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!

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.
Y. Kambe, P. Lella. The Gröbner fan of the Hilbert scheme, Annali di Matematica Pura ed Applicata, 200:547–594, 2021.
P. Dulio, E. Laeng. Generalization of Heron's and Brahmagupta's equalities to any cyclic polygon, Aequat. Math., 95:941–952, 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.
P. Gumenyuk and I. Hotta. Univalent functions with quasiconformal extensions: Becker’s class and estimates of the third coefficient, Proc. Amer. Math. Soc., 148(9):3927-3942, 2020.

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Seminars

February 16, 2022 5 p.m. CET Zoom online
Alain Yger TBA
January 25, 2022 2:30 p.m. CET Aula Saleri & WebEx online
Viola Siconolfi Ricci curvature, graphs and Coxeter groups

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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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See the pages dedicated to courses (bachelor - master - phd) and thesis proposals.

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