Students – VSM

Advisor:
Christian Krattenthaler

Research Topic:
Topics in combinatorics and special functions

Advisor:
Karlheinz Gröchenig

Research Topic:
Spaces of variable bandwidth and Wilson bases

Advisor:
Vladimir Veliov

Research Topic:
Regularity properties of mappings and applications

Advisor:
Thorsten Rheinländer, Pavel V. Shevchenko

Research Topic:
Deep learning in financial and actuarial mathematics

Advisor:
Arnold Neumaier

Research Topic:
The potential energy surface of HxOy

Advisor:
Jens Markus Melenk

Research Topic:
tba

Advisor:
Sabine Hittmeir

Research Topic:
Extensions of classical atmospheric flow models and their boundary layers: incorporating moisture and precipitation

Advisor:
Peter Szmolyan

Research Topic:
Multiscale dynamics in chemical and biological systems

Advisor:
Udo Hertrich-Jeromin

Research Topic:
Surface ends and extensions

Advisor:
Michael Kunzinger, Roland Steinbauer

Research Topic:
Low regularity extensions of spacetimes, Lorentzian length spaces

Advisor:
Philipp Grohs

Research Topic:
Mathematical analysis of deep learning based methods for solving high-dimensional problems

Advisor:
Balázs Szendrői

Research Topic:
Quot Schemes in the McKay Correspondence

Advisor:
Otmar Scherzer

Research Topic:
Image processing for medical ultrasound

Advisor:
Joachim Schwermer

Research Topic:
Eisenstein cohomology of arithmetic groups – the exceptional group G_2

Advisor:
Franz Schuster

Research Topic:
tba

Advisor:
Dirk Praetorius

Research Topic:
Adaptive FEM for nonlinear elliptic PDEs

Advisor:
Peter Balazs

Research Topic:
Discrete representation of operators on banach spaces using frames

Advisor:
Roland Steinbauer, Michael Kunzinger

Research Topic:
Non-smooth space-time geometry

Advisor:
Jakob Kellner, Diego Mejía

Research Topic:
Forcing theory and combinatorics of the real line

Advisor:
Harald Grobner

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

Advisor:
Ulisse Stefanelli

Research Topic:
Variational methods for data-driven inelastic material modeling

Advisor:
Fabio Toninelli

Research Topic:
Logarithmic superdiffusivity in two-dimensional fluid models

Advisor:
Lorenzo Luperi Baglini; Co-advisor: Mathias Beiglböck

Research Topic:
Ultrafilter methods in Ramsey Theory

Advisor:
Elisa Davoli

Research Topic:
tba

Advisor:
Alexander Glazman

Research Topic:
Phase transitions in two-dimensional statistical mechanics: Ashkin-Teller and related models

Advisor:
Alberto Minguez, Harald Grobner

Research Topic:
Automorphic forms of GL(n) over a division algebra

Advisor:
Christopher Cashen, Goulnara Arzhantseva

Research Topic:
Coarse invariants of some families of finitely generated groups

Advisor:
Franz Schuster

Research Topic:
tba

Advisor:
José Luis Romero

Research Topic:
Multiple sampling and interpolation in weighted spaces of entire functions and connections to time-frequency analysis

Advisor:
Ansgar Jüngel, Esther Daus

Research Topic:
Random Batch Methods for Interacting Particle Systems

Advisor:
Martin Goldstern

Research Topic:
tba

Advisor:
Ilaria Perugia, Vladimir Kazeev

Research Topic:
Space-time finite element methods for wave problems in time-domain: tensor-structured approaches

Advisor:
Otmar Scherzer

Research Topic:
Data driven approaches in inverse problems and novel approximation methods

Advisor:
Herwig Hauser

Research Topic:
Algebraic study of differential equations in all characteristics

Advisor:
Ilse Fischer

Research Topic:
Alternating sign arrays and plane partitions

Advisor:
Nawid Siassi

Research Topic:
On the optimal design of tax-transfer policies to low-income households

Advisor:
Philipp Grohs

Research Topic:
Numerical approximation of partial differential equations with deep neural networks

