Dissertationen

Abgeschlossene Dissertationen am Fachbereich Mathematik

Die nachfolgende Liste soll Ihnen einen kleinen Überblick über die in der letzten Zeit am Fachbereich Mathematik der TU Darmstadt erstellten Dissertationen geben.

Mixed-Integer Nonlinear Optimization of District Heating Networks

Lea Charlotte Rehlich

Betreuer/in: Prof. Dr. Marc Pfetsch
Structure theory and algorithms for highly regular colored graphs

Thomas Heinrich Schneider

https://tuprints.ulb.tu-darmstadt.de/29557/

Betreuer/in: Prof. Dr. Pascal Schweitzer
Classifications at the intersection of group and graph theory

Eda Kaja

Betreuer/in: Prof. Dr. Pascal Schweitzer
Einsatzszenarien und mögliche Effekte STACK-basierter Mathematikaufgaben im Ingenieurstudium des ersten Studienjahres

Ömer Faruk Genc

Betreuer/in: Prof. Dr. Regina Bruder
Intermittent Convex Integration in Mathematical Fluid Mechanics: Applications to the Euler Equations and the Chain Rule Problem

Miriam Buck

https://tuprints.ulb.tu-darmstadt.de/29324/

Betreuer/in: Stefano Modena, PhD
Minimal surfaces and surfaces of constant mean ccurvature in homogeneous spaces

Philipp Käse

https://tuprints.ulb.tu-darmstadt.de/28953/

Betreuer/in: Prof. Dr. Karsten Große-Brauckmann
Zur statistischen Analyse überparametrisierter tiefer neuronaler Netze trainiert durch Gradientenabstieg

Selina Katharina Drews

Betreuer/in: Prof. Dr. Michael Kohler
Generating systems for modular forms for the Weil representation and Hecke operators for orthogonal modular forms

Manuel Karl-Heinz Müller

https://tuprints.ulb.tu-darmstadt.de/29551/

Betreuer/in: Prof. Dr. Nils Scheithauer
Stochastic multilevel methods for deep learning

Isabel Jacob

Betreuer/in: Prof. Dr. Stefan Ulbrich
Period integrals of Kudla-Millson lifts and L-functions associated to vector valued modular forms

Ingmar Metzler

https://tuprints.ulb.tu-darmstadt.de/28711/

Betreuer/in: Prof. Dr. Jan Hendrik Bruinier
Unstructured finite volume methods for two-phase flows with high density ratios

Jun Liu

https://tuprints.ulb.tu-darmstadt.de/28266/

Betreuer/in: Dr.-Ing. Tomislav Maric
Efficient Algorithms for Symmetry Detection

Markus Anders

https://tuprints.ulb.tu-darmstadt.de/28257/

Betreuer/in: Prof. Dr. Pascal Schweitzer
Eigenvalue Optimization with respect to Shape-Variations in Electromagnetic Systems

Christine Herter

https://tuprints.ulb.tu-darmstadt.de/28783/

Betreuer/in: Prof. Dr. Winnifried Wollner
Geometry and Topology of Bipolar Minimal Surfaces in the 5-Sphere

Melanie Rothe

https://tuprints.ulb.tu-darmstadt.de/28164/

Betreuer/in: Prof. Dr. Elena Mäder-Baumdicker
On the Proof Complexity of Linear Programming Based Branch-and-Bound

Maximilian Gläser

https://tuprints.ulb.tu-darmstadt.de/28881/

Betreuer/in: Prof. Dr. Marc Pfetsch
Geophysical Flow Models: An Approach by Quasilinear Evolution Equations

Felix Brandt

https://tuprints.ulb.tu-darmstadt.de/27378/

Betreuer/in: Prof. Dr. Matthias Hieber
Hyperbolic and elliptic Eisenstein series in n-dimensional hyperbolic space

David Christian Klein

https://tuprints.ulb.tu-darmstadt.de/27466/

Betreuer/in: Dr. Anna-Maria von Pippich
Adapted Unitary Cocycles and Quantum Markov Processes: A Cohomological Approach

Felix Voigt

Betreuer/innen: Dr. Holger Grothe, Prof. Dr. Burkhard Kümmerer
Parameter Identification in Cahn-Hilliard Systems

Oliver Habrich

https://tuprints.ulb.tu-darmstadt.de/27849/

Betreuer/in: Prof. Dr. Herbert Egger
Perfect Prismatic F-Crystals and p-adic Shtukas in families

Anton Güthge

Betreuer/in: Prof. Dr. Torsten Wedhorn
On structure preserving simulations in non-linear electromagnetics, electric circuits, and efficient treatment of systems with memory

