Paola Cristofori is an Associate Professor in the Department of Physical, Computer and Mathematical Sciences at the University of Modena and Reggio Emilia. Her research focuses on Algebraic Topology, Differential Geometry, and Manifold Theory, with contributions to PL topology, 4-manifolds, and combinatorial structures like crystallization theory. She teaches courses in Geometry, Linear Algebra, and Algebraic Topology for undergraduate and graduate programs in Mathematics, Civil Engineering, and Strategic Sciences. Her work emphasizes topological invariants, combinatorial methods in manifold classification, and applications of colored graphs. Key areas include trisections of 4-manifolds, Kirby diagrams, and G-degree theory. She collaborates extensively on projects involving geometric topology and computational topology tools. Dr. Cristofori’s teaching spans foundational topics in linear algebra, Euclidean geometry, and advanced algebraic topology, emphasizing rigorous proofs and practical applications. Her research is published in top journals and includes over 40 articles, reflecting her deep engagement with low-dimensional topology and geometric structures.
Nicola Galesi serves as an Associate Professor in the Department of Computer, Control and Management Engineering (DIAG) at Sapienza University of Rome since 2022, following 17 years in Sapienza's Department of Computer Science (2005-2022). His academic journey began with an Associate Professorship at Universitat Politecnica de Catalunya (2001-2005) after postdoctoral positions at the Institute for Advanced Studies in Princeton (2000-2001) and University of Toronto (2002-2003) under Stephen Cook and Toni Pitassi. His educational background features a PhD from Universitat Politecnica de Catalunya supervised by Maria Luisa Bonet, complemented by dual Italian habilitations as full professor in Mathematical Logic (2012) and Computer Science. These qualifications underpin his rigorous theoretical approach across research domains. Galesi's research program centers on Computational Complexity and Logic in Computer Science , with specialized expertise in Proof Complexity (investigating resolution refinements and algebraic proof systems), SAT-Solving , Optimization , and applied domains like Group Testing and Network Tomography . His seminal work on space complexity in algebraic proof systems (JACM 2015) established foundational frameworks, while recent network tomography research develops mathematical models for node failure identification in communication networks using Boolean algebra and graph connectivity principles. Analysis of his 15 most recent publications (2022-2025) reveals a cohesive research trajectory bridging theoretical proof complexity and practical network analysis. Key trends include depth lower bounds in stabbing planes for combinatorial principles, vertex-connectivity metrics for failure localization, and algebraic investigations of vanishing sums in polynomial calculus. His work consistently applies combinatorial principles to derive tight bounds across graph structures while advancing the theoretical understanding of proof systems through tensor isomorphism and roots of unity analyses. His scientific recognition includes: ACM Computing Review Most Notable paper in Theory of Computing for 2012 Galesi mentors the next generation through PhD supervision of Massimo Lauria (2009), Ilario Bonacina (2015), and Fariba Ranjbar (2021), while hosting postdocs including Alan Skelley, Olaf Beyersdorff, and Massimo Lauria. His research is amplified through prestigious visiting positions at the Simons Institute for Theory of Computing (2015, 2021) and Tokyo Institute for Technology (2015), building on his foundational work at IAS Princeton and Toronto. He actively shapes the theoretical CS landscape as organizer of the Sapienza LOC3 (Logic, Complexity, Combinatorics, Computability) seminar series and founder of the RaTLoCC workshops (Ramsey Theory in Logic, Complexity and Combinatorics). His editorial role for Logical Methods in Computer Science (LMCS) and program committee service for CIAC, IJCAI, and FSTTCS conferences demonstrate sustained community leadership beyond his core research and teaching responsibilities in Calculus, Mathematical Logic, and Computational Complexity.
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.
