Speaker:
Stefan Hollands
Coordinator:
Jörg Lehnert
Address:
Inselstraße 22
04103 Leipzig
Germany
Contact:
+49(0)341-9959-641
+49(0)341-9959-658
IMPRS
Alumni
- Zachary Adams
- Topic: Quasi-ergodicity of SPDE : spectral theory and phase reduction
- Advisor: Jürgen Jost
- Year of graduation: 2023
- See at Qucosa: information and download
- Renan Assimos Martins
- Topic: The geometry of maximum principles and a Bernstein theorem in codimension 2
- Advisor: Jürgen Jost
- Year of graduation: 2019
- See at Qucosa: information and download
- Zhirayr Avetisyan
- Topic: Mode decomposition and Fourier analysis of physical fields in homogeneous cosmology
- Advisor: Rainer Verch
- Year of graduation: 2013
- See at Qucosa: information and download
- Michael Baldus
- Topic: Homogenization via correctors
- Advisor: Stephan Luckhaus
- Year of graduation: 2015
- David Bauer
- Topic: Towards discretization by piecewise pseudoholomorphic curves
- Advisor: Matthias Schwarz
- Year of graduation: 2013
- See at Qucosa: information and download
- Philipp Benner
- Topic: Combining prior information for the prediction of transcription factor binding sites
- Advisor: Jürgen Jost
- Year of graduation: 2016
- See at Qucosa: information and download
- Sarah Berkemer
- Topic: Towards dynamic programming on generalized data structures and applications of dynamic programming in bioinformatics
- Advisor: Peter F. Stadler
- Year of graduation: 2020
- See at Qucosa: information and download
- Holger Bernigau
- Topic: Causal models over infinite graphs and their application to the sensorimotor loop : general stochastic aspects and gradient methods for optimal control
- Advisor: Nihat Ay
- Year of graduation: 2015
- See at Qucosa: information and download
- Markus Borris
- Topic: Quantum field theory on non-commutative spacetimes
- Advisor: Rainer Verch
- Year of graduation: 2011
- See at Qucosa: information and download
- Tristan Buckmaster
- Topic: Onsager's conjecture
- Advisor: László Székelyhidi
- Year of graduation: 2014
- See at Qucosa: information and download
- Guy Buss
- Topic: On the construction and the behaviour of automorphic forms on completions of Teichmüller spaces and higher Bers maps
- Advisor: Jürgen Jost
- Year of graduation: 2009
- Yuri Cassio Campbell-Borges
- Topic: Large deviation results for likelihood ratios and hypothesis testing on quantum spin chains
- Advisor: Arleta Szkola
- Year of graduation: 2017
- Marcello Carioni
- Topic: Existence of calibrations for the Mumford-Shah functional and the reinitialization of the distance function in the framework of Chan and Vese algorithms
- Advisor: Bernd Kirchheim
- Year of graduation: 2017
- See at Qucosa: information and download
- Raymond Chan
- Topic: A biofluid dynamics model for centrifugal accelerated cell culture systems
- Advisor: Angela Stevens
- Year of graduation: 2008
- Brian Clarke
- Topic: The completion of the manifold of Riemannian metrics with respect to its L2 metric
- Advisor: Jürgen Jost
- Year of graduation: 2009
- See: information and download
- Philipp J. di Dio
- Topic: The truncated moment problem
- Advisor: Konrad Schmüdgen
- Year of graduation: 2018
- See at Qucosa: information and download
- Tobias Diez
- Topic: Normal form of equivariant maps and singular symplectic reduction in infinite dimensions with applications to gauge field theory
- Advisor: Gerd Rudolph
- Year of graduation: 2019
- See at Qucosa: information and download
- Sergey Dolgov
- Topic: Tensor product methods in numerical simulation of high-dimensional dynamical problems
- Advisor: Boris Khoromskij
- Year of graduation: 2014
- See at Qucosa: information and download
- Lukas Döring
- Topic: Asymmetric domain walls in soft ferromagnetic films
- Advisor: Felix Otto
- Year of graduation: 2015
- Philip Dowerk
- Topic: Algebraic and topological properties of unitary groups of II_1factors
