Research area: Involutive Structures, Several Complex Variables, Differential Geometry and Partial Differential Equations.
(with E. Barletta and S. Dragomir ) Gravitational field equations on Fefferman space-time, to appear in Complex Analysis and Operator Theory (2017)
(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.
(with P. Landweber), Totally Real Mappings and Independent Mappings, Bulletin of the Institute of Mathematics, Academia Sinica (Taiwan), 8(2013), 219-230.
Holomorphic Sections of Powers of a Line Bundles, Seminario Interdisciplinare di Matematica, Universit a degli Studi della Basilicata Dipartimento di Matematica, Vol. 11(2012), pp. 1–9.
(with P. Ho and P. Landweber), Optimality for totally real immersions and independent mappings into C^N, New York Journal of Mathematics, 18(2012), 463-477.
(with E. Barletta, S. Dragomir, and M. Soret), b-Completion of Pseudohermitian Manifolds, Classical and Quantum Gravity, 29(2012), 095007 (27 pp.).
Convex Integration and the h-Principle, Lecture Notes Series, Number 55, 2011, Research Institute of Mathematics, Seoul National University, Korea.
(with S. Metzler), Geometric sensitivity of a pinhole collimator, International Journal of Mathematics and Mathematical Sciences, vol. 2010, Article ID 915958.
(with S. Fu), The d-bar b cohomology groups, holomorphic morse inequalities, and the finite type condition, Pure and Applied Mathematics Quarterly, 6(2010) no. 3, 875-914.
Non-vanishing complex vector fields and their Euler characteristic, Proc. Amer. Math. Soc. 137 (2009), no. 9, 3163—3165.
Selected Recent Lectures:
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.