Giovanni Catino is a Full Professor at the Dipartimento di Matematica of Politecnico di Milano. His research focuses on Differential and Riemannian Geometry, Partial Differential Equations, and Geometric Analysis. He has authored numerous papers on topics such as Einstein manifolds, Ricci solitons, geometric flows, and curvature rigidity. Catino has also co-authored several textbooks, including volumes on calculus and geometric analysis. His work frequently intersects with geometric variational problems, nonlinear PDEs, and the study of canonical metrics in Riemannian geometry. Recent research trends include investigations into Liouville-type theorems in sub-Riemannian settings, rigidity phenomena in geometric structures, and closure results in globally hyperbolic spacetimes. He actively participates in academic conferences and has organized events such as the 'Perspectives in Geometric Analysis' seminar series. Catino’s contributions span both pure mathematics and applications, with a strong emphasis on geometric PDEs and their implications in differential geometry.
Benoit Merlet is a Professor at Université de Lille, specializing in advanced mathematical analysis with a focus on Calculus of Variations, Geometric Measure Theory, and Partial Differential Equations. His research explores non-convex functionals, optimal transport problems, and pattern formation in materials science. He collaborates extensively with researchers such as M. Goldman, M. Pegon, and A. Chambolle on topics ranging from Aviles-Giga functionals to liquid drop models. Merlet's work bridges theoretical mathematics with applications in physics and engineering, particularly in energy minimization problems and phase transitions. He organizes international conferences, including the Calculus of Variations in Lille series, and contributes to seminar programs on geometric measure theory and variational methods. His publications span high-impact journals like Arch. Rat. Mech. Anal. , Journal de l’École polytechnique , and SIAM J. Math. Analysis , reflecting his expertise in rigorous mathematical analysis and interdisciplinary problem-solving.
Michael Goldman is a junior CNRS researcher at the Centre de Mathématiques Appliquées (CMAP) of École Polytechnique. His research focuses on Partial Differential Equations (PDEs), Geometric Measure Theory, Optimal Transportation, and Calculus of Variations. He explores applications in material sciences, homogenization, and mathematical physics. Notable contributions include studies on Gamma convergence in superconductors, optimal transport dynamics, and branched transport models. His work bridges theoretical analysis with applied problems, addressing topics like liquid drop models, particle systems, and phase transitions. Goldman actively participates in academic networks, organizing conferences and contributing to seminars such as the Parisian Calculus of Variations group. His research also touches on image processing and geometric flows, reflecting interdisciplinary interests in mathematical modeling and analysis.
Elvira Barbera is a Professor of Mathematical Physics at the Department of Mathematical and Computer Sciences, Physical Sciences, and Earth Sciences at the University of Messina. She earned her Mathematics degree cum laude from the University of Messina in 1993, completed her PhD in Mathematics in 2000 after research at Technische Universität Berlin, and has held progressively senior academic positions at the University of Messina since 2002. Her research focuses primarily on Extended Thermodynamics with applications to diverse physical and biological systems. Her work spans mathematical modeling of nanofluids, blood flow, granular gases, disease transmission, and wave propagation phenomena. She has developed thermodynamic models that maintain hyperbolicity while capturing complex non-equilibrium behavior, providing advantages over traditional parabolic models. Her publication record shows consistent contributions to high-impact journals in applied mathematics and physics. Her research demonstrates strong interdisciplinary connections between fundamental mathematical physics and practical applications in biology and engineering. Her work often bridges theoretical developments with practical implementations, particularly in fluid dynamics and biological systems. Scholarship from National Institute of Higher Mathematics 'F. Severi' (1992/93) Research contract with Technische Universität Berlin (1999-2001) Doctoral research at University of Messina (1995-2000) Professor Barbera actively mentors students and participates in educational outreach programs, including multiple PCTO (Percorsi per le Competenze Trasversali e l'Orientamento) projects with local high schools. She teaches advanced mathematics courses including Calculus, Fluid Dynamics Models, and Thermodynamic Theories, demonstrating commitment to both research and education.
