PhD Seminar

Past semesters

• Summer Term 2025

  Leif Jacob
  How to calculate sheaf cohomology of a toric variety

  Lukas Grund

  Jamal Drewlo
  How to generalize periodicity

  Emilie Pirch

• Winter Term 2024 / 2025

  Simon Murmann
  How to solve a PDE 1
  How to solve a PDE 2

  TImon Weinmann
  Coherent States and Traces of Operators

  Ian Zimmermann
  Dirichlet Forms 1
  Dirichlet Forms 2

  Marta Imke
  Chaos Game and Fractal Generation

• Summer Term 2024

  Jamal Drewlo
  Constructions of Toeplitz subshifts in topological dynamics

  Simon Puchert
  Nonlinear canonical compactifiability

  Simon Murmann
  An approach to study (quasi-)linear evolution equations

  Lino Haupt
  Transfinite Ordinals, Measurable Functions and an Application

  Zeyu Kang
  Spectral theory of dynamical systems: an introduction

• Winter semester 2023 / 2024

  Simon Puchert:
  "Harmonic functions on planar graphs via circle packings"
  
  Oleksiy Köpp:
  "Decay of Green functions on graphs"
  
  Lino Haupt:
  "Introduction to the Anosov-Katok method"
  
  Romaric Kana Nguedia:
  "Smoothing properties of the fractional Gauss-Weierstrass semi-group in Morrey smoothness spaces"
  
  Ian Zimmermann:
  "An introduction to criticality theory"
  
  Christian Lejsek:
  "On one Photon Scattering in non-relativistic Quantum Field Theory"
  
  Elias Zimmermann:
  "Pointwise ergodic theory beyond amenable groups"

• summer semester 2023

  (organized by Lino Haupt, Leif Jacob, Oleksiy Sukaylo and Julian Wendt)

  M.Sc. Jakob Schuhmacher (Differential Geometry):
  "Continuous Translation-Invariant Curvature Measures" abstract

  M.Sc. Dennis Dänzer (Stochastics):
  "A game-theoretic approach to a simple parking problem" abstract

  M.Sc. Timon Weinmann (Analysis, Imperial College London):
  "Lieb-Thirring Inequalities in Hyperbolic Space"

  M.Sc. Manuel Quaschner (Differential Geometry):
  "Non-collision singularities in n-body systems" abstract

  M.Sc. Guillaume Neuttiens (Analysis):
  "An introduction to Lie groups thermodynamics" abstract

  M.Sc. Stefan Perko (Stochastics):
  "Modified Equations for Stochastic Gradient Optimization" abstract

• winter semester 2022/23

  (organized by Oleksiy Sukaylo and Julian Wendt)

  M.Sc. Sooppawat Thipyarat (Stochastics):
  "Uniform approximation for a canonical stochastic differential equation" abstract

  M.Sc. Zhen Liu (Analysis):
  "New Generalizations of Besov-type spaces and Triebel-Lizorkin-type spaces" abstractpdf, 80 kb

  B.Sc. Simon Murmann (Analysis):
  "The BMS-Conjecture about L^p-positivity preserving manifolds" abstractpdf, 83 kb

  M.Sc. Lukas Gehring (Numerics):
  "A conically weighted Alexandrov estimate"

  M.Sc. Leandro Meier (Algebra): 
  "Sym(N)-Noetherianity of Polynomial Algebras and Topological Spaces" abstractpdf, 37 kb

• summer semester 2022

  (organized by Oleksiy Sukaylo and Julian Wendt)

  M.Sc. Julian Wendt (Stochastics):
  "An introduction to stochastic games"  abstract

  M.Sc. Daan van Dijk (Analysis):
  "An Overview of Interpolation Theory with Application to (S)PDEs"   abstract

  Dipl. Math. Evgenii Antonov (Differential Geometry):
  "An overview of Nijenhuis geometry and applications to F-manifolds theory" abstract

  M.Sc. Marian Ritsch (Stochastics):
  "A stochastic energy balance model with moving ice line"

  M.Sc. Simon Puchert (Analysis):
  "A continued fraction related to the Gamma function" abstract

  M.Sc. Jakob Henkel (Differential Geometry):
  "Geometric inequalities and Steiner symmetrization" abstract

• winter semester 2021/22

  (organized by Oleksiy Sukaylo and Julian Wendt)

  M.Sc. Ian Zimmermann (Analysis)
  "Stochastic completeness and some (non-)linear characterizations"  abstract

  M.Sc. Sofia Brenner (Algebra)
  "Ideals in the center of a group algebra" abstract

  M.Sc. Verena Köpp (Stochastics)
  "Synchronization and upper semicontinuity of random attractors" abstract

  Dr. Benjamin Hinrichs (Mathematical Physics)
  "Estimating the Decay of Eigenfunctions of Schrödinger Operators" abstract

• summer semester 2021

  (organized by Oleksiy Sukaylo and Julian Wendt)

  M.Sc. Oleksiy Sukaylo (Analysis)
  "Boundaries of hyperbolic graphs"  abstract

  M.Sc. Zhen Liu (Analysis)
  "The Characterizations of Two Types of Function Spaces on Non-homogeneous Metric Measure Spaces"  abstract

  M.Sc. Jakob Schuhmacher (Differential Geometry)
  "Curvature Measures"  abstract

  M.Sc. Simon Puchert (Analysis)
  "On the moving sofa problem"  abstract

  M.Sc. Sooppawat Thipyarat (Stochastics)
  "Homogenization of the skew Brownian motion" abstract

• winter semester 2020/21

  (organized by Oleksiy Sukaylo and Julian Wendt)

  M.Sc. Julian Wendt (Stochastics)
  "The Maximum Principle and Controlled Diffusion"

  M.Sc. Stefan Perko (Stochastics)
  "Optimal Control of Stochastic Modified Equations - An Introduction using SGD"

  M.Sc. Benedikt Heiland (Stochastics)
  "Risk-neutral pricing in rough volatility models"

  M.Sc. Benjamin Böhm (Theoretical Computer Science)
  "Connections between theoretical and algorithmic Proof Systems" 

  M.Sc. Jakob Henkel (Differential Geometry)
  "SL(n)-equivariant Valuations on convex Bodies"

• winter semester 2019/20

  (organized by Benjamin Hinrichs, Daniel Sell, Oleksiy Sukaylo and Julian Wendt)

  M.Sc. Stephanie Reinhardt (Algebra)
  "Finite Fields (and AΓL)" 
  

  M.Sc. Ian Zimmermann (Analysis)
  "Reaction vs. Diffusion: Blow-up of solutions of an abstract semilinear parabolic equation" 

  M.Sc. Daniel Dörfler (Optimization)
  "A Benson-Type Algorithm for Bounded Convex Vector Optimization Problems with Vertex Selection"

  Dr. Maike Klein (Stochastics, TU Wien)
  "On the gain of collaboration"

  M.Sc. Daniel Sell (Analysis)
  "On subshifts with leading sequences"

  M.Sc. Melchior Wirth (Analysis)
  "Sobolev Inequalities, Heat Kernel Estimates, and Eigenvalue Asymptotics on Graphs" 

  Dr. Robert Hesse (Stochastics)
  "Dynamics of SDEs driven by a Fractional Brownian Motion with Hurst parameter H > 1/2" 

  M.Sc. Bento Natura (Combinatorial Optimization, London School of Economics and Political Science)
  "Solving Linear Programs Faster"

  M.Sc. Jan Schumm (Differential Geometry)
  "C-projective equivalence & quantum integrability of geodesic flows"

  M.Sc. Sofia Brenner (Algebra)
  "Blocks of finite groups and the Malle-Navarro conjecture"  

  Dr. Markus Dafinger (Differential Geometry)
  "Existence of a Variational Principle for PDEs with Symmetries and Current Conservation"  

  M.Sc. Marc Hovemann (Theoretical Numerics)
  "Besov-Morrey spaces and differences"

• summer semester 2019

  (organized by Benjamin Hinrichs and Daniel Sell)

  M.Sc. Till Hauser (Dynamical Systems)
  "Some comments on entropy and a generalization suitable for Delone dynamical systems"

  M.Sc. Marian Ritsch (Stochastics)
  "Analysis of a Lévy-driven Ornstein-Uhlenbeck process"

  M.Sc. Julius Lang (Differential Geometry)
  "Three problems on Finsler surfaces"

  M.Sc. Benjamin Hinrichs (Mathematical Physics)
  "Some Rigorous Results on the Nelson Model"

  M.Sc. Oliver Siebert (Mathematical Physics)
  "Positive commutators in the context of thermal ionization"

  M.Sc. André Prater (Algebra)
  "Centers of group algebras: Some bases; pros and cons"

  M.Sc. Verena Köpp (Stochastics)
  "Dynamics of random lattice equations"

  M.Sc. Louis Soares (Dynamical Systems)
  "On the distribution of resonances for hyperbolic surfaces"

  M.Sc. Paul Wabnitz (Universität Bremen)
  "Transfer operator approach to Selberg's zeta function"
  

  Dipl.-Math. Christian Oertel (Dynamical Systems)
  "Model Sets and Entropy"
  

   Dr. Glenn Byrenheid (Analysis)
  "Non-optimality of rank-1 lattice sampling"

• winter semester 2018/19

  (organized by Benjamin Hinrichs and Daniel Sell)

  M.Sc. Daniel Sell (Analysis)
  "About cocycles on simple Toeplitz subshifts"

  M.Sc. Stefan Engelhardt (Stochastics)
  "How to solve coupled FBSDEs with the method of decoupling fields"

  B.Sc. Simon Puchert (Analysis)
  "Resolvable graphs and harmonic functions"

  M.Sc. Franziska Sieron (Analysis)
  "On the existence of periodic points in subshifts of finite type"

  M.Sc. Jan Kotrbatý (Differential Geometry)
  "Octonions and the group Spin(9)"

  M.Sc. Konstantin Vorushilov (Differential Geometry, Lomonosov Moscow State University)
  "Jordan-Kronecker invariants of Lie algebras"

  M.Sc. Vladislav Kibkalo (Differential Geometry, Lomonosov Moscow State University)
  "Topology of foliated phase space for an integrable Hamiltonian system"

  M.Sc. Robert Hesse (Stochastics)
  "Solving Stochastic Evolution Equations (almost) without stochastics"

  Dr. Maike Klein (Stochastics, TU Wien)
  "Measure Optimization with Tchebycheff Systems"

  B.Sc. Jakob Henkel (Differential Geometry)
  "Long geodesics on Alexandrov spaces and convex hypersurfaces"

  B.Sc. Sebastian Uschmann (Analysis)
  "Cohomology of Dirichlet Forms"

  M.Sc. David Krieg (Theoretical Numerics)
  "Recovering functions from random data"

  M.Sc. Flavia Remo (Dynamical Systems)
  "Saddle-node bifurcations in hybrid-forced systems"

  M.Sc. Florentin Münch (Max Planck Institute for Mathematics in the Sciences, Leipzig)
  "Discrete Ricci curvature and Liouville property"

• summer semester 2018

  (organized by Benjamin Hinrichs, Maike Klein and Daniel Sell)

  Vadim Platonov (Stochastics, Lomonosov Moscow State University)  
  "The optimality as a geometric characterization for Skorokhod embedding"

  Vadim Platonov (Stochastics, Lomonosov Moscow State University)
  "Skorokhod embedding for Geometric Brownian motion and one-jump martingales"

  M.Sc. Melchior Wirth (Analysis)
  "Covering the plane with triangles

  M.Sc. Iaroslava Korenovska (Stochastics, National Academy of Science of Ukraine)
  "Distribution of heavy points in coalescing Brownian systems"

  M.Sc. Marc Hovemann (Theoretical numerics)    
  "Characterization of Triebel-Lizorkin Spaces by Differences"

  M.Sc. Lena Hartmann (Stochastics)
  "Stochastic Transport Equations"

  M.Sc. Laura Gay (Stochastics, École Centrale de Lyon)
  "Risk measures in a temperature model"

  Dr. Holger Langenau (TU Chemnitz)
  "Squaring the square - Counting all possible partitions of a square“

  M.Sc. Jan Schumm (Differential geometry)
  "Geodesics in the Papapetron-Majumdar metric: A Newtonian problem"

  M.Sc. Markus Lange (Mathematical Physics)
  "The hydrogen atom in dipole approximation"

  M.Sc. Maximilian Wechsung (Stochastics)
  "Rates of Convergence of M-Estimators and Bracketing Numbers"

• winter semester 2017/18
• summer semester 2017
• winter semester 2016/17
• summer semester 2016
• winter semester 2015/16
• summer semester 2015
• winter semester 2014/15
• summer semester 2014
• winter semester 2013/14
• summer semester 2013