جستجوی استاد راهنمای دانشگاهی

Maria Rita Casali is a Full Professor at the Department of Physical, Computer and Mathematical Sciences, University of Modena and Reggio Emilia. Her research focuses on geometry, topology, and mathematical structures, particularly in relation to PL-manifolds and colored tensor models. Teaching: Courses in Geometry, Discrete Mathematics, and Linear Algebra for Engineering and Strategic Sciences degrees. Research: Investigates combinatorial invariants (regular genus, G-degree, gem-complexity) for compact 4-manifolds, linking them to quantum gravity and tensor models. Publications: Recent works include studies on trisections of 4-manifolds, classifications via colored graphs, and combinatorial properties of the G-degree. Her contributions to crystallization theory and PL-manifold representation have advanced the understanding of geometric topology and its applications in theoretical physics.

• Geometry
• Discrete Mathematics
• Linear Algebra
• +۳ مورد دیگر

Ana Maria Alonso Rodriguez is a Full Professor of Numerical Analysis at the Department of Mathematics, University of Trento. She holds a PhD in Applied Mathematics from Universidad Complutense de Madrid (1993) and has held academic positions across Italy and Spain since 1990. Her research focuses on numerical methods for partial differential equations, computational electromagnetism, finite element methods, and domain decomposition techniques. She has organized international workshops and minisymposia, including the 2022 Oberwolfach workshop on Hilbert Complexes and the 2018 ICOSAHOM conference session on high-order methods. Her work bridges numerical analysis, topology, and applied electromagnetism, with recent contributions to Whitney finite elements and discrete potential theory. Education: PhD in Applied Mathematics, Universidad Complutense de Madrid (1988-1993) Licenciatura en Ciencias Matematicas, same institution (1982-1987) Research emphasizes high-order discretizations for electromagnetic problems, leveraging finite element exterior calculus and graph-based decomposition techniques. Recent work (2024) advances tree-cotree methods for curl operator spectra and Whitney form interpolation. She actively collaborates with international institutions like the CI2MA in Chile and the Laboratoire J. A. Dieudonné in France. Teaching includes courses on numerical PDEs, finite elements, computational electromagnetism, and MATLAB-based numerical analysis at both undergraduate and PhD levels. She has supervised numerous courses in Italy and Spain since 2000, integrating practical software tools like FreeFem and MODULEF into instruction.

• Numerical Analysis
• Computational Electromagnetism
• Finite Element Methods
• +۳ مورد دیگر

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.

• Algebraic Topology
• Differential Geometry
• Manifold Theory
• +۳ مورد دیگر

Affiliations: Domenico Fiorenza is an Associate Professor at the Department of Mathematics, University of Rome La Sapienza since October 2015. Previously, he held roles as Assistant Professor (2005–2015) and PostDoc Researcher at the Universities of Rome Tor Vergata and La Sapienza. Education: Laurea in Mathematics (University of Rome La Sapienza, 1996); PhD in Mathematics (University of Pisa, 2002). Research Interests: His work focuses on mathematical physics, algebraic geometry, and topology, with contributions to deformation theory, higher structures in quantum field theory, and categorical constructions. Notable areas include T-duality in rational homotopy theory, M-theory, and derived algebraic geometry. Publications: Over 60 peer-reviewed articles, including studies on C-infinity algebras, twistor spaces, and the geometric interpretation of M5-branes. Recent work emphasizes connections between homotopy theory and physics, such as twisted Cohomotopy and anomaly cancellation in M-theory. Labs/Teams: Collaborations with Hisham Sati and Urs Schreiber on topics like super-exceptional geometry and higher TQFTs. Visiting positions at IHÉS, MPIM, and ETH Zurich highlight his international engagement.

• Mathematical Physics
• Algebraic Geometry
• Algebraic Topology
• +۴ مورد دیگر

Marco Manetti is a Full Professor of Geometry at the Dipartimento di Matematica 'Guido Castelnuovo' of Sapienza Università di Roma. His primary academic role involves research and teaching in algebraic geometry and deformation theory. He has held editorial positions, including Editor-in-Chief of Rendiconti di Matematica e delle sue Applicazioni and editor of Annali di Matematica Pura ed Applicata . Research interests focus on algebraic surfaces, moduli spaces, deformation theory, and differential graded Lie algebras. Notable contributions include work on semiregularity maps, formality conjectures, and L∞-algebras. He has authored influential textbooks like Topologia and Lie Methods in Deformation Theory . He actively engages in outreach, organizing mathematics competitions and events like Intrecci Matematici . Awards include the Premio Bartolozzi (1999). His work bridges pure mathematics with applications in mathematical physics and topology.

