جست‌وجوی استاد و پژوهشگر

• Mathematical Analysis
• Harmonic Analysis
• Functional Analysis
• +۵ مورد دیگر

Federico Santagati is a fixed-term researcher at the Department of Mathematical Sciences "G.L. Lagrange" (DISMA), Politecnico di Torino, where he contributes to both teaching and research in mathematical analysis. He teaches core courses such as Mathematical Analysis I and Mathematical Analysis II across multiple engineering programs including Aerospace, Biomedical, and Civil Engineering. His research lies at the intersection of harmonic analysis, functional analysis, and differential geometry, with a particular focus on analysis on trees and related metric structures. He is an active member of the Functional Analysis and Differential Geometry (DISMA) research group. The recent publications of Federico Santagati (2024–2025) demonstrate a consistent and deep engagement with maximal operators, heat kernels, and Carleson measures in non-Euclidean settings such as homogeneous and locally finite trees, as well as Damek–Ricci spaces. These works are published in top-tier mathematical journals, indicating strong theoretical contributions to harmonic and geometric analysis. He has no listed scientific awards in the provided texts. Federico Santagati collaborates with prominent mathematicians including Stefano Meda, Matteo Levi, Anita Ottazzi, and Maria Vallarino. While no formal advisees are listed, his role as a course lecturer suggests involvement in mentoring undergraduate and possibly graduate students. There is no mention of research grants or specific labs, though his affiliation with the Functional Analysis and Differential Geometry group implies collaborative research activity.

Annalisa Massaccesiمشاهده پروفایل

دانشیار

• Geometric Measure Theory
• Calculus of Variations
• Partial Differential Equations
• +۳ مورد دیگر

Annalisa Massaccesi is an Associate Professor at the Department of Mathematics 'Tullio Levi-Civita' , University of Padova. Her research focuses on Geometric Measure Theory, Calculus of Variations, and Partial Differential Equations. She has contributed to topics such as mass-minimizing currents, optimal transport, nonlocal diffusion models, and Carnot-Carathéodory spaces. Her work often bridges geometric analysis with advanced analytical techniques. Key areas include: Geometric structures of currents in sub-Riemannian settings Optimal transport problems with multi-material systems Regularity of solutions to PDEs in non-smooth contexts Her articles often explore theoretical frameworks for variational problems, with recent trends emphasizing Frobenius theorem applications and unrectifiability in non-involutive distributions (2025). She has organized conferences on Geometric Measure Theory and collaborates on interdisciplinary projects, including numerical calibration of Steiner trees and biological population dynamics. Education includes a PhD in Mathematical Analysis (2015) with a thesis on modeling dislocations via 1-currents. Active in seminars and workshops, she maintains academic engagement through events like the 'School in Geometric Measure Theory' (2025) and the 'Vito Volterra Meeting in Calculus of Variations' (2023).

• Mathematical Analysis
• Partial Differential Equations
• Functional Analysis
• +۴ مورد دیگر

Sergio Polidoro is a Full Professor at the University of Modena and Reggio Emilia (UNIMORE), affiliated with the Department of Physical, Computer and Mathematical Sciences. His academic role includes teaching advanced courses such as Mathematical Analysis, Probability Theory, Functional Analysis, and Fourier Analysis. He holds a primary appointment in the field of Mathematical Analysis with a focus on Partial Differential Equations (PDEs). His research interests span degenerate PDEs, hypoelliptic operators, Harnack inequalities, and applications in stochastic processes and financial mathematics. Polidoro's work bridges pure and applied mathematics, addressing problems in physics, finance, and engineering through advanced analytical techniques. Polidoro teaches courses like 'Mathematics for Electronic Engineering', 'Advanced Analysis', and 'Theory of Functions', emphasizing rigorous theoretical foundations and practical applications. His recent publications (2021–2025) explore topics such as fractional kinetic operators, Kolmogorov-Fokker-Planck equations, and synchronization models using PDE frameworks. He actively contributes to the mathematical community through conference organization and editorial roles. Notably absent from the data are specific student advisees or formal awards, though his prolific publication record and teaching roles indicate significant academic impact. His work often intersects with stochastic analysis, geometric methods in PDEs, and financial modeling, reflecting interdisciplinary engagement.

