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Projects
01
Hitchin components for orbifolds
02
Asymptotic geometry of sofic groups and manifolds
03
Geometric operators on a class of manifolds with bounded geometry
04
Secondary invariants for foliations
05
Index theory on Lorentzian manifolds
06
Spectral Analysis of Sub-Riemannian Structures
07
Asymptotic geometry of moduli spaces of curves
08
Parabolics and Invariants
09
Diffeomorphisms and the topology of positive scalar curvature
10
Duality and the coarse assembly map
11
Topological and equivariant rigidity in the presence of lower curvature bounds
12
Anosov representations and Margulis spacetimes
13
Analysis on spaces with fibred cusps
14
Boundaries of acylindrically hyperbolic groups and applications
15
Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds
16
Minimizer of the Willmore energy with prescribed rectangular conformal class
17
Existence, regularity and uniqueness results of geometric variational problems
18
Analytic L2-invariants of non-positively curved spaces
19
Boundaries, Greens formulae and harmonic functions for graphs and Dirichlet spaces
20
Compactifications and Local-to-Global Structure for Bruhat-Tits Buildings
21
Stability and instability of Einstein manifolds with prescribed asymptotic geometry
22
Willmore functional and Lagrangian surfaces
23
Spectral geometry, index theory and geometric flows on singular spaces
24
Minimal surfaces in metric spaces
25
The Willmore energy of degenerating surfaces and singularities of geometric flows
26
Projective surfaces, Segre structures and the Hitchin component for PSL(n,R)
27
Invariants and Boundaries of Spaces
28
Rigidity, deformations and limits of maximal representations
29
Curvature flows without singularities
30
Nonlinear evolution equations on singular manifolds
31
Solutions to Ricci flow whose scalar curvature is bounded in L^p
32
Asymptotic geometry of the Higgs bundle moduli space
33
Gerbes in Renormalization and Quantization of Infinite-Dimensional Moduli Spaces
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