• Algebraic Geometry
• Deformation Theory
• Complex Surfaces
• +۴ مورد دیگر

Matteo Penegini serves as an Associate Professor in the Department of Mathematics at the University of Genoa, where he holds a seat on the Department Board. His teaching portfolio spans multiple degree programs including Economic and Financial Sciences, Biomedical Engineering, and Mathematical Statistics, with courses such as General Mathematics, Geometry, and Linear Algebra and Analytic Geometry. His research centers on advanced Algebraic Geometry, specializing in the classification and structural analysis of algebraic surfaces and threefolds. Key investigations include triple covers of K3 surfaces, surfaces with pg=q=2 invariants, and projective varieties of general type. His work integrates cohomological methods, birational transformations, and moduli space theory to explore geometric genus constraints and Albanese map properties. Recent publications reveal a consistent focus on geometric invariants and covering spaces, with collaborative studies examining K3 surface covers (2022), surface families with specific Chern numbers (2021), threefold classification (2021), cohomology of irregular surfaces (2020), and Zariski multiplets from isogenous surfaces (2020). This trajectory demonstrates deepening engagement with Hodge theory and moduli problems in complex algebraic geometry.

• Algebraic Geometry
• Complex Geometry
• Birational Geometry
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Luca Vitagliano is a Full Professor of Geometry at the Department of Mathematics, University of Salerno. His research focuses on Differential Geometry and Mathematical Physics, with specializations in Poisson Geometry, Lie Algebroids/Groupoids, Differentiable Stacks, and Geometric Methods for PDEs. He has advised four PhD students, including Antonio Maglio (2025) and Pier Paolo La Pastina (2020). He teaches courses such as Geometry II, Homology and Cohomology, and Higher Geometry. His recent articles explore shifted contact structures, Nijenhuis integrations, and deformation cohomology. Education: Not explicitly stated in text Research Groups: Geometry Group at University of Salerno Affiliations: INdAM Intensive Period on Poisson Geometry, Poisson 2024 Conference His work bridges pure mathematics (homological methods, stack theory) with applications in mathematical physics, emphasizing geometric structures like Jacobi manifolds and coisotropic submanifolds. He actively participates in international conferences and publishes with collaborators globally.

• Differential Geometry
• Mathematical Physics
• Poisson Geometry
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Luca Chiantini is a Full Professor at the University of Siena's Department of Information Engineering and Mathematical Sciences. Born in Siena in 1957, he earned his Mathematics degree from the University of Siena in 1979 and held academic positions at the Polytechnic of Turin, University of Naples, University of Rome 'La Sapienza', and others before joining the University of Siena in 1995. His research focuses on Algebraic Geometry, Commutative Algebra, and applications in Tensor Analysis and Multilinear Algebra. Chiantini's work explores projective varieties, secant varieties, Waring decompositions, and geometric complexity theory. He has authored over 100 publications, including studies on interpolation in higher codimension, Geproci sets, and Terracini loci. Education: Degree in Mathematics from the University of Siena (1979), followed by CNR grants and a Brandeis University fellowship (1982-1983). Academic roles include Department Director (2006-2012) and Dean of the Academic Board (2011-2012). Research Interests: Algebraic Geometry (e.g., projective varieties, secant varieties), Commutative Algebra (Hilbert functions, determinantal representations), and applied areas like tensor decomposition, geometric complexity, and algebraic statistics. His work bridges classical and modern algebraic geometry, with contributions to tensor rank, identifiability, and secant defectivity. Key Projects: Studies on interpolation, secant varieties, and geometric configurations. Collaborations on tensor analysis with applications in statistics and theoretical physics. Active in academic service and education, teaching advanced geometry and mathematics pedagogy.

• Algebraic Geometry
• Commutative Algebra
• Tensor Analysis
• +۴ مورد دیگر

Anna Fino is a Full Professor at the Department of Mathematics, University of Turin. Her research focuses on differential and complex geometry, particularly geometric structures on manifolds such as nilmanifolds, solvmanifolds, G₂-structures, and Hermitian manifolds. She has contributed to studies on special metrics (balanced, SKT, Calabi-Yau), holonomy groups, cohomology theories, and geometric flows like the Laplacian flow for G₂-structures. Her work often intersects with algebraic topology and geometric analysis, addressing topics such as tamed symplectic structures, Ricci solitons, and invariant geometric properties on homogeneous spaces. Recent activities include organizing conferences on differential geometry and participating in international collaborations. Key research themes include: Geometric structures on nilpotent and solvable Lie groups Special holonomy and calibrated geometries Hermitian and almost complex manifolds Cohomological aspects of complex and symplectic manifolds Her publications frequently explore interplays between differential geometry and algebraic structures, with applications to geometric flows and classification problems.

