Alumni – VSM

Advisor:
Christian Schmeiser

Dissertation:
Fractional diffusion limits of kinetic transport equations

Advisor:
Ilse Fischer

Dissertation:
Polynomiality phenomena related to fully packed loops and similar objects

Advisor:
Christian Schmeiser

Dissertation:
Short filament approximation to lamellipodium dynamics

Advisor:
Vera Fischer

Dissertation:
On higher Baire spaces combinatorics

Advisor:
Radu Ioan Boţ

Dissertation:
Splitting algorithms in Hilbert spaces and beyond

Advisor:
Otmar Scherzer

Dissertation:
An optimal control approach to photoacoustic tomography and a new approach for quantitative reconstruction

Advisor:
Michael Kunzinger, Roland Steinbauer

Dissertation:
Timelike curvature comparison in Lorentzian length spaces

Advisor:
Friedrich Haslinger

Dissertation:
Spectral theory of the dbar-Neumann problem

Advisor:
Philipp Grohs

Dissertation:
Mathematical analysis of deep learning with applications to Kolmogorov equations

Advisor:
Jens Markus Melenk, llaria Perugia

Dissertation:
Time harmonic wave propagation

Advisors:
Radu Ioan Boţ, Hermann Schichl

Dissertation:
Quantitative convergence estimates of deterministic and stochastic methods for optimization and minimax problem

Advisor:
Ulisse Stefanelli, Christian Schmeiser

Dissertation:
Variational models for biological membranes

Advisor:
Martin Ehler

Dissertation:
Dimension reduction with orthogonal projections and applications in medical imaging using learning frameworks

Advisor:
Elisa Davoli, Ulisse Stefanelli

Dissertation:
Existence results and dimension reduction problems in large-strain magnetoelasticity

Advisor:
Dirk Praetorius

Dissertation:
On optimal adaptivity for semilinear PDEs

Advisor:
Hendrik Bruin

Dissertation:
Geometrical and statistical properties of almost Anosov flows

Advisor:
Harald Grobner

Dissertation:
Whittaker periods of isobaric sums over totally real fields and special L-values

Advisor:
Karlheinz Gröchenig, Andreas Klotz

Dissertation:
Spaces of functions of variable bandwidth parametrized by piecewise constant functions

Advisor:
Herwig Hauser

Dissertation:
Local geometry of the space of arcs

Advisor:
Henk Bruin

Dissertation:
Strange attractors and inverse limit spaces

Advisor:
Jens Markus Melenk, Joachim Schöberl

Dissertation:
Model order reduction for fractional diffusion problems

Advisor:
Ansgar Jüngel

Dissertation:
Analysis of kinetic and diffusive multi-species systems

Advisor:
Christian Schmeiser

Dissertation:
Modeling the growth of p62-Ubiquitin aggregates involved in cellular autophagy

Advisor:
Vladimir Veliov

Dissertation:
Metric regularity in model predictive and optimal control

Advisor:
Anton Arnold

Dissertation:
WKB-based numerical methods for the stationary Schrödinger equation

Advisor:
Hans Humenberger, Mathias Beiglböck

Dissertation:
What kind of financial mathematics should be taught in math classes?

Advisor:
Christopher Cashen, Goulnara Arzhantseva

Dissertation:
Quasi-Isometries for two-dimensional Right-Angled Coxeter Groups

Advisor:
Philipp Grohs

Dissertation:
Approximation capabilities of deep ReLU neural networks

Advisor:
Dietrich Burde

Dissertation:
Post-Lie algebra structures on classes of Lie algebras

Advisor:
Karlheinz Gröchenig

Dissertation:
Geometric aspects related to Gabor frames

Advisor:
Christian Schmeiser, Anton Arnold

Dissertation:
Hypocoercivity for linear and nonlinear kinetic systems

Advisor:
Dirk Praetorius

Dissertation:
Rate optimality of adaptive algorithms

Advisor:
Ansgar Jüngel, Esther Daus

Dissertation:
Numerische Simulation und mathematische Analysis von diffusiven Mehrspezies-Systemen in der Biologie und Physik

