Catarina Campos de Carvalho

Phone	+ 351 21 841 70 88 (ext. IST 1088)
Fax	+ 351 21 841 75 98

Email	catarina.carvalho at math.tecnico.ulisboa.pt

Office	Pavilhão de Matemática, 3rd Floor, room 3.30

Position

Assistant Professor

Member of CEAFEL, Research Center for Functional Analysis, Linear Structures and Applications.

D Phil in Mathematics, University of Oxford, UK, 2003.

Mestrado em Matemática, IST, 1999.

Licenciatura em Matemática Aplicada e Computação, IST, 1997

C*-algebras, K-theory, Index Theory, Pseudodifferential operators.

Index formula for convolution type operators with data functions in alg(SO,PC), with M.A. Bastos, Y.I. Karlovich, submitted, preprint.

An index formula for perturbed Dirac operators on Lie manifolds, with V. Nistor, J.Geom. Anal. 24 (2014), no. 4, 1808-1843, arXiv:1112.6058v1.

Layer potentials C*-algebras of domains with conical points, with Y. Qiao, Cent. Eur. J. Math. 11 (2013), no. 1, 27–54, arXiv:1111.5754v1.

Regularity for eigenvalues of Schrodinger operators, with B. Ammann, V. Nistor, Lett. Math. Phys. 101 (2012), no. 1 49–84, arXiv:1010.1712.
Cobordism invariance of the family index, Math. Nachr. 285 (2012), no. 7, 808–820, arXiv:0805.4412

A K-theory proof of the cobordism invariance of the index, K-Theory 36 (2005), 1–3, arXiv:math/0408260.
Pseudodifferential operators and applications to index theory on non-compact manifolds, D Phil Thesis, Oxford, August 2003.
Álgebras localmente convexas, Masters Thesis, IST Lisbon, September 1999.