Forschungsseminar Analysis

Dezember

• Henrik Schumacher (RWTH Aachen)
  Whether a knot is hard lies in the eye of the beholder

November

• Hanne Hardering (TU Dresden)
  Geometric Finite Elements

September

• Claus Ernst (Western Kentucky University)
  The ropelengths of alternating Montesinos links are proportional to their crossing numbers
• Yannick Meiners (Uni Osnabrück)
  Optimal Quadrature on Fractional Spaces

Juli

• Ulrich Menne (National Taiwan Normal University)
  Rectifiability and pointwise differentiability of higher order

Juni

• Simon Blatt (University of Salzburg)
  Degenerate and Singular Fractional Equations and Optimally Embedded Submanifolds
• Hana Dal Poz Kourimska (University of Potsdam)
  The power of the reach in set reconstruction

Mai

• Andrii Shydlich (National Academy of Sciences of Ukraine)
  Nonlinear approximation of weighted Wiener classes of functions of several variables in different metrics
• Friedrich Philipp (TU Ilmenau)
  Error bounds on Koopman-based techniques in learning dynamical systems
• Oleh Melnyk
  Square-root LASSO: noise-blind, tuning-free method for sparse regression with global linear convergence

März

• Tim Pöschl (TU Freiberg)
  Probabilistic Error bounds for the Moving Least Squares (MLS) approximation on scattered data
• Robert Plato (Universität Siegen)
  Regularization of linear ill-posed problems with logarithmic source representable solutions in Banach spaces

Januar

• Nicolas Nagel (TU Chemnitz)
  Universally Optimal Point Sets
• Helmut Harbrecht (Universität Basel)
  Low-rank approximation of high-dimensional functions in isotropic and anisotropic Sobolev spaces

Dezember

• Felix Bartel (TU Chemnitz)
  Exact \(L_2\) Marcinkiewicz-Zygmund inequalities

November

• Felix Bartel (TU Chemnitz)
  Sampling recovery in Bochner spaces and applications to parametric PDEs with random inputs
• Maik Schwuchow & Prof. Angela Thränhardt (TU Chemnitz)
  Monte-Carlo simulation of particle hopping and recombination
• Sergey Tikhonov (ICREA, CRM Barcelona)
  Marcinkiewicz–Zygmund inequalities in Banach spaces

Oktober

• Carlos Peon Nieto
  Kerr-de Sitter-like Metrics: Structure and Characterization Results

Juli

• Simon Blatt (Paris Lodron University of Salzburg)
  Analyticity of Solutions to Fractional Partial Differential Equations
• Peter Mathé (Weierstraß Institute for Applied Analysis and Stochastics)
  Tractability of linear ill-posed problems in Hilbert space
• Erich Kobler (Universitätsklinikum Bonn)
  Learning Gradually Non-convex Image Priors Using Score Matching
• Malte Kampschulte (Charles-University Prague)
  Limits of invertible Sobolev functions: Links, currents and their convergence

Juni

• Henrik Schumacher (TU Chemnitz/University of Georgia)
  CoBarS: Fast reweighted sampling for polygon spaces in any dimension

März

• Ian Sloan (UNSW Australia)
  High dimensional approximation – making life easy with kernels
• Andrew Haar (University of Bonn)
  A Spline Frame Characterization for Sobolev Spaces

Februar

• Holger Langenau (TU Chemnitz/WH Zwickau)
  A brief introduction to Markov-type inequalities with mixed norms

Dezember

• Henrik Schumacher (TU Chemnitz/University of Georgia)
  Geodesically complete Riemannian metrics on the space of embedded curves
• Kai Lüttgen (TU Chemnitz)
  Two Methods of Periodisation for Functions of Dominating Mixed Smoothness

November

• Felix Bartel (TU Chemnitz)
  Least Squares in Sampling Complexity and Statistical Learning
• Tino Ullrich (TU Chemnitz)
  Hyperbolic Cross Approximation

