Find Academic Supervisors

• Complex Geometry
• Differential Geometry
• Sub-Riemannian Geometry
• +2 more

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
• +3 more

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.

• Geometric Analysis
• Sub-Riemannian Geometry
• Isoperimetric Inequalities
• +4 more

Valentina Franceschi is an Associate Professor at the Department of Mathematics Tullio Levi-Civita, University of Padova. She previously held roles including Marie Skłodowska-Curie Fellow at Sorbonne University (2019-2021), Lectrice Hadamard at Université Paris-Sud, and Inria postdoctoral fellow (2016-2019). Her research focuses on geometric analysis, sub-Riemannian geometry, and applications to neuroscience and control theory. She is affiliated with the Padova Neuroscience Center. PhD: University of Padova (2016) Key Awards: Marie Skłodowska-Curie Fellowship (MesuR Project) Research interests include isoperimetric inequalities, subelliptic operators, and cortical-inspired models for vision. She collaborates internationally on projects involving control theory and anisotropic geometry.

Davide VittoneView profile

Professor

• Geometric Measure Theory
• Sub-Riemannian Geometry
• Calculus of Variations
• +3 more

Davide Vittone is a Full Professor in the Department of Mathematics at the University of Padua. His research focuses on geometric measure theory, sub-Riemannian geometry, and calculus of variations, with particular emphasis on Carnot-Carathéodory spaces and Heisenberg groups. He has published over 45 papers, including foundational works on BV functions, sub-Riemannian geodesics, and the regularity of intrinsic graphs. Key contributions include studies on the Stepanov differentiability theorem in Heisenberg groups, rectifiability of finite-perimeter sets in Carnot groups, and the analysis of abnormal sets in optimal control. His work bridges geometric analysis with functional analysis, addressing questions in metric measure spaces and non-smooth calculus. Vittone has participated in numerous international conferences and workshops, including organizing events such as the 'Geometric Analysis in Metric Measure Spaces' and 'Sub-Riemannian days'. His research often involves collaborations with leading experts in geometric measure theory and control theory. His academic trajectory includes a PhD from Scuola Normale Superiore di Pisa (2008) and extensive postdoctoral experience. He maintains an active role in the mathematical community through seminar presentations, including discussions on rectifiability in sub-Riemannian geometry and regularity problems for geodesics.

• Geometric Analysis
• Riemannian Geometry
• Partial Differential Equations
• +1 more

Lorenzo Mazzieri is a Full Professor in the Department of Mathematics at the University of Trento. His research focuses on Geometric Analysis, Riemannian Geometry, Partial Differential Equations, and applications to Mathematical Relativity. He has organized numerous international conferences and serves as an invited speaker at workshops such as the 'Workshop on Optimal Transport and Metric Geometry' in 2025 and the 'PRIN School on Geometry and Gravity' in 2025. His research interests emphasize geometric inequalities, geometric flows, and the interplay between differential equations and curvature properties. Recent work includes studies on the Riemannian Penrose Inequality, Minkowski Inequality, and geometric aspects of p-capacitary potentials. He collaborates with leading researchers like V. Agostiniani, G. Catino, and M. Fogagnolo, contributing to high-impact journals such as Inventiones Mathematicae and Communications in Mathematical Physics . His publications highlight advancements in understanding mass in general relativity through potential theory, isoperimetric problems in curved geometries, and monotonicity formulas in static metrics. He actively participates in academic activities, including organizing seminars and conferences on geometric analysis and differential equations, fostering interdisciplinary collaboration.

• Sub-Riemannian Geometry
• Calculus of Variations
• Geometric Analysis
• +5 more

Roberto Monti is a Full Professor at the University of Padua, specializing in geometric analysis, sub-Riemannian geometry, and calculus of variations. His research focuses on topics such as isoperimetric problems, optimal control theory, and the geometry of Carnot-Carathéodory spaces. Monti has contributed extensively to understanding geodesic properties, minimal surfaces, and functional inequalities in non-Euclidean settings. Education: PhD in Mathematics (2001), with a thesis on 'Surface measures in Carnot-Carathéodory spaces.' Research interests include geometric measure theory, PDEs on manifolds, and applications of control theory to geometric problems. Recent work addresses mean value formulas on Grushin spaces and higher-order optimality conditions in singular systems. Monti has organized conferences such as the Three days in Sub-Riemannian geometry (2025) and presented at international workshops on geometric measure theory and singular geometries. His work bridges pure mathematics with applications in control systems and geometric optimization.