Advisor:
Efstathia Bura

Dissertation:
Sufficient dimension reduction using conditional variance estimation and related concepts

Advisor:
Christian Schmeiser, Marie-Therese Wolfram

Dissertation:
Applications of interacting particle systems in life- and social-sciences across scales

Advisor:
Immanuel Bomze

Dissertation:
Conic and quadratic optimization tools for optimization under uncertainty

Advisor:
Dirk Praetorius

Dissertation:
Optimal adaptivity for splines in finite and boundary element methods

Advisor:
Georg Ch. Pflug

Dissertation:
Stochastic approximation for PDE-constrained optimization under uncertainty

Advisor:
Philipp Grohs

Dissertation:
Solving the electronic Schrödinger equation using Deep Neural Networks and Transfer Learning

Advisor:
Christian Krattenthaler

Dissertation:
Tiling problems and electrostatics

Advisor:
Ansgar Jüngel

Dissertation:
Modeling and analysis of multicomponent systems for gas mixtures

Advisor:
Reinhard Bürger

Dissertation:
A multilocus model for the adaptation of complex ecological traits, and beyond

Advisor:
Michael Kunzinger

Dissertation:
Singulartiy theorems and rigidity in Lorentzian geometry

Advisor:
Mathias Beiglböck

Dissertation:
Modelling under uncertainty

Advisor:
Michael Drmota

Dissertation:
Singularity analysis of discrete differential equations with one catalytic variable and applications

Advisor:
Joachim Schöberl

Dissertation:
Resonance and scattering problems in open systems

Advisor:
Andreas Cap

Dissertation:
Poisson transforms for differential forms

Advisor:
Adrian Constantin

Dissertation:
Mathematical studies of hydrodynamical currents and wave-current interactions

Advisor:
Ansgar Jüngel

Dissertation:
Analysis and Numerical Approximation of Degenerate Parabolic Systems arising in Thermodynamics and Biology

Advisor:
Henk Bruin

Dissertation:
Chaotic behaviour of falling balls

Advisor:
Franz Schuster

Dissertation:
Isoperimetric Problems for Minkowski Valuations

Advisor:
Karl Grill

Dissertation:
Statistical Inference based on Empirical Integral Transforms

Advisor:
Ansgar Jüngel,

Dissertation:
Rigorous derivations of diffusion systems from moderately interacting particle models

Advisor:
Ansgar Jüngel, Dirk Praetorius

Dissertation:
Deriviation and large-time asymtotics of diffusion models in spintronics and optical lattices

Advisor:
Aleksey Kostenko, Gerald Teschl

Dissertation:
Dispersive estimates for radial Schrödinger operators

Advisor:
Ilse Fischer

Dissertation:
The monotone triangle perspective on alternating sign arrays

Advisor:
Ansgar Jüngel

Dissertation:
Stochastic PDEs with cross-diffusion effects

Advisor:
Otmar Scherzer

Dissertation:
Shape and image matching with nonconvex regularization

Advisor:
Dirk Praetorius, Jens Markus Melenk

Dissertation:
Reliable goal-oriented adaptive FEM

Advisor:
Benjamin Miller

Dissertation:
Generalized notions of recurrence: Bases and the existence of invariant probability measures

Advisor:
Peter Szmolyan

Dissertation:
Geometric analysis of multi-scale solutions in regularized models of microstructures and touchdown phenomena in MEMS

Advisor:
Nathanael Berestycki

Dissertation:
Contribution to multiplicative chaos theory

Advisor:
Vladimir Veliov

Dissertation:
Solution Stability in PDE-Constrained Optimization

Advisor:
Immanuel M. Bomze, Markus Leitner

Dissertation:
Mathematical optimization for social network analysis: Influence maximization and community detection

Advisor:
Christian Schmeiser

Dissertation:
Kinetic modelling of colonies of myxobacteria

Advisor:
Gerald Teschl, Dmitry Shepelsky

Dissertation:
The modified Camassa-Holm equation with nonvanishing boundary conditions
by a Riemann-Hilbert approach

