The conformal group of a compact, simply connected Lorentzian manifold, with Vincent Pecastaing
pdf
Journal of the American Mathematical Society 35 no. 1 (2022) 81-122.

Survey article on Rigidity of transformation groups in differential geometry
pdf
Notices of the American Mathematical Society 68 no. 5 (2021) 721--732.

C¹ deformations of almost-Grassmannian structures with strongly essential symmetry, with Andreas Čap
pdf
Transformation Groups 26 no. 4 (2021) 1169--1187.

Topology of automorphism groups of parabolic geometries, with Charles Frances
pdf
Geometry & Topology 23 no. 1 (2019) 135--169.

Nonstationary smooth geometric structures for contracting measurable cocycles
pdf
Ergodic Theory and Dynamical Systems 39 no. 2 (2019) 392--424
(published online in 2017 here)

Strongly essential flows on irreducible parabolic geometries, with Katharina Neusser
pdf
Transactions of the American Mathematical Society 368 no. 11 (2016) 8079--8110

Quasihomogeneous three-dimensional real analytic Lorentz metrics do not exist, with Sorin Dumitrescu
pdf
Geometriae Dedicata 179 no. 1 (2015) 229-253

Essential Killing fields of parabolic geometries: projective and conformal structures, with Andreas Čap
pdf or in the ESI Preprint Series (number 2393)
Central European Journal of Mathematics 11 no. 12 (2013) 2053-2061

Essential Killing fields of parabolic geometries, with Andreas Čap
pdf or in the ESI Preprint Series (number 2388)
Indiana University Mathematics Journal 62 no. 6 (2013) 1917-1953

Formes normales pour les champs conformes pseudo-riemanniens [Normal forms for pseudo-Riemannian conformal vector fields], with Charles Frances
pdf
Bulletin de la Société Mathématique de France 141 no. 3 (2013), 377-421

A Frobenius theorem for Cartan geometries, with applications
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L'Enseignement Mathématique (Sér. II) 57 no. 1-2 (2011) 57-89

Erratum: There is an error in the proof of Theorem 6.3, the Frobenius theorem for Killing fields around regular points in the smooth case. Pecastaing has an alternative proof of this result: On two theorems about local automorphisms of geometric structures, Ann. Inst. Fourier (Grenoble) 66 no. 1 (2016) 175-208, arxiv.org/abs/1402.5048. There are no known issues with the real-analtyic results that constitute the bulk of my paper.

Conformal actions of nilpotent groups on pseudo-Riemannian manifolds, with Charles Frances
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Duke Mathematical Journal 153 no. 3 (2010) 511-550

Dynamics on Lorentz manifolds, lecture notes in English from the École de Géométrie Différentielle et Systèmes Dynamiques, ENSET Oran, Algeria, November 4-9, 2006
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French version, translated by D. Smai, in Algèbre, analyse, et dynamique pour la géométrie: Actes des Écoles de Géométrie et Dynamique au Maghreb 2004-2007 (eds. T. Barbot, H. Belbachir, S. Mehdi, D. Smai, R. Souam) Paris: Ellipses (2010) 307-342

An embedding theorem for automorphism groups of Cartan geometries, with Uri Bader and Charles Frances
pdf
Geometric and Functional Analysis 19 no. 2 (2009) 333-355

Compact Lorentz manifolds with local symmetry
University of Chicago dissertation, 2006 pdf
article version pdf
Journal of Differential Geometry 81 no. 2 (2009) 355-390

A primer on the (2+1) Einstein universe, with Thierry Barbot, Virginie Charette, Todd Drumm, and William Goldman
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in Recent developments in pseudo-Riemannian Geometry: Proceedings of the Special Semester "Geometry of pseudo-Riemannian manifolds with application to physics", Erwin Schrödinger Insitute, Vienna, Sept - Dec 2005 (eds. D. Alekseevsky and H. Baum) in ESI-Series on Mathematics and Physics

Actions of noncompact semisimple groups on Lorentz manifolds, with Mohamed Deffaf and Abdelghani Zeghib
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Geometric and Functional Analysis 18 no. 2 (2008) 463-488

Isometric actions of Heisenberg groups on compact Lorentz manifolds
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Geometriae Dedicata 126 no. 1 (2007) 131-154