• Geometric Analysis
• Sub-Riemannian Geometry
• Metric Geometry
• +3 more

Raul Serapioni is a Full Professor at the Department of Mathematics, University of Trento. His research focuses on geometric analysis, sub-Riemannian geometry, and calculus of variations, with a strong emphasis on structures within Carnot groups and Heisenberg groups. He has organized and spoken at numerous international conferences, including the 'Sub-Riemannian Geometry Harmonic Analysis, PDE and Applications' and multiple editions of the 'School on Analysis and Geometry in Metric Spaces'. His work bridges geometric measure theory, metric analysis, and partial differential equations. Key research themes include intrinsic Lipschitz graphs, regular submanifolds, and perimeter structures in non-Euclidean settings. His publications consistently explore the interplay between geometric structures and analytical techniques in sub-Riemannian frameworks, contributing foundational insights into metric spaces and their applications. No scientific awards are explicitly mentioned in the text. His academic activities include organizing international workshops and schools, reflecting his leadership in advancing geometric analysis research. No advising or grant details are provided, though his extensive publication record indicates active research collaborations.

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

Eugene Stepanov is a Full Professor at the St. Petersburg Branch of the Steklov Research Institute of Mathematics of the Russian Academy of Sciences. His research focuses on geometric measure theory, optimal transportation, and calculus of variations. He has contributed extensively to studies on metric measure spaces, isoperimetric problems, and differential equations. Key research interests include the structure of metric cycles, branched transportation networks, and the application of geometric integration techniques to nonsmooth systems. His work bridges pure mathematics with applied areas such as control theory and stochastic analysis. Stepanov has authored 56+ publications, with recent trends emphasizing multidimensional scaling, fractal geometry, and constructive controllability. His articles frequently explore the intersection of geometry and optimization, addressing problems like Steiner tree configurations and functional quantization. He has participated in conferences on optimal transport, geometric analysis, and measure theory, often contributing to seminar discussions on topics ranging from nonholonomic systems to invariant measures. His research also involves collaborations with international scholars, evident in co-authored works on eigenvalue problems, self-contracted curves, and operator theory. Despite no listed awards, his prolific publication record highlights sustained contributions to foundational mathematical theories.

Sagun ChanilloView profile

Professor

• Nonlinear Analysis
• Partial Differential Equations
• Geometric Analysis
• +2 more

Sagun Chanillo is a Professor in the Department of Mathematics at Rutgers, The State University of New Jersey . His research focuses on Nonlinear Analysis , Partial Differential Equations , and related areas in Geometric Analysis and Harmonic Analysis . Research Monographs : "Geometric Analysis of PDE and Several Complex Variables" (AMS), "Harmonic Analysis, Partial Differential Equations and Applications" (Springer), and "Optimal Weak type Inequalities for the Partial Cesaro Sum operator" Research Themes : Dr. Chanillo investigates problems in CR Geometry (e.g., embeddability of CR manifolds, Paneitz operator properties), Fluid Mechanics (e.g., Navier-Stokes with divergence-free data), and Geometric PDE (e.g., Yamabe-type problems, symmetry breaking in eigenvalue optimization). He also explores connections to Number Theory (e.g., Riemann Zeta function in scattering theory) and Mathematical Physics (e.g., Ginzburg-Landau vortices, rotating stars). Recent Publications highlight collaborations with researchers like Paul C. Yang , Jean Van Schaftingen , and Po-lam Yung . Key contributions include sharp bounds for geometric PDEs , nonlinear eigenvalue studies , and probabilistic methods in wave equations .

• Geometric Measure Theory
• Sub-Riemannian Geometry
• Calculus of Variations
• +3 more

Francesco Serra Cassano is a Full Professor in the Department of Mathematics at the University of Trento. His research focuses on geometric measure theory, sub-Riemannian geometry, and calculus of variations, with significant contributions to minimal surfaces, PDEs in metric spaces, and functional analysis. He has organized numerous conferences, including the XXXV Convegno Nazionale di Calcolo delle Variazioni (2026) and the 13th School on Analysis and Geometry in Metric Spaces (2024). He has also been an invited speaker at events like the PaPa - Padua Paris sub-Riemannian seminar (2021). Key research interests include intrinsic regularity in Heisenberg groups, Γ-convergence, and geometric analysis in Carnot groups. His work bridges theoretical advancements with applications in geometric measure theory and nonlinear PDEs. Over 30 publications span topics such as area formulas in sub-Riemannian spaces, BV minimizers, and approximation theorems for Lipschitz functions. His academic engagements include organizing international workshops and schools, reflecting his leadership in the geometric analysis community. No scientific awards are explicitly listed in the provided text.

Giorgio StefaniView profile

Assistant Professor

• Analysis of Partial Differential Equations (PDEs)
• Functional Analysis
• Metric Geometry
• +4 more

