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Mechthild Thalhammer (University of Innsbruck)26/02/2026, 13:30Invited Talk
Exponential operator splitting methods constitute a favourable class
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of time integration methods for various kinds of linear and nonlinear evolution
equations. They rely on the presumption that the defining right-hand side comprises
two (or more) operators and that the numerical approximation of the associated
subproblems is significantly simpler compared to the numerical approximation of... -
Beata Ondrusova (Johannes Kepler University)26/02/2026, 14:15
Veno-venous extracorporeal membrane oxygenation (VV-ECMO) is a life-support therapy used for patients with severe respiratory failure, including those affected by COVID-19. In this therapy, gas exchange is partially or fully supported by an extracorporeal circuit, thereby substituting impaired lung function. Despite its clinical effectiveness, the presence of non-physiological flow conditions...
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Mara Pompili (University of Graz)26/02/2026, 14:15Contributed Talk
Cluster algebras are built by repeated “mutation,” but their basic arithmetic is still mysterious: do elements factor uniquely? I’ll describe algorithms that, for a large class of cluster algebras (including many from surfaces and Grassmannians), compute the divisor class group, decide when unique factorization holds, and even list all factorizations of a given element. This is a joint work...
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Lorenza D'Elia (TU Wien)26/02/2026, 14:15Contributed Talk
In this talk, we provide a first-order homogenization result for quadratic functionals via a variational approach. In particular, we identify the scaling of the energy and the explicit form of the limiting functional in terms of the first-order correctors. The main novelty of the paper is the use of the dual correspondence between quadratic functionals and PDEs, combined with a refinement of...
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Sara Xhahysa (TU Wien)26/02/2026, 14:15Contributed Talk
Volume-filling cross-diffusion equations for the components of a tissue structure are formally derived from mass conservation laws and force balances for the interphase pressures and viscous drag forces in a multiphase approach. The equations include Maxwell--Stefan, tumor-growth, thin-film solar cell models as well as novel volume-filling population systems. The Boltzmann and Rao entropy...
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Inés Vega González (Universität Wien)26/02/2026, 14:15Contributed Talk
The singularity theorems of General Relativity (GR) are considered among
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the most relevant works in mathematical physics of the last century. They form a body of important results in Lorentzian differential geometry that establishes the occurrence of spacetime ``singularities", in the sense of causal geodesic incompleteness of the spacetime manifold under certain physically reasonable... -
Prof. Eva Kopecka (Universität Innsbruck)26/02/2026, 14:35Contributed Talk
Let $C_1, \dots, C_K$ be closed, convex and quasi-symmetric subsets of a Hilbert space $H$ with a nonempty intersection $C=\bigcap_1^K C_j$.
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A sequence of indices $\alpha\in \{1,\dots,K\}^{\mathbb N}$ and $x_0\in H$ generate the sequence of projections
$$ x_{n+1}=P_{\alpha(n)}x_n, \qquad n=0,1,2,\dots; $$ here $P_{\alpha(n)}$ denotes the nearest point projection onto the convex set ... -
Zahra Nazemian (University of Graz)26/02/2026, 14:35Contributed Talk
In this talk, we recall some challenging problems in algebra, such as the characterization problem of polynomial rings, the automorphism groups of certain algebras, and the Dixmier property of algebras. We then explain how the concept of Aut-stable subspaces can be used as a tool to approach these problems, [1, 2, 3, 4, 5].
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[1] H. Huang, Z. Nazemian, X. Tang, X.-T. Wang, Y. Wang, and J. J.... -
minha anees (RICAM)26/02/2026, 14:35
Background:
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High-power radiofrequency ablation (HP-RFA) is a minimally invasive technique for treating atrial fibrillation (AF); pulmonary vein isolation (PVI) serves as the cornerstone of this treatment. Variations in patient characteristics, such as body mass index (BMI), can influence the effectiveness and safety of PVI procedures. Obesity is a growing concern in the population, and... -
Teresa Rauscher (University of Graz)26/02/2026, 14:35Contributed Talk
Contrast-enhanced ultrasound is a valuable tool in biomedical applications, using gas-filled microbubbles to enhance both diagnostic and therapeutic imaging. Once injected, microbubbles oscillate nonlinearly in response to ultrasound waves, making sound propagation through bubbly liquids a highly nonlinear problem. This behavior is modeled by a nonlinear acoustic wave equation coupled with...
