### Associate Professor

Department of Mathematical Sciences

Rutgers University

Camden, NJ 08102

e-mail: haydeeh@rutgers.edu

##### Research Interests

- Differential Topology, Riemannian Geometry

##### Publications

- Higher Â-genera on certain non-spin S¹-manifolds, Topology and its Applications
**157**(2010), no. 9, 1658-1663. - Complex contact manifolds and S
^{1}actions. Geom. Dedicata**149**(2010), 335–345. - Rigidity and vanishing theorems for almost quaternionic manifolds. Geom. Dedicata
**134**(2008),139–152. - Positively curved π2-finite manifolds, C.R. Math. Acad. Sci. Paris.
**345**(2007), no. 9, 499–502. - Spin-q manifolds and S¹ actions, with R. Herrera, C. R. Acad. Sci. Paris, Ser. I
**345**(2007) 35–38. - Spin-q manifolds admitting parallel and Killing spinors, with R. Herrera, J. Geom. Phys.
**57**(2007), no. 7, 1525—1539. - The signature of even 4-manifolds with circle actions, J JP J. Geom. Topol.
**6**(2006), no. 3, 237–243. - Elliptic genera for non-spin Riemannian symmetric spaces with b2=0, with R. Herrera, Journal of Geometry and Physics
**49**(2004), no. 2, 197–205. - The signature and the elliptic genus of π2-finite manifolds with circle actions, with R. Herrera, Topology and its Applications
**136**(2004) 251-259.- Erratum to “The signature and the elliptic genus of π
_{2}-finite manifolds with circle actions” [Topology Appl. 136 (1-3) (2004) 251–259]. Topology Appl.**157**(2010), no. 13, 2157

- Erratum to “The signature and the elliptic genus of π
- Generalized elliptic genus and cobordism class of non-spin real Grassmannians, with R. Herrera, Annals of Global Analysis and Geometry
**24**(2003) 323-335. - A result on the Â and elliptic genera on non-spin manifolds with circle actions, with R. Herrera, Comptes Rendus de l’Académie des Sciences – Série I – Mathematics
**335**(2002), no. 4, 371-374. - Classification of positive quaternion-Kaehler 12-manifolds, with R. Herrera, Comptes Rendus de l’Académie des Sciences – Série I – Mathematics
**334**(2002), no. 1, 43-46. - Â-genus on non-spin manifolds with circle actions and the classification of positive quaternion-Kähler 12-manifolds, with R. Herrera, Journal of Differential Geometry
**61**(2002)., no. 3, 341-364.- Erratum to “Â -genus on non-spin manifolds with S
^{1}actions and the classification of positive quaternion-Kähler 12-manifolds” . J. Differential Geometry**90**(2012), no. 3, 521.

- Erratum to “Â -genus on non-spin manifolds with S
- Gromov Invariants of S²-bundles over 4-manifolds, Topology and its Applications, vol.
**124**(2002), no.2, 327-345.

##### Books edited

- Geometrical Themes Inspired by the N-body Problem. Springer Verlag (2018).

##### Works in Progress

- Examples of Hamiltonian circle actions and
**π**_{1}of the space of Hamiltonian symplectomorphisms of manifolds of dimension 6, preprint (2016). - Modular invariance and almost even-Clifford Hermitian Manifolds, preprint (2023).

##### Courses Taught

- Undergraduate level:

Calculus I, II, III, Advanced Calculus, Linear Algebra, Discrete Mathematics, Advanced Linear Algebra, Advanced Calculus, Introduction to Topology, Geometry, Introduction to Differential Geometry. - Graduate level:

Linear Algebra and its Applications, Abstract Algebra, Geometry, Differential Geometry, Topology.