• Differential Geometry
• Complex Geometry
• Geometric Structures on Manifolds
• +۴ مورد دیگر

Francesco Galuppi is an Assistant Professor at the University of Warsaw, within the Faculty of Mathematics, Informatics and Mechanics. His research focuses on complex algebraic geometry, tensor decompositions, and their applications to signature tensors of paths, bridging theoretical mathematics with applied sciences like data analysis and machine learning. He leads the Sonata grant 'Tensor rank and its applications to signature tensors of paths' funded by the National Science Center, Poland. His work explores geometric approaches to tensor structure, emphasizing interactions across disciplines. Key topics include secant varieties, tensor rank, and symmetry analysis of signature tensors. Galuppi has organized workshops such as 'Apolarity in Varsavia' and co-organized conferences like the SIAM minisymposium 'Tensors in Applications.' His recent activities include talks on path signatures, eigenpoint schemes, and defectivity of Segre-Veronese varieties, reflecting his commitment to advancing algebraic geometry’s practical applications. He actively engages in academic communities, delivering seminars and collaborating internationally. His research narrative includes grants, interdisciplinary collaborations, and contributions to thematic semesters like AGATES, focusing on tensors in diverse fields from quantum physics to optimization.

• Complex Algebraic Geometry
• Tensor Decompositions
• Applied Algebraic Geometry
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Stefano Scialo' is an Associate Professor in the Department of Mathematical Sciences "G.L. Lagrange" (DISMA) at the Polytechnic University of Turin. He is also a member of the Interdepartmental Center Ec-L - Energy Center Lab and serves as the contact person for the Bachelor's Degree Program in Mathematics for Engineering (L3). His academic journey began with a Master’s in Aerospace Engineering (2007), followed by a PhD in Mathematics for Engineering (2014), both from the same institution. After his PhD, he held postdoctoral and Assistant Professor positions at DISMA before being promoted to Associate Professor. Education: PhD in Mathematics for Engineering, Politecnico di Torino, 2014 Master in Aerospace Engineering, Politecnico di Torino, 2007 His research focuses on advanced numerical methods for partial differential equations, particularly in the context of complex multiscale and multiphysics systems. Key areas include the Virtual Element Method (VEM), domain decomposition techniques based on PDE-constrained optimization, and the simulation of flows in fractured porous media. He has made significant contributions to 3D-1D coupled problems, with applications in geosciences and biomedical modeling such as tumor-induced angiogenesis. His methodological work emphasizes robustness, scalability, and applicability to non-conforming and polygonal meshes, enabling high-performance computing solutions. The trend in his recent publications reveals a strong emphasis on developing and analyzing mixed virtual element methods, optimization-based coupling strategies, and their applications to engineering and biological systems. His work bridges theoretical numerical analysis with practical implementations in fluid dynamics and subsurface flow. Scientific Contributions: Principal Investigator of the FREYA project (2023–2026) on hybrid numerical approaches for fault reactivation. Coordinator of the INdAM-GNCS research project (2018–2019). Member of the research group "Numerical Analysis and Scientific Computing" at DISMA. Stefano Scialo' actively supervises doctoral students, including Matteo Trombini in the PhD program in Mathematical Sciences. He teaches a range of courses such as Advanced Scientific Programming in MATLAB, Numerical Methods and Scientific Computing, and specialized topics on Virtual Element Methods. He also contributes to curriculum development and academic governance through roles in doctoral colleges and degree program committees, including those for Mathematical, Mechanical, Aerospace, and Automotive Engineering. Laboratories and Research Groups: Member, Interdepartmental Center Ec-L - Energy Center Lab Research Group: Numerical Analysis and Scientific Computing (DISMA)

• Numerical Analysis
• Numerical Methods for Partial Differential Equations
• Virtual Element Methods
• +۱۴ مورد دیگر

Maria Chiara Brambilla is an Associate Professor in the Department of Industrial Engineering and Mathematical Sciences (DIISM) at Università Politecnica delle Marche, Faculty of Engineering. Her research specializes in algebraic geometry, with emphasis on moduli spaces, vector bundles, and secant varieties. She investigates fundamental structures in birational geometry and interpolation theory, contributing to advancements in the classification of geometric objects and their deformations. Research Focus: Her work explores: Birational properties of Mori dream spaces and blowups Defectivity and non-defectivity in Segre-Veronese varieties Terracini loci and their minimality conditions Geometric invariants of flag manifolds and hypersurfaces Algebraic boundaries in tensor rank theory Publication Trends: Recent articles (2021-2025) demonstrate deepening work on Terracini loci, twistor geometry, and movable divisors, frequently employing combinatorial and deformation-theoretic methods to resolve problems in higher-dimensional algebraic geometry.

