Senior Researcher grade I at Institute of Mathematics "Simion Stoilow" of the Romanian Academy (I.M.A.R.)

Romanian (mother tongue), English (advanced), Italian (advanced), French (advanced), German (level B2)

1995 West University of Timisoara, Diploma in Mathematics

1996
West University of Timisoara, Master Degree in Mathematics

1997
University of Cambridge (UK), Certificate of Advanced Study in
Mathematics (graduated with Distinction)

2001 University of
Edinburgh, Ph.D in Mathematics

2001 - 2002 Ecole Polytechnique (Palaiseau), EDGE Post-doctoral
Fellow

2002 - 2003 University of Hull, EPSRC Post-doctoral
Research Assistant

2003 - 2004 University of Glasgow, EPSRC
Post-doctoral Research Assistant

2005 (3 months) Ecole
Polytechnique (Palaiseau), CNRS researcher

2006 - 2008 Centro di
Ricerca Matematica "Ennio de Giorgi" (Scuola Normale
Superiore di Pisa), Cari-Luca SNS Junior Visiting Fellow

2008 (2
months) The "Abdus Salam" International Center for
Theoretical Physics, Visiting Researcher

2010 (6 weeks) University
of Glasgow, Senior Research Fellow

2012 (2 months) Institut des
Hautes Etudes Scientifiques (Bures sur Yvette), Visiting Scientist.

2013-2016 (18 months) University of Mannheim and University of
Hamburg, **Humboldt Research Fellow**

Thesis title: Geometric structures on manifolds; Thesis defence at IMAR, on 19th of June 2013.

Kahler and CR geometry, quaternionic geometry, generalized complex geometry, Frobenius manifolds and meromorphic connections, Penrose transforms.

**Director of national research projects won by competition:
****Geometric
structures on manifolds (CNCS grant, code 1187/2008), during
2009-2011; Hermitian and quaternionic structures on manifolds and
applications (PN-II-ID-PCE-2011-3-0362), during 2012-2016; Special
geometries and related structures (PN-III-ID-P4-PCE-2016-0019),
during 2017-2019.**

- Generalized connections, spinors and integrability of
generalized structures on Courant algebroids, **arxiv:1905.01977 (**62
pages), sent for publication (joint with V. Cortes)

- Twist, elementary deformation, and the KK-correspondence in
generalized complex geometry, **arxiv:1706.05516** (57
pages), sent for publication (joint with V. Cortes)

--(T)-structures over 2-dimensional F-manifolds: formal
classification, accepted at **Ann Mat. Pura Applic **(joint
with C. Hertling)

--Regular F-manifolds: initial conditions and Frobenius metrics,
**Ann. Sc. Norm. Sup. Pisa**, (5) 17 (2017), p. 1121-1152 (joint
with C. Hertling)

- Prolongation of Tanaka structures: an
alternative approach, **Ann. Mat. Pura Applic. **(3) 196 (2017),
p. 1137-1164 (joint with D. Alekseevsky) --On cotangent manifolds,
complex structures and generalized geometry, **Ann. Inst. Fourier**,
66 (2016), p. 1-28.

- Hermitian metrics on F-manifolds, **J.
Geom. Physics **107 (2016), p. 60-78 (joint with C. Hertling)
--Tanaka structures (non-holonomic G-structures) and Cartan
connections, **J. Geom. Physics**, **(Conformal and Complex
geometry in Honor of Paul Gauduchon),** vol. 91 (2015), p. 88-100
(joint with D. V. Alekseevsky)

--The tt* geometry on the big
phase space, **Comm. Math. Physics ****,
vol. 329 (2014), p. 295-323**** **(joint
with I. A. B. Strachan).

-- Symmetries of F-manifolds with
eventual identities and special families of connections , **Ann. Sc.
Norm. Sup. Pisa****, ****vol.
XIII (2014), p. 641-674 (joint with I. A. B. Strachan)****
**

--On adding a variable to a Frobenius manifold and
generalizations, **Geom. Dedicata****, **vol. 167,
(2013), p. 189-214

--Invariant generalized complex structures on
Lie groups, **Proc. London Math. Soc. ****,
(4), vol. 105 (2012)**** **(joint with D.
V. Alekseevsky).

-- A note about invariant SKT-structures and
generalized Kahler structures on flag manifolds, **Proc. Edinb.
Math. Soc., ****(3)
vol. 55 (2012)**** **(joint with D.V.
Alekseevsky).