- Advisor: Andreas Thom
- Year of graduation: 2015
- See at Qucosa: information and download
- David Dubray
- Topic: On unbounded induced Hilbert space representations
- Advisor: Konrad Schmüdgen
- Year of graduation: 2014
- Masud Ehsani
- Topic: Self-organized criticality in neural networks by inhibitory and excitatory synaptic plasticity
- Advisor: Jürgen Jost
- Year of graduation: 2021
- See at Qucosa: information and download
- Marzieh Eidi
- Topic: Topological and geometric methods with a view towards data analysis
- Advisor: Jürgen Jost
- Year of graduation: 2022
- See at Qucosa: information and download
- Christoph Eikemeier
- Topic: Asymptotics of Hecke operators for quasi-split simple groups
- Advisor: Tobias Finis
- Year of graduation: 2022
- See: information and download
- Henrik Eisenmann
- Topic: Multilinear optimization in low-rank models
- Advisor: André Uschmajew
- Year of graduation: 2022
- See: information and download
- Abdelrhman Ibrahim Mohamed Elkasapy
- Topic: Word maps on compact Lie groups
- Advisor: Andreas Thom
- Year of graduation: 2015
- See at Qucosa: information and download
- Benjamin Eltzner
- Topic: Local thermal equilibrium on curved spacetimes and linear cosmological perturbation theory
- Advisor: Rainer Verch
- Year of graduation: 2013
- See at Qucosa: information and download
- Elio Eduardo Espejo Arenas
- Topic: Global solutions and finite time blow up in a two species model for chemotaxis
- Advisor: Angela Stevens
- Year of graduation: 2008
- Elias Esselborn
- Topic: Gradient flows for nonconvex energies : asymptotics and stability for two models from fluid mechanics
- Advisor: Felix Otto
- Year of graduation: 2015
- Claudia Fevola
- Topic: Computation and physics in algebraic geometry
- Advisor: Bernd Sturmfels, Daniele Agostini
- Year of graduation: 2023
- See at Qucosa: information and download
- Clemens Förster
- Topic: Piecewise constant subsolutions for the incompressible Euler and IPM equations
- Advisor: Laszlo Szekelyhidi
- Year of graduation: 2018
- See at Qucosa: information and download
- Giovanni Frigeri
- Topic: Interaction effects in quantum interferometers
- Advisor: Bernd Rosenow
- Year of graduation: 2021
- See at Qucosa: information and download
- Andrey Frolov
- Topic: Ion interactions with carbon nanomaterial surfaces in aqueous and non-aqueous solutions
- Advisor: Maxim Fedorov
- Year of graduation: 2011
- See: information and download
- René Gebhardt
- Topic: Unbounded operators on Hilbert C*-modules : graph regular operators
- Advisor: Konrad Schmüdgen
- Year of graduation: 2016
- See at Qucosa: information and download
- Daniel Geiß
- Topic: Effects of time delay in motile active matter : from microscopic to collective behavior
- Advisor: Klaus Kroy
- Year of graduation: 2023
- See at Qucosa: information and download
- Arianna Giunti
- Topic: Green's function estimates for elliptic and parabolic operators : Applications to quantitative stochastic homogenization and invariance principles for degenerate random environments and interacting particle systems
- Advisor: Felix Otto
- Year of graduation: 2017
- See at Qucosa: information and download
- Manuel Gnann
- Topic: The moving contact line in viscous thin films : a singular free boundary problem
- Advisor: Felix Otto
- Year of graduation: 2014
- Paul Görlach
- Topic: Projective geometry, toric algebra and tropical computations
- Advisor: Bernd Sturmfels, Mateusz Michalek
- Year of graduation: 2020
- See at Qucosa: information and download
- Nadine Große
- Topic: On a spin conformal invariant on open manifolds
- Advisor: Hans-Bert Rademacher
- Year of graduation: 2008
- See at Qucosa: information and download
- Vishal Gupta
- Topic: Limit multiplicity problem
- Advisor: Tobias Finis
- Year of graduation: 2018
- See at Qucosa: information and download
- Stefan Handschuh
