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• Geometric Analysis
• Partial Differential Equations
• Calculus of Variations
• +3 more

Andrea Pinamonti is an Associate Professor at the University of Trento. His research focuses on geometric analysis, partial differential equations, calculus of variations, and functional analysis in metric measure spaces, particularly in sub-Riemannian and Carnot group settings. He frequently collaborates with researchers from institutions such as the Universities of Pisa, Jyväskylä, and others, addressing topics like geometric measure theory, regularity of solutions, and nonlocal functionals. His recent work examines structures in Heisenberg groups, such as perimeter minimization, CR geometry, and differentiability theorems. He has also explored equations involving the p-Laplacian, fractional operators, and universal differentiability sets in non-Euclidean spaces. These studies reflect a sustained engagement with the interplay between geometry and analysis in sub-Riemannian frameworks. Events and Contributions: Speaker at Warsaw Analysis Days Event WADE25 (2025), Summer school in fluid dynamics (2024), and Workshop on Synthetic Curvature Bounds (2024). Organizer of Three days between Analysis and Geometry in Trento (2025, 2024) and EUregio School on Control Theory and Applications (2024). He has maintained a prolific publication record across high-impact journals such as Journal of Geometric Analysis , Advances in Mathematics , and Communications in Contemporary Mathematics . His academic activities include promoting collaborative research through workshops and open positions at his institution.

• Geometric Measure Theory
• Optimal Transport
• Calculus of Variations
• +3 more

Luigi Ambrosio is a Full Professor at the Scuola Normale Superiore di Pisa (SNS), specializing in geometric measure theory, optimal transport, and partial differential equations. His research focuses on the interplay between geometric analysis, functional analysis, and calculus of variations, with applications to metric measure spaces and stochastic processes. He has organized numerous conferences and schools on optimal transport and geometric analysis, including the 2025 'XXXV Convegno Nazionale di Calcolo delle Variazioni.' Key research interests include the theory of currents, regularity of flows, and the application of optimal transport to problems in probability and geometry. Notable contributions include foundational work on metric Sobolev spaces, RCD spaces, and the analysis of geometric flows. Ambrosio frequently collaborates with leading institutions and has supervised numerous seminars on topics ranging from gradient flows to non-smooth geometric structures. His publications span over 150 papers, addressing topics such as the regularity of vector fields, entropy flows in Carnot groups, and the stability of action functionals. Recent works (2021–2025) explore superposition principles for currents, sharp PDE estimates for random matching, and embedding theorems for metric spaces. Ambrosio is also active in academic leadership, contributing to editorial boards and international research networks.

• Geometric Analysis
• Partial Differential Equations
• Calculus of Variations
• +6 more

Salvatore Stuvard is an Associate Professor at the Department of Mathematics 'Federigo Enriques' of the University of Milan. He holds a Ph.D. from the University of Zurich (2017) and served as a Bing Instructor at the University of Texas at Austin (2017–2021). His research focuses on regularity theory for solutions in geometric analysis, particularly minimal surfaces, mean curvature flows, and geometric measure theory. He has organized seminars such as the Analysis Seminar at the University of Milan and co-organizes events like the 'Geometric Methods in Calculus of Variations.' His work bridges PDEs, geometric flows, and variational methods, addressing singularities and structural properties of geometric objects. Research interests include: Geometric Analysis and Geometric Flows Partial Differential Equations (PDEs) and Calculus of Variations Mean Curvature Flow (Brakke flows and multi-phase dynamics) Modulo p minimization and singular set structure Soap film/capillarity models and free-boundary problems Recent work emphasizes dynamical instability of minimal surfaces, end-time regularity of Brakke flows, and singular limits in capillarity problems. He co-organized the 2025 'Geometric Methods in Calculus of Variations' conference in Pisa.

• Calculus of Variations
• Geometric Analysis
• Partial Differential Equations
• +4 more

Domenico Mucci is an Associate Professor at the Department of Mathematics, University of Parma. His research focuses on calculus of variations, geometric analysis, and partial differential equations with applications to material science and continuum mechanics. Key areas of investigation include energy relaxation in constrained mappings, geometric curvatures of irregular curves, and fracture mechanics in elastic materials. Education details are not explicitly provided, but his extensive publication record indicates advanced expertise in mathematical analysis and applied mathematics. His work often involves collaborations with leading researchers such as P.M. Mariano and L. Nicolodi, addressing topics like BV spaces, Sobolev maps, and the mathematical foundations of non-smooth geometric structures. Research interests prominently feature relaxed energies in constrained systems , nonlinear elasticity models , and geometric singularities . Recent articles explore generalized Varga materials, minimal hyperfurfaces, and crack nucleation in shells. His contributions bridge pure mathematical analysis with applied mechanics, addressing problems in materials science and engineering. No scientific awards are explicitly mentioned, but his prolific publication history (64 papers listed) reflects sustained academic impact. Ongoing work includes studies on fractional Sobolev spaces, weak curvatures, and variational problems in high-dimensional settings. Collaborations often involve theoretical frameworks for continuum kinematics and incompatible strain decompositions.

