Professor of Mathematics
Research Interests: Differential Geometry, Analysis and Dynamical Systems. Geometric inverse problems, especially geodesic ray transforms.
Publications
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds
– Inventiones Mathematicae
(2022)
229,
303
(doi: 10.1007/s00222-022-01108-x)
Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors
– The Annals of Statistics
(2021)
49,
3255
(doi: 10.1214/21-aos2082)
Detection of Hermitian connections in wave equations with cubic non-linearity
– Journal of the European Mathematical Society
(2021)
24,
2191
(doi: 10.4171/jems/1136)
Inverse Problem for the Yang–Mills Equations
– Communications in Mathematical Physics
(2021)
384,
1187
(doi: 10.1007/s00220-021-04006-0)
Vortices over Riemann surfaces and dominated splittings
– Ergodic Theory and Dynamical Systems
(2021)
42,
1781
(doi: 10.1017/etds.2020.142)
A sharp stability estimate for tensor tomography in non-positive curvature
– Mathematische Zeitschrift
(2020)
298,
1323
(doi: 10.1007/s00209-020-02638-x)
Consistent Inversion of Noisy Non‐Abelian X‐Ray Transforms
– Communications on Pure and Applied Mathematics
(2020)
74,
1045
(doi: 10.1002/cpa.21942)
Convex projective surfaces with compatible Weyl connection are hyperbolic
– Analysis & PDE
(2020)
13,
1073
(doi: 10.2140/apde.2020.13.1073)
The geodesic X-ray transform with matrix weights
– American Journal of Mathematics
(2019)
141,
1707
(doi: 10.1353/ajm.2019.0045)
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