Papers

 

 

Research Papers

 

 

1.   Strongly Homotopy Lie Algebras and Deformations of Calibrated Submanifolds,

Asian J. Math., accepted for publication,

e-print: arXiv:1804.05732

(with Domenico Fiorenza, Hông Vân Lê, and Lorenz Schwachhöfer).

 

2.   Homogeneous G-Structures,

Ann. Mat. Pura Appl. 199 (2020), 2357-2380,

e-print: arXiv:1907.06449

 (with Alfonso G. Tortorella, and Ori Yudilevich).

 

3.   Holomorphic Jacobi Manifolds and Holomorphic Contact Groupoids,

Math. Z. 294 (2020), 1181-1225,

e-print: arXiv:1710.03300

(with Aïssa Wade).

 

4.   Holomorphic Jacobi Manifolds,

Int. J. Math. 31 (2020), 2050024 (39 pages),

e-print: arXiv:1609.07737

(with Aïssa Wade).

 

5.   The Local Structure of Generalized Contact Bundles,

Int. Math. Res. Not. 2020, n° 20, 6871–6925,

e-print: arXiv:1711.08310

(with Jonas Schnitzer).

 

6.   Infinitesimal Automorphisms of VB-Groupoids and Algebroids,

Quart. J. Math. 70 (2019), 1039-1089,

e-print: arXiv:1611.06896

(with Chiara Esposito, and Alfonso G. Tortorella).

 

7.   Deformations of Linear Lie Brackets,

Pacific J. Math. 303 (2019), 265-298,

e-print: arXiv:1805.02108

(with Pier Paolo La Pastina).

 

8.   Higher Omni-Lie Algebroids,

J. Lie Theory 29 (2019), 881-899,

e-print: arXiv:1812.09496

(with Yanhui Bi, and Tao Zhang).

 

9.   Deformations of Coisotropic Submanifolds in Jacobi Manifolds,

J. Sympl. Geom. 16 (2018), 1051-1116,

e-print: arXiv:1410.8446

(with Hông Vân Lê, Yong-Geun Oh, and Alfonso G. Tortorella).

 

10.                Dirac-Jacobi Bundles,

J. Sympl. Geom. 16 (2018), 485-561,

e-print: arXiv:1502.05420.

 

11.                Deformation Cohomology of Lie Algebroids and Morita Equivalence,

C. R. Acad. Sci. Paris, Ser. I 356 (2018), 376-381,

e-print: arXiv:1801.10052

(with Gianni Sparano).

 

12.                Representations up to Homotopy from Weighted Lie Algebroids,

J. Lie Theory 28 (2018), 715-737,

e-print: arXiv:1705.02114

(with Andrew J. Bruce, and Janusz Grabowski).

 

13.                Jacobi Bundles and the BFV-Complex,

J. Geom. Phys. 121 (2017), 347-377,

e-print: arXiv:1601.04540

(with Hông Vân Lê, and Alfonso G. Tortorella).

 

14.                Vector Bundle Valued Differential Forms on NQ-manifolds,

Pacific J. Math. 283 (2016), 449-482,

e-print: arXiv:1406.6256.

 

15.                Generalized Contact Bundles,

C. R. Acad. Sci. Paris, Ser. I 354 (2016), 313-317,

e-print: arXiv:1507.03973

(with Aïssa Wade).

 

16.                Tulczyjew Triples in Higher Derivative Field Theory,

J. Geom. Mech. 7 (2015), 1-33,

e-print: arXiv:1406.6503

(with Kasia Grabowska).

 

17.                L¥-algebras from Multicontact Geometry,

Diff. Geom. Appl. 39 (2015), 147-165,

e-print: arXiv:1311.2751.

 

18.                On the Strong Homotopy Associative Algebra of a Foliation,

Commun. Contemp. Math. 17 (2015), 1450026 (34 pages),

e-print: arXiv:1212.1090.

 

19.                Representations of Homotopy Lie-Rinehart Algebras,

Math. Proc. Camb. Phil. Soc. 158 (2015) 155-191,

e-print: arXiv:1304.4353.

