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Winter Term 2022/23, Doctoral School Events
2022-03-25 Doctoral School Seminar (10:00–12:15, Video conference, TU)
Lasse Wulf (TU, advisor B. Klinz): Non-preemptive Tree Packing [show abstract]
Jakob Führer (TU, advisor C. Elsholtz): Filling space with hypercubes of two sizes -- The pythagorean tiling in higher dimensions [show abstract]
New Students (TU): Á. Alonso-Hernández, R. Löscher, F. Russold
Felix Dellinger (TU, advisor J. Wallner): Discrete Isothermic Surfaces [show abstract]
2022-04-29 Doctoral School Seminar (14:00–16:15, Video conference, KFU)
Wolfgang Kern (KFU, advisor M. Holler/K. Bredies): Accelerometry-based classification of circulatory states during out-of-hospital cardiac arrest

Abstract: During out-of-hospital cardiac arrest treatment, reliable spontaneous circulation detection is still challenging. Thus, we train a kernelized Support Vector Machine classifier to reliably assess circulatory state during cardiac arrest employing newly developed features based on accelerometry and electrocardiogram data from real-world defibrillator records. The algorithm exhibits excellent performance on a test set. The proposed algorithm may support  clinicians to assess circulatory state during cardiac arrest treatment and moreover, simplify retrospective annotation for quality management.

New Students (TU): L. Enzi, M. Gobrial, M. Ofner
Manuel Hauke (TU, advisor C. Aistleitner): On the metric theory of approximations by reduced fractions: Quantifying the Duffin-Schaeffer conjecture

Abstract: Let ψ: {1,2,...}→[0,1/2] be given. Koukoulopoulos and Maynard (2020) proved the Duffin--Schaeffer conjecture: for almost all reals α there are infinitely many coprime solutions (p,q) to the inequality |α - p/q| < ψ(q)/q, if and only if the series Σ φ(q) ψ(q) / q is divergent. In a recent joint work with Christoph Aistleitner and Bence Borda, we established a quantitative version of this result in the following sense: for almost all α, the number of coprime solutions (p,q), subject to q <e Q, is of asymptotic order Ψ(Q) = Σq=1,...,Q 2φ(q) ψ(q) / q. In this talk, I will sketch the main steps of the original proof of Koukoulopoulos and Maynard as well as the additional ideas we used to obtain this quantification.

2022-06-10 Doctoral School Seminar (14:00–16:15, Video conference, KFU)
Spanos Panagiotis (TU, advisor W. Woess):
Reymart Salcedo Lagunero (KFU, advisor K. Fellner):
Lorenz Frühwirth (KFU, advisor J. Prochno):
Hussain Shah (TU, advisor O. Steinbach):