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Ceren Ayse Deral (Bogazici University)26/02/2026, 14:35Contributed Talk
We classify and construct supersymmetric solutions of D=3, N=2 gauged
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supergravity extended with a Fayet-Iliopoulos term. Null and timelike warped AdS spacetimes are seen among them. From the first one, a well-defined black hole can be obtained via periodic identification.
We also find charged string solutions that interpolate between two supersymmetric AdS or Minkowski extrema of the scalar... -
Thuy Le Thi (Electric Power University)26/02/2026, 14:55Contributed Talk
Degenerate parabolic equations arise in a variety of models in which diffusion vanishes or weakens in certain regions, thereby giving rise to substantial analytical difficulties. In particular, degeneracy strongly affects compactness and dissipative properties, which play a crucial role in the study of long-time dynamics and asymptotic behavior.
In this talk, we focus on a class of...
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Kathrin Lisa Kapper (University Graz, Austria)26/02/2026, 14:55
Effective segmentation and registration of 2D+t cardiac cine magnetic resonance images (cMRI) is crucial for accurate and fast 3D cardiac model construction, forming the basis for individual hearts in cardiac digital twins. While 2D cMRI scans often have higher temporal resolution and quality than 3D MRI, they frequently suffer from spatial misalignment due to patient movement and irregular...
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Verena Schwarz26/02/2026, 14:55Contributed Talk
In this talk, we approximate the stochastic heat equation on the sphere driven by additive Lévy random field by a spectral method in space and forward and backward Euler-Maruyama schemes in time. Our spectral approximation is based on a truncation of the series expansion with respect to the real-valued spherical harmonics. We provide strong convergence rates, convergence of the expectation and...
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Carina Premstaller (Universität Salzburg)26/02/2026, 14:55Contributed Talk
In his 10th problem, Hilbert asked for an algorithm to determine whether
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a given Diophantine equation has integer solutions.
While it has been proven that such an algorithm does not exist, several
important classes of Diophantine equations can still be solved effectively.\
In this talk, we will study one such class, the class of Thue equations, with a
particular focus on the family of... -
Clara Horvath26/02/2026, 15:15Poster Presentation
Singular perturbed dynamical systems provide a principled way to analyze mathematical
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models with widely separated times scales, where solutions typically evolve rapidly toward
a slow manifold and then drift along it. The hypothalamus–pituitary–thyroid (HPT) axis is a
central endocrine control loop that maintains thyroid hormone homeostasis via negative
feedback: hypothalamic and pituitary... -
Arzu Ahmadova (University of Duisburg-Essen)26/02/2026, 15:24Poster Presentation
Physics-informed neural networks (PINNs) bring together machine learning and physical laws to solve differential equations. While Hillebrecht and Unger (2022) provide rigorous a posteriori upper bounds for PINN prediction errors, certification requires complementary lower bounds to establish complete error enclosures. In this paper, we derive computable a posteriori lower bounds for PINN...
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Laura Füssel26/02/2026, 15:33Poster Presentation
Radiofrequency ablation (RFA) is a minimally invasive treatment for cardiac arrhythmia.
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Experimental studies play a central role in the investigation of RFA treatment effects. Typically, in-vitro and in-vivo experiments are conducted on animal cardiac tissue. In-vitro experiments consider the cardiac tissue outside the organism, while during in-vivo experiments the tissue remains in its... -
Ms Deniz Ergül (Gebze Technical University)26/02/2026, 15:42Poster Presentation
Lie algebroids provide a unifying framework that extends several classical
structures of differential geometry, including tangent bundles, Lie algebras
of vector fields, and foliations. The aim of this contribution is to present
Lie algebroids from an introductory and conceptually transparent perspective,
emphasizing how they arise naturally from familiar geometric objects.We begin by...
