Students – VSM

Advisor:
Nathanaël Berestycki

Research Topic:
Free Boundary Dimers and TSSCPPs

Advisor:
Christian Krattenthaler

Research Topic:
Topics in combinatorics and special functions

Advisors:
Marcin Lis, Nathanaël Berestycki

Research Topic:
Two-dimensional statistical mechanics and the Gaussian free field

Advisor:
Dirk Praetorius

Research Topic:
Numerics of PDEs, Computational micromagnetism, numerics and theory of the Landau-Lifshitz-Gilbert equation

Advisor:
Vladimir Veliov

Research Topic:
Regularity properties of mappings and applications

Advisor:
Philipp Grohs

Research Topic:
Neural network based solutions to the Schrödinger Equation

Advisor:
Arnold Neumaier

Research Topic:
Connections between distributional and synthetic curvature bounds

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:
Benedikt Stufler

Research Topic:
Scaling limits

Advisor:
Udo Hertrich-Jeromin

Research Topic:
Surface ends and extensions

Advisor:
Balázs Szendrői

Research Topic:
Quot Schemes in the McKay Correspondence: Geometry, combinatorics, representation theory

Advisor:
Otmar Scherzer

Research Topic:
Image processing for medical ultrasound

Advisor:
Roland Donninger

Research Topic:
On a stability analysis of wave maps in the future light cone

Advisor:
Benedikt Stufler

Research Topic:
Discrete random structures

Advisor:
Franz Schuster

Research Topic:
tba

Advisor:
Michael Pinsker

Research Topic:
Identities in Taylor Algebras

Advisor:
Peter Balazs

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

Advisor:
Mate Gerencser

Research Topic:
Stochastic PDEs and Renormalization

Advisor:
Monika Ludwig

Research Topic:
Fractional perimeters

Advisor:
Roland Steinbauer, Michael Kunzinger

Research Topic:
Non-smooth space-time geometry

Advisor:
Martin Goldstern

Research Topic:
tba

Advisor:
Ulisse Stefanelli

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

Advisor:
Michael Wallner

Research Topic:
Arithmetic, Asymptotic and Lacunary Properties of Generating Functions for Lattice Paths and Integer Partitions

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:
Juan Pablo Aguilera

Research Topic:
Proof theory and ordinal analysis. Classification of total functions of set theories.

Advisor:
Elisa Davoli

Research Topic:
tba

Advisor:
Alexander Glazman

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

Advisor:
Otmar Scherzer

Research Topic:
New inverse problems of super-resolved microscopy

Advisor:
Alberto Minguez, Harald Grobner

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

Advisor:
Michael Kunzinger

Research Topic:
Synthetic Lorentzian Geometry and Non-smooth Differential Geometry

Advisor:
José Luis Romero

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

Advisor:
Oliver Hahn

Research Topic:
Numerical methods for PDEs in computational cosmology

Advisor:
Michael Pinsker

Research Topic:
Computational complexity of infinite-domain constraint satisfaction problems

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:
Dirk Praetorius

Research Topic:
Functional estimates for BEM

Advisor:
Otmar Scherzer

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

Advisors:
Christian Krattenthaler, Alin Bostan

Research Topic:
Differential equations in positive characteristics

Advisor:
Ilse Fischer

Research Topic:
Topics on alternating sign arrays: Cauchy type identities and bumpless pipe dreams

Advisor:
Philipp Petersen

Research Topic:
Mathematics of machine learning

Advisor:
Nawid Siassi

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

Advisor:
Christian Krattenthaler

Research Topic:
tba

Advisor:
Roland Steinbauer

Research Topic:
Foundational topics in metric geometry and their counterparts in Lorentzian length spaces

