Research area: Involutive Structures, Several Complex Variables, Differential Geometry and Partial Differential Equations.
Recent Publications:
(with S. Fu and W Zhu) Spectral stability of the Kohn laplacian: perturbation of the boundary, to appear in Journal of Mathematical Analysis and Applications.
(with M. Jahnke) Levi-flat CR structures on compact Lie groups, Annals of Global Analysis and Geometry, 64, Article number: 4 (2023).
A Non-Hausdorff space of CR equivalence classes, Proc. Amer. Math. Soc. 150 (2022), no. 12, 5411–5416..
(with G. Bor) Left-Invariant CR structures on three-dimensional Lie groups, Complex Analysis and its Synergies 7 (2021) Article 23
The Trautman Conjecture, Lecture Notes of Seminario Interdisciplinare di Matematica, University of Basilicata 15(2020), 33-43.
Locally CR-spherical three manifolds, Proc. AMS 148(2020), 3925-3926.
Geodesics of left-invariant pseudo-hermitian structures on the three dimensional sphere, Complex Analysis and its Synergies 6 (2020), Article 12.
(with E. Barletta and S. Dragomir ) Gravitational field equations on Fefferman space-time, Complex Analysis and Operator Theory, 11 (2017), n8, 1685-1713.
(with E. Barletta and S. Dragomir) Linearized pseudo-Einstein Equations on the Heisenberg Group, J. of Geometry and Physics,112 (2016)
(with P. Landweber), CR Structures on Open Manifolds, Proceedings pf the American Mathematics Society 144 (2016), no. 1, 235–248.
Selected Lectures:
Workshop in Global and Microlocal Analysis, University of Bologna, 2023
Analysis and Geometry in Several Complex Variables, ESI, Vienna 2023, Recording, Slides,
Colloquium, Georgetown University, 2023
Recent Advances in Global Analysis, Temple University, 2021
East-West Several Complex Variables Conference, Virtual 2020, Slides
International Workshop in several complex variables, Brazil 2019
Seminar at University of Basilicata, Italy 2018
International Workshop in several complex variables, Brazil 2017
Seminar, Temple University, Philadelphia 2017
Seminar at University of Basilicata, Italy 2016
PDE and Complex analysis, Miami 2016
International Workshop in several complex variables, Brazil 2015
Harmonic Analysis and CR Geometry, Oaxaca, Mexico 2015
International Workshop on Analysis and Geometry, Taipei 2014.
Analysis Seminar at Temple University, Philadelphia 2014.
International Conference on Complex Analysis and Geometry, Wuhan, China 2014.
International Workshop in Several Complex Variables, Brazil 2013.
Three lectures on The h-principle and CR immersions, Centro de Investigacion en Matematicas, Guanajuato, Mexico 2012.
Several Complex Variables and Complex Geometry Conference, Taipei, 2012.
International Workshop in Several Complex Variables, Brazil 2011.
Seminar at University of Basilicata, Italy, 2011.
International Conference on Complex and Symplectic Geometry, Seoul 2011.
International Conference on the d-bar Neumann Problem, Vienna 2009.
Three lectures on The h-principle in CR geometry, Seoul 2009.
International Workshop in Several Complex Variables, Brazil 2009.
Awards and Honors:
Distinguished Professor Guest of the Mexican Academy of Sciences (AMC) and the United States-Mexico Foundation for Science (FUMEC), December 2012.
Visiting Professor, Istituto Nazionale di Alta Matematica (Italy), June and October 2014.