-- A prolongation of the conformal-Killing operator
on quaternionic-Kahler manifolds, **Ann. Mat. Pura Applic.**
(4) vol. 191 (2012).

-- The conformal-Killing equation on G2 and
Spin7 structures, **J. Geom. Physics**, (6), vol. 61,
(2011).

-- Dubrovin's duality for F-manifolds with eventual
identities, **Adv. Math.**, (5), vol. 266, (2011) (joint
with I. A. B. Strachan).

-- A report on the geometry of
Bochner-flat Kahler manifolds, **(volume in the honour of Dan
I. Papuc)**, A.U.T., XLVIII,1,2 (2010), p. 147-156.

-- The
fundamental form of almost-quaternionic Hermitian manifolds, **J.
Geom. Physics,** (4) 60 (2010), p. 574-580

-- A
characterization of quaternionic projective space by the
conformal-Killing equation, **J. London Math. Soc.** (2)
80 (2009), p. 326-340 (joint with M. Pontecorvo)

-- About the
geometry of almost para-quaternionic manifolds, **Diff. Geom.
Applic.** 27 (2009), p. 575-588.

-- Quaternionic
connections, induced holomorphic structures and a vanishing theorem,
**Internat. J. Math.**, 19 (2008), no. 10,
p.1167-1185

-- The Bochner-flat cone of a CR manifold, **Compositio
Math.**, 114 (2008), p. 747-777

-- The Bochner-flat
geometry of Weighted Projective spaces,Perspectives in Riemannian
Geometry, **C.R.M. Proceed. Lecture Notes**, AMS (2006),
p. 109-156 (joint with P. Gauduchon)

-- Sasaki-Weyl connections on
CR manifolds, **Diff. Geom. Applic.**, 24 (2006), no. 5,
p. 542-553.

-- Conformally-flat pencils of metrics, Frobenius
structures and a modified Saito construction, **J. Geom.
Physics** 56 (2006), no. 9, p. 1561-1575 (joint with I. A. B.
Strachan)

-- A note on the multi-Eguchi-Hanson metric, **Modern
Trends in Geometry and Topology**, (2006), no. 3-4, p.
179-184.

-- Weyl connections and curvature properties on CR
manifolds,** Ann. Global Anal. Geom.**, 26 (2004), no. 1
(2004), p. 59-72

-- Compatible metrics on a manifold and non-local
bi-hamiltonian structures, **Internat. Math. Res. Notices**,
66 (2004), p.3433-3557 (joint with I. A. B. Strachan)

-- The X-ray
transform for currents, **Diff. Geom. Applic.**, vol. 18
no. 1 (2003) p. 113-117

-- The Penrose transform for compactly
supported cohomology, **J. London Math. Soc.**, vol. 66,
no. 2 (2002) p. 131-141 (joint with T. N. Bailey)

-- The
Atiyah-Ward Ansatz in 3-dimensions, **Rendiconti di
Matemematica**, vol. 22 no. 7 (2002) p. 343-358

-- The
Guillemin formula and Kaehler metrics on toric symplectic manifolds,
**J. Symplectic Geom.**, vol. 1, no. 4 (2002) p. 767-784
(joint with D. M. J. Calderbank and P. Gauduchon)

-- The Penrose
transform for currents, **Rivista Mat. Univ. Parma**,
vol. 7, no. 1 (2002) 1-7

-- Relative involutive cohomology and
applications, **An. Univ. Timisoara**, Seria
Matematica-Informatica, XXXIX (2001), p. 23-34

-- Several
extensions of the smooth Penrose transform, **An. Univ.
Timisoara**, Seria Mat.-Inf., vol. 39 (2001), p. 163-173

--
About positive operators on vector bundles, **Rivista Mat.
Univ. Parma** vol. 5, no. 5 (1996) p. 55-64 (joint with D.
Papuc)

On the composition of positive operators on vector bundles,
**Scripta Scient. Math.**, vol. 1 fasc. 2 (MCMXCIX),
(joint with D. I. Papuc)

-- Spectral properties of positive
operators defined on a vector bundle endowed with a field of cones,
**An. Univ. Timisoara**, Seria Matematica-Informatica,
vol. 33 no. 1 (1995) p. 55-65

Postal Address: I.M.A.R., Bucharest, RO-014700, ROMANIA

E-Mail:
Liana *dot* David *at* imar *dot* ro