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Giacomo Maria Leccese ,
20232024 ,
Dissipative solutions to Hamiltonian system, and one conjecture for non autonomous viscous conservation laws and one in measure theory
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Luca Gennaioli ,
20232024 ,
Geometric analysis and measure theory in general ambient spaces
Advisor(s):
Related publication(s):
 Fourier transform of BV functions, isoperimetry, and discrepancy theory (2024)
 A note about charts built by ErikssonBique and Soultanis on metric measure spaces (2024)
 Comments on the regularity of harmonic maps between singular spaces (2024)
 On the Hausdorff Measure of $\mathbbR^n$ with the Euclidean Topology (2023)
 Asymptotics as $s \to 0^+$ of the fractional perimeter on Riemannian manifolds (2023)

Marco Feder ,
20232024 ,
Nonmatching and polytopic finite element techniques with applications to multilevel methods
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Valentin Nkana Ngan ,
20232024 ,
Hybrid reducedorder methods for segregated fluidstructure interaction solvers in an ALE approach using the Finite Volume Method.
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Related publication(s):
 A hybrid reducedorder model for segregated fluidstructure interaction solvers in an ALE approach at high Reynolds number (2024)
 A segregated reduced order model of a pressurebased solver for turbulent compressible flows (2024)
 A reducedorder model for segregated fluidstructure interaction solvers based on an ALE approach (2022)

Annamaria Ortu ,
2022/2023 ,
The geometry of holomorphic submersions, their deformations and moduli
Advisor(s):Dervan, Ruadhaí

Fabio Marconi ,
2022/2023 ,
A general splitting principle on the nonsmooth setting and applications
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Hayato Morimura ,
2022/2023 ,
Variation of gluing in homological mirror symmetry
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Jacopo Zanchettin ,
2022/2023 ,
Algebraic Structures in Noncommutative Geometry: A Study of Hopf Algebras, HopfGalois Extensions, and Hopf Algebroids
Advisor(s):

Umar Shahzad ,
2022/2023 ,
RicciFlat Metrics on Canonical Bundles
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Cristoforo Iossa ,
20222023 ,
Heun Connection Formulae from Liouville Correlators
Advisor(s):Giulio Bonelli

Davide Manini ,
20222023 ,
Isoperimetric inequalities in noncompact spaces
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Francesco Romor ,
20222023 ,
Nonlinear Parameter Space and Model Order Reductions enhanced by scientific machine learning
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Related publication(s):
 Generative models for the deformation of industrial shapes with linear geometric constraints: Model order and parameter space reductions. (2024)
 Nonlinear manifold reducedorder models with convolutional autoencoders and reduced overcollocation method (2023)
 Friedrichs' systems discretized with the Discontinuous Galerkin method: domain decomposable model order reduction and Graph Neural Networks approximating vanishing viscosity solutions (2023)
 Explicable hyperreduced order models on nonlinearly approximated solution manifolds of compressible and incompressible NavierStokes equations (2023)
 Kernelbased active subspaces with application to computational fluid dynamics parametric problems using discontinuous Galerkin method (2022)
 ATHENA: Advanced Techniques for High dimensional parameter spaces to Enhance Numerical Analysis (2021)
 Multifidelity data fusion for the approximation of scalar functions with low intrinsic dimensionality through active subspaces (2021)
 A local approach to parameter space reduction for regression and classification tasks (2021)
 Multifidelity data fusion through parameter space reduction with applications to automotive engineering (2021)
 Kernelbased Active Subspaces with application to CFD parametric problems using Discontinuous Galerkin method (2020)

Ivan Prusak ,
20222023 ,
Application of optimisationbased domaindecomposition reduced order models to parameterdependent fluid dynamics and multiphysics problems
Advisor(s):

Mario De Marco ,
20222023 ,
Compound Du Val singularities, fivedimensional SCFTs and GV invariants
Advisor(s):

Martina Zizza ,
20222023 ,
Some results on mixing flows and on the blocking fire problem
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Nicholas Rungi ,
20222023 ,
PseudoKähler geometry of Hitchin representations and convex projective structures
Andrea Tamburelli

Paolo Ventura ,
20222023 ,
BenjaminFeir instability in Stokes waves
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Related publication(s):
 Stokes waves at the critical depth are modulationally unstable (2024)
 First isola of modulational instability of Stokes waves in deep water (2024)
 Infinitely many isolas of modulational instability for Stokes waves (2024)
 BenjaminFeir instability of Stokes waves in finite depth (2023)
 On the analyticity of the DirichletNeumann operator and Stokes waves (2022)
 Full description of BenjaminFeir instability of Stokes waves in deep water (2022)
 BenjaminFeir instability of Stokes waves (2022)

Simone Carano ,
20222023 ,
Area functional and relaxation: an approach in dimension 2 and codimension 2 via strict BVconvergence
Advisor(s):

Warren Cattani ,
20222023 ,
Topics on Homological Projective Geometry
Advisor(s):Alexander G. Kuznetsov

Blessing Oni ,
2021/2022 ,
Pointed Hopf Algebra (Co)actions on Rational Functions
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Elena Lukzen ,
2021/2022 ,
Topological stability obstructions and geometry of Algebraic Surfaces
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Leo Bastien Mathis ,
2021/2022 ,
The handbook of zonoid calculus
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Samreena Samreena ,
2021/2022 ,
Minimal hypersurfaces in U(m)invariant scalar flat Kähler manifolds
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Alessandro Scagliotti ,
20212022 ,
Ensembles of affinecontrol systems with applications to Deep Learning
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Dario Andrini ,
20212022 ,
Transient morphing and optimal shape design of synthetic and natural active structures
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Federico Cianci ,
20212022 ,
On some viscoelastic problems with memory in timedependent domains
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Federico Murgante ,
20212022 ,
Hamiltonian PDEs in fluid dynamics: local and long time existence results
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Fran Globlek ,
20212022 ,
Quantum Field Theories, Isomonodromic Deformations and Matrix Models
Advisor(s):Giulio Bonelli

Laura Meneghetti ,
20212022 ,
A Reduced Order Approach for Artificial Neural Networks applied to Object Recognition
Advisor(s):Industrial Advisor: Daniele Turrin

Luigi De Masi ,
20212022 ,
Existence and properties of minimal surfaces and varifolds with contact angle conditions
Advisor(s):
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