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| Winter Term 2024/25, Doctoral School Events | |
| 2024-12-20 | Doctoral School Seminar (10:30–12:30, TU Graz, Seminarraum 2 Geometrie, Kopernikusgasse 24/IV, 8010 Graz) |
| Sergio Fernandez de soto (TU. Advisor: C. Ceballos): New combinatorial possibilities to describe quotients of positroids [show abstract] | |
| Alexander Zahrer (Uni. Advisor: M. Kalck): On homotopy-coherent Mathematics [show abstract] | |
| Dominik Schmid (TU. Advisor: M. Kang): Building spanning graphs in the semirandom tree process [show abstract] | |
| 2025-01-24 | Doctoral Day (9–5, Univ. Graz, Resowi, HS 15.04) |
| (9:00 Welcome) | |
| Florian Russold (TU. Advisor: M Kerber): Graphcode: Learning from multiparameter persistent homology using graph neural networks [show abstract] | |
| Francesco Mantegazza (Uni. Advisor: G. Haase): A PBDW Framework for Cardiac Mechanics [show abstract] | |
| Mohammadreza Kariman (MedUni. Advisor: Augustin/Plank): Computational Modelling of the Impact of Anatomical Changes on ECGs in Left Ventricular Hypertrophy [show abstract] | |
| (10:15—10:45 coffee break) | |
| Jan Jendrysiak (TU. Advisor: M Kerber): Decomposing Multiparameter Persistence Modules [show abstract] | |
| Erion Morina (Uni. Advisor: M. Holler): On uniqueness in structured model learning [show abstract] | |
| Eduard Stefanescu (TU. Advisor: C. Aistleitner): The dispersion of dilated lacunary sequences, with applications in multiplicative Diophantine approximation | |
|
Abstract: Let (an) be a lacunary sequence satisfying the Hadamard gap condition. We give upper bounds for the maximal gap of the set of dilates {an α}n<N modulo 1, in terms of N. We prove the existence of a dilation factor α such that the maximal gap is of order at most log N / N, and we prove that for Lebesgue almost all α the maximal gap is of order at most (log N)2+ε/N. The metric result is generalized to other measures satisfying a certain Fourier decay assumption. Both upper bounds are optimal up to a factor of logarithmic order. Our results improve various previous upper bounds. [hide abstract] | |
| (12:00—13:30 lunch break) | |
| Balint Rago (Uni. Advisor: A. Geroldinger): On the arithmetic of orders in Dedekind domains [show abstract] | |
| Thomas Schrotter (Uni. Advisor: G. Haase): A Real-Time Eikonal-Based Cardiac Electrophysiology Solver [show abstract] | |
| Lea Enzi (TU. Advisor: S Thonhauser): A stochastic differential game approach to optimal reinsurance [show abstract] | |
| (14:45—15:15 coffee break) | |
| Joachim Orthaber (TU. Advisor: O. Aichholzer): A universal planar graph for trees [show abstract] | |
| Manuel Hasenbichler (TU. Advisor: S Thonhauser): A classification approach to multivariate counting processes modelling [show abstract] | |
| Tamari Kldiashvili (Uni. Advisor: L. Trussardi): Bifurcation analysis of a cross-diffusion system for gang territoriality [show abstract] |