• Nonlinear Analysis
• Geometric Analysis
• Partial Differential Equations
• +۳ مورد دیگر

Professor Tomasz Adamowicz is affiliated with the Institute of Mathematics of the Polish Academy of Sciences (IM PAN). His research focuses on nonlinear analysis, geometric analysis, and partial differential equations, with a particular emphasis on variational methods and asymptotic properties in Carnot groups. He has organized several academic events, including the 2024 workshop on Geometric and Variational Analysis in memory of Jan Malý and the 2021 Rajchman-Zygmund-Marcinkiewicz conference. His work bridges geometric structures and analytical techniques in nonlinear settings. Recent contributions include studies on p-Laplacian operators and their mean-value properties within sub-Riemannian geometries. His research spans theoretical frameworks with applications to calculus of variations and geometric PDEs. Contact: tadamowi@impan.pl

Giovanna Cittiمشاهده پروفایل

استاد

• Sub-Riemannian Geometry
• Partial Differential Equations
• Neurogeometry
• +۳ مورد دیگر

Giovanna Citti is a Full Professor at the Department of Mathematics, University of Bologna. Her research focuses on sub-Riemannian geometry, partial differential equations (PDEs), and neurogeometry, with applications to visual perception and image processing. She actively participates in academic conferences and organizes workshops on geometric analysis and sub-Riemannian geometry. Her teaching includes courses in mathematical analysis, applied mathematics, and mathematical methods for biomedical sciences. She supervises international and industrial projects, collaborating with institutions like INAIL and international universities. Key research contributions include studies on sub-Riemannian geometric flows, regularity theory for PDEs, and mathematical models of visual cortex functions. Her work bridges pure mathematics and applied fields, with publications in journals like Journal of Mathematical Imaging and Vision and Calculus of Variations and Partial Differential Equations .

• Geometric Analysis
• Sub-Riemannian Geometry
• Partial Differential Equations
• +۷ مورد دیگر

Bruno Franchi is a Full Professor in the Department of Mathematics at the University of Bologna. His research focuses on geometric analysis, sub-Riemannian geometry, partial differential equations, and calculus of variations. He has organized numerous international conferences, including the 'First Johns Hopkins University - University of Bologna Conference on Noncommutativity' (2024) and the '12th School on Analysis and Geometry in Metric Spaces' (2022). His work bridges pure mathematics with applications in mathematical physics and biology, particularly in modeling Alzheimer's disease via homogenization techniques. Key research interests include Γ-convergence, intrinsic Lipschitz graphs in Carnot groups, and differential forms in non-Euclidean settings. His articles analyze geometric measure theory in Heisenberg groups, wave equations in anisotropic media, and functional inequalities in sub-Riemannian manifolds. Collaborations with co-authors like E. Cinti, A. Baldi, and R. Serapioni have advanced understanding of minimal surfaces, perimeter theory, and variational problems in metric spaces. Franchi has actively contributed to academic events such as the 'Nonlinear PDEs and Applications' conference (2022) and the 'Dispersive and Subelliptic PDEs' workshop (2020). His work emphasizes the interplay between geometric structures and analytical methods in complex spaces, with implications for both theoretical and applied mathematics.