Advisor:
Arnold Neumaier

Dissertation:
Unconstrained and bound-constrained optimization in high dimensions

Advisor:
Franz E. Schuster

Dissertation:
Rearrangement and Sobolev inequalities via projection averages

Advisor:
Sy Friedman

Dissertation:
Special Aronszajn Trees and Kurepa Trees

Advisor:
Anton Arnold

Dissertation:
WKB-based methods for the solution of highly oscillatory differential equations

Advisor:
Monika Ludwig

Dissertation:
Fractional perimeters and symmetrization

Advisor:
Michael Schlosser

Dissertation:
Elliptic combinatorics of lattice paths, domino tilings and rook placements

Advisor:
Gerald Teschl

Dissertation:
On the inverse scattering transform for the Korteweg-de Vries equation with steplike initial profile

Advisor:
Bernhard Gittenberger

Dissertation:
Parameter studies on random trees and lambda terms

Advisor:
Philipp Grohs

Dissertation:
Phaseless sampling of the short-time Fourier transform

Advisor:
Paolo Piovano; Jean-François Babadjian

Dissertation:
Solutions for a two-phase free-boundary problem and for dynamic perfect elasto-plasticity

Advisor:
Christian Schmeiser

Dissertation:
Cell movement – zooming in and out

Advisor:
Bernhard Gittenberger

Dissertation:
Combinatorial properties of phylogenetic networks

Advisor:
Radu Ioan Boţ

Dissertation:
Improving the convergence behaviour of splitting algorithms for monotone inclusions in Hilbert spaces: from weak to strong convergence

Advisor:
Maria Charina

Dissertation:
Joint spectral radius and subdivison schemes

Advisor:
Herwig Hauser

Dissertation:
Geometric invariants for the resolution of curve singularities and for the problem of the moduli space of n points on the projective line

Advisor:
Ulisse Stefanelli, Joachim Schöberl

Dissertation:
Variational methods in finite plasticity: existence and applications

Advisor:
Otmar Scherzer

Dissertation:
Regularization with integral representations of Sobolev norms of manifold-valued functions

Advisor:
Ulisse Stefanelli

Dissertation:
Global variational methods for evolution equations

Advisor:
Norbert Mauser, Ulisse Stefanelli

Dissertation:
(Asymptotic) analysis of the Pauli-Poisswell equation in semi-relativistic quantum physics

Advisor:
Nils Carqueville

Dissertation:
Extended TQFTs valued in the Landau-Ginzburg bicategory

Advisor:
Sy-David Friedman

Dissertation:
Some cardinal invariants of the generalized Baire spaces

Advisor:
Paolo Giordano, Michael Kunzinger

Dissertation:
A Fourier transform for all generalized functions

Advisor:
Michael Pinsker

Dissertation:
Algorithmic Techniques for Constraint Satisfaction Problems over Finitely Bounded Homogeneous Structures

Advisor:
Armin Rainer

Dissertation:
ODE-closedness of function spaces and almost analytic extensions of ultradifferentiable functions

Advisors:
Kilian Raschel (Université de Tours), Michael Drmota (TU Wien)

Dissertation:
Discrete Polyharmonic Functions and their Applications in Combinatorics

Advisor:
Joachim Schöberl, Ulisse Stefanelli

Dissertation:
Mixed finite element methods for nonlinear continuum mechanics and shells

Advisor:
Radu Ioan Boţ

Dissertation:
Numerical algorithms for structured nonsmooth and nonconvex optimization problems

Advisor:
Aleksey Kostenko, Gerald Teschl

Dissertation:
Quantum graphs

Advisor:
Mathias Beiglböck, Jan Maas

Dissertation:
The Waterstein space of stochastic processes

Advisor:
Otmar Scherzer

Dissertation:
Low-rank and scale-space methods for imaging with uncertainty quantification

Advisor:
Dirk Praetorius, Norbert Mauser

Dissertation:
Numerical analysis and efficient simulation of micromagnetic phenomena

