Speaker:
Stefan Hollands

Coordinator:
Jörg Lehnert

Address:
Inselstraße 22
04103 Leipzig
Germany

Contact:
+49(0)341-9959-641
+49(0)341-9959-658
 IMPRS

Geometry

Scientific Members working in this area

Description of Research

We investigate the topology of manifolds and simplicial complexes and the geometry of locally symmetric spaces and Riemannian, Finslerian, algebraic and symplectic manifolds, together with extensions to general metric spaces. Abstract notions of curvature also link this area with stochastic and discrete structures. The geometry of locally symmetric spaces is connected with arithmetic problems. Geometrically defined variational problems, like harmonic maps, pseudoholomorphic curves or minimal submanifolds, require powerful tools from analysis. Some of these variational problems, in particular those involving Dirac operators, are inspired by quantum field and string theory.

Current PhD Students

Surname, first nameEmailPhoneOfficeHomepage
Adams, ZacharyZachary.Adams572B3 08 
Assimos Martins, RenanRenan.Assimos541A3 10 
Ehsani, MasudMasud.Ehsani575B3 09 
Eidi, MarziehMarzieh.Eidi516B3 09 
Görlach, PaulPaul.Goerlach770F3 07group, personal
Jiang, ShuhanShuhan.Jiang571B3 08 
Kaihnsa, NidhiNidhi.Kaihnsa760F3 05group, personal
Marigliano, OrlandoOrlando.Marigliano788F3 15group
Mulas, RaffaellaRaffaella.Mulas521A3 05group, external
Perrone, PaoloPaolo.Perrone531A3 08group, personal
Rezagholi, SharwinSharwin.Rezagholi539A3 10 
Sayyary Namin, MahsaMahsa.Sayyary761F3 05group, external
Seynnaeve, TimTim.Seynnaeve759F3 05group, personal
Vodička, MartinMartin.Vodicka790F3 15 

Alumni

NameAdvisorGraduationTopic
David BauerMatthias Schwarz2013Towards discretization by piecewise pseudoholomorphic curves (see more)
Philipp BennerJürgen Jost2016Combining prior information for the prediction of transcription factor binding sites (see more)
Guy BussJürgen Jost2009On the construction and the behaviour of automorphic forms on completions of Teichmüller spaces and higher Bers maps
Brian ClarkeJürgen Jost2009The completion of the manifold of Riemannian metrics with respect to its L2 metric (see more)
Jiao GuJürgen Jost, Peter Stadler2014The spectral distance based on the normalized Laplacian and applications to large networks
Vishal GuptaTobias Finis2018Limit multiplicity problem (see more)
Julian HofrichterJürgen Jost2014On the diffusion approximation of Wright-Fisher models with several Alleles and Loci and its geometry (see more)
Danijela HorakJürgen Jost2012Combinatorial Laplace operators on simplicial complexes
Leonhard HorstmeyerJürgen Jost2017Towards a geometric theory of exact lumpability (see more)
Martin KellJürgen Jost2014On curvature conditions using Wasserstein spaces : with an application to the q-Laplace heat equation (see more)
Enno KeßlerJürgen Jost2017The super conformal action functional on super Riemann surfaces
Ilona KosiukJürgen Jost2012Relaxation oscillations in slow-fast systems beyond the standard form (see more)
Alexei LebedevJürgen Jost2008Simple modular Lie superalgebras
Shiping LiuJürgen Jost2012Synthetic notions of curvature and applications in graph theory (see more)
Yangjing LongJürgen Jost, Peter Stadler2014Graph relations and constrained homomorphism partial orders (see more)
Arun MaitiHans-Bert Rademacher2017On the Goresky-Hingston product (see more)
Wiktor MłynarskiJürgen Jost2015Functional sensory representations of natural stimuli : the case of spatial hearing (see more)
Niccolò PederzaniNadine Große2018On the spin cobordism invariance oft he homotopy type of the space $R^{inv}(M)$ (see more)
Stephan PoppeJürgen Jost2017Foundational aspects of coherent predictive and statistical inference for exchangeable categorical sequences
Christoph SachseJürgen Jost2007Global analytic approach to super Teichmüller spaces (see PDF)
Camilo Eduardo Sarmiento CortésJürgen Jost2014Concerning triangulations of products of simplices (see more)
Murat SağlamMatthias Schwarz2017A search for finer topological information by holomorphic curves in symplectizations : the case of lens spaces and their unit cotangent bundles
Matti SchneiderMatthias Schwarz2013The Leray-Serre spectral sequence in Morse homology on Hilbert manifolds and in Floer homology on cotangent bundles (see more)
Gerardo Sosa GarciamarínJürgen Jost2017On symmetric transformations in metric measure geometry (see more)
Linlin SunJürgen Jost2015Dirac equations, Dirac-harmonic maps and their heat flows
Tat Dat TranJürgen Jost2012Information geometry and the Wright-Fisher model of mathematical population genetics (see more)
José Javier VasquezHans-Bert Rademacher2017Isospectral nearly Kähler manifolds (see more)
Ying WangJürgen Jost2010Branching processes : optimization, variational characterization, and continuous approximation (see more)
Anatol WegnerJürgen Jost2015Subgraph covers : an information theoretic approach to motif analysis in networks (see more)
Ruijun WuJürgen Jost2017Analysis of a two-dimensional nonlinear sigma model with gravitino (see more)
Marius Emar YamakouJürgen Jost2018Weak-noise-induced phenomena in a slow-fast dynamical system
Odette Sylvia Yaptieu DjeungueJürgen Jost2018Generalizations of discrete Morse theory (see more)
Tinggui ZhangJürgen Jost2014Separability and local unitary equivalence of quantum states
Miaomiao ZhuJürgen Jost2008Harmonic maps and Dirac-Harmonic maps from degenerating surfaces
03.11.2018, 00:40