Andrea Mentrelli is an Associate Professor of Mathematical Physics at the Department of Mathematics, University of Bologna, and Scientific Coordinator of the Alma Mater Research Center on Applied Mathematics (AM²). He holds a MS in Nuclear Engineering and a PhD in Mechanics of Materials from the University of Bologna. His research focuses on Extended Thermodynamics, High-Performance Computing (HPC), and computational modeling of plasma and fluid dynamics. Key roles include leadership in projects such as PRIN2022 (Mathematics of Nonlinear Wave Propagation) and Combustion-Wave Interactions. He is affiliated with INFN Bologna Section and AM². Notable contributions include shock wave analysis, hyperbolic models for incompressible fluids, and fractional calculus applications in viscoelasticity. His work combines theoretical rigor with numerical methods, addressing challenges in plasma physics, astrophysics, and materials science. **Education:** MS in Nuclear Engineering, PhD in Mechanics of Materials (University of Bologna). **Affiliations:** AM², INFN Section Bologna. **Research Projects:** Over 10+ grants including PRIN2022 and EU-funded initiatives. Extensive publications in journals like *Phys. Rev. D*, *Annals of Physics*, and *Journal of Computational Physics*.
Bruno Carpentieri is an Associate Professor in Applied Mathematics at the Faculty of Computer Science , Free University of Bozen-Bolzano , Italy. His work focuses on Numerical Linear Algebra , High-Performance Computing , and Preconditioning Techniques for large-scale scientific problems. Education : Laurea in Applied Mathematics (1997, University of Bari Aldo Moro); PhD in Computer Science (National Polytechnic Institute Toulouse). Research Interests : Sparse linear systems, Krylov subspace methods, computational electromagnetics, PageRank problems, and fractional calculus applications in nonlinear engineering. His publications (1998–2025) emphasize efficient solvers for multi-shifted systems, parallel computing, and preconditioning strategies. Recent works (2025) explore fractional-order methods and multilayer network centrality . He has collaborated on ITER tokamak simulations (F4E/MIUR grants) and biomedical finite element models . Grants : F4E-2008-OPE-06-06-11 (ITER analysis); MIUR PRIN 2010SPS9B3. Key Contributions : VBARMS preconditioner (2014), hybrid block GMRES variants (2018), and chaos-enhanced fractional solvers (2025).
Adriana Garroni is a Full Professor at the Department of Mathematics, Sapienza University of Rome. Her research focuses on mathematical analysis of material defects, dislocation dynamics, and plasticity, employing advanced techniques from calculus of variations and geometric measure theory. She has contributed extensively to understanding energy-driven pattern formation in materials science and the derivation of continuum models from discrete systems. Her academic career includes over 45 peer-reviewed publications in top journals like Archive for Rational Mechanics and Analysis, Calculus of Variations and Partial Differential Equations, and Journal of the European Mathematical Society. Key research themes include: Dislocation microstructures and their continuum limits Line-tension models in plasticity Gamma-convergence analysis for variational problems Energy minimization in systems with topological singularities She actively participates in international conferences and serves on organizing committees for events such as the Convegno Nazionale di Calcolo delle Variazioni. Her work bridges pure mathematics (functional analysis, geometric measure theory) with applied problems in materials science and mechanics. Recent work emphasizes: Stacking faults in edge dislocation models (2024) Homogenization of line tension energies (2023) Rigidity estimates for incompatible elastic fields (2021) No awards or grants are explicitly listed in the provided materials. She maintains an active research group and collaborates with institutions worldwide, evidenced by her extensive co-author network.
