Research group in

geometry

algebra

& their applications

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Group skills

Main research topics of the group are: algebra and theoretical computer science, commutative and computational algebra, complex and hypercomplex analysis, algebraic and enumerative combinatorics, algebraic geometry, geometric analysis, differential geometry, discrete mathematics, graph theory, representation theory.

Applications range in various directions including image reconstruction and recognition, discrete and geometric tomography, code theory, signal theory, neurosciences, topological data analysis.

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See the dedicated page for more details about ongoing projects and also about completed ones!

D. Festi, A. Hochenegger. Rationalizability of field extensions with a view towards Feynman integrals, Journal of Geometry and Physics, 178(104536):1-10, 2022.
P. Gumenyuk and O. Roth. On the squeezing function for finitely connected planar domains, accepted on Mathematische Annalen, 2021.
A. Boralevi, D. Faenzi, P. Lella. A construction of equivariant bundles on the space of symmetric forms, accepted on Revista Matemática Iberoamericana, 2021.
Ya.V. Bazaikin, A.S. Galaev, P. Gumenyuk. Non-diffeomorphic Reeb foliations and modified Godbillon-Vey class, accepted on Mathematische Zeitschrift, 2021.
A. Hochenegger. On Ulrich bundles on projective bundles, accepted on Beiträge zur Algebra und Geometrie, 2021.
M. D. Contreras, S. Díaz-Madrigal, P. Gumenyuk. Angular extents and trajectory slopes in the theory of holomorphic semigroups in the unit disk, J. Geom. Analysis, 31(11):10603-10633, 2021.
P. Finotelli, C. Piccardi, E. Miglio, P. Dulio. A Graphlet-Based Topological Characterization of the Resting-State Network in Healthy People, Frontiers in Neuroscience, 15(665544):1-13, 2021.
P. Dulio, E. Laeng. Generalization of Heron's and Brahmagupta's equalities to any cyclic polygon, Aequat. Math., 95:941–952, 2021.
Y. Kambe, P. Lella. The Gröbner fan of the Hilbert scheme, Annali di Matematica Pura ed Applicata, 200:547–594, 2021.
M. D. Contreras, S. Díaz-Madrigal, P. Gumenyuk. Infinitesimal generators of semigroups with prescribed boundary fixed points, Analysis and Mathematical Physics, 10(3):article 36, 2020.

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Workshops and Conferences

December 5, 2022  -  December 9, 2022 IMPAN, Warsaw, Poland
Deformation theory @ AGATES
September 7, 2022  -  September 9, 2022 Dipartimento di Matematica e Informatica, Università di Catania, Italy
Workshop on Commutative Algebra and Algebraic Geometry Kick-off Workshop of PRIN2020 project "Squarefree Gröbner degenerations, special varieties and related topics"

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See the pages dedicated to seminars and workshops&conferences with the complete list also of past activities.

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