Vsevolod Shashkov

10.26083/tuprints-00027452

Betreuer/in: Prof. Dr. Herbert Egger
Brownian Motion with Limited Occupation Times

Dominic T. Schickentanz

https://tuprints.ulb.tu-darmstadt.de/26733

Betreuer/in: Prof. Dr. Frank Aurzada
Topological Quantum Markov Processes

Malte Ott

https://tuprints.ulb.tu-darmstadt.de/22028/

Betreuer/in: Prof. Dr. Burkhard Kümmerer
Proof-Theoretical Aspects of Nonlinear and Set-Valued Analysis

Nicholas Pischke

https://tuprints.ulb.tu-darmstadt.de/26584

Betreuer/in: Prof. Dr. Ulrich Kohlenbach
Characterizations of Synchronizability in Terms of Road-colored Graphs, Markov Chains, and Quantum Markov Processes

Albrun Knof

https://tuprints.ulb.tu-darmstadt.de/26533/

Betreuer/in: Prof. Dr. Burkhard Kümmerer
Competitive Analysis for Incremental Maximization

David Michael Weckbecker

https://tuprints.ulb.tu-darmstadt.de/26447

Betreuer/in: Prof. Dr. Yann Disser
Simulation and Optimization of Gas Transport Problems using Physics-Informed Neural Networks

Erik L. Strelow

https://tuprints.ulb.tu-darmstadt.de/26769

Betreuer/in: Prof. Dr. Jens Lang
Combinatorial Approaches to the Group Isomorphism Problem

Jendrik Brachter

https://tuprints.ulb.tu-darmstadt.de/26387/

Betreuer/in: Prof. Dr. Pascal Schweitzer
Robust shape optimization of electromechanical energy converters

Björn Polenz

https://tuprints.ulb.tu-darmstadt.de/28161/

Betreuer/in: Prof. Dr. Stefan Ulbrich
Simulation based Optimization of Multiphase Flow in the context of Wetting Phenomena

Elisabeth Diehl

https://tuprints.ulb.tu-darmstadt.de/26347

Betreuer/in: Prof. Dr. Stefan Ulbrich
Gradient robust methods for nearly incompressible materials

Seshadri Basava

https://tuprints.ulb.tu-darmstadt.de/26463

Betreuer/in: Prof. Dr. Winnifried Wollner
Asymptotic Analysis and Numerical Approximation of some Partial Differential Equations on Networks

Nora Philippi

https://tuprints.ulb.tu-darmstadt.de/24732

Betreuer/in: Prof. Dr. Herbert Egger
Rate of Convergence of Image Classifiers Based on Convolutional Neural Networks

Benjamin Walter

https://tuprints.ulb.tu-darmstadt.de/24333

Betreuer/in: Prof. Dr. Michael Kohler
Continuing the Quest for a Logic Capturing Polynomial Time - Potential, Limitations, and Interplay of Current Approaches

Moritz Lichter

https://tuprints.ulb.tu-darmstadt.de/24244/

Betreuer/in: Prof. Dr. Pascal Schweitzer
Mesh and model adaption for hyperbolic balance laws

Hrishikesh Joshi

https://tuprints.ulb.tu-darmstadt.de/23048

Betreuer/in: Prof. Dr. Jan Giesselmann
Persistence problems for fractional processes

Martin Kilian

https://tuprints.ulb.tu-darmstadt.de/22949/

Betreuer/in: Prof. Dr. Frank Aurzada
An unstructured Finite-Volume Level Set / Front Tracking method for capillary flows

Tobias Tolle

https://tuprints.ulb.tu-darmstadt.de/23366

Betreuer/in: Dr.-Ing. Tomislav Maric
Adaptive Multi-Level Monte Carlo and Stochastic Collocation Methods for Hyperbolic Partial Differential Equations with Random Data on Networks

Elisa Strauch

https://tuprints.ulb.tu-darmstadt.de/23310

Betreuer/in: Prof. Dr. Jens Lang
Integral models of moduli spaces of shtukas with deep level structures (Ganzzahlige Modelle von Modulräumen von Shtukas mit tiefen Levelstrukturen)

Patrick Bieker

https://tuprints.ulb.tu-darmstadt.de/22825/

Betreuer/in: Prof. Dr. Timo Richarz
Green functions and arithmetic generating series on Hilbert modular surfaces

Johannes J. Buck

https://tuprints.ulb.tu-darmstadt.de/22972

Betreuer/in: Prof. Dr. Jan Hendrik Bruinier
A Geometric Approach to the Projective Tensor Norm