- Topic: Numerical methods in tensor networks
- Advisor: Wolfgang Hackbusch
- Year of graduation: 2014
- See at Qucosa: information and download
- Alexander Hertsch
- Topic: On the gauge orbit stratification for theories with classical compact gauge group
- Advisor: Gerd Rudolph
- Year of graduation: 2009
- Julian Hofrichter
- Topic: On the diffusion approximation of Wright-Fisher models with several Alleles and Loci and its geometry
- Advisor: Jürgen Jost
- Year of graduation: 2014
- See at Qucosa: information and download
- Danijela Horak
- Topic: Combinatorial Laplace operators on simplicial complexes
- Advisor: Jürgen Jost
- Year of graduation: 2012
- Leonhard Horstmeyer
- Topic: Towards a geometric theory of exact lumpability
- Advisor: Jürgen Jost
- Year of graduation: 2017
- See at Qucosa: information and download
- Alexander Huber
- Topic: Periodic solutions for the Landau-Lifshitz-Gilbert equation
- Advisor: Stefan Müller
- Year of graduation: 2009
- Mohammad Izadi Khaleghabadi
- Topic: Hierarchical matrix techniques on massively parallel computers
- Advisor: Wolfgang Hackbusch
- Year of graduation: 2012
- See at Qucosa: information and download
- Shuhan Jiang
- Topic: Mathematical structures of cohomological field theories
- Advisor: Jürgen Jost
- Year of graduation: 2023
- See at Qucosa: information and download
- Maryna Kachanovska
- Topic: Fast, parallel techniques for time-domain boundary integral equations
- Advisor: Lehel Banjai
- Year of graduation: 2014
- See at Qucosa: information and download
- Nidhi Kaihnsa
- Topic: Algebraic methods for dynamical systems and optimisation
- Advisor: Bernd Sturmfels
- Year of graduation: 2019
- See at Qucosa: information and download
- Biswajit Karmakar
- Topic: Regularity in thin film micromagnetics
- Advisor: Stefan Müller
- Year of graduation: 2008
- Stanislav Kazmin
- Topic: Ising model in three dimensions with long-range power-law correlated site disorder : a Monte Carlo study
- Advisor: Wolfhard Janke
- Year of graduation: 2022
- See at Qucosa: information and download
- Martin Kell
- Topic: On curvature conditions using Wasserstein spaces : with an application to the q-Laplace heat equation
- Advisor: Jürgen Jost
- Year of graduation: 2014
- See at Qucosa: information and download
- Enno Keßler
- Topic: The super conformal action functional on super Riemann surfaces
- Advisor: Jürgen Jost
- Year of graduation: 2017
- See using DOI: information and download
- Ilona Kosiuk
- Topic: Relaxation oscillations in slow-fast systems beyond the standard form
- Advisor: Jürgen Jost
- Year of graduation: 2012
- See at Qucosa: information and download
- Andreas Kübel
- Topic: Equivariant differential cohomology
- Advisor: Andreas Thom
- Year of graduation: 2015
- See at Qucosa: information and download
- Stefan Kühn
- Topic: Hierarchische Tensordarstellung
- Advisor: Wolfgang Hackbusch
- Year of graduation: 2012
- See at Qucosa: information and download
- Florian Kunick
- Topic: Analysis and numerics of stochastic gradient flows
- Advisor: Benjamin Gess, Felix Otto
- Year of graduation: 2022
- See at Qucosa: information and download
- Rüdiger Kürsten
- Topic: Critical phenomena in non-Markovian and nonlinear diffusion processes
- Advisor: Ulrich Behn
- Year of graduation: 2017
- Gianluca Lauteri
- Topic: The emergence of cosserat-type structures in metal plasticity
- Advisor: Stephan Luckhaus
- Year of graduation: 2017
- See at Qucosa: information and download
- Tim Bastian Laux
- Topic: Convergence of phase-field models and thresholding schemes via the gradient flow structure of multi-phase mean-curvature flow
- Advisor: Felix Otto
- Year of graduation: 2017
- See at Qucosa: information and download
- Alexei Lebedev
- Topic: Simple modular Lie superalgebras
- Advisor: Jürgen Jost
- Year of graduation: 2008
- Pablo Linares