Valentino Magnaniمشاهده پروفایل

دانشیار

• Differential Geometry
• Geometric Analysis
• Sub-Riemannian Geometry
• +۵ مورد دیگر

Valentino Magnani is an Associate Professor in the Department of Mathematics at the University of Pisa, Italy. His research focuses on geometric analysis, sub-Riemannian geometry, and geometric measure theory, with an emphasis on topics such as area formulas, rectifiability, and the properties of measures in homogeneous groups. He has authored over 50 publications in prestigious journals like the Journal of Geometric Analysis, Advances in Mathematics, and Calculus of Variations and Partial Differential Equations. His work explores the interplay between differential geometry and analysis in non-Euclidean settings, including studies on submanifolds, Sobolev spaces, and coarea formulas. Magnani has organized and spoken at numerous international conferences, such as the 'Three Days in Sub-Riemannian Geometry' and 'Geometric Measure Theory in Trento.' He also contributes to academic activities through teaching advanced courses on geometric analysis and metric spaces, including PhD-level lectures on topics like area theory in homogeneous groups. Key research interests include the Michor-Mumford conjecture, symmetry properties in geometric structures, and the application of rough calculus to level sets in Heisenberg groups. His contributions have advanced understanding of measure-theoretic principles and geometric properties in stratified Lie groups and sub-Riemannian manifolds.

• Sub-Riemannian Geometry
• Geometric Control Theory
• Optimal Control
• +۴ مورد دیگر

Luca Rizzi is an Associate Professor at SISSA (Trieste, Italy) and a CNRS Researcher at Institut Fourier (Grenoble, France on leave). He leads the ERC Starting Grant Project GEOSUB (2022–2026) focusing on geometric analysis of sub-Riemannian spaces. Rizzi coordinates the PhD program in Mathematical Analysis, Modeling, and Applications at SISSA. His research interests include Sub-Riemannian Geometry, Geometric Control Theory, and Spectral Geometry. He has organized several international conferences, including the 2025 'New challenges across Analysis and Geometry' and the 2022 AMS-SMF-EMS Special Session on Sub-Riemannian Geometry. Rizzi holds a PhD in Mathematics from SISSA (2014) and an HDR (2021) from Institut Fourier. His work emphasizes curvature analysis, comparison theorems, and applications to hypoelliptic operators. He advises two PhD students and has received the SISSA 'Lutman Prize' for Best PhD Thesis (2015). Education: PhD in Mathematics (SISSA, 2014), HDR (Institut Fourier, 2021) Awards: ERC Starting Grant GEOSUB, SISSA Lutman Prize Grants: GEOSUB (€2.5M), organizing multiple international workshops Roles: Editor of Journal of Dynamical and Control Systems , Sub-Riemannian mailing list coordinator His research explores geometric interpolation inequalities, measure contraction properties, and spectral geometry in sub-Riemannian contexts. Recent studies address curvature-dimension failures, Weyl's law for singular manifolds, and heat content asymptotics. Collaborations span global projects, including the 2023 Geometry and Control in Cortona conference.

Giovanni Albertiمشاهده پروفایل

استاد

• Real Analysis
• Geometric Measure Theory
• Partial Differential Equations
• +۴ مورد دیگر

Giovanni Alberti is a Full Professor of Mathematical Analysis at the Department of Mathematics, University of Pisa. His research focuses on Real Analysis, Geometric Measure Theory, Partial Differential Equations, and their applications to continuum mechanics, including capillarity, phase transitions, and pattern formation. He has contributed to topics such as singular measures, regularity theory, and variational models. He is involved in the 2022 PRIN project on Geometric Measure Theory, directed by Andrea Marchese. His work spans over 60 publications, including key papers on differential operators, fluid dynamics, and geometric structures. Notable projects include studies on quasistatic evolution of sessile drops and optimal reinforcing networks for elastic membranes. Alberti frequently organizes and speaks at international conferences, such as the 'Frontiers in Calculus of Variations' and 'Geometric Measure Theory in Trento'. His research also intersects with applications in material science and mathematical physics.