 

20.                Characteristics, Bicharacteristics, and Geometric Singularities of Solutions of PDEs,

Int. J. Geom. Meth. Mod. Phys. 11 (2014), 1460039 (35 pages),

e-print: arXiv:1311.3477.

 

21.                On the Strong Homotopy Lie-Rinehart Algebra of a Foliation,

Commun. Contemp. Math. 16 (2014), 1450007 (49 pages),

e-print: arXiv:1204.2467.

 

22.                Partial Differential Hamiltonian Systems,

Canad. J. Math. 65 (2013), 1164-1200,

e-print: arXiv:0903.4528.

 

23.                Geometric Hamilton-Jacobi Field Theory,

Int. J. Geom. Meth. Mod. Phys.  9 (2012), 1260008 (8 pages),

e-print: arXiv:1109.1677.

 

24.                On Higher Derivatives as Constraints in Field Theory: a Geometric Perspective,

Int. J. Geom. Meth. Mod. Phys. 8 (2011), 1687-1693,

e-print: arXiv:1009.6054.

 

25.                Hamilton-Jacobi Diffieties,

J. Geom. Phys. 61 (2011), 1932-1949,

e-printarXiv:1104.0162.

 

26.                The Hamilton-Jacobi Formalism for Higher Order Field Theories,

Int. J. Geom. Meth. Mod. Phys. 7 (2010), 1413-1436,

e-print: arXiv:1003.5236.

 

27.                The Lagrangian-Hamiltonian Formalism for Higher Order Field Theories,

J. Geom. Phys. 60 (2010), 857-873,

e-print: arXiv:0905.4580.

 

28.                Secondary Calculus and the Covariant Phase Space,

J. Geom. Phys. 59 (2009), 426-447,

e-print: arXiv:0809.4164.

 

29.                Iterated Differential Forms: The Lk-1C-Spectral Sequence on Infinite Prolonged Equations,

Dokl. Math. 76, n 2 (2007), 692-695,

e-print: arXiv:math/0703761

(with Alexandre M. Vinogradov).

 

30.                Iterated Differential Forms: The Lk-1C-Spectral Sequence on Infinite Jets,

Dokl. Math. 76, n 2 (2007), 673-677,

e-print: arXiv:math/0703661

(with Alexandre M. Vinogradov).

 

31.                Iterated Differential Forms IV: C-Spectral Sequence,

Dokl. Math. 75, n 3 (2007), 403-406,

e-print: arXiv:math/0610917

(with Alexandre M. Vinogradov).

 

32.                Iterated Differential Forms III: Integral Calculus,

Dokl. Math. 75, n 2 (2007), 177-180,

e-print: arXiv:math/0610914

(with Alexandre M. Vinogradov).

 

33.                Iterated Differential Forms: Riemannian Geometry Revisited,

Dokl. Math. 73, n 2 (2006), 182-184,

e-print: arXiv:math/0609287

(with Alexandre M. Vinogradov).

 

34.                Iterated Differential Forms: Tensors,

Dokl. Math. 73, n 2 (2006), 169-171,

e-print: arXiv:math/0605113

(with Alexandre M. Vinogradov).

 

 

Pre-Prints

 

35.                Multiplicative Connections and Their Lie Theory,

e-print: arXiv: 2011.04597

(with Fabrizio Pugiese, and Gianni Sparano).

 

36.                Deformation Cohomology of VB Groupoids,

e-print: arXiv:1907.05670

(with Pier Paolo La Pastina).

 

 

In Preparation

 

37.                A¥-algebras from Lie Pairs,

(with Mathieu Stienon, and Ping Xu).

 

38.                Multiplicative Metrics and their Levi-Civita Connections.

 

39.                Fiber-wise Linear Differential Operators.

 

40.                Deformations of Complex Lie Groupoids,

(with João Nuno Mestre, and Pier Paolo La Pastina).

 

41.                Representations of Lie Groupoids and Jacobi Geometry,

 (with Apurba Das).