Personal Data

Full name

Orlando Manuel Bartolomeu Neto

Publishing name

Orlando Manuel Bartolomeu Neto

Birthday

1960-02-13T00:00:00

Academic Degrees

DOUTORAMENTO(5)

Degree date

1991

Final grade

--

Degree granting institution

Outra

School / College / Campus

Other

Thesis title

Blow up for a Holonomic System

Supervisor

Co-supervisor

Scientific area

D-modules, Algebraic Geometry

LICENCIATURA(5)

Degree date

1982

Final grade

18

Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title

-

Supervisor

Co-supervisor

Scientific area

Matmática

Profissional activity

Period Position Institution
1991-2000 Professor Auxiliar Universidade de Lisboa
2000- Professor Associado Universidade de Lisboa

Area of scientific activity

Area of scientific activity

My main interests are:
- the local study of singularities: topology of singularities and singularities of Legendrian varieties.
- the local study of systems of overdetermined linear partial differential equations (D-modules) near a singular point of its characteristic variety.

Specialization domain

-

Current main scientific area

Topologia do complementar de uma singularidades. Grupo fundamental local de uma singularidade. Representações lineares de grupos fundamentais. D-modulos holonomos regulares. Deformações de conjuntos analiticos. Espaços de moduli de singularidades. Resolução de singularidades. Estrutura local das variedades Legendrianas.

Other scientific activities

Membro da Comissão Científica Coordenadora do Programa Gulbenkian Novos Talentos em Matemática (2000- )

Experience as scientific advisor

Teses de doutoramento:
Pedro C. Silva - Estrutura Local dos Sistemas Holonomos regulares 2003
João Cabral - Singularidades das Variedades Legendrianas 2008
António Araújo - Legendrian Varieties and Quasi-Ordinary Hypersurfaces 2011

Teses de Mestrado:
Orientação de 10 teses de mestrado em Matemática pré-Bolonha, especialidade de Geometria.

Todas na Universidade de Lisboa.

Pos Docs:
Violaine Colin- (D-modulos) 1999
Fuensanta Aroca (Singularidades) 2001
Jawad Snoussi (Singularidades) 2001
Em curso: uma tese de doutoramento.

Participations in R&D projects

Coordenador:

PBICCMAT215395 Análise Microlocal e Teoria das Singularidades,1995-1998,
Programa Base de Investigação Científica e Tecnologica, 1992-1995.

Acção integrada Luso Espanhola Lisboa-Valladolid 1992-1993.


Coordenador do Grupo Português:

Projecto TMR Singularities of Differential Systems and Foliations, Comissão Europeia, 1993-1996.

Projecto TMR ERBFMRXCT960040 Singularities and Differential Equations, Comissão Europeia, 1996-2000.


Participante:

Projectos plurianuais a que concorreu o CMAF - Centro de matemática e aplicações fundamentais.

Acção integrada Luso Espanhola Lisboa-Valladolid 2003-2004.

Awards

Year Award Awarding entity
1986 Bolsa de doutoramento Governo Japonês

Publications

Artigos em revistas de circulação internacional com arbitragem científica

  • With Jaime Gaspar, All Triangles at once
    The American Mathematical Monthly, Volume 122, 2015, Issue 10, pp 982

    with Rita Martins, On the group of germs of contact transformations,
    Portugaliae Math, Volume 72, Issue 4, 2015, pp. 393–406

    with A. Araújo, Limits of tangents of quasi-ordinary hypersurfaces: Proceedings of the American Mathematical Society 141 (2013), pp 1-11.


    with A. Araújo, Moduli of Germs of Legendrian Curves, Ann. Fac. Sci. Toulouse Math., Vol. XVIII, 4, 2009, pp pp. 645–657.

    with J. Cabral, Microlocal versal deformations of the plane curves y^k = x^n, C. R. Acad. Sci. Paris, Ser. I 347 (2009), pp 1409–1414.

    With Silva, P.C., The fundamental group of an algebraic link, C.R. Acad: Sci. Paris, Ser I.340 (2005) 141-146

    with Silva, Pedro C. Holonomic systems with solutions ramified along a cusp.
    C. R. Math. Acad. Sci. Paris 335 (2002), no. 2, 171--176.

    with Silva, Pedro C. On regular holonomic systems with solutions ramified along $y\sp k=x\sp n$.
    Pacific J. Math. 207 (2002), no. 2, 463--487.