Advisor:
Elisa Davoli, Giovanni Di Fratta

Research Topic:
Nonlocal-to-local analysis in micromagnetics

Advisor:
Andreas Čap

Research Topic:
Parabolic geometries and BGG-sequences

Advisor:
Lyubomyr Zdomskyy

Research Topic:
Cardinalities of spaces satisfying selection principles

Advisor:
Peter Balazs

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

Advisor:
Elisa Davoli, Giovanni Di Fratta

Research Topic:
Variational analysis of magnetic skyrmions

Advisor:
Marcin Lis

Research Topic:
discrete spin systems, the dimer model and the loop-soup

Advisor:
Ansgar Jüngel

Research Topic:
Nonlinear PDEs, Entropy method

Advisor:
Ansgar Jüngel

Research Topic:
Entropy methods for cross-diffusion systems

Advisors:
Christian Krattenthaler, Florian Schreier-Aigner

Research Topic:
Symmetric functions and cluster structures

Advisor:
Andreas Körner

Research Topic:
Modelling, Analysis and Simulation of the Endocrine System

Advisor:
Bernhard Lamel

Research Topic:
Several complex variables

Advisor:
Michael Feischl

Research Topic:
Adaptive finite element methods for time-dependent PDEs

Advisor:
Radu Ioan Boţ

Research Topic:
Continuous-time approaches to saddle point problems

Advisor:
Fabio Toninelli

Research Topic:
Random Geometric Graphs

Advisor:
Paolo Giordano; Michael Kunzinger

Research Topic:
Applications of generalized smooth functions

Advisor:
Radu Ioan Boţ

Research Topic:
Continuous time approaches for non-smooth optimization

Advisors:
Martin Ehler, Anna Breger

Research Topic:
Curve-based data representations for improved visualization and beyond

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:
Nathanaël Berestycki

Research Topic:
Aspects of the spectral geometry of Liouville Quantum Gravity

Advisor:
Joachim Schöberl, Ilaria Perugia

Research Topic:
Scalable solvers for PDEs

Advisor:
Peter Balazs, Karlheinz Gröchenig

Research Topic:
Localized, fusion and tensors of frames

Advisor:
Vladimir Kazeev

Research Topic:
Low-rank tensor approximation for the data-driven solution of PDEs

Advisor:
Philipp Grohs

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

Advisor:
Sandra Müller

Research Topic:
Derived models of determinacy

Advisor:
Juan Pablo Aguilera Ozuna

Research Topic:
Three notions of determinacy in second-order arithmetic and beyond

Advisor:
Peter Balazs

Research Topic:
Operator-Quantization and Deformation on the Heisenberg Modules

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

Advisors:
Balázs Szendrői, Ilse Fischer

Research Topic:
Enumerative problems in algebraic geometry and combinatorics

Advisor:
Karl Grill

Research Topic:
Property B and the probabilistic method

Advisor:
Diana Stoeva

Research Topic:
Frame Multiplier Theory

Advisor:
Michael Kunzinger

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

Advisor:
Michael Eichmair; Zsolt Lavicza, Marko Lüftenegger

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

Advisors:
Anton Mellit, Vera Vértesi

Research Topic:
Topological quantum field theories in contact topology

Advisor:
Christian Müller

Research Topic:
Discrete structures in Laguerre geometry

Advisor:
Vera Fischer

Research Topic:
Descriptive complexity of combinatorial objects in forcing extensions

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:
Fabian Mußnig

Research Topic:
Tensor-valued valuations on convex functions

Advisors:
Clemens Sämann, Roland Steinbauer

Research Topic:
Applications of synthetic Lorentzian geometry in quantum gravity

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:
Peter Balazs

Research Topic:
Nonsmooth nonconvex optimization methods for acoustic signal processing

Advisor:
Ansgar Jüngel

Research Topic:
tba

Advisor:
Michael Feischl

Research Topic:
tba

Advisor:
Paolo Giordano, Michael Kunzinger

Research Topic:
Generalized holomorphic functions

Advisor:
José Luis Romero

Research Topic:
Repulsive point processes in functional and signal analysis

Advisor:
Roland Donninger

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

Advisor:
Ivan Izmestiev

Research Topic:
Towards a discrete Bochner method

Advisor:
Ansgar Jüngel

Research Topic:
Chemotaxis compressible Navier-Stokes equations modeling vascular network formation

Advisor:
Fabio Toninelli

Research Topic:
tba

Advisor:
Balázs Szendrői

Research Topic:
Investigating the finite generation of Cos Rings of Calabi-Yau threefolds

Advisor:
Yurii Malitskyi

Research Topic:
Computational Optimization

Advisors:
Roland Steinbauer, Chiara Rigoni

Research Topic:
Topics in Non-Smooth Lorentzian Geometry

Advisor:
Mathias Beiglböck, Walter Schachermayer

Research Topic:
Weak optimal transport

Advisor:
Adrian Constantin

Research Topic:
Mathematical aspects of geophysical flows

Advisor:
Hendrik Bruin

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

Advisor:
Ilse Fischer

Research Topic:
Topics on alternating sign matrices, pipe dreams and plane partitions

