Professor Auxiliar at
Universidade Aberta.
FCT Research Fellow in Mathematics at CMAF (Centro de Matemática e Aplicações Fundamentais), Universidade de Lisboa and at the Mathematical Institute
of the University of Oxford, England (Jan. 2002-Aug. 2003), EPSRC Research Fellow
in Mathematics at the University of Oxford, England (Jan. 2000-Dec. 2001),
DPhil in Mathematics by the University of Oxford, England (2000), and Licenciatura
em Matemática Pura by the Universidade do Porto (1995).
Research Interests
My research interests are on O-minimal Structures an area of Model Theory (Mathematical Logic) which is closely related to and is a generalization of Semi-Algebraic, Real-Algebraic and Sub- Analytic Geometry.
Member of
CMAF (Centro de Matemática e Aplicações Fundamentais), Universidade de Lisboa.
Researcher of the
European Research and Training
Network MODNET (Model Theory) (Jan 2005-Dec. 2008).
Researcher of the European Research and Training Network RAAG (Real Algebraic and Analytic Geometry) (Sep. 2002-Sep. 2003)
Thesis
"O-minimal expansions of groups" DPhil. Thesis (2000), University of Oxford, England.
Books
(Preliminary versions of the books below are available at:
RAAG or MODNET Preprint Server).
"O-minimal Structures, Proceedings of the RAAG Summer School Lisbon 2003",
Lecture Notes in Real Algebraic and Analytic Geometry
(M. Edmundo, D. Richardson and A. Wilkie eds.,) Cuvillier Verlag 2005.
Papers in international scientific periodicals with referees
(Preliminary versions of many of the papers below are available at:
RAAG or MODNET Preprint Server).
"Poincaré - Verdier duality in o-minimal structures" (with L. Prelli) Ann. Inst. Fourier Grenoble (to appear).
"Definable group extensions in semi-bounded o-minimal structures" (with P. Eleftheriou) Math. Logic Quart. 55 (6) (2009) 598-604.
"The Lefschetz coincidence theorem in o-minimal expansions of fields" (with A. Woerheide) Topology Appl. 156 (15) (2009) 2470-2484.
"On freely generated E-subrings" (with G. Terzo) J. Pure Appl. Algebra 213 (5) (2009) 690-697.
"O-minimal Cech cohomology" (with N. Peatfield) Quart. J. Math. 59 (2) (2008) 213-220.
"Comparison theorems for o-minimal singular (co)homology" (with A.Woerheide). Trans. Amer. Math. Soc. 360 (9) (2008) 4889-4912.
"A fixed point theorem in o-minimal structures" Ann. Inst. Fourier Grenoble 57 (5) (2007) 1441-1450.
"The universal covering homomorphism in o-minimal expansions of groups" (with P. Eleftheriou) Math. Logic Quart. 53 (6) (2007) 571-582.
"Integration of positive constructible functions against Euler characteristic and
dimension" (with R.Cluckers) J. Pure Appl. Algebra 208
(2) (2007) 691-698.
"Corrigendum to: "Transfer methods for o-minimal topology"" (with A. Berarducci and M. Otero) J. Symb. Logic 72 (3) (2007) 1079-1080.
"Sheaf cohomology in o-minimal structures" (with G. Jones and N. Peatfield) J. Math. Logic
6 (2) (2006) 163-179.
"Locally definable groups in o-minimal structures" J. Algebra 301
(1) (2006) 194-223. Corrigendum (with E. Baro) J. Algebra 320 (7) (2008) 3079-3080.
"A remark on divisibility of definable groups" Math. Logic Quart. 51
(6) (2005) 639-641.
"Covers of groups definable in o-minimal structures" Illinois J. Math.
49 (1) (2005) 99-120. Erratum Illinois J. Math.
51 (3) (2007) 1037-1038.
"Definably compact abelian groups" (with M.Otero) J. Math. Logic
4 (2) (2004)
163-180.
"Solvable groups definable in o-minimal structures" J. Pure Appl. Algebra
185
(1-3) (2003) 103-145.
"Structure theorems for o-minimal expansions of groups" Ann. Pure Appl. Logic
102 (1-2) (2000) 159-181.
Papers in conference proceedings
(Preliminary versions of many of the papers below are available at:
RAAG or MODNET Preprint Server).
"Covering definable manifolds by open definable subsets" In: Logic
Colloquium '05, Lecture Notes in Logic 28 (2008) (ed., C. Dimitracopoulos et al.) Cambridge University Press.
"O-minimal (co)homology and applications" In: O-minimal Structures, Proceedings of
the RAAG Summer School Lisbon 2003, Lecture Notes in Real Algebraic and Analytic Geometry
(M. Edmundo, D. Richardson and A. Wilkie eds.,) Cuvillier Verlag 2005.
"Invariance of o-minimal singular (co)homology in elementary extensions" In: Séminaire
de Structures Algébriques Ordonnées n. 76 (2004) (ed., F. Delon et al.)
Publication de la Université de Paris VII.
"On solvable groups and rings definable in o-minimal structures" In: Logic
Colloquium '99, Lecture Notes in Logic 17 (2004) (ed., J. van Eijck et al.)
A K Peters Ltd.
Preprints
(Many of the preprints below are available at:
RAAG or MODNET Preprint Server).
"On very good reductions of definable covering homomorphisms" (with G. Jones and N. Peatfield).
[pdf]
"On the Euler characteristic of definable groups". [pdf]
"Hurewicz theorem for definable groups, Lie groups and their cohomologies" (with G. Jones and N. Peatfield).
[pdf]
"A uniform bound for torsion points in o-minimal expansions of groups" (with G. Jones and N. Peatfield).
[pdf]
"On Pillay's conjecture for orientable definable groups" (with G. Terzo).
[pdf]
"Coverings by open cells in non linear o-minimal expansions of groups".
[pdf]
"O-minimal cohomology with definably compact supports". [pdf]
"O-minimal orientation theory for definable manifolds". [pdf]
"On torsion points of locally definable groups in o-minimal structures".
[pdf]
"Interpreting fields in V-definable groups in o-minimal structures".
Unpublished manuscripts
"O-minimal cohomology and definably compact definable groups". Available
at: RAAG Preprint Server.
Contact Data
Phone: (351) 217904700 (ext 4293)
Fax: (351) 217954288
E-mail:
edmundo_at_cii.fc.ul.pt
Address:
CMAF Universidade de Lisboa, Avenida Professor Gama Pinto 2, 1649-003 LISBOA,
Portugal
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