Advisor:
Ansgar Jüngel

Research Topic:
Modeling and analysis of multicomponent systems for gas mixtures

Advisor:
Elisa Davoli, Giovanni Di Fratta

Research Topic:
Nonlocal-to-local analysis in micromagnetics

Advisor:
Reinhard Bürger

Research Topic:
Multilocus models for the adaptation of complex ecological traits in spatially structured populations

Advisor:
Mathias Beiglböck

Research Topic:
Multi-marginal solutions to the Skorokhod embedding problem and the information paradox in robust mathematical finance

Advisor:
Andreas Čap

Research Topic:
Parabolic geometries and BGG-sequences

Advisor:
Peter Balazs

Research Topic:
Structured modeling in a deep learning setting using frame theory

Advisor:
Michael Drmota

Research Topic:
Infinite singular systems of functional equations in combinatorics

Advisor:
Elisa Davoli, Giovanni Di Fratta

Research Topic:
Variational analysis of magnetic skyrmions

Advisor:
Fabio Lucio Toninelli

Research Topic:
Two dimensional statistical physics, stochastic interface growth models and the AKPZ universality classes

Advisor:
Ansgar Jüngel

Research Topic:
tba

Advisor:
Karl Grill

Research Topic:
Statistical inference based on empirical integral transforms

Advisor:
Ansgar Jüngel,

Research Topic:
Mean-field limits for cross-diffusion systems

Advisor:
Bernhard Lamel

Research Topic:
Several complex variables

Advisor:
Radu Ioan Boţ

Research Topic:
Continuous-time approaches to saddle point problems

Advisor:
Paolo Giordano; Michael Kunzinger

Research Topic:
Applications of generalized smooth functions

Advisor:
Vladimir Veliov

Research Topic:
Regularity properties of mappings and applications

Advisor:
Georg Nawratil

Research Topic:
Singularity Distance computations for parallel manipulators

Advisor:
Radu Ioan Boţ

Research Topic:
Continuous time approaches for non-smooth optimization

Advisor:
Clemens Heitzinger

Research Topic:
Optimal Bayesian inversion in computational uncertainty quantification for PDE models

Advisor:
Gerald Teschl, Dmitry Shepelsky

Research Topic:
Initial and initial-boundary value problems for Camassa-Holm-type integrable nonlinear equations

Advisor:
Paolo Giordano, Michael Kunzinger

Research Topic:
Functional analysis in spaces of generalized functions

Advisor:
Vera Vértesi, Michael Eichmair

Research Topic: Contact topology through the lens of Riemannian Geometry

Advisor:
Sy Friedman

Research Topic:
Gaps in the generalised Baire space

Advisor:
Joachim Schöberl, Ilaria Perugia

Research Topic:
Scalable solvers for PDEs

Advisor:
Philipp Grohs

Research Topic:
Obstructions in the approximation theory of shallow neural networks

Advisor:
Anton Arnold

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

Advisor:
Sandra Müller

Research Topic:
Derived models of determinacy

Advisor:
Peter Balazs

Research Topic:
Continuous fields of equivalence bimodules for varied time-frequency systems

Advisor:
Aris Daniilidis

Research Topic:
Calculus of variations and optimization

Advisor:
Philipp Petersen

Research Topic:
Deep learning and neural networks

Advisor:
Joachim Schöberl

Research Topic:
Model order reduction for electro-magnetic multiscale problems

Advisor:
Philipp Grohs

Research Topic:
Analysis of the infinite-dimensional STFT phase retrieval problem

Advisor:
Karl Grill

Research Topic:
Property B and the probabilistic method

Advisor:
Paolo Piovano; Jean-François Babadjian

Research Topic:
Existence of solutions of two-phase free-boundary problems and dynamical evolution in perfect elasto-plasticity

Advisor:
Michael Kunzinger

Research Topic:
Extended symmetry analysis of linear and nonlinear Schrodinger equations

Advisor:
Ansgar Jüngel

Research Topic:
Analysis of cross-diffusion systems via the entropy method

Advisor:
Michael Eichmair; Zsolt Lavicza, Marko Lüftenegger

Research Topic:
The self-regulative role of technologies in mathematics education

Advisor:
Christian Müller

Research Topic:
Discrete structures in Laguerre geometry

Advisor:
Vera Fischer

Research Topic:
Descriptive complexity of combinatorial objects in forcing extensions