- Topic: On a tree-free approach to regularity structures for quasi-linear stochastic partial differential equations
- Advisor: Felix Otto
- Year of graduation: 2022
- See: information and download
- Shiping Liu
- Topic: Synthetic notions of curvature and applications in graph theory
- Advisor: Jürgen Jost
- Year of graduation: 2012
- See at Qucosa: information and download
- Philippe Logaritsch
- Topic: An obstacle problem for mean curvature flow
- Advisor: Emanuele Spadaro
- Year of graduation: 2016
- See at Qucosa: information and download
- Thomas Ludwig
- Topic: Wick rotation for quantum field theories on degenerate moyal space
- Advisor: Rainer Verch
- Year of graduation: 2013
- See at Qucosa: information and download
- Arun Maiti
- Topic: On the Goresky-Hingston product
- Advisor: Hans-Bert Rademacher
- Year of graduation: 2017
- See at Qucosa: information and download
- Orlando Marigliano
- Topic: The algebraic statistics of sampling, likelihood, and regression
- Advisor: Bernd Sturmfels
- Year of graduation: 2020
- See at Qucosa: information and download
- Chiara Meroni
- Topic: Semialgebraic convex bodies
- Advisor: Rainer Sinn
- Year of graduation: 2022
- See at Qucosa: information and download
- Fatmagül Mintas
- Topic: Twistor spinors on Riemannian spin orbifolds
- Advisor: Hans-Bert Rademacher
- Year of graduation: 2009
- Wiktor Młynarski
- Topic: Functional sensory representations of natural stimuli : the case of spatial hearing
- Advisor: Jürgen Jost
- Year of graduation: 2015
- See at Qucosa: information and download
- Guido Montúfar
- Topic: On the expressive power of discrete mixture models, restricted Boltzmann machines, and deep belief networks - a unified mathematical treatment
- Advisor: Nihat Ay
- Year of graduation: 2012
- See: PDF file
- Albert Much
- Topic: Quantum spacetime from QM and QFT
- Advisor: Klaus Sibold
- Year of graduation: 2013
- See at Qucosa: information and download
- Chiranjib Mukherjee
- Topic: Large deviations for Brownian intersection measures
- Advisor: Wolfgang König
- Year of graduation: 2011
- See at Qucosa: information and download
- Raffaella Mulas
- Topic: Spectra of normalized Laplace operators for graphs and hypergraphs
- Advisor: Jürgen Jost
- Year of graduation: 2020
- See at Qucosa: information and download
- Johannes Müller
- Topic: Geometry of optimization in Markov decision processes and neural network based PDE solvers
- Advisor: Guido Montufar, Jürgen Jost
- Year of graduation: 2024
- See at Qucosa: information and download
- Marius Neuß
- Topic: Stochastic partial differential equations arising in self-organized criticality
- Advisor: Benjamin Gess
- Year of graduation: 2021
- See using DOI: information and download
- Max Joachim Nitsche
- Topic: Zur Eisenbud-Goto-Vermutung für affine Halbgruppenringe
- Advisor: Jürgen Stückrad
- Year of graduation: 2012
- Camilla Nobili
- Topic: Rayleigh-Bénard convection : bounds on the Nusselt number
- Advisor: Felix Otto
- Year of graduation: 2015
- See at Qucosa: information and download
- Wolfgang Otto
- Topic: Transcriptional regulatory elements : detection and evolutionary analysis
- Advisor: Peter Stadler
- Year of graduation: 2011
- See at Qucosa: information and download
- Niccolò Pederzani
- Topic: On the spin cobordism invariance oft he homotopy type of the space $R^{inv}(M)$
- Advisor: Nadine Große
- Year of graduation: 2018
- See at Qucosa: information and download
- Paolo Perrone
- Topic: Categorical probability and stochastic dominance in metric spaces
- Advisor: Jürgen Jost
- Year of graduation: 2018
- See at Qucosa: information and download
- Stephan Poppe
- Topic: Foundational aspects of coherent predictive and statistical inference for exchangeable categorical sequences
- Advisor: Jürgen Jost
- Year of graduation: 2017
- Claudia Raithel
- Topic: Some large-scale regularity results for linear elliptic equations with random coefficients and on the well-posedness of singular quasilinear SPDEs
