### Pedro Aceves Sanchez

University of Vienna

**Advisor:**

Christian Schmeiser

**Dissertation:**

Fractional diffusion limits of kinetic transport equations

### Gervy Marie Angeles

University of Vienna

**Advisor:**

Christian Schmeiser

**Dissertation:**Short filament approximation to lamellipodium dynamics

### Ömer Faruk Bağ

University of Vienna

**Advisor:**

Vera Fischer

**Dissertation:**On higher Baire spaces combinatorics

### Sebastian Banert

University of Vienna

**Advisor:**

Radu Ioan Boţ

**Dissertation:**

Splitting algorithms in Hilbert spaces and beyond

### Alexander Beigl

University of Vienna

**Advisor:**

Otmar Scherzer

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

### Franz Berger

University of Vienna

**Advisor:**

Friedrich Haslinger

**Dissertation:**

Spectral theory of the dbar-Neumann problem

### Julius Berner

University of Vienna

**Advisor:**

Philipp Grohs

**Dissertation:**

Mathematical analysis of deep learning with applications to Kolmogorov equations

### Axel Böhm

University of Vienna

**Advisors:**

Radu Ioan Boţ, Hermann Schichl

**Dissertation:**

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

### Hector Homero Canales Farias

University of Vienna

**Advisor:**

Hendrik Bruin

**Dissertation:**

Geometrical and statistical properties of almost Anosov flows

### Mark Jason Celiz

University of Vienna

**Advisor:**

Karlheinz Gröchenig, Andreas Klotz

**Dissertation:**

Spaces of functions of variable bandwidth parametrized by piecewise constant functions

### Christopher Chiu

University of Vienna

**Advisor:**

Herwig Hauser

**Dissertation:**

Local geometry of the space of arcs

### Jernej Cinc

University of Vienna

**Advisor:**

Henk Bruin

**Dissertation:**

Strange attractors and inverse limit spaces

### Esther Daus

TU Wien

**Advisor:**

Ansgar Jüngel

**Dissertation:**

Analysis of kinetic and diffusive multi-species systems

### Julia Delacour

University of Vienna

**Advisor:**

Christian Schmeiser

**Dissertation:**

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

### Kirian Döpfner

TU Wien

**Advisor:**

Anton Arnold

**Dissertation:**

WKB-based numerical methods for the stationary Schrödinger equation

### Christian Dorner

University of Vienna

**Advisor:**

Hans Humenberger, Mathias Beiglböck

**Dissertation:**

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

### Dennis Elbrächter

University of Vienna

**Advisor:**

Philipp Grohs

**Dissertation:**

Approximation capabilities of deep ReLU neural networks

### Christof Ender

University of Vienna

**Advisor:**

Dietrich Burde

**Dissertation:**

Post-Lie algebra structures on classes of Lie algebras

### Markus Faulhuber

University of Vienna

**Advisor:**

Karlheinz Gröchenig

**Dissertation:**

Geometric aspects related to Gabor frames

### Markus Fellner

TU Wien

**Advisor:**

Ansgar Jüngel, Esther Daus

**Dissertation:**

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

### Lukas Fertl

TU Wien

**Advisor:**

Efstathia Bura

**Dissertation:**

Sufficient dimension reduction using conditional variance estimation and related concepts