• Hamilton-Jacobi PDE
• Viscosity solutions
• Mean Field Games
• +۳ مورد دیگر

Claudio Marchi is an Associate Professor of Mathematical Analysis at the University of Padua's Department of Mathematics "Tullio Levi-Civita". He maintains an active teaching and research schedule, with courses in Mathematical Analysis 1 for Biomedical Engineering students and Introduction to Partial Differential Equations for Mathematics students scheduled for the 2025-26 academic year. Professor Marchi's research focuses on Hamilton-Jacobi PDEs and viscosity solutions , Mean Field Games , and multiscale problems in partial differential equations . His work frequently addresses analytical challenges in non-standard geometries including networks and the Heisenberg group. Recent publications demonstrate his expertise in convergence rates, homogenization, and singular perturbation methods for partial differential equations. His publication record shows consistent scholarly output with approximately 3-4 papers annually in recent years, appearing in top mathematics journals including SIAM Journal on Mathematical Analysis, Mathematische Annalen, and Calculus of Variations and Partial Differential Equations. This sustained research activity indicates an established academic career with significant contributions to the field of mathematical analysis. Professor Marchi collaborates extensively with researchers including Fabio Camilli, Paola Mannucci, and Nicoletta Tchou, among others. His international collaborations reflect the global relevance of his work in partial differential equations and game theory. As an educator, Professor Marchi teaches core mathematics courses for engineering and mathematics students, maintaining regular office hours and providing detailed course materials through the university's Elearning platform. His teaching schedule includes specific exam periods scheduled through 2026, demonstrating his ongoing commitment to academic instruction.

• Analysis in Carnot groups
• Geometric inequalities
• Calculus of Variations
• +۳ مورد دیگر

Davide Vittone serves as Associate Professor in the Department of Mathematics "T. Levi-Civita" at the University of Padua, Italy. His institutional affiliation is well-documented across university directories with consistent contact information including office room 5AB8 and direct phone line 049 827 1338. Professor Vittone's research focuses on advanced geometric analysis within constrained mathematical spaces, specifically examining Analysis in Carnot groups, Geometric inequalities in the Calculus of Variations, Geometric Measure Theory, Minimal surfaces, and Subriemannian geodesics. His work investigates how classical geometric concepts behave in non-holonomic environments where traditional Euclidean methods don't apply, requiring innovative analytical approaches to address the unique challenges of these constrained geometries. The analysis of his 15 most recent publications reveals a consistent trajectory in sub-Riemannian geometric analysis, with increasing focus on the interplay between measure-theoretic properties and variational principles in Carnot groups. His work demonstrates sophisticated mathematical techniques applied to fundamental questions about minimal surfaces, isoperimetric inequalities, and regularity theory within these specialized geometric frameworks. While no specific awards are documented in the available materials, Professor Vittone maintains an active research program as evidenced by his consistent publication record in geometric analysis. His work contributes to advancing mathematical understanding in sub-Riemannian geometry, a field with growing importance in both pure mathematics and applied contexts. For prospective students, Professor Vittone offers supervision opportunities in geometric analysis, particularly for those with strong backgrounds in differential geometry and real analysis. His research direction suggests potential projects examining minimal surface theory in Carnot groups, geometric measure theory applications, or calculus of variations problems in constrained environments. Collaborators would find opportunities in extending geometric analysis techniques to new sub-Riemannian settings or exploring applications in control theory and mathematical physics.

• Calculus on metric measure spaces
• Carnot-Caratheodory spaces
• Geometric analysis
• +۳ مورد دیگر