- Advisor: Felix Otto
- Year of graduation: 2019
- See at Qucosa: information and download
- Johannes Rauh
- Topic: Finding the maximizers of the information divergence from an exponential family
- Advisor: Nihat Ay
- Year of graduation: 2011
- See at Qucosa: information and download
- Sharwin Rezagholi
- Topic: Hyperspace-type monads on top and the entropy theory of cynamical systems
- Advisor: Jürgen Jost
- Year of graduation: 2020
- Angel Eduardo Rodríguez Fernández
- Topic: On the study of fitness landscapes and the Max-Cut problem
- Advisor: Peter F. Stadler
- Year of graduation: 2021
- See at Qucosa: information and download
- Lavinia Roncoroni
- Topic: Lumpability of evolution equations in Banach spaces
- Advisor: Fatihcan Atay
- Year of graduation: 2016
- See at Qucosa: information and download
- Christoph Sachse
- Topic: Global analytic approach to super Teichmüller spaces
- Advisor: Jürgen Jost
- Year of graduation: 2007
- See: PDF file
- Murat Sağlam
- Topic: A search for finer topological information by holomorphic curves in symplectizations : the case of lens spaces and their unit cotangent bundles
- Advisor: Matthias Schwarz
- Year of graduation: 2017
- Camilo Eduardo Sarmiento Cortés
- Topic: Concerning triangulations of products of simplices
- Advisor: Jürgen Jost
- Year of graduation: 2014
- See at Qucosa: information and download
- Yurii Savchuk
- Topic: Unbounded induced *-representations
- Advisor: Konrad Schmüdgen
- Year of graduation: 2008
- Mahsa Sayyary Namin
- Topic: Real algebraic geometry of the sextic curves
- Advisor: Bernd Sturmfels
- Year of graduation: 2021
- See at Qucosa: information and download
- Jan Schlemmer
- Topic: Local thermal equilibrium on cosmological spacetimes
- Advisor: Rainer Verch
- Year of graduation: 2010
- See: PDF file
- André Schlichting
- Topic: The Eyring-Kramers formula for Poincaré and logoarithmic Sobolev inequalities
- Advisor: Stephan Luckhaus
- Year of graduation: 2012
- See at Qucosa: information and download
- Holger Schmidtchen
- Topic: Randomly evolving idiotypic networks : architecture, statistical properties, and model experiments
- Advisor: Ulrich Behn
- Year of graduation: 2015
- Matti Schneider
- Topic: The Leray-Serre spectral sequence in Morse homology on Hilbert manifolds and in Floer homology on cotangent bundles
- Advisor: Matthias Schwarz
- Year of graduation: 2013
- See at Qucosa: information and download
- Michael Schnurr
- Topic: Generic properties of extensions
- Advisor: Tatjana Eisner
- Year of graduation: 2018
- See at Qucosa: information and download
- Volodymyr Sergiievskyi
- Topic: Modelling of solvation thermodynamics using a combination of reference intercation site model theory and multi-grid numerical methods
- Advisor: Maxim Fedorov
- Year of graduation: 2012
- Roland C. Seydel
- Topic: Impulse control for jump-diffusions : viscosity solutions of quasi-variational inequalities and applications in bank risk management
- Advisor: Rüdiger Frey
- Year of graduation: 2010
- See: PDF file
- Tim Seynnaeve
- Topic: Algebraic geometry for tensor networks, matrix multiplication, and flag matroids
- Advisor: Mateusz Michalek, Bernd Sturmfels
- Year of graduation: 2020
- See at Qucosa: information and download
- Thilo Martin Simon
- Topic: Materials science-inspired problems in the calculus of variations : rigidity of shape memory alloys and multi-phase mean curvature flow
- Advisor: Felix Otto
- Year of graduation: 2018
- See at Qucosa: information and download
- Gerardo Sosa Garciamarín
- Topic: On symmetric transformations in metric measure geometry
- Advisor: Jürgen Jost
- Year of graduation: 2017
- See at Qucosa: information and download
- Stefano Steffenoni
- Topic: Active Brownian dynamics
- Advisor: Klaus Kroy
- Year of graduation: 2019