Sandra Lang

https://tuprints.ulb.tu-darmstadt.de/20331/

Betreuer/in: Prof. Dr. Burkhard Kümmerer
Sparse Recovery Under Side Constraints Using Null Space Properties

Frederic Matter

Betreuer/in: Prof. Dr. Marc Pfetsch
Data Driven Estimation of Wall Shear Stress from Magnetic Resonance Imaging

Gabriel Teschner

https://tuprints.ulb.tu-darmstadt.de/23218/

Betreuer/in: Prof. Dr. Herbert Egger
Finite Element Mass Lumping for H(div) and H(curl)

Bogdan Radu

https://tuprints.ulb.tu-darmstadt.de/21948/

Betreuer/in: Prof. Dr. Herbert Egger
A Synthetic Perspective on (infinity,1)-Category Theory: Fibrational and Semantic Aspects

Jonathan Weinberger

https://tuprints.ulb.tu-darmstadt.de/20716/

Betreuer/in: Prof. Dr. Thomas Streicher

Abgeschlossene Dissertationen am Fachbereich Mathematik

Mixed-Integer Nonlinear Optimization of District Heating Networks

Structure theory and algorithms for highly regular colored graphs

Classifications at the intersection of group and graph theory

Einsatzszenarien und mögliche Effekte STACK-basierter Mathematikaufgaben im Ingenieurstudium des ersten Studienjahres

Intermittent Convex Integration in Mathematical Fluid Mechanics: Applications to the Euler Equations and the Chain Rule Problem

Minimal surfaces and surfaces of constant mean ccurvature in homogeneous spaces

Zur statistischen Analyse überparametrisierter tiefer neuronaler Netze trainiert durch Gradientenabstieg

Generating systems for modular forms for the Weil representation and Hecke operators for orthogonal modular forms

Stochastic multilevel methods for deep learning

Period integrals of Kudla-Millson lifts and L-functions associated to vector valued modular forms

Unstructured finite volume methods for two-phase flows with high density ratios

Efficient Algorithms for Symmetry Detection

Eigenvalue Optimization with respect to Shape-Variations in Electromagnetic Systems

Geometry and Topology of Bipolar Minimal Surfaces in the 5-Sphere

On the Proof Complexity of Linear Programming Based Branch-and-Bound

Geophysical Flow Models: An Approach by Quasilinear Evolution Equations

Hyperbolic and elliptic Eisenstein series in n-dimensional hyperbolic space

Adapted Unitary Cocycles and Quantum Markov Processes: A Cohomological Approach

Parameter Identification in Cahn-Hilliard Systems

Perfect Prismatic F-Crystals and p-adic Shtukas in families

On structure preserving simulations in non-linear electromagnetics, electric circuits, and efficient treatment of systems with memory

Brownian Motion with Limited Occupation Times

Topological Quantum Markov Processes

Proof-Theoretical Aspects of Nonlinear and Set-Valued Analysis

Characterizations of Synchronizability in Terms of Road-colored Graphs, Markov Chains, and Quantum Markov Processes

Competitive Analysis for Incremental Maximization

Simulation and Optimization of Gas Transport Problems using Physics-Informed Neural Networks

Combinatorial Approaches to the Group Isomorphism Problem

Robust shape optimization of electromechanical energy converters

Simulation based Optimization of Multiphase Flow in the context of Wetting Phenomena

Gradient robust methods for nearly incompressible materials

Asymptotic Analysis and Numerical Approximation of some Partial Differential Equations on Networks

Rate of Convergence of Image Classifiers Based on Convolutional Neural Networks

Continuing the Quest for a Logic Capturing Polynomial Time - Potential, Limitations, and Interplay of Current Approaches

Mesh and model adaption for hyperbolic balance laws

Persistence problems for fractional processes

An unstructured Finite-Volume Level Set / Front Tracking method for capillary flows

Adaptive Multi-Level Monte Carlo and Stochastic Collocation Methods for Hyperbolic Partial Differential Equations with Random Data on Networks

Integral models of moduli spaces of shtukas with deep level structures (Ganzzahlige Modelle von Modulräumen von Shtukas mit tiefen Levelstrukturen)

Green functions and arithmetic generating series on Hilbert modular surfaces

A Geometric Approach to the Projective Tensor Norm

Sparse Recovery Under Side Constraints Using Null Space Properties

Data Driven Estimation of Wall Shear Stress from Magnetic Resonance Imaging

Finite Element Mass Lumping for H(div) and H(curl)

A Synthetic Perspective on (infinity,1)-Category Theory: Fibrational and Semantic Aspects