Giorgio Stefani is a Fixed-Term Researcher (Ricercatore a Tempo Determinato di tipo A - RTDA) at the Department of Mathematics, University of Padova (Italy). He holds a Ph.D. in Mathematics from Scuola Normale Superiore of Pisa (2020) and has held postdoctoral positions at the University of Basel (2020-2022) and SISSA Trieste (2022-2024). Ph.D.: Mathematics, Scuola Normale Superiore di Pisa (2020) PostDoc: University of Basel (2020-2022) PostDoc: SISSA Trieste (2022-2024) Current: Fixed-Term Junior Assistant Professor, University of Padova (2024-) His research focuses on Analysis of PDEs , Functional Analysis , and Metric Geometry , with particular emphasis on: Fractional calculus and non-local functionals Geometric measure theory and perimeter minimization Sharp inequalities in Sobolev spaces Applications to Euler and Vlasov-Poisson systems Topological singularities in variational problems His recent publications demonstrate a strong trend toward Gamma-convergence of fractional energies , Hardy inequalities , and non-local perimeters . He actively participates in geometric analysis seminars and workshops, including the 2022 Rome workshop on anisotropic isoperimetric problems. Contact: giorgio.stefani@unipd.it | giorgio.stefani.math@gmail.com

• Differential Geometry
• Geometric Analysis
• Optimal Transport
• +4 more

Andrea Mondino is a Full Professor at the University of Oxford, affiliated with the Department of Mathematics. His research focuses on geometric analysis, synthetic Ricci curvature, optimal transport, and metric measure spaces. He has authored/co-authored over 85 papers, exploring topics such as curvature constraints, isoperimetric inequalities, and geometric flows in both Riemannian and Lorentzian settings. His work bridges differential geometry with non-smooth analysis, addressing questions in global analysis, spectral geometry, and geometric measure theory. Recent studies include synthetic timelike Ricci curvature bounds in Lorentzian spaces, rectifiability of CD(K,N) spaces, and applications of optimal transport to relativity. Mondino has organized workshops like Valentia Geometrica 2026 and contributed to conferences on geometric analysis and optimal transport. His research often involves collaborations with leading mathematicians in geometric analysis and calculus of variations.

• Mathematical Analysis
• Geometric Measure Theory
• Analysis on Metric Spaces
• +3 more

Gareth Speight is an Associate Professor in the Department of Mathematical Sciences at the University of Cincinnati. His research focuses on mathematical analysis with geometric applications, particularly real analysis, geometric measure theory, analysis on metric spaces, and sub-Riemannian geometry. He has been supported by a National Science Foundation grant (#2348715) from 2024-2027, investigating differentiability in Carnot groups and metric measure spaces. He co-organizes the Ohio River Analysis Meeting and leads the UC Analysis Seminar. Speight's educational background includes a PhD from the University of Warwick (2013), supervised by David Preiss, and a postdoctoral fellowship at the Scuola Normale Superiore di Pisa under Luigi Ambrosio. His work explores porosity, differentiability, and functional analytic structures in non-Euclidean settings. He has advised PhD students Marco Capolli (2020) and Hyogo Shibahara (2024). His research highlights include studies on universal differentiability sets, Lusin approximation, and Whitney extension theorems in Carnot groups. He has organized major conferences like the 11th Ohio River Analysis Meeting (2022) and contributed to journals like Inventiones Mathematicae and Advances in Mathematics .

• Functional Analysis
• Partial Differential Equations
• Geometric Analysis
• +4 more

Michele Miranda Jr is an Assistant Professor at the Department of Mathematics of the University of Ferrara. His research focuses on functional analysis, geometric measure theory, and partial differential equations, with particular emphasis on BV functions, Sobolev spaces, and heat semigroups in various settings including metric measure spaces and Wiener spaces. His work explores topics such as boundary measures, perimeter minimization, and properties of functions in infinite-dimensional spaces. Key contributions include characterizations of BV functions in abstract Wiener spaces and analysis of heat semigroups in Carnot groups. He has collaborated extensively with researchers like L. Ambrosio, V. Caselles, and D. Pallara. Miranda Jr has spoken at conferences such as Isoperimetric Problems Between Analysis and Geometry (June 2014). His research trends reflect a blend of analytical techniques with geometric and probabilistic perspectives, addressing fundamental questions in calculus of variations and measure theory. No scientific awards or grants are explicitly mentioned in the provided text.

• Geometric Measure Theory
• Partial Differential Equations (PDEs)
• Calculus of Variations
• +4 more

Guido De Philippis is a Full Professor at the Courant Institute of Mathematical Sciences, New York University. His research focuses on geometric measure theory, partial differential equations, and calculus of variations. He has contributed to advancing understanding in minimal surfaces, optimal transport, and free boundary problems. His work often bridges geometric analysis with nonlinear PDE theory, addressing questions of regularity, existence, and stability. Affiliations: Courant Institute of Mathematical Sciences (NYU). Education: PhD in Mathematics (2013, Sobolev regularity for Monge-Ampère equations). De Philippis’s research interests include geometric flows, spectral optimization, and the structure of measures constrained by PDEs. His papers explore topics like anisotropic minimal surfaces, regularity of free boundaries, and quantitative isoperimetric inequalities. Notable contributions include foundational work on the Monge-Ampère equation and optimal transport theory. He has been recognized with the Chaire De La Vallée Poussin Prize Lectures (2020/21) and has organized conferences in geometric analysis and PDEs. His collaborations span across institutions, reflecting his international impact in mathematics.