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Sude Tatar (Gebze Technical Universtiy)26/02/2026, 15:51Poster Presentation
Algebraic geometry codes have gained significant attention due to their strong structural properties. In this study, we investigate the construction of linear codes from cubic surfaces in the projective space $PG(3, 13)$. A smooth cubic surface over a finite field is known to contain exactly 27 lines. The configuration of these lines and their intersection points, specifically the Eckardt...
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Sandra Müller (TU Wien)27/02/2026, 08:45Invited Talk
The independence phenomenon is a central theme in set theory and more generally in mathematics. Starting from the Continuum Problem, there are numerous statements in various areas of mathematics that can neither be proven nor disproven in the usual axiomatic framework given by the Zermelo Fraenkel Axioms. The most promising approach to attack this issue is by studying extensions of the usual...
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Agnes Mallinger (Johannes Kepler University)27/02/2026, 09:30Contributed Talk
Piecewise diffusion Markov processes (PDifMPs) form a versatile class of stochastic hybrid systems that combine continuous diffusion processes with discrete event-driven dynamics, enabling flexible modelling of complex real-world hybrid phenomena. The practical utility of PDifMP models, however, depends critically on accurate estimation of their underlying parameters. In this work, we present...
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Marta Sálamo Candal (University of Vienna)27/02/2026, 09:30Contributed Talk
Timelike lower Ricci curvature bounds in smooth spacetimes are known to be characterised by the convexity of a suitable entropy functional along geodesics in the space of probability measures. Such geodesics are defined via optimal transport, in analogy with the Wasserstein distance in the Riemannian setting. Pioneering work in this direction was carried out by McCann [1] and by Mondino–Suhr...
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Eva Flonner (Vienna University of Economics and Business / UNIQA Insurance Group)27/02/2026, 09:30Contributed Talk
This talk deals with the so-called filtering problem, the optimal estimation of a hidden state given partial and noisy observations. In the seminal paper by Kushner \cite{KUSHNER1967179}, a nonlinear stochastic partial differential equation for the conditional density of continuous processes with continuous observations has been derived. In a subsequent paper, Zakai \cite{zakai1969optimal} was...
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Tamari Kldiashvili (University of Graz)27/02/2026, 09:30Contributed Talk
Flocking is a form of collective behavior commonly observed in nature, particularly among birds and fish. We focus on the Motsch-Tadmor particle model
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for birds flocking, which differs from the classical Cucker-Smale model due
to its use of a relative influence term which introduce an asymmetry in the
interactions. While mean field limit has been rigorously established for the
Cucker-Smale... -
Jana Vráblíková (Inria Centre at Université Côte d'Azur, Johannes Kepler University Linz)27/02/2026, 09:30Contributed Talk
Real-time pose estimation is a fundamental challenge in computer vision. It involves finding a rotation and a translation that transforms one set of points into another. This problem is often posed as a non-linear least squares problem, which can be reduced to a homogeneous zero-dimensional polynomial system.
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In this talk, we explain how to use resultant matrices to solve the problem in a... -
Mariia Filipkovska (B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine)27/02/2026, 09:50Contributed Talk
This talk presents an approach to the qualitative analysis of differential-algebraic equations (DAEs) and partial differential equations (PDEs) presented in the form of abstract differential-algebraic equations (ADAEs) with the regular characteristic pencils of arbitrarily high indices. We will deal with the ADAE of the form $\frac{d}{dt}[Ax]+Bx=f(t,x)$, where $A$ and $B$ are closed linear...
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Noy Soffer Aranov (TU Graz)27/02/2026, 09:50Contributed Talk
One way to study the distribution of nested quadratic number fields satisfying fixed arithmetic relationships is through the evolution of continued fraction expansions. In the function field setting, it was shown by de Mathan and Teullie that given a quadratic irrational $\Theta$, the degrees of the periodic part of the continued fraction of $t^n\Theta$ are unbounded. Paulin and Shapira...