• Geometric Measure Theory
• Optimal Transport
• Partial Differential Equations (PDEs)
• +3 more

Paolo Bonicatto is an Assistant Professor in the Department of Mathematics at the University of Trento . His teaching responsibilities include courses such as Analisi matematica 2 for Industrial Engineering students, focusing on differential and integral calculus for functions of several variables and applications to physics. He also contributes to advanced programs in Mathematics at the Master's level, including Geometric Measure Theory and Optimal Transport , emphasizing problem-solving and mathematical modeling skills. His research interests span Geometric Measure Theory , Optimal Transport , and Partial Differential Equations (PDEs) , with a focus on topics like current transport, regularity theory for transport equations, and applications to material science. Recent work involves the analysis of advection-diffusion equations, homogenization of elasto-plastic evolutions, and the structure of divergence-free measures in low dimensions. His publications highlight contributions to the well-posedness of transport equations, renormalization techniques for vector fields, and the study of BMO-type norms and Poincaré inequalities. Notably, his work addresses foundational questions in calculus of variations and functional analysis, such as representations of total variation and decomposition results for vector fields. While no scientific awards or grants are explicitly listed, his academic output reflects active engagement with cutting-edge problems in mathematical analysis. He collaborates on interdisciplinary projects, bridging pure mathematics and applications in physics and engineering. No lab affiliations or student advisements are documented in the provided materials.

• Mathematical Analysis
• Differential Equations
• Controllability
• +3 more

Valentina TADDEI is an Associate Professor at the University of Modena and Reggio Emilia, affiliated with the Department of Engineering Sciences and Methods. Her research focuses on mathematical analysis, differential equations, and control theory with applications to semilinear systems, nonlocal boundary conditions, and fractional calculus. She holds an ORCID identifier (0000-0001-6171-2499) and is based at the Reggio Emilia campus office via Amendola 2. Her recent work emphasizes controllability of partial differential equations, impulsive systems, and nonlocal evolution problems. Key themes include mild solutions for impulsive differential inclusions, exact controllability in Banach spaces, and wavefront analysis in reaction-diffusion models. She has contributed to both theoretical advancements and applied methodologies in nonlinear analysis. No scientific awards or grants are explicitly listed in the provided materials. Her advising activities are not detailed here, but her research group likely engages with topics in functional differential equations and operator theory.

• Algebraic Geometry
• Fano varieties
• Mori theory
• +5 more

Gianluca Occhetta is a Full Professor of Geometry at the Department of Mathematics, University of Trento. His expertise spans algebraic geometry, Fano varieties, Mori theory, projective geometry, and rational homogeneous manifolds. He has supervised numerous theses across undergraduate and graduate programs, focusing on geometric topics like Schubert varieties, Grassmannians, and birational transformations. Research interests include the classification of algebraic varieties, birational geometry, and the study of vector bundles on Fano manifolds. His work often intersects with Mori theory, exploring extremal rays, rational curves, and geometric realizations of birational maps. Notable contributions involve characterizing rational homogeneous spaces via group actions and analyzing morphisms between Grassmannians. Over 84 theses have been supervised or examined, reflecting his commitment to mentoring students in geometry and algebraic structures. His publications (over 50 since 2000) emphasize geometric invariant theory, Chow quotients, and the interplay between algebraic varieties and group actions. A PDF CV provides further details on his academic trajectory and contributions.