### Gregor Gantner

TU Wien

**Advisor:**

Dirk Praetorius

**Dissertation:**

Optimal adaptivity for splines in finite and boundary element methods

### Tomack Gilmore

University of Vienna

**Advisor:**

Christian Krattenthaler

**Dissertation:**

Tiling problems and electrostatics

### Melanie Graf

University of Vienna

**Advisor:**

Michael Kunzinger

**Dissertation:**

Singulartiy theorems and rigidity in Lorentzian geometry

### Annemarie Grass

University of Vienna

**Advisor:**

Mathias Beiglböck

**Dissertation:**Modelling under uncertainty

### Eva-Maria Hainzl

TU Wien

**Advisor:**

Michael Drmota

**Dissertation:**

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

### Martin Halla

TU Wien

**Advisor:**

Joachim Schöberl

**Dissertation:**

Resonance and scattering problems in open systems

### Christoph Harrach

University of Vienna

**Advisor:**

Andreas Cap

**Dissertation:**

Poisson transforms for differential forms

### Susanna V. Haziot

University of Vienna

**Advisor:**

Adrian Constantin

**Dissertation:**

Mathematical studies of hydrodynamical currents and wave-current interactions

### Christoph Helmer

TU Wien

**Advisor:**

Ansgar Jüngel

**Dissertation:**

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

### Michael Hofbauer-Tsiflakos

University of Vienna

**Advisor:**

Henk Bruin

**Dissertation:**

Chaotic behaviour of falling balls

### Markus Holzleitner

University of Vienna

**Advisor:**

Aleksey Kostenko, Gerald Teschl

**Dissertation:**

Dispersive estimates for radial Schrödinger operators

### Hans Höngesberg

University of Vienna

**Advisor:**

Ilse Fischer

**Dissertation:**

The monotone triangle perspective on alternating sign arrays

### Florian Huber

TU Wien

**Advisor:**

Ansgar Jüngel

**Dissertation:**

Stochastic PDEs with cross-diffusion effects

### José A. Iglesias Martinez

University of Vienna

**Advisor:**

Otmar Scherzer

**Dissertation:**

Shape and image matching with nonconvex regularization

### Manuel Inselmann

University of Vienna

**Advisor:**

Benjamin Miller

**Dissertation:**

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

### Annalisa Iuorio

TU Wien

**Advisor:**

Peter Szmolyan

**Dissertation:**

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

### Nicolai Jork

TU Wien

**Advisor:**

Vladimir Veliov

**Dissertation:**

Solution Stability in PDE-Constrained Optimization

### Michael Kahr

University of Vienna

**Advisor:**

Immanuel M. Bomze, Markus Leitner

**Dissertation:**

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

### Laura Kanzler

University of Vienna

**Advisor:**

Christian Schmeiser

**Dissertation:**

Kinetic modelling of colonies of myxobacteria

### Iryna Karpenko

University of Vienna

**Advisor:**

Gerald Teschl, Dmitry Shepelsky

**Dissertation:**

The modified Camassa-Holm equation with nonvanishing boundary conditions

by a Riemann-Hilbert approach

### Jannis Körner

TU Wien

**Advisor:**

Anton Arnold

**Dissertation:**

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

### Andreas Kreuml

TU Wien

**Advisor:**

Monika Ludwig

**Dissertation:**

Fractional perimeters and symmetrization

### Josef Küstner

University of Vienna

**Advisor:**

Michael Schlosser

**Dissertation:**

Elliptic combinatorics of lattice paths, domino tilings and rook placements

### Till Luc Lange

University of Vienna

**Advisor:**

Gerald Teschl

**Dissertation:**

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

### Isabella Larcher

TU Wien

**Advisor:**

Bernhard Gittenberger

**Dissertation:**

Parameter studies on random trees and lambda terms

### Lukas Liehr

University of Vienna

**Advisor:**

Philipp Grohs

**Dissertation:**

Phaseless sampling of the short-time Fourier transform

### Angelika Manhart

University of Vienna

**Advisor:**

Christian Schmeiser

**Dissertation:**

Cell movement – zooming in and out

### Dennis Meier

University of Vienna

**Advisor:**

Radu Ioan Boţ

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

### Thomas Mejstrik

University of Vienna

**Advisor:**

Maria Charina

**Dissertation:**

Joint spectral radius and subdivison schemes

### Hana Melánová

University of Vienna

**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

### Melanie Melching

University of Vienna

**Advisor:**

Otmar Scherzer

**Dissertation:**

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

### Stefano Melchionna

University of Vienna

**Advisor:**

Ulisse Stefanelli

**Dissertation:**

Global variational methods for evolution equations

### Flavio Carlos Montiel Montoya

University of Vienna

**Advisor:**

Nils Carqueville

**Dissertation:**

Extended TQFTs valued in the Landau-Ginzburg bicategory

### Diana Carolina Montoya Amaya

University of Vienna

**Advisor:**

Sy-David Friedman

**Dissertation:**

Some cardinal invariants of the generalized Baire spaces

### Akbarali Mukhammadiev

University of Vienna

**Advisor:**

Paolo Giordano, Michael Kunzinger

**Dissertation:**

A Fourier transform for all generalized functions

### Tomáš Nagy

TU Wien

**Advisor:**

Michael Pinsker

**Dissertation:**

Algorithmic Techniques for Constraint Satisfaction Problems over Finitely Bounded Homogeneous Structures

### David Nenning

University of Vienna

**Advisor:**

Armin Rainer

**Dissertation:**

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

### Andreas Nessmann

TU Wien

**Advisors:**

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

**Dissertation:**

Discrete Polyharmonic Functions and their Applications in Combinatorics

### Dang-Khoa Nguyen

University of Vienna

**Advisor:**

Radu Ioan Boţ

**Dissertation:**

Numerical algorithms for structured nonsmooth and nonconvex optimization problems

