Professor of Mathematics
Research Interests: Differential Geometry, Analysis and Dynamical Systems. Geometric inverse problems, especially geodesic ray transforms.
Publications
Consistent Inversion of Noisy Non‐Abelian X‐Ray Transforms
– Communications on Pure and Applied Mathematics
(2020)
cpa.21942
(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)
Efficient nonparametric Bayesian inference for $X$-ray transforms
– The Annals of Statistics
(2019)
47,
1113
(DOI: 10.1214/18-aos1708)
Lens Rigidity for a Particle in a Yang–Mills Field
– Communications in Mathematical Physics
(2019)
366,
681
(DOI: 10.1007/s00220-019-03388-6)
Inverse problems for the connection Laplacian
– Journal of Differential Geometry
(2018)
110,
457
(DOI: 10.4310/jdg/1542423627)
Holomorphic differentials, thermostats and Anosov flows
– Mathematische Annalen
(2018)
373,
553
(DOI: 10.1007/s00208-018-1712-x)
The Geodesic X-ray Transform with a $GL(n,\mathbb {C})$-Connection
– Journal of Geometric Analysis
(2017)
30,
2515
(DOI: 10.1007/s12220-017-9931-z)
Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level
– Journal of the European Mathematical Society
(2017)
19,
551
(DOI: 10.4171/jems/674)
Invariant distributions and the geodesic ray transform
– Analysis and PDE
(2016)
9,
1903
(DOI: 10.2140/apde.2016.9.1903)
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