08S+08W+09S | 09W | 10S | 10W | 11S | 11W | 12S | 12W | 13S | 13W | 14S | 14W | 15S | 15W | 16S | 16W | 17S | 17W | 18S

Summer Term 2018, Doctoral School Events
2018-03-23 Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 10:30—13:00, TU)
Franz Pichler, (KFU, advisor G. Haase): Implicite-Multiscale-Finit-Element implementation of distributed multi-scale simulations [show abstract]
Damir Ferizovic (TU, advisor P. Grabner): Bounds of the Green Energy on SO(3) [show abstract]
Amr Ali Al-Maktry (TU, advisor S. Frisch): Polynomial Functions of the Ring of Dual Numbers modulo m [show abstract]
Stefan Planitzer (TU, advisor C. Elsholtz): Sums of unit fractions [show abstract]
2018-05-25 Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 10:30—13:00, TU)
Daniel Ganellari (KFU, advisor G. Haase): Patient-specific cardiac parametrization from Eikonal simulations [show abstract]
Julia Hauser, (TU, advisor O. Steinbach): On space-time formulations for Maxwell's equtions [show abstract]
Mahadi Ddamulira (TU, advisor R. Tichy): On a problem of Pillai with k-generalized Fibonacci numbers and powers of 2 [show abstract]
Rene Corbet (TU, advisor M. Kerber): An algebraic classification of multi-filtrations in persistent homology [show abstract]
2018-06-08 Doctoral School Seminar (Inst. Mathematik, Heinrichstr. 36, SR 11.33, 14:00—16:30, KFU)
Leonardo Alese (TU, advisor J. Wallner): Curved folding along closed curves [show abstract]
Stefan Kremsner (KFU, advisor G. Leobacher): Backward Stochastic Differential Equations [show abstract]
Svenja Hüning (TU, advisor J. Wallner): Algebraic conditions describing polynomial reproduction of Hermite subdivision [show abstract]
2018-06-22 Doctoral School Seminar (Inst. Mathematik, Heinrichstr. 36, SR 11.33, 14:00—16:30, KFU)
Nicola del Giudice (TU, advisor M. Kang): Vanishing of cohomology groups of random simplicial complexes

Abstract: Inspired by the existence of a threshold for the connectedness of the binomial random graph, we study an higher-dimensional analogue. We consider, for each integer k≥2, a model of random simplicial k-complex generated by the random (k+1)-uniform hypergraph, and F2-cohomological j-connectedness for each 1≤j≤k-1, that is the vanishing of the cohomology groups with coefficients in the field F2, of dimension up to j. This property is not monotone for our model, but nevertheless we determine a sharp threshold that corresponds to the disappearance of the last minimal obstruction.

Sarah Nakato (TU, advisor S. Frisch): Absolutely irreducible elements in the ring of integer-valued polynomials

Abstract: Let R be a commutative ring with identity and r in R a non-zero non-unit. We say that r is irreducible in R if it cannot be written as the product of two non-units of R. If r is irreducible in R and every power of r factors uniquely, we say that r is absolutely irreducible. In this talk, we discuss the absolutely irreducible elements of Int(Z), the ring of integer-valued polynomials.

Junseok Oh (TU, advisor A. Geroldinger): On product-one sequences over finite groups.

Abstract: Let G be a finite group. By a sequence over G, we mean a finite unordered sequence of terms from G, where repetition is allowed, and we say that it is a product-one sequence if its terms can be ordered such that their product equals the identity element of G. We denote by B(G) the set of all product-one sequences over G. B(G) is interesting object in variety of mathematical areas, for instance Combinatorics, Invariant Theory, and Factorization Theory, and it is well-studied if G is abelian. In this talk we focus on non-abelian groups, and we study recent algebraic and arithmetic results concerning B(G).

Sanela Omerovic (TU, advisor H. Friedl): Fitting Mixtures of Generalized Nonlinear Models with Applications to Gas Consumption Data

Abstract: Mixtures of Generalized Nonlinear Models (GNMs) suit as an appropriate model to provide predictions of gas consumption for cold temperatures as they simultaneously face the problem of occurring heterogeneity arising from effects like sector-specific features (e.g. industrial or private consumer groups) or weekday-specific dependencies. The objective of this presentation is to outline the statistical methods and the programming development to enable the fitting of these models as well as to present suitable applications.