### Noema Nicolussi

University of Vienna

**Advisor:**

Aleksey Kostenko, Gerald Teschl

**Dissertation:**

Quantum graphs

### Fabian Parzer

University of Vienna

**Advisor:**

Otmar Scherzer

**Dissertation:**

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

### Martin Pontz

University of Vienna

**Advisor:**

Reinhard Bürger

**Dissertation:**

Effects of epistasis in population genetic two-locus models

### Ronald Quirchmayr

University of Vienna

**Advisor:**

Adrian Constantin

**Dissertation:**

Mathematical studies in nonlinear water wave theory

### Ziping Rao

University of Vienna

**Advisor:**

Roland Donninger

**Dissertation:**

Nonlinear wave equations

### Martin Rathmair

University of Vienna

**Advisor:**

Philipp Grohs, Michael Eichmair

**Dissertation:**

Stability Analysis for infinite-dimensional Phase retrieval problems

### Alexander Rieder

TU Wien

**Advisor:**

Jens Markus Melenk

**Dissertation:**

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

### Christopher Rieser

TU Wien

**Advisor:**

Peter Filzmoser

**Dissertation:**

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

### Valerie Roitner

TU Wien

**Advisor:**

Bernhard Gittenberger

**Dissertation:**

Studies on several parameters in lattice paths

### Felix Rott

University of Vienna

**Advisor:**

Michael Kunzinger

**Dissertation:**

Fundamental constructions in Lorentzian length spaces

### Michele Ruggeri

TU Wien

**Advisor:**

Dirk Praetorius

**Dissertation:**

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

### Lorenzo Sauras-Altuzarra

TU Wien

**Advisor:**Matthias Baaz

**Dissertation:**

From Logic to Discrete Geometry via Lattices

### Lukas Schembecker

University of Vienna

**Advisor:**

Vera Fischer

**Dissertation:**

Forcing combinatorics, compact partitions, cofinitary groups

and Van Douwen families

### Daniel Scherl

University of Vienna

**Advisor:**

Nils Carqueville

**Dissertation:**

Topological quantum field theories and the tricategory of bimodule categories

### Jonathan Schilhan

University of Vienna

**Advisor:**

Vera Fischer

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

### Benedict Schinnerl

University of Vienna

**Advisor:**

Roland Steinbauer

**Dissertation:**

Non-smooth spacetime geometry

### Johannes Philipp Schürz

TU Wien

**Advisor:**

Martin Goldstern

**Dissertation:**

Cardinal Characteristics on large cardinals

### Cong Shi

University of Vienna

**Advisor:**

Otmar Scherzer

**Dissertation:**

High-resolution imaging for photoacoustic tomography and optical coherence tomography

### Polina Shpartko

TU Wien

**Advisor:**

Ansgar Jüngel

**Dissertation:**

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

### Michael Speckbacher

University of Vienna

**Advisor:**

Peter Balazs

**Dissertation:**

Reproducing pairs and flexible time-frequency representations

### Dominik Stürzer

TU Wien

**Advisor:**

Anton Arnold

**Dissertation:**

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

### Robin Sulzgruber

University of Vienna

**Advisor:**

Christian Krattenthaler

**Dissertation:**

Combinatorics of affine Weyl groups

### Lucas Teyssier

University of Vienna

**Advisor:**

Nathanaël Berestycki

**Dissertation:**

Mixing and cover time profiles for random walks on graphs

### Diksha Tiwari

University of Vienna

**Advisor:**

Paolo Giordano, Michael Kunzinger

**Dissertation:**Hyperseries and generalized real analytic functions

### Jordy Timo van Velthoven

University of Vienna

**Advisor:**

José Luis Romero

**Dissertation:**

Reproducing systems arising from unitary representations and functional expansions

### Johann Verwee

TU Wien

**Advisor:**

Michael Drmota, Gérald Tenenbaum

**Dissertation:**

Effective Erdös-Wintner theorems

### Leopold Veselka

University of Vienna

**Advisor:**

Peter Elbau

**Dissertation:**

Reconstruction of optical parameters in quantitative optical coherence tomography

### David Wallauch

University of Vienna

**Advisor:**

Roland Donninger

**Dissertation:**

On optimal blowup stability for nonlinear wave equations

### Sergey Yurkevich

University of Vienna

**Advisor:**

Alin Bostan, Herwig Hauser

**Dissertation:**

Integer sequences, algebraic series and differential operators

### Anastasiia Zalashko

University of Vienna

**Advisor:**

Walter Schachermayer

**Dissertation:**

Causal optimal transport: theory and applications