math. Pures Appl.*)

Stability for the mailing problem (2019) - A. Marchese - A. Massaccesi - R. Tione (
*SIAM J. Math. Anal.*)

A multi-material transport problem and its convex relaxation via rectifiable G-currents (2019) - A. Marchese - S. Stuvard (
*Adv. Calc. Var.*)

On the structure of flat chains modulo $p$ (2018) - A. Marchese - B. Wirth (
*J. Math. Anal. Appl.*)

Approximation of rectifiable $1$-currents and weak-$\ast$ relaxation of the $h$-mass (2018) - C. De Lellis - A. Marchese - E. Spadaro - D. Valtorta (
*Comm. Math. Helv.*)

Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps (2018) - M. Colombo - A. De Rosa - A. Marchese (
*Calc. Var. Partial Differential Equations*)

Improved stability of optimal traffic paths (2018) - A. Marchese (Preprint)

On the structure of singular measures in the Euclidean space (2017) - A. Marchese (Accepted Paper:
*Proc. Roy. Soc. Edinburgh Sect. A*)

Residually many BV homeomorphisms map a null set in a set of full measure (2017) - M. Colombo - A. De Rosa - A. Marchese - S. Stuvard (
*Nonlinear Analysis*)

On the lower semicontinuous envelope of functionals defined on polyhedral chains (2017) - D. Inauen - A. Marchese (
*J. Funct. Anal.*)

Quantitative minimality of strictly stable minimal submanifolds in a small flat neighbourhood (2017) - A. Marchese - A. Massaccesi (
*Advances in Calculus of Variations*)

The Steiner tree problem revisited through rectifiable $G$-currents (2016) - G. Alberti - A. Marchese (
*Geom. Funct. Anal. (GAFA)*)

On the differentiability of Lipschitz functions with respect to measures in the Euclidean space (2016) - G. De Philippis - A. Marchese - F. Rindler (Accepted Paper)

On a conjecture of Cheeger (2016) - A. Marchese - A. Schioppa (
*Calc. Var. Partial Differential Equations*)

Lipschitz functions with prescribed blowups at many points (2016) - A. Marchese (Rend. Semin. Mat. Univ. Padova)

Lusin type theorems for Radon measures (2015) - M. Focardi - A. Marchese - E. Spadaro (
*Journal of Functional Analysis*)

Improved estimate of the singular set of Dir-minimizing Q-valued functions via an abstract regularity result (2015) - P. Logaritsch - A. Marchese (
*Arch. Math*)

Kirszbraun's extension theorem fails for Almgren's multiple valued functions (2014) - A. Marchese - A. Massaccesi (ESAIM Control Optim. Calc. Var.:
*ESAIM: COCV*)

An optimal irrigation network with infinitely many branching points (2014) - A. Marchese (Phd Thesis)

Two applications of the Theory of Currents (2013) - A. Marchese (Accepted Paper:
*Proc. Amer. Math. Soc.*)

On the building dimension of closed cones and Almgren’s stratification principle. (2013) - A. Marchese - C. Zanco (
*Israel J. math.*)

On a question by Corson about point-finite coverings (2012)

*15 nov 2017:*Branched transportation: stability and new models.*16 may 2012:*Rademacher's theorem for Euclidean measures

*24 jun 2024 - 28 jun 2024:*Calculus of Variations in Lille - 4th edition*25 mar 2024 - 28 mar 2024:*M&M's - Measures and Materials Workshop*31 jan 2024 - 2 feb 2024:*Calculus of Variations in Siena*12 jun 2023 - 16 jun 2023:*Harmonic Analysis, Partial Differential Equations, and Geometric Measure Theory in Bilbao 2023*29 may 2023 - 2 jun 2023:*Geometric Measure Theory, Bressanone 2023*8 jun 2022 - 10 jun 2022:*Geometric Analysis and PDE on Garda Lake*24 aug 2020 - 4 sep 2020:*2020 Focus Period for the FRG: New Challenges in Geometric Measure Theory*11 jun 2018 - 15 jun 2018:*Geometric Measure Theory in Verona

*2 sep 2024 - 4 sep 2024:*Three days between analysis and geometry in Trento (third edition)*17 jun 2024 - 21 jun 2024:*Geometric Measure Theory and applications 2024*28 aug 2023 - 30 aug 2023:*Three days between Analysis and Geometry in Trento - 2° edition (New fundings available for Postdocs!!)*29 aug 2022 - 31 aug 2022:*Three days between Analysis and Geometry in Trento*30 aug 2021 - 3 sep 2021:*Geometric Measure Theory and applications*16 jan 2020 - 17 jan 2020:*Geometric Measure Theory in Padova*24 sep 2018 - 28 sep 2018:*Workshop MAR: Metric Analysis and Regularity*24 apr 2017 - 26 apr 2017:*Transport problems in Zurich