- See at Qucosa: information and download
- Maximilian Stegemeyer
- Topic: On global properties of geodesics : the string topology coproduct and geodesic complexity
- Advisor: Hans-Bert Rademacher
- Year of graduation: 2023
- See at Qucosa: information and download
- Linlin Sun
- Topic: Dirac equations, Dirac-harmonic maps and their heat flows
- Advisor: Jürgen Jost
- Year of graduation: 2015
- Lorenzo Taggi
- Topic: Absorbing-state phase transition in activated random walk and probabilistic cellular automata
- Advisor: Artem Sapozhnikov
- Year of graduation: 2015
- See at Qucosa: information and download
- Mojtaba Taslimitehrani
- Topic: Aspects of gauge theories in Lorentzian curved space-times
- Advisor: Stefan Hollands
- Year of graduation: 2018
- See at Qucosa: information and download
- Markus Tempelmayr
- Topic: Algebraic and probabilistic aspects of regularity structures
- Advisor: Felix Otto
- Year of graduation: 2023
- See at Qucosa: information and download
- Tat Dat Tran
- Topic: Information geometry and the Wright-Fisher model of mathematical population genetics
- Advisor: Jürgen Jost
- Year of graduation: 2012
- See at Qucosa: information and download
- Hanna Tseran
- Topic: Expected complexity and gradients of deep maxout neural networks and implications to parameter initialization
- Advisor: Bernd Sturmfels, Guido Montúfar
- Year of graduation: 2023
- See at Qucosa: information and download
- José Javier Vasquez
- Topic: Isospectral nearly Kähler manifolds
- Advisor: Hans-Bert Rademacher
- Year of graduation: 2017
- See at Qucosa: information and download
- Martin Vodička
- Topic: Combinatorial methods in algebraic geometry
- Advisor: Mateusz Michalesk
- Year of graduation: 2022
- See: information and download
- Ying Wang
- Topic: Branching processes : optimization, variational characterization, and continuous approximation
- Advisor: Jürgen Jost
- Year of graduation: 2010
- See at Qucosa: information and download
- Anatol Wegner
- Topic: Subgraph covers : an information theoretic approach to motif analysis in networks
- Advisor: Jürgen Jost
- Year of graduation: 2015
- See at Qucosa: information and download
- Jens Wohlgemuth
- Topic: Study of a model for reference-free plasticity
- Advisor: Stephan Luckhaus
- Year of graduation: 2013
- See at Qucosa: information and download
- Ruijun Wu
- Topic: Analysis of a two-dimensional nonlinear sigma model with gravitino
- Advisor: Jürgen Jost
- Year of graduation: 2017
- See at Qucosa: information and download
- Ling Xu
- Topic: On Galerkin approximations for the Zakai equation with diffusive and point process observations
- Advisor: Rüdiger Frey
- Year of graduation: 2011
- See at Qucosa: information and download
- Marius Emar Yamakou
- Topic: Weak-noise-induced phenomena in a slow-fast dynamical system
- Advisor: Jürgen Jost
- Year of graduation: 2018
- Odette Sylvia Yaptieu Djeungue
- Topic: Generalizations of discrete Morse theory
- Advisor: Jürgen Jost
- Year of graduation: 2018
- See at Qucosa: information and download
- Konstantinos Zemas
- Topic: Geometric rigidity estimates for isometric and conformal maps from S^(n-1) to R^n
- Advisor: Stephan Luckhaus
- Year of graduation: 2020
- See at Qucosa: information and download
- Tinggui Zhang
- Topic: Separability and local unitary equivalence of quantum states
- Advisor: Jürgen Jost
- Year of graduation: 2014
- Miaomiao Zhu
- Topic: Harmonic maps and Dirac-Harmonic maps from degenerating surfaces
- Advisor: Jürgen Jost
- Year of graduation: 2008
- Björn Zocher
- Topic: Signatures of majorana fermions and ground state degeneracies in topological superconductors
- Advisor: Bernd Rosenow
- Year of graduation: 2013
- See at Qucosa: information and download
- Jan Zschoche
- Topic: Quantum pressure inequalities and the Chaplygin gas equation of state
- Advisor: Rainer Verch
- Year of graduation: 2013