Papers

Papers in international scientific periodicals with peer review

  • “The six Grothendieck operations on o-minimal sheaves” (with L. Prelli) Math. Z. (to appear).
  • “On Pillay’s conjecture in the general case” (with M. Mamino, L. Prelli, J. Ramakrishnan and G. Terzo) Adv. Math. 310 (2017) 940 – 992.
  • “O-minimality and sheaf cohomology” (L. Prelli) Bol. Soc. Port. Mat. Special issue (2016) 99 – 102.
  • On definably proper maps (with M. Mamino and L. Prelli) Fund. Math. 233 (1) (2016) 1-36.
  • “Sheaves on T-topologies” (with L. Prelli) J. Math. Soc. Japan 68 (1) (2016) 347-381.
  • “Invariance of o-minimal cohomology with definably compact supports” (with L. Prelli) Confluentes Math. 7 (1) (2015) 35-53.
  • “The six Grothendieck operations on o-minimal sheaves” (with L. Prelli) C. R. Acad. Sci. Paris. Ser. I 352 (6) (2014) 455-458.
  • “Coverings by open cells” (with P. Eleftheriou and L. Prelli) Arch. Math. Logic 53 (3-4) (2014) 307-325.
  • “The universal covering map in o-minimal expansions of groups” (with P. Eleftheriou and L. Prelli) Topology Appl. 160 (13) (2013) 1530-1556.
  • “Discrete subgroups of locally definable groups” (with A. Berarducci and M. Mamino) Selecta Math. (New Series) 19 (3) (2013) 719-736.
  • “A note on generic subsets of definable groups” (with G. Terzo) Fund. Math. 215 (1) (2011) 53-65.
  • “v*-algebras, independence algebras and logic” (with J. Araújo and S. Givant) Int. J. Algebra Comp. 21 (7) (2011) 1237-1257.
  • “Invariance results for definable extensions of groups” (with G. Jones and N. Peatfield) Arch. Math. Logic 50 (1-2) (2011) 19-31.
  • “On the Euler characteristic of definable groups” Math. Logic Quart. 57 (1) (2011) 44-46.
  • “Poincaré – Verdier duality in o-minimal structures” (with L. Prelli) Ann. Inst. Fourier Grenoble 60 (4) (2010) 1259-1288.
  • “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

  • “What are o-minimal sheaves” in Proceedings of the RIMS Symposium on New Developments of Independence in Model Theory, RIMS Kokyuroku, Kyoto Univ. 1718 (10) (2010) 92-101.
  • “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.

Books

  • “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.

Thesis

  • “O-minimal expansions of groups” DPhil. Thesis (2000), University of Oxford, England.