Advisor:
Norbert Mauser, Ulisse Stefanelli

Research Topic:
Nonlinear Schrödinger-type equations in relativistic and non-relativistic quantum mechanics

Advisor:
Dietrich Burde

Research Topic:
Affine geometry on Lie groups and Lie algebraic structures

Advisor:
Roland Donninger

Research Topic:
On self-similar blowup for wave maps

Advisor:
Christa Bücker, Sara Merino-Aceituno, Christian Schmeiser

Research Topic:
Models for cell differentiation and protein diffusion

Advisor:
Klaus Nordhausen

Research Topic:
Spatial blind source separation

Advisor:
Sara Merino Aceituno

Research Topic:
Kinetic theory applied to the study of the interaction between capillary networks and cell clustering in adipose tissue

Advisor:
Michael Pinsker

Research Topic:
tba

Advisor:
Peter Balazs

Research Topic:
Nonsmooth nonconvex optimization methods for acoustic signal processing

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

Research Topic:
Discrete polyharmonic functions and their applications in combinatorics

Advisor:
Anton Mellit

Research Topic:
Representation theory of double affine Hecke algebras

Advisor:
Paolo Giordano, Michael Kunzinger

Research Topic:
Generalized holomorphic functions

Advisor:
Roland Steinbauer, Michael Kunzinger

Research Topic:
Non-smooth spacetime geometry

Advisor:
Roland Donninger

Research Topic:
Stable blowup in the whole space for wave maps and Yang-Mills models

Advisor:
Otmar Scherzer

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

Advisor:
Martin Rubey

Research Topic:
Rotation invariant diagrammatic bases for invariant spaces

Advisor:
Balázs Szendrői

Research Topic:
Algebraic Geometry, investigating properties of Cox Rings

Advisor:
Ansgar Jüngel

Research Topic:
Nonlocal cross-diffusion systems; drift-diffusion models

Advisor:
Christa Cuchiero

Research Topic:
Signature based models in finance and their connections to affine and polynomial processes

Advisor:
Hendrik Bruin

Research Topic:
Ergodic Properties of Bratteli-Vershik Systems and Minimal Cantor Systems

Advisor:
Klaus Nordhausen

Research Topic:
Blind source separation with applications in mass spectrometry

Advisor:
Aleksey Kostenko

Research Topic:
Canonical systems, Weyl theory, and model operators

Advisor:
Elisa Davoli

Research Topic:
Effective theories for tunable materials

Advisor:
Mathias Beiglböck, Julio Backhoff

Research Topic:
tba

Advisor:
Adrian Constantin

Research Topic:
Mathematical aspects of geophysical fluid flows

Advisor:
Michael Kunzinger

Research Topic:
Lorentzian length spaces

Advisor:
Matthias Baaz

Research Topic:
Applications of extractive proof theory to number theory

Advisor:
Michael Feischl

Research Topic:
Adaptive algorithms for the stochastic Maxwell-Landau-Lifshitz-Gilbert equation

Advisor:
Vera Fischer

Research Topic:
Preserving and constructing maximal combinatorial families with forcing

Advisor:
Philipp Grohs

Research Topic:
Solving the Schrödinger equation using deep neural networks

Advisor:
Peter Elbau

Research Topic:
Inverse problems for trapped particles

Advisor:
Oliver Hahn

Research Topic:
Multi-scale asymptotic expansions for cosmological structure formation

Advisor:
Ulisse Stefanelli

Research Topic:
Variational Modeling of Molecular Geometries

Advisor:
Karlheinz Gröchenig

Research Topic:
Topics in sampling and time-frequency analysis

Advisor:
Georg Nawratil

Research Topic:
Computational tools for designing flexible quad surfaces

Advisor:
Joachim Hermisson

Research Topic:
Decoding haplotype information to explore gene flow and ancestral shared polymorphism

Advisor:
Vera Vértesi

Research Topic: Legendrian knots, open book decompositions and presentation of contact 3-manifolds

Advisor:
Dirk Praetorius

Research Topic:
hp-robust geometric multigrid for elliptic PDEs

Advisors:
Stefan Thurner, Jörg Menche

Research Topic:
Supply chain shock propagation and financial stability during crises

