Professor of Mathematics
Research Interests: Differential Geometry, Analysis and Dynamical Systems. Geometric inverse problems, especially geodesic ray transforms.
Publications
Spectral rigidity and invariant distributions on Anosov surfaces
– Journal of Differential Geometry
(2014)
98,
147
(doi: 10.4310/jdg/1406137697)
Tensor tomography: Progress and challenges
– Chinese Annals of Mathematics, Series B
(2014)
35,
399
(doi: 10.1007/s11401-014-0834-z)
Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level
– Journal of the European Mathematical Society
(2014)
19,
551
(doi: 10.4171/jems/674)
Symplectic and contact properties of the Mañé critical value of the universal cover
– Nonlinear Differential Equations and Applications NoDEA
(2014)
21,
679
(doi: 10.1007/s00030-013-0262-x)
On the Range of the Attenuated Ray Transform for Unitary Connections
– International Mathematics Research Notices
(2013)
2015,
873
(doi: 10.1093/imrn/rnt228)
On the existence of three closed magnetic geodesics for subcritical energies
– Commentarii Mathematici Helvetici
(2013)
90,
155
(doi: 10.4171/CMH/350)
Tensor tomography on surfaces
– Inventiones mathematicae
(2012)
193,
229
(doi: 10.1007/s00222-012-0432-1)
Equivariant symplectic homology of Anosov contact structures
– Bulletin of the Brazilian Mathematical Society, New Series
(2012)
43,
513
(doi: 10.1007/s00574-012-0024-0)
Floer homology for magnetic fields with at most linear growth on the universal cover
– Journal of Functional Analysis
(2012)
262,
3062
(doi: 10.1016/j.jfa.2011.12.026)
Floer homology for magnetic fields with at most linear growth on the universal cover
– J FUNCT ANAL
(2012)
262,
3062
(doi: 10.1016/j.jfa.2011.12.026)
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