Mathematical Research

articles

• Spectral theory of the frame flow on hyperbolic 3-manifolds (appendix provided for article by Colin Guillarmou and Benjamin Küster) [arXiv]
  submitted

• Ruelle zeta function from field theory (with Santosh Kandel and Michele Schiavina) [arXiv]
  Annales Henri Poincaré

• Zeta function at zero for surfaces with boundary [arXiv]
  final version available [here]

• Ruelle and quantum resonances for open hyperbolic manifolds [arXiv]
  International Mathematics Research Notices

• Local geometry of even Clifford structures on conformal manifolds (with Andrei Moroianu) [arXiv]
  Annals of Global Analysis and Geometry

• Resonances for symmetric tensors on asymptotically hyperbolic spaces [arXiv]
  Analysis & PDE

• Twistor spaces of Riemannian manifolds with even Clifford structures (with Gerardo Arizmendi) [arXiv]
  Annals of Global Analysis and Geometry

dissertations

• Structures de Clifford paires et résonances quantiques [thesis] [exposé]
  PhD thesis supervised by Colin Guillarmou and Andrei Moroianu

• Twistor spaces over quaternionic-Kähler manifolds [mémoire]
  Masters dissertation supervised by Andrei Moroianu

• Construction of conserved quantities with the conformal tractor calculus [dissertation]
  Honours dissertation supervised by Rod Gover

misc

• spinors on ah manifolds via ambient metric [calculation]
  spinorial calculation that ought be developed into a paper

• ruelle zeta via forms [calculation]
  calculation transforming ruelle zeta into product over forms