Joan-C. Lario
Departament de Matemàtiques, DMA2
UPC

Facultat de Matemàtiques i Estadística Telèfon: 34 93 413 7686
Pau Gargallo 5 Fax: 34 93 413 7701
E-08028 Barcelona E-mail: Joan.Carles.Lario@upc.edu

Seminari de Teoria de Nombres

Higher rank L-functions: Theory and Computations

Publicacions i CV

  • Canonical modular parametrizations of Gross's elliptic curves A(p)
    González, J.; Lario, J-C.
    (submitted)
  • Modular parametrizations of CM elliptic curves
    González, J.; Lario, J-C.
    (submitted)
  • On sharply k-transitive Galois extensions
    Gómez-Molleda, M.A.; Lario, J-C.
    (submitted)
  • Plane quartic twists of X(5,3)
    Fernández, J.; González, J.; Lario, J-C.
    Canadian Mathematical Bulletin  50 (2007), 196--205.
  • On elliptic Galois representations and genus-zero modular units
    Fernández, J.; Lario, J-C.
    Journal Théorie des Nombres de Bordeaux 19 (2007), 141--165.
  • Rational points on twists of X0(63)
    Bruin, N; Fernández, J.; González, J.; Lario, J-C.;
    Acta Arith. 126 (2007), 361--385.
  • A note on dihedral polynomials of prime degree
    Lario, J-C.; Masdeu, M.
    Indian Journal of Pure and Applied Math. 36 (2005), 300--305.
  • On twists of the modular curves X(p)
    Fernández, J.; Lario, J-C.; Rio, A.
    Bull. London Math. Soc. 37 (2005), 342--350.
  • Arithmetic of Q-curves
    González, J.; Lario, J-C.; Quer, J.
    in Modular Curves and Abelian Varieties, Progress in Math. 224 (2004), 125--139.
  • Modular Curves and Abelian Varieties
    Cremona, J.; Lario, J-C.; Quer, J.; Ribet, K.; eds.
    Progress in Mathematics, 224. Birkhäuser (2004), 125--139.
  • Octahedral extensions arising form Q-curves of degree 2
    Fernández, J.; Lario, J-C.; Rio, A.
    Canadian Journal of Mathematics 54 (2002), no. 6, 1202--1228.
  • Some computations with Hecke rings and deformation rings
    Lario, J-C.; Schoof, R.
    Experimental Math.     11 (2002), no. 2, 303--311.
  • On elliptic Q-curves and principal quartics
    Fernández, J.; Lario, J-C.; Rio, A.
    Proceedings of the Workshop on Number Theory 2001,
    Waseda University (Japan),
    11-13 March 2001.
  • Q-curves and their Manin ideals
    González, J.; Lario, J-C.
    Amer. Journal of Math.123 (2001), 385--423.
  • On curves of genus 2 which Jacobian is of GL2-type
    Cardona, G.; González, J.; Lario, J-C.; Rio, A.
    Manuscripta Mathematica 98 (1999), 37--54.
  • Galois graphs: Walks, Trees, and Automorphisms
    Brunat, J-M.; Lario, J-C.
    Journal of Algebraic Combinatorics 10     (1999), 135--148.
  • Artimetical problems in Number Fields, Abelian Varieties and Modular Forms
    Bayer, P., et. al.
    Contributions to Science 2, no.1 (1999), 125--145.
  • Rational and Elliptic parametrizations of Q-curves
    González, J.; Lario, J-C.
    Journal of Number Theory 72 (1998), 13--31.
  • Elliptic modularity for octahedral Galois representations
    Lario, J-C.; Rio, A.
    Math. Res. Lett. 3 (1996), no. 3, 329--342.
  • An octahedral-elliptic type equality in Br2(k)
    Lario, J-C.; Rio, A.
    C. R. Acad. Sci. Paris Sér. I Math. 321(1995), no. 1, 39--44.
  • On Serre's conjecture (3.2.4 ?) and vertical Weil curves
    Lario, J-C.
    Advances in number theory (Kingston, ON, 1991),     281--291, Oxford Sci. Publ.,
    Oxford Univ. Press, New York, 1993.
  • Serre's conjecture on Galois representations attached to Weil curves with additive reduction
    Lario, J-C.
    Journées Arithmétiques, 1991 (Geneva).
    Astérisque No. 209 (1992), 15, 247--255.
  • On Galois representations defined by torsion points of modular elliptic curves
    Bayer, P.; Lario, J-C.
    Compositio Math. 84 (1992), no. 1, 71--84.

CV (resum)

1991 Doctor en Ciències Matemàtiques (Universitat de Barcelona).
Directora de tesi: Dra. Pilar Bayer
1986 Llicenciat en Ciències Matemàtiques (Universitat de Barcelona)
1993- Professor TU (UPC)
1990-1993 Professor TEU (UPC)
1986-1990 Professor Associat (UPC)
2004 Visiting at Harvard University (Boston)
2002 Visiting at Instituto Nazionale di Alta Matematica Francesco Severi (INDAM) and Dipartimento di Matematica de la Università di Roma Tor Vergata.
2001 Visiting at Advanced Research Institue for Science and Engineering, University of Waseda (Tokyo)
1997 Visiting at Waseda Univeristy and Chuo University (Tokyo)
1992-1993 Visiting Scholar at Harvard University (Boston)
1992 Premi Ferran Sunyer i Balaguer, ex-aequo (Institut d'Estudis Catalans)
1996-1999 Director del Departament de Matemàtica Aplicada II (UPC)
Participació en Projectes Científics subvencionats
2006-2010 Variedades abelianas y Teoría de Galois (MEC)
2003-2006 Curvas y variedades abelianas modulares (MEC)
2003-2006 Variedades abelianas modulares (MEC)
2005-2008 i 2002-2