Advisor:
Elisa Davoli

Research Topic:
Effective theories for tunable materials

Advisor:
Mathias Beiglböck, Julio Backhoff

Research Topic:
tba

Advisor:
Ekaterina Fokina

Research Topic:
Isomorphism relations on classes of c.e. algebras

Advisor:
Adrian Constantin

Research Topic:
Mathematical aspects of geophysical fluid flows

Advisor:
Ivan Izmestiev

Research Topic:
Discrete Differential Geometry

Advisor:
Radu Boţ

Research Topic:
Stochastic differential equations for optimization and monotone inclusions

Advisor:
Peter Elbau

Research Topic:
Inverse problems for trapped particles

Advisor:
Oliver Hahn

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

Advisor:
Michael Pinsker

Research Topic:
tba

Advisor:
Christian Krattenthaler

Research Topic:
Tiling enumeration

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:
Juan Pablo Aguilera

Research Topic:
Between Arithmetic and Large Cardinals

Advisor:
Otmar Scherzer

Research Topic:
Phase retrieval and its application in diffraction tomography

Advisors:
Stefan Thurner, Jörg Menche

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

Advisor:
Mathias Beiglböck

Research Topic:
Optimal transport

Advisor:
Ernö Robert Csetnek

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

Advisor:
Elisa Davoli

Research Topic:
tba

Advisor:
David Fajman, Michael Eichmair

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

Advisors:
Michael Kunzinger, Chiara Rigoni

Research Topic:
Distributional and synthetic curvature bounds in semi-Riemannian geometry

Advisor:
Otmar Scherzer

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

Advisor:
Sandra Müller

Research Topic:
Inner Model Theory

Advisor:
Christian Krattenthaler

Research Topic:
Some enumerative problems in group theory

Advisor:
Michael Drmota

Research Topic:
Additive functionals on random discrete structures

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:
Mathematical models for parapatric speciation

Advisor:
Jens Markus Melenk

Research Topic:
tba

Advisor:
Ansgar Jüngel

Research Topic:
Cross-diffusion systems for tumor growth: finite-volume approximation and stability analysis

Advisor:
Otmar Scherzer

Research Topic:
Combining the transport of intensity and the transport of phase qeuastions for phase retrieval

Advisor:
Michael Feischl

Research Topic:
Analyt. u. num. Koppelung im Mikromagnetismus

Advisor:
Ivan Izmestiev

Research Topic:
Infinitesimal isometric deformations of smooth surfaces and polyhedra

Advisors:
Chiara Rigoni, Michael Kunzinger

Research Topic:
Geometry of non-smooth Lorentzian and sub-Lorentzian spaces

Melda Akyazi

Seamus Albion

Tomás Alcalde López

Michele Aldè

Georgi Angelov

Gunnar Arctaedius

Phillip Josef Bachler

Björn Bahr

Daniel Bäumer

Lukas Baumgartner

Philipp Beltran

Sara Bentrifa

Lukas Bertsch

Simon Biberger

Andras Bonk (Student Speaker)

Niccolò Bosio

Leo Brauner

Johanna Brunar

Dimitri Bytchenkoff

Marco Cacace

Xiaxing Cai

Matteo Calisti

Nick Chapman

Andrea Chiesa

Manosij Ghosh Dastidar

Damiano De Gaspari

Paulo Henrique de Souza Macedo Arruda

Anton Fernández Dejean

Jakob Deutsch

Moritz Dober

Yakun Dong

Johannes Carl Droschl

Darius Erös

Luis Alberto Escudero

Alejandro Estrada Llesta

Roman Feller

Victoria Fiedler

Sara Fraschini

Alexander Freiszlinger

Leon Frischauf

Florian Fürnsinn

Moritz Gangl

Jonathan García Rebellón

Viola Garstenauer

Mona Gatzweiler

Sebastian Gieger

Rossella Giorgio

Zhangwen Guo

Valentin Haberl

Daniel Haider

Leon Happ

Lorca Heeney-Brockett

Maria Heitzinger

Peter Hirvonen

Julia Hörmayer

Clara Horvath

Nai-Yu Hu

Amanda Huber

David Alexander Hulett

Dawid Ignasiak

Kevin Islami

Mikhail Karapetyants

Clemens Karner

Djamel eddine Kebiche

Willi Kepplinger

Jakob Klein

Lukas Kogler

Lukas Köhldorfer

Denis Konov

Sarah Koppensteiner

Lukas Koschat

Thibaut Kouptchinsky

Arvin Lamando

Minh Tri Le

Andrés Felipe Lerma Pineda

Michael Leumüller

Fabián Levicán

Daniel Linzmayer

Jerielle Malonzo

Jean de Dieu Maniraguha