• Algebraic Geometry
• Commutative Algebra
• Moduli Spaces
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Letterio Gatto is a Tenured Associate Professor in the Department of Mathematical Sciences (DISMA) at Politecnico di Torino, Italy. His research focuses on algebraic geometry, commutative algebra, and their connections to mathematical physics. He has held visiting positions at Brazilian institutions including Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) and Conselho Nacional de Desenvolvimento Científico e Tecnológico. Gatto has been actively involved in international collaborations, particularly between Italy and Brazil, and has received several research awards including the Collectanea Mathematica's Distinguished Paper Award. His educational background includes a Laurea in Matematica from Università di Torino (1987, 110/110 e Lode), a Dottorato di Ricerca in Matematica from Consorzio Universitario Torino-Genova (1988-1992), a Visiting Ph.D. student position at Boston University (January-June 1990), and a Postdoc at Rijkuniversiteit te Utrecht (1994-1995) with a NATO fellowship. Gatto's research spans several interconnected areas in mathematics. His primary focus is on the application of Hasse-Schmidt derivations on exterior algebras to symmetric polynomials and Schubert calculus. He investigates vertex operators in Heisenberg's vertex algebra and their connections to bosonic and fermionic representations of infinite-dimensional Lie algebras. His work also extends to Wronskians and ordinary differential equations with indeterminate coefficients, as well as families of special Weierstrass points on complex algebraic curves. These research threads converge in his development of the theory of Hasse-Schmidt Derivations on Exterior Algebras (HiDEAs). Gatto's recent publications demonstrate a consistent focus on algebraic structures related to exterior algebras and their applications. His work bridges commutative algebra, representation theory, and algebraic geometry. A notable trend is the exploration of connections between Grassmann algebras, Clifford algebras, and Lie algebra representations. His research has increasingly incorporated vertex operator techniques and their applications to Schubert calculus. The collaborative nature of his work is evident through partnerships with mathematicians across Europe and the Americas. His major awards include: Collectanea Mathematica's Distinguished Paper Award (2022) MARM AWARD (Mentoring African Research in Mathematics) by London Mathematical Society Cientista Visitante fellowship from FAPESP (multiple periods) Gatto has served on PhD committees at Università degli Studi di Torino for multiple cycles (32nd-34th). He has been a scientific responsible for the MARM Partnership project (2024-2025) between Politecnico di Torino and University of Lubumbashi. His grant activities include the MARM program (2020-2022) mentoring mathematics research at the University of Namibia. He has organized several international meetings including 'Mathematics Building Partnership with Africa' (2023) and 'A Fall Meeting in Algebraic Geometry and Related Topics' (2017). Gatto is part of the 'Algebraic, Computational and Differential Geometry' research group at DISMA and has been an active peer reviewer for numerous mathematical journals.

• Algebraic Geometry
• Commutative Algebra
• Non-commutative Algebra
• +۷ مورد دیگر

Giovanni Stagliano' is an Associate Professor of Geometry at the Department of Mathematics and Computer Science, University of Catania. He specializes in algebraic geometry with computational aspects, focusing on classification problems related to Cremona transformations and rationality questions of smooth projective varieties, including cubic fourfolds, Gushel-Mukai fourfolds, and complete intersections of three quadrics in P^7. His work also addresses tensor rank in real algebraic geometry and algorithmic implementations for resultants, discriminants, and hyperdeterminants. Research interests include complex algebraic geometry, computational algebra, and tensor analysis. He leads the PRIN 2022 project "Unirationality, Hilbert schemes, and singularities" (funded by MUR with ~€165,000). Teaches in Mathematics Master's and Computer Engineering Bachelor's programs; member of the CT-ME-PA Mathematics PhD board.

• Algebraic Geometry
• Computational Algebra
• Cremona Transformations
• +۵ مورد دیگر

Mima Stanojkovski is an Assistant Professor at the Department of Mathematics, University of Trento. Her research focuses on group theory, algebra, and their applications in coding theory and cryptography. She teaches courses such as Algebra B, Statistics for Data Science, and Teoria dei Gruppi, emphasizing foundational concepts in abstract algebra and their practical implications. Teaching Responsibilities: Algebra B (Department of Mathematics) Statistics for Data Science (Department of Sociology and Social Research) Teoria dei Gruppi (Department of Mathematics) Research Interests: Mima's work centers on geometric and combinatorial aspects of finite groups, modular group algebras, and cryptographic applications of algebraic structures. She explores topics such as independence complexes, rank-metric codes, and pro-p group constructions. Her recent publications address conjectures in coding theory and security analyses of homomorphic encryption schemes. Grants & Collaborations: No grants or collaborative projects explicitly listed in the provided text. Labs/Teams: No specific lab affiliations or research teams mentioned.

• Group Theory
• Algebra
• Coding Theory
• +۳ مورد دیگر