    A microlocal Riemann-Hilbert correspondence. Compositio Math. 127 (2001), no. 3, 229--241

    Neto, Orlando Equisingularity and Lagrangean curves.
    Bull. London Math. Soc. 33 (2001), no. 5, 527--534

    with Sezinando, H. Band monoid languages revisited. Semigroup Forum 61 (2000), no. 1, 32--45.

    with Silva, F. C. Singular regular differential equations and eigenvalues of products of matrices.
    Linear and Multilinear Algebra 46 (1999), no. 1-2, 145--164.

    with Silva, F. C. On the recognition and rigidity problems for sums of matrices.
    Linear Algebra Appl. 293 (1999), no. 1-3, 73--84.

    with Sezinando, H. On the Schützenberger product of three copies of a free group.
    Internat. J. Algebra Comput. 8 (1998), no. 5, 533--551

    with Sezinando, H. Trees, band monoids and formal languages.
    Semigroup Forum 52 (1996), no. 2, 141--155.

    Systems of meromorphic microdifferential equations.
    Banach Center Publ., 33, 259--275,

    A desingularization theorem for Legendrian curves.
    Singularity theory (Trieste, 1991), 527--548,

    A desingularization theorem for systems of microdifferential equations.
    London Math. Soc. Lecture Note Ser., 201, 325--349.

    Blow up of a regular holonomic system along an isotropic submanifold.
    $D$-modules and microlocal geometry (Lisbon, 1990), 9--24, de Gruyter, Berlin, 1993

    Blow up for a holonomic system. Publ. Res. Inst. Math. Sci. 29 (1993), no. 2, 167--233


Publicações em actas de encontros científicos

  • Blow up of a regular holonomic system along an isotropic submanifold.
    $D$-modules and microlocal geometry (Lisbon, 1990), 9--24, de Gruyter, Berlin, 1993

Livros (autor)

  • Equações Diferenciais em Superfícies de Riemman, Textos de Matemática, Universidade de Lisboa, 1993.

    Tópicos de geometria, Umiversidade Aberta, 1999.

Teses

  • Blow up for a Holonomic System, tese de doutoramento, Universidade de Kyoto, 1991.

Communications

Outras comunicações orais

Cursos mais significativos que leccionei por convite:

Microlocal Analysis
CIMPA International School on Differential Systems
Sevilha, 2-13 September 1996

D-modules- uma introdução para "working mathematicians"
10 a 13 Junho de 2000
IST, Lisboa

Singularidades de las Curvas Legendrianas y de los Sistemas de Ecuaciones Diferenciales
13 Março a 22 de Abril de 2007
Universidade de Valladolid

Comunicações orais por convite

Microlocal Analysis and PDE\'s, Tokyo, 3-5 Setembro 1990
Blow up of Symplectic Manifolds and Logarithmic Microdifferential Operators

Singularities in Geometry and Topology, Lille, 3-8 de Junho de 1991
A desingularization Theorem for Systems of Microdifferential equations

College on Singularities, ICTP, Trieste, 19 Agosto-7 de Setembro de 1991
Blow up of a Holonomic System

Singularities on Microlocal Analysis, Varsóvia, November 3-5 1993
Desingularization of Legendrian Curves and Microdifferential Systems

Algebraic Geometry Workshop, Lisboa 12-14 Maio 1994
Desingularization of Legendrian Varieties and D-modules

Singularities and PDE\'s, Varsóvia 18-22 Abrial 1995
Equisingularity and generical projections of a Legendrian curve

Workshop on Invariant Factors of Matrices, Lisboa, 16-18 Setembro, 1996
Fuchsian Differential Equations and Eigenvalues of Products of Matrices

Matrices and group Representations, Coimbra, May 6-8, 1998
On the rigidity problem for sums of matrices

New Developments in Singularity Theory, Isaac Newton Institute, Cambridge, 31 July-11 August 2000
On a class of representations of the fundamental group of the complementary of an hypersurface

Joint Meeting American Mathematical Society - Real Sociedad Matematica Española, Sevilha June 18-21, 2003
D-modules and irreducible plane curves

Workshop on D-modules and Hypergeometric Functions, Lisbon, July 11 to 14, 2005
Towards a Local Theory of Special Functions on Several Complex Variables

Iberian Mathematical Meeting, Lisbon, February 9-11, 2007
Sistemas de EDP\'s associados a curvas algebricas planas

Algebraic Geometry, D-modules, Foliations and their interactions, Buenos Aires, 21 - 26 July, 2008
Microlocal versal deformations of plane curves

Formal and Analytic Solutions of Partial Differential Equations,
https://faspde16.wordpress.com/
Lisboa, 31 Agosto a 2 de Setembro de 2016
Rigid Local Systems

Iberian Meeting on Algebraic Analysis
http://imaa.fc.ul.pt/
Lisboa, 8 a 10 de Junho de 2016
Limits of Tangents