PositionPositionSenior 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.
-- B_{n}-generalized pseudo-Kahler structures, arxiv: 2206.10456 [ math.DG] (2022), 46 pages (joint with V. Cortes)
-- T-duality for transitive Courant algebroids, arxiv: 2101.07184 [ math.DG] (2021), 67 pages (joint with V. Cortes)
-- Generalized connections, spinors and integrability of generalized structures on Courant algebroids, Moscow Math J, 21 (2021) no 4, p. 695 – 736 (joint with V. Cortes)
-- Meromorphic connections over F-manifolds, Integrability, Quantization and Geometry I; Integrable Systems (eds. I. Kriever, S. Novikov, O. Ogievetski, S. Shlosman), Proc Sympos Pure Math 103, 1, AMS, (2021), p. 171-216 (joint with C. Hertling)
-- Twist, elementary deformation and K/K-correspondencein generalized geometry, Int. J. Math. 31 (10) (2020), 51 pages (joint with V. Cortes)
- (TE)-structures over the irreducible 2-dimensional globally nilpotent F-manifold germ, Rev. Roum. Math. Pures Appl., 65 (3) (2020), p. 235-284 (joint with C. Hertling)
-- L. David, C. Hertling: (T)-structures on 2-dimensional $F$-manifolds: formal classification, Ann. Mat. Pura Applic, (4) 199 no 3, p. 1221-1242 (2020) (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