Advisor:
Ilaria Perugia

Dissertation:
Virtual element methods for problems in acoustics and fluid dynamics

Advisor:
Christian Schmeiser, Peter Markowich

Dissertation:
On PDE models for transportation networks

Advisor:
Gerald Teschl, Mathias Beiglböck

Dissertation:
The KdV equation with steplike initial data: A Riemann-Hilbert analysis

Advisor:
Sara Merino Aceituno

Dissertation:
Mathematical modelling and simulation of epithelial-to-mesenchymal transitions leading to cell migration

Advisor:
Udo Hertrich-Jeromin

Dissertation:
Channel linear Weingarten surfaces in smooth and discrete differential geometry

Advisor:
Reinhard Bürger

Dissertation:
Effects of epistasis in population genetic two-locus models

Advisor:
Adrian Constantin

Dissertation:
Mathematical studies in nonlinear water wave theory

Advisor:
Thorsten Rheinländer

Dissertation:
Stochastic modeling and statistical properties of the Limit Order Book

Advisor:
Klaus Nordhausen

Dissertation:
Non-Gaussian feature extraction for complex data

Advisor:
Roland Donninger

Dissertation:
Nonlinear wave equations

Advisor:
Philipp Grohs, Michael Eichmair

Dissertation:
Stability Analysis for infinite-dimensional Phase retrieval problems

Advisors:
Harald Woracek, Aleksey Kostenko

Dissertation:
Eigenvalue density of canonical systems

Advisor:
Jens Markus Melenk

Dissertation:
Convolution quadrature and boundary element methods in wave propagation: a time domain point of view

Advisor:
Peter Filzmoser

Dissertation:
Spatial dependence, trends, functional outliers and sparsity in Compositional Data Analysis

Advisor:
Christa Cuchiero

Dissertation:
Probabilistic solutions of the supercooled Stefan problem

Advisor:
Bernhard Gittenberger

Dissertation:
Studies on several parameters in lattice paths

Advisor:
Michael Kunzinger

Dissertation:
Fundamental constructions in Lorentzian length spaces

Advisor:
Dirk Praetorius

Dissertation:
Coupling and numerical integration of the Landau-Lifshitz-Gilbert equation

Advisor:
Ilse Fischer

Dissertation:
Refined enumeration of alternating sign matrices and domino tilings of Aztec rectangles

Advisor:
Matthias Baaz

Dissertation:
From Logic to Discrete Geometry via Lattices

Advisor:
Vera Fischer

Dissertation:
Forcing combinatorics, compact partitions, cofinitary groups
and Van Douwen families

Advisor:
Nils Carqueville

Dissertation:
Topological quantum field theories and the tricategory of bimodule categories

Advisor:
Vera Fischer

Dissertation:
Combinatorics and definability on the real line and the higher continuum

Advisor:
Roland Steinbauer

Dissertation:
Non-smooth spacetime geometry

Advisor:
Martin Goldstern

Dissertation:
Cardinal Characteristics on large cardinals

Advisor:
Radu Ioan Boţ, Tara Andrews

Dissertation:
Convergence rate analysis of optimisation and minimax algorithms for machine learning

Advisor:
Ulisse Stefanelli

Dissertation:
Variational Modeling of Molecular Geometries

Advisors:
Karlheinz Gröchenig, Markus Faulhuber

Dissertation:
Topics in time-frequency analysis

Advisor:
Georg Nawratil

Dissertation:
Rigid-foldable Quad Meshes with Control Polylines: Interactive Design and Motion Simulation

Advisor:
Otmar Scherzer

Dissertation:
High-resolution imaging for photoacoustic tomography and optical coherence tomography

Advisor:
Ansgar Jüngel

Dissertation:
Analytical and numerical study of drift-diffusion models for spin-transport in semiconductors

