Professor of Mathematics
Research Interests: Differential Geometry, Analysis and Dynamical Systems. Geometric inverse problems, especially geodesic ray transforms.
Publications
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
– The Journal of Geometric Analysis
(2017)
30,
2515
(doi: 10.1007/s12220-017-9931-z)
Invariant distributions and the geodesic ray transform
– Analysis & PDE
(2016)
9,
1903
(doi: 10.2140/apde.2016.9.1903)
The X-Ray Transform for Connections in Negative Curvature
– Communications in Mathematical Physics
(2015)
343,
83
(doi: 10.1007/s00220-015-2510-x)
CONFORMAL GREAT CIRCLE FLOWS ON THE 3-SPHERE
– Proceedings of the American Mathematical Society
(2015)
144,
1725
(doi: 10.1090/proc/12819)
Floer homology for non-resonant magnetic fields on flat tori
– Nonlinearity
(2015)
28,
1351
(doi: 10.1088/0951-7715/28/5/1351)
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
– Mathematische Annalen
(2015)
363,
305
(doi: 10.1007/s00208-015-1169-0)
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