Giulio Giuseppe Giusteri is an Associate Professor at the Department of Mathematics "Tullio Levi-Civita" at the University of Padua, Italy, where he conducts research at the intersection of mathematics, physics, and engineering. He serves as National Coordinator for the PRIN 2022 project "Mathematical models for viscoelastic biological matter" and leads a research group comprising postdoctoral scholars and PhD students. His research spans multiple areas of mathematical physics and continuum mechanics. His primary interests include: Non-Newtonian Fluids and Rheology of Dense Suspensions Open Quantum Systems and Quantum Transport Phenomena Mechanics of Deformable Solids and Rod Theory Mathematical Fluid Mechanics and Viscoelasticity Variational Analysis and Nonlinear Systems His recent publications (2022-2025) demonstrate a strong focus on developing mathematical frameworks for complex physical systems, with particular attention to viscoelastic materials, symmetry-preserving homogenization techniques, and multi-scale modeling approaches. His work often bridges theoretical development with practical applications in biological systems, energy transfer, and industrial processes. Professor Giusteri actively supervises PhD students and postdoctoral researchers, with current projects related to the PRIN 2022 initiative. He regularly presents his research at international conferences and workshops, maintaining active collaborations across multiple Italian institutions including Università Cattolica del Sacro Cuore and Politecnico di Milano. His research group offers opportunities for PhD and Master's thesis projects in his various research fields, with an emphasis on mathematical modeling of physical phenomena and interdisciplinary applications.
Angelamaria Cardone is an Associate Professor in the Department of Mathematics at the University of Salerno, Italy. Her office is located at Fisciano Campus, Building F2, First Floor, Room 022. She specializes in numerical analysis with a focus on fractional differential equations, Volterra integral equations, and computational mathematics. Her main research interests include: Numerical methods for fractional differential equations Collocation methods for integral equations Stability analysis of numerical methods Spectral methods for time-fractional problems Computational approaches to reaction-diffusion systems Dr. Cardone's research focuses on developing efficient numerical methods for solving differential and integral equations, particularly those involving fractional derivatives. Her work often combines finite difference schemes with spectral methods to achieve high accuracy and computational efficiency. She has made significant contributions to the understanding of conservation laws in time-fractional diffusion equations and has developed MATLAB implementations of numerical methods for fractional differential equations. Her scholarly work demonstrates a consistent focus on: Developing methods with improved stability properties Creating efficient algorithms that reduce computational cost Preserving important mathematical properties in discrete formulations Applying numerical methods to real-world problems in physics and engineering Dr. Cardone serves as a reviewer for multiple journals in her field and has collaborated with researchers internationally.
Marco Veneroni is Associate Professor at the Department of Mathematics , University of Pavia . His research spans multiple fields including Partial Differential Equations , Calculus of Variations , and Optimal Transportation , with applications to materials science, biology, and engineering. Specializes in gradient flows and Wasserstein metrics for imaging and chemical processes Contributes to stochastic homogenization and elasto-plasticity models Research includes nematic liquid crystals , diblock copolymers , and cardiac electric field modeling Veneroni teaches courses like Mathematical Analysis and Advanced Mathematical Methods . He has supervised numerous students through tutoring programs and pre-course initiatives . His work involves collaborations across McGill University , TU Dortmund , and Università degli Studi di Pavia .
Dr. Elena Bachini is a Fixed-term Junior Assistant Professor at the University of Padua's Department of Mathematics. She holds a Ph.D. in Computational Mathematics from Padua (2020), complemented by international research at TU Dresden, University of Texas at Austin, and KAUST. Her work focuses on developing geometric-intrinsic numerical methods for environmental and physical systems. Research interests span: Computational fluid dynamics with emphasis on surface PDEs Discontinuous Galerkin and finite volume methods for hyperbolic systems Virtual element techniques for tensor-valued equations Model coupling strategies for surface-subsurface hydrology Two-phase flows in porous media with anisotropic effects Her publications demonstrate consistent focus on: surface-adapted discretization techniques, shallow water modeling, and multiphase flow simulations. Recent works (2023-2024) advance tensor diffusion theory and fluid-structure interaction models. Article keywords frequently include surface PDEs, Lagrangian-Eulerian schemes, and computational geosciences. Supervision activities include: Primary advisor for 4 Master's candidates in Mathematical/Civil Engineering Co-supervision of postdoctoral researcher F. Muraro in climate resilience modeling She participates in major EU projects including RETURN (climate risk, €multi-million), MONUGEO (geohazards), and REACT (digital twins), leveraging collaborations across 6+ countries.
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.