Advisor:
Anton Arnold, Ansgar Jüngel

Dissertation:
On optimal decay estimates for hypocoercive evolution equations

Advisor:
Peter Balazs

Dissertation:
Reproducing pairs and flexible time-frequency representations

Advisor:
Ilaria Perugia, Joachim Schöberl

Dissertation:
Space-time finite element methods

Advisor:
Dirk Praetorius

Research Topic:
Optimal complexity of standard and goal oriented adaptive FEM for general second-order linear elliptic PDEs

Advisor:
Anton Arnold

Dissertation:
Insights into evolution equations — from Fokker-Planck to Euler-Bernoulli

Advisor:
Christian Krattenthaler

Dissertation:
Combinatorics of affine Weyl groups

Advisor:
Nathanaël Berestycki

Dissertation:
Mixing and cover time profiles for random walks on graphs

Advisor:
Paolo Giordano, Michael Kunzinger

Dissertation:
Hyperseries and generalized real analytic functions

Advisor:
Anton Arnold

Dissertation:
Refined entropy method for Fokker-Planck equations with confinement

Advisor:
Mathias Beiglböck, Walter Schachermayer

Dissertation:
A probabilistic view of Wasserstein gradient flows and the Benamou-Brenier problem

Advisor:
Nathanaël Berestycki

Dissertation:
On spin systems, height functions and random walks

Advisor:
José Luis Romero

Dissertation:
Reproducing systems arising from unitary representations and functional expansions

Advisor:
Michael Drmota, Gérald Tenenbaum

Dissertation:
Effective Erdös-Wintner theorems

Advisor:
Peter Elbau

Dissertation:
Reconstruction of optical parameters in quantitative optical coherence tomography

Advisor:
Ulisse Stefanelli

Dissertation:
Variational Models and Methods in Material Science and Evolution Equations

Advisor:
Roland Donninger

Dissertation:
On optimal blowup stability for nonlinear wave equations

Advisor:
Anton Arnold, Christian Schmeiser

Dissertation:
On decay rates in linear kinetic equations with defects

Advisor:
Alin Bostan, Herwig Hauser

Dissertation:
Integer sequences, algebraic series and differential operators

Advisor:
Walter Schachermayer

Dissertation:
Causal optimal transport: theory and applications

Pedro Aceves Sanchez

Florian Aigner

Gervy Marie Angeles

Ömer Faruk Bağ

Sebastian Banert

Alexander Beigl

Tobias Beran

Franz Berger

Julius Berner

Maximilian Bernkopf

Axel Böhm

Katharina Brazda

Anna Breger

Marco Bresciani

Maximilian Brunner

Hector Homero Canales Farias

Giancarlo Castellano

Mark Jason Celiz

Christopher Chiu

Jernej Cinc

Tobias Danczul

Esther Daus

Julia Delacour

Alberto Domínguez Corella

Kirian Döpfner

Christian Dorner

Alexandra Edletzberger

Dennis Elbrächter

Christof Ender

Markus Faulhuber

Gianluca Favre

Michael Feischl

Markus Fellner

Lukas Fertl

Michael Fischer

Markus Gabl

Gregor Gantner

Caroline Geiersbach

Leon Gerard

Tomack Gilmore

Stefanos Giorgiadis

Hannah Götsch

Melanie Graf

Annemarie Grass

Eva-Maria Hainzl

Martin Halla

Christoph Harrach

Susanna V. Haziot

Christoph Helmer

Michael Hofbauer-Tsiflakos

Georg Hofstätter

Tomasz Holynski

Alexandra Holzinger

Philipp Holzinger

Markus Holzleitner

Hans Höngesberg

Florian Huber

José A. Iglesias Martinez

Michael Innerberger

Manuel Inselmann

Annalisa Iuorio

Antoine Jego

Nicolai Jork

Michael Kahr

Laura Kanzler

Iryna Karpenko

Morteza Kimiaei

Philipp Kniefacz

Marlene Koelbing

Jannis Körner

Andreas Kreuml

Josef Küstner

Till Luc Lange

Isabella Larcher

Lukas Liehr

Randy Llerena

Angelika Manhart

Marefatollah Mansouri

Dennis Meier

Thomas Mejstrik