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Katharina Schuh27/02/2026, 09:50Contributed Talk
In this talk, we study the long-time behaviour of second-order Langevin dynamics and establish global contraction in an $L^1$-Wasserstein distance with an explicit dimension-free rate. The contraction result is not restricted to forces corresponding to strongly convex confining potentials. It rather includes multi-well potentials and non-gradient-type forces. In the proof, we use a coupling...
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Şeyma Karadereli (Bogazici University)27/02/2026, 09:50Contributed Talk
A real algebraic link in the 3-sphere is defined as the zero locus in the 3-sphere of a real algebraic function from $\mathbb{R}^4 \to \mathbb{R}^2$ with an isolated singularity at the origin. A real algebraic open book decomposition on
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the 3-sphere is by definition the Milnor fibration of such a real algebraic function. In this talk, I will present our recent result which proves that every... -
Bochra Mejri (RICAM)27/02/2026, 09:50Contributed Talk
This talk focuses on identifying vertex characteristics in 2D images using topological asymptotic analysis. Vertex characteristics include both the location and the type of the vertex, with the latter defined by the number of lines forming it and the corresponding angles. This problem is crucial for computer vision tasks, such as distinguishing between fore- and background objects in 3D...
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Lara Gildehaus27/02/2026, 10:10Contributed Talk
Self-concept and sense of belonging in mathematics are well-established
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predictors of mathematical performance, study choice motivation, and study reten-
tion, particularly in STEM disciplines. Yet, pronounced gender disparities remain:
female students consistently report lower levels of mathematical self-concept and a
reduced sense of belonging in mathematics. These differences are... -
Amira Meddah (Johannes Kepler University, Linz, Austria)27/02/2026, 10:10Contributed Talk
Piecewise Diffusion Markov Processes (PDifMPs) are valuable for modelling systems where continuous dynamics are interrupted by sudden shifts and/or changes in drift and diffusion. The first-passage time (FPT) in such models plays a central role in understanding when a process first reaches a critical boundary. In many systems, time-dependent thresholds provide a flexible framework for...
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Laura Kanzler (CNRS Paris)27/02/2026, 10:10Invited Talk
Aquatic ecosystems are shaped by countless interactions between individual organisms - but how do these microscopic encounters scale up to the large-scale patterns we observe in nature? How sensitive are these systems to human influence? Since the 1960s, research has revealed that body size plays a central role in structuring aquatic food webs, acting as a “master trait” that governs how...
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Vishnupriya Anupindi (University of Cantabria, Spain)27/02/2026, 10:10Contributed Talk
In this talk, we will look at the public key encryption scheme suggested by Leonardi and Luiz-Ropez that is based on the hardness of the learning homomorphism with noise problem (this is a generalisation of the learning with errors (LWE) problem to groups). Our results on the cryptanalysis of this protocol tell us which instantiations of groups aren't suitable for this cryptosystem, thus...
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Nesibe Ayhan27/02/2026, 10:10Contributed Talk
The classical Camassa-Holm (CH) equation is used to describe dynamics of shallow water waves, and features interesting behavior such as solitons or wave breaking. The study of CH has been extensively investigated in the literature. In this talk, we consider a generalized version of CH where the momentum can be of arbitrarily high order and the nonlinearity can be of any polynomial order. More...
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Eli Taxacher
Gender often appears to be obvious, natural, and clearly defined — something everyone already understands. Yet when we look more closely, even the most basic assumptions begin to unravel. This talk introduces current scientific perspectives on sex and gender and also explores why discussions on gender often become emotional or political.
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A talk for curious minds who enjoy questioning what... -
Gerald Lind, Yasmin Dolak-Struss
Two parallel sessions: one for doctoral students and one for those who supervise students. Coaches are Yasmin Dolak-Struss and Gerald Lind.
Yasmin Dolak-Struss is a trainer and systemic coach specialising in the professional development of researchers. With a background in technical physics and a PhD in mathematics, she has worked both in academia and in a major research funding...
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