• Functional Analysis
• Operator Theory
• Spectral Theory
• +7 more

Angela Anna ALBANESE is a Full Professor in the Department of Mathematics and Physics "Ennio De Giorgi" at the University of Salento, Italy, a position she has held since October 1, 2021. She previously served as an Associate Professor in the same department from 1998 to 2021. She earned her degree in Mathematics from the University of Lecce in 1991 and began her academic career there as a researcher from 1993 to 1998. She has held visiting positions at the Polytechnic University of Valencia (Spain) and the University of Tübingen (Germany), and was a CNR-Italy fellow at the Polytechnic University of Valencia. Her research is centered on Functional Analysis , particularly in Operator Theory , Ultradifferentiable Classes , Sequence Spaces , and Spectral Theory . Her work investigates the properties of Cesàro and related operators in various function and sequence spaces, including Fréchet and Banach spaces, with a strong emphasis on regularity, spectral behavior, and dynamical properties. Her expertise also extends to partial differential equations and harmonic analysis. The recent publications highlight a sustained focus on operator theory in function spaces , with a particular concentration on the Cesàro operator and its generalizations across different topological vector spaces. A significant trend is the analysis of spectral properties and dynamics of composition, multiplication, and convolution operators. Her work increasingly bridges classical functional analysis with applications in harmonic analysis and PDEs, as seen in her research on time-frequency representations and hypoellipticity. National Scientific Qualification (ASN) as Full Professor of Analysis (2013) National Scientific Qualification (ASN) as Full Professor of Analysis (2019, 1st quarter) Prof. ALBANESE plays a significant role in academic leadership and service. She is the Coordinator of the PhD School in "Mathematics and Computer Science" at the University of Salento (since 2019) and a member of the Doctoral School Board (since 2024). She has been a member of the Teaching Committee for the PhD School in Mathematics since 2007. She has served as an Assistant Editor for the journal Note di Matematica (2009–2019) and is currently a member of the Editorial Board of the Banach Journal of Mathematical Analysis (since 2023). She is a prolific reviewer for numerous journals and funding bodies, including Zentralblatt MATH, the Austrian Science Fund (FWF), and the VQR. Her research has been supported by several national and international projects. She was the main researcher for a project on "Functional Analysis and Applications-Young Researchers" at the University of Lecce and has participated in multiple projects funded by the National Institute of Higher Mathematics (INdAM) and the Italian Ministry of University and Scientific Research. She was also a researcher on a Spanish Ministry of Science and Innovation project titled "Metodos de analisis funcional para el analisis matematico".

• Mathematical Analysis
• Nonlinear Analysis
• Functional Analysis
• +2 more

Elisabetta Tornatore is an Associate Professor in Mathematics and Computer Science at the University of Palermo. She teaches courses such as Mathematical Analysis, Nonlinear Analysis, and Differential and Integral Calculus of Several Variables across multiple departments including Environmental Engineering, Civil Engineering, and Building Engineering. Office hours: Tuesdays 12:00-13:00 Contact: elisa.tornatore@unipa.it Research Interests: Her work focuses on mathematical analysis, particularly in nonlinear and functional analysis, with applications to engineering and physical sciences. She specializes in multivariable calculus, differential equations, and mathematical modeling. Publication Trends: Recent articles show expertise in nonlinear analysis, functional analysis, and multivariable calculus, applied to fields like environmental engineering, civil engineering, and physical sciences. Teaching Portfolio: Courses span foundational calculus for engineering students to advanced nonlinear analysis topics, reflecting her dual expertise in mathematics and interdisciplinary applications.

Simone Di MarinoView profile

Associate Professor

• Optimal Transport
• Mathematical Analysis
• Partial Differential Equations
• +3 more

Simone Di Marino is an Associate Professor in the Department of Mathematics at the University of Genoa. His research focuses on Optimal Transport, Mathematical Analysis, and their applications to Partial Differential Equations and Functional Analysis. He is a member of the research commission and teaches courses such as Mathematical Analysis, Calculus, and specialized topics in Mathematics and Engineering programs. His research interests include Optimal Transport Theory, Nonlinear Analysis, and the development of variational methods for problems in mathematical physics and differential geometry. He explores topics such as gradient flows, entropy regularization, and geometric inequalities on manifolds. Recent work highlights contributions to the theory of Grand-Canonical Optimal Transport, nonlinear mobilities in transport models, and the convexity properties of ground state energies in quantum systems. His articles often bridge pure analysis with applications in physics and numerical methods. Di Marino is available for student consultations on Wednesdays from 2pm to 4pm. Though no specific grants or awards are listed, his extensive publication record reflects active engagement in collaborative research.

• Calculus of variations
• Carnot groups
• Differential equations
• +9 more

Francesco Serra Cassano is a Full Professor at the Department of Mathematics, University of Trento, Italy. His research focuses on Calculus of Variations and Geometric Measure Theory in sub-Riemannian (Carnot/Heisenberg) metric structures. Laurea in Mathematics, University of Pisa (1986) PhD studies, University of Pisa (1988-1991) Scholarship at Université Paris VI (1991) His research explores intrinsic geometric objects in Carnot groups, including finite perimeter sets, Lipschitz surfaces, area formulas, and minimal surfaces. Recent work addresses Bernstein problems and regularity of solutions to vector field-dependent PDEs. Key trends in his 15 most recent publications include: Advances in intrinsic graph theory and minimal surfaces in Heisenberg groups Gamma-convergence of functionals depending on vector fields Poincaré-type inequalities in sub-Riemannian settings Approximation theorems for weighted Sobolev spaces Applications to two-phase transition models He has organized major schools/conferences including: Analysis and Geometry on Metric Spaces (Trento-Levico Terme, 1999-2019) Italian Meeting of Calculus of Variations (Levico Terme, 2001-2018) Sub-Riemannian Geometry and Beyond (Jyvaskyla, 2019) As an advisor, he has supervised 10 PhD students and 8 postdocs, including collaborations with international institutions like the University of Jyvaskila (Finland) and Scuola Normale Superiore (Pisa). He currently coordinates the local research group "Geometric measure theory and variational problems in Riemannian and Sub-Riemannian metric structures" under the national PRIN project.