Advisor:
Nathanaël Berestycki

Research Topic:
Mixing and cover time profiles for random walks on graphs

Advisor:
Paolo Giordano, Michael Kunzinger

Research Topic:
Hyperanalytic generalized smooth functions and the Cauchy-Kowalevski theorem

Advisor:
Mathias Beiglböck

Research Topic:
Optimal transport

Advisor:
Ernö Robert Csetnek

Research Topic:
Splitting methods for optimization problems: theory and applications

Advisor:
Anton Arnold

Research Topic:
Large time behavior of kinetic equations

Advisor:
Mathias Beiglböck, Walter Schachermayer

Research Topic:
Trajectorial Otto calculus

Advisor:
David Fajman, Michael Eichmair

Research Topic:
On the Big Bang formation for cosmological solutions to non-vacuum Einstein equations

Advisor:
Nathanaël Berestycki, Marcin Lis

Research Topic: Random walk and loop representations in statistical mechanics

Advisor:
Peter Elbau

Research Topic:
Quantitative reconstructions in multi-modal optical coherence and photoacoustic tomography

Advisor:
Ulisse Stefanelli

Research Topic:
Variational methods for nonlinear evolution equations

Advisor:
Otmar Scherzer

Research Topic:
Mathematical signal and image processing for new generations of ultrasound devices

Advisor:
Christian Krattenthaler

Research Topic:
Some enumerative problems in group theory

Advisor:
Andreas Čap

Research Topic:
Relative Bernstein-Gelfand-Gelfand sequences for Lagrangean contact structures

Advisor:
Anton Mellit

Research Topic:
Describing the irreducible components of the parabolic global nilpotent cone

Advisor:
Emmanuel Schertzer

Research Topic:
tba

Advisor:
Jens Markus Melenk

Research Topic:
tba

Advisor:
Otmar Scherzer

Research Topic:
tba

Advisor:
Alin Bostan, Herwig Hauser

Research Topic:
Integer sequences arising in number theory, combinatorics and physics

Advisor:
Ivan Izmestiev

Research Topic:
Infinitesimal isometric deformations of smooth surfaces and polyhedra

Seamus Albion

Beatrice Andreolli

Georgi Angelov

Aleksandar Arandjelović

Beryl Ramadhian Aribowo

Björn Bahr

Daniel Bäumer

Lukas Baumgartner

Sara Bentrifa

Tobias Beran

Julius Berner

Lukas Bertsch

Simon Biberger

Sascha Biberhofer

Leo Brauner

Maximilian Brunner

Dimitri Bytchenkoff

Matteo Calisti

Miguel Antonio Cardona Montoya

Giancarlo Castellano

Andrea Chiesa

Damiano De Gaspari

Paulo Henrique de Souza Macedo Arruda

Jakob Deutsch

Moritz Dober

Johannes Carl Droschl

Alexandra Edletzberger

Simon Ellmeyer

Luis Alberto Escudero

Markus Fellner

Victoria Fiedler

Sara Fraschini

Leon Frischauf

Florian Fürnsinn

Moritz Gangl

Viola Garstenauer

Leon Gerard

Stefanos Giorgiadis

Rossella Giorgio

Hannah Götsch

Annemarie Grass

Zhangwen Guo

Daniel Haider

Eva-Maria Hainzl (Student Speaker)

Leon Happ

Levi Anton Haunschmid-Sibitz

Christoph Helmer

Tomasz Holynski

Alexandra Holzinger

Nai-Yu Hu

David Alexander Hulett

Kevin Islami

Nicolai Jork

Aditya Kapilavai

Mikhail Karapetyants

Ahmad Karimi

Iryna Karpenko

Djamel eddine Kebiche

Willi Kepplinger

Marlene Koelbing

Lukas Kogler

Sarah Koppensteiner

Jannis Körner

Lukas Koschat

Arvin Lamando

Minh Tri Le

Andrés Felipe Lerma Pineda

Michael Leumüller

Lukas Liehr

Daniel Linzmayer

Randy Llerena

Jean de Dieu Maniraguha

Annamaria Massimini

Martin Mayerhofer

Ružica Mijić

Julia Marie Millhouse

Jakob Möller

Mina Monadjem (Student Speaker)

Frederick Moscatelli

Carmela Moschella