Andrea Orazio Caruso is an Assistant Professor of Mathematical Analysis at the Department of Mathematics and Informatics within the College of Engineering at the University of Catania. He has held this position since January 2, 2004, following his appointment as a Research Assistant in 2003. His research primarily focuses on calculus in metric measure spaces, particularly Carnot-Caratheodory (sub-Riemannian) spaces and Carnot Lie groups, with special emphasis on geometric aspects. His work investigates the relationships between calculus, measure properties, and regularity properties of real functions. Caruso has presented his research at numerous conferences and workshops, including meetings on partial differential equations and metric space analysis. As an educator, Caruso has taught Calculus 1 and Calculus 2 courses continuously since the 2002/03 academic year, demonstrating remarkable teaching consistency. He has also developed preparatory courses for engineering and medical programs, as well as advanced mathematics courses for high school students preparing for university studies. Caruso serves as President of the Catania Section of the 'Accademia Italiana per la Promozione della Matematica,' a ministry-accredited organization that promotes mathematical excellence through competitions involving hundreds of thousands of students annually. His technical expertise includes proficiency with Windows, Mac, and Linux operating systems, as well as office applications, HTML, and TeX/LaTeX. He is fluent in English (spoken and written) and has reading knowledge of French, enabling him to participate in international mathematical discourse. His academic journey began with a cum laude Mathematics degree from the University of Catania in 1998, followed by a PhD in Mathematics in 2003.

Valentina Franceschiمشاهده پروفایل

دانشیار

• Mathematical Neuroscience
• Sub-Riemannian Geometry
• Cortical-Inspired Models
• +۳ مورد دیگر

Valentina Franceschi is an Associate Professor at the Department of Mathematics of the University of Padua. Her academic journey includes a post-doctoral research career in France (Inria Paris, Université Paris-Sud, Sorbonne Université) and international collaborations through projects like RUBIN-VASE funded by ANR. She specializes in cortical-inspired models for vision and sub-Riemannian geometry. Current affiliation: Department of Mathematics, University of Padua Education: MSc in Mathematics (University of Bologna, 2012), PhD in Mathematics (University of Padova, 2016) Research focus: Mathematical modeling of visual perception, geometric analysis, and image processing applications Selected projects: RUBIN-VASE (ANR-funded), MesuR (Marie Curie Fellowship) Professional memberships: Member of UMI group 'Matematica delle immagini, della visione e delle loro applicazioni'

• Complex Geometry
• Differential Geometry
• Sub-Riemannian Geometry
• +۲ مورد دیگر

Sebastiano Nicolussi Golo serves as a Research Fellow at the University of Birmingham, specializing in geometric mathematics. His work centers on complex geometry and differential geometry with significant focus on sub-Riemannian structures and metric Lie groups. He actively contributes to academic discourse through seminar organization, including the 'Metric Lie groups' seminar (October 31, 2019) and co-organizing the international conference 'Sub-riemannian geometry and beyond, III' (June 19-23, 2023). His research profile is maintained on his institutional homepage at https://sites.google.com/site/thepageofsebastiano/.

• Differential Geometry
• Riemannian Geometry
• Partial Differential Equations
• +۳ مورد دیگر

Giovanni Catino is a Professor of Mathematics at Politecnico di Milano, specializing in Differential Geometry and Partial Differential Equations. His research focuses on geometric analysis, Ricci solitons, Einstein manifolds, and curvature functionals. He has authored multiple influential papers and books, including the award-winning monograph 'A Perspective on Canonical Riemannian Metrics' (2020). Catino is actively involved in academic activities, organizing conferences like the 'Differential Geometry, Analysis and Epistemology in Milan' (2025) and 'Perspectives in Geometric Analysis' (2025). His work bridges geometric structures with analytical techniques, addressing rigidity phenomena, curvature inequalities, and geometric flows. Key contributions include studies on critical metrics for quadratic curvature functionals, Liouville theorems in sub-Riemannian geometries, and rigidity of Einstein manifolds. He has co-authored over 50 peer-reviewed publications and edited volumes on calculus and geometric analysis. Catino's research also extends to pedagogical contributions, such as textbooks on calculus and problem-solving for undergraduate students. His awards include the prestigious 2020 Ferran Sunyer i Balaguer Prize recognizing his monograph's impact on the field. Catino collaborates internationally, with publications in top journals like Journal of Differential Geometry and Advances in Mathematics , and frequently participates in seminars and workshops on geometric analysis.