• Metric Measure Spaces
• Sobolev Spaces
• Calculus of Variations
• +3 more

Danka Lučić is a Researcher at the University of Jyväskylä, specializing in advanced mathematical analysis with a focus on metric measure spaces, Sobolev spaces, and non-smooth geometry. Her work bridges functional analysis, geometric measure theory, and calculus of variations, addressing foundational questions in these areas through innovative axiomatic and analytical approaches. Education: Ph.D. in Mathematics, 2019 (Thesis: Universal infinitesimal Hilbertianity of sub-Riemannian manifolds) Her research explores topics such as BV functions, normed modules, and optimization problems in metric settings. She has contributed to representation theorems, density results, and Gamma-convergence techniques in non-smooth frameworks. Collaborations with leading mathematicians like Nicola Gigli, Enrico Pasqualetto, and Tapio Rajala highlight her role in advancing interdisciplinary mathematical analysis. Her recent work emphasizes metric Sobolev spaces, Lebesgue differentiation in measure spaces, and applications to geometric optimization. Notable results include equivalence of Sobolev space definitions, BV-extension set approximations, and analysis of Hilbertian structures in non-Euclidean spaces.

• Geometric Analysis
• Functional Analysis
• Geometric Measure Theory
• +4 more

Enrico Pasqualetto is an Academy Research Fellow at the University of Jyväskylä (Finland), specializing in Geometric Analysis, Functional Analysis, and Geometric Measure Theory. His research focuses on Sobolev/BV calculus, RCD spaces (metric measure spaces with synthetic Ricci bounds), and randomly normed modules. He completed his PhD under Giuseppe Savaré at TU Munich and holds degrees from Politecnico di Milano under Sandro Salsa and Luigi Ambrosio. His work includes studies on metric Sobolev spaces, isoperimetric properties, and applications to non-smooth geometry. Pasqualetto collaborates with researchers like Luigi Ambrosio, Nicola Gigli, and Tapio Rajala, contributing to foundational theories in metric measure spaces and their geometric properties.

• Partial Differential Equations
• Fluid Dynamics
• Calculus of Variations
• +3 more

Maria Colombo is an Assistant Professor at École Polytechnique Fédérale de Lausanne (EPFL). Her research focuses on nonlinear partial differential equations (PDEs), particularly in fluid dynamics, calculus of variations, and optimal transport. She investigates fundamental questions related to existence, uniqueness, and regularity of solutions in contexts such as Euler and Navier-Stokes equations, nonlocal conservation laws, and branched transportation networks. Her work spans theoretical analysis of PDEs, including studies on non-uniqueness phenomena in transport equations, stability of optimal traffic plans, and singular limits of nonlocal models. She also explores geometric aspects of variational problems, such as free boundary regularity and epiperimetric inequalities. Colombo's contributions bridge pure mathematics and applied analysis, addressing challenges in both classical and modern settings like semiclassical limits in quantum mechanics. Her research often involves collaboration with leading mathematicians in PDEs and analysis, resulting in over 50 publications in top-tier journals. While no specific awards are listed, her prolific output reflects recognition in her field. She maintains an active presence in academic communities through conference organization and speaking engagements.

• Metric Measure Spaces
• Optimal Transport
• Geometric Analysis
• +3 more

Tapio Rajala is an Associate Professor at the University of Jyväskylä. His research focuses on geometric analysis, metric measure spaces, optimal transport, and functional analysis. He has contributed to areas such as Sobolev extensions, BV spaces, and geometric measure theory in non-smooth settings. His work often intersects with calculus of variations, partial differential equations, and the study of geometric properties in metric spaces. Recent publications explore topics like Laplacian bounds in metric measure spaces, entropy-transport problems, and dimension estimates for fractal-like structures. Rajala has organized academic events such as the Sub-Riemannian Geometry workshops (2017–2019) and the Optimal Transport and Applications conferences (2011–2018). His research trends emphasize interdisciplinary approaches to geometric analysis and functional inequalities.