Oktober

• Tizian Sommerfeld (TU Chemnitz)
  An improved approach to spectral sparsification
• Stefan Heinrich (RPTU Kaiserslautern)
  Quantum computing for numerical problems - algorithms and complexity theory

August

• Claus Ernst (Western Kentucky University)
  Rational tangles, two bridge knots and links, and Montesinos knots and links

Juli

• Reinhold Schneider (TU Berlin)
  Deep Barron Classes

Juni

• Daniel Christopher Kreuter & Uwe Iben (Robert Bosch GmbH)
  Applied Mathematics at Bosch Research

Mai

• Jeremias Piljug (TU Chemnitz)
  Hyperbolic Wavelet Regression with Daubechies Wavelets
• Akram Sharif (TU Dresden)
  Mathematical foundations of contact interactions in continuum physics

März

• Robert Skiba (Nicolaus Copernicus University Toruń)
  How can the topological degree help to solve ordinary differential equations?
• Pascal Schröter (TU Chemnitz)
  Hochdimensionale Approximation mit teilweise periodischen Randbedingungen
• Moritz Moeller (TU Chemnitz)
  Gelfand numbers and best m-term trigonometric approximation for weighted mixed Wiener classes in \(L_{2}\)

Februar

• Daniel Steenebrügge (RWTH Aachen)
  Working towards a refined mountain pass theorem applicable to geometric energies
• Axel Wings (RWTH Aachen)
  Tangent-point energies in arbitrary dimensions and symmetric critical surfaces

Januar

• Bernd Käßemodel (TU Chemnitz)
  Quantum Summation and Complexity
• Mathias Sonnleitner (Universität Passau)
  Numerical Integration and Approximation on the Sphere

Dezember

• Thomas Jahn (Catholic University of Eichstätt-Ingolstadt)
  Sampling numbers of smoothness classes via \(\ell^1\)-minimization
• Nicolas Nagel (TU Chemnitz)
  Discrepancy of permutations

November

• Marius Müller (Albert-Ludwigs-Universität Freiburg)
  Embeddedness-breaking of elastic flows
• Bernd Käßemodel (TU Chemnitz)
  Basics of Quantum Computing

Juli

• Moritz Moeller (TU Chemnitz)
  Norm-concentration results for infinite random matrices with independent rows

Mai

• Rhoslyn Coles (Universität Potsdam)
  Knotted and linked curves through the shape of their tubular neighbourhoods
• Yuri Malykhin (Steklov Mathematical Institute)
  Widths and ridigity
• Michael Schmischke (TU Chemnitz)
  Interpretable Approximation of High-Dimensional Data based on the ANOVA Decomposition
• Michael Gnewuch (Universität Osnabrück)
  Approximation problems on Hermite spaces and spaces of Gaussian kernels
• Moritz Moeller (TU Chemnitz)
  Batson-Spielman-Srivastava-Subsampling
• Laura Lippert (TU Chemnitz)
  Transformations of functions and weighted function spaces

April

• Kai Lüttgen (TU Chemnitz)
  Connections between the Faber–Schauder system and the half-period cosine basis in the context of Besov spaces
• Stefan Krömer (UTIA Praha)
  Injective elastic deformations via surface penalty terms
• Moritz Moeller (TU Chemnitz)
  Gelfand numbers and best m-term trigonometric approximation for weighted mixed Wiener classes in \(L_{2}\)

Februar

• Lina Bohse (TU Chemnitz)
  Vortrag zum Betriebspraktikum bei axilaris GmbH
• Henning Kempka (Ernst-Abbe-Hochschule Jena)
  On the regularity of Brownian motion
• Frank Filbir (TU München, Helmholtz-Zentrum München)
  Shift Invariant Spaces Related to the Special Affine Fourier Transform

Juli

• Alois Pichler (TU Chemnitz)
  From random fields to RKHS: kernel regression in RKHS norm

Juni

• Jeremias Piljug (TU Chemnitz)
  Hoch-Dimensionale ANOVA Approximation in Anwendungen

Mai

• Matthieu Dolbeault (Laboratoire Jacques-Louis Lions, Sorbonne Université, Paris)
  Optimal \(L^{2}\) approximation through weighted least squares

April

• Lea Bach (TU Chemnitz)
  Downsampling von zufälligen Fouriermatrizen

März

• Fabian Taubert (TU Chemnitz)
  A uniform sparse FFT approach on differential equations with random coefficients
• Michael Quellmalz (TU Berlin)
  Fourier reconstruction in diffraction tomography with an arbitrary rotated object

Februar

• Stefan Kunis (Universität Osnabrück)
  Super-resolution of points and curves

Januar

• Thomas Jahn (TU Chemnitz)
  Explicit and implicit methods for surface reconstruction

Dezember

• Fabian Taubert (TU Chemnitz)
  Dimension-incremental Sparse FFT-rank-1 Lattice Sampling Strategies in Comparison
• Martin Schäfer (TU Chemnitz)
  Signal Recovery from Random Samples

November

• Carmela Loiti Azcue
  Stability of dynamic systems and applications in epidemiology through the basic reproduction number
• Kai Lüttgen (Universität Siegen)
  Stabilitätsanalyse einer 3-Punkt-Waveletbasis
• Steven Doempke (SIGMA Gesellschaft für Systementwicklung und Datenverarbeitung mbH, Chemnitz)
  Positionsbestimmung mit Deep Learning und UHF RFID

Oktober

• Theresa Wagner (TU Chemnitz)
  Fast Matrix-Vector Multiplication for the ANOVA Kernel

September

• Nicolas Nagel (TU Chemnitz)
  On the Kadison-Singer Problem and Weaver's Conjecture with Implications for Fourier Systems over Unbounded Sets

Juli

• Carsten Schubert (TU Chemnitz)
  Discussion of Matrix Pencil Method within stability analysis of rotordynamical systems using Floquet analysis
• Nicolas Nagel (TU Chemnitz)
  On the Kadison-Singer Problem and Anderson's Paving Conjecture with implications for well-conditioned Fourier matrices

Juni

• Moritz Moeller (TU Chemnitz)
  Novel spectral norm concentration results for random trace class operators and the recovery of RKHS-functions from n random samples
• Thomas Jahn (TU Chemnitz)
  A modern look at some classical inequalities

Januar

• Craig Gross (Michigan State University)
  Applications of compressive sensing and high-dimensional function approximation in uncertainty quantification
• Nicolas Nagel (TU Chemnitz)
  Numerische Untersuchungen zur Kondition von Fouriermatrizen
• Laura Lippert (TU Chemnitz)
  Projektionsbasierte Quasiinterpolation in Mannigfaltigkeiten

Dezember

• Christoph Robisch (TU Chemnitz)
  Iteration neu-gewichteter kleinster Quadrate zur Lösung der inversen nicht-äquidistanten schnellen Fourier-Transformation

Juli

• Philipp Werner (FAU Erlangen)
  PDEs modelling cell blebbing with membrane-cortex interaction through linker proteins

Juni

• Greta Marino (TU Chemnitz)
  A-priori estimates for some classes of elliptic problems
• Incoronata Notarangelo (Potenza, Italy)
  Application of truncated quadrature rules to the numerical solution of integral equations
• Incoronata Notarangelo (Potenza, Italy)
  Truncated Gaussian and product quadrature rules
• Kristóf Szarvas (Budapest)
  Lebesgue spaces with variable exponent and applications

Mai

• Kateryna Pozharska (NAS Ukraine)
  Entropy numbers and best approximations of classes of periodic multivariate functions
• Carina Geldhauser (TU Dresden)
  Discrete models for atmospheric turbulence
• Martin Schäfer (TU Berlin)
  The Framework of Alpha-Molecules

April

• Christian Gerhards (TU Freiberg)
  Inverse Problems in Geomagnetism and Vector Field Decompositions on the Sphere
• Anna Doležalová (Charles University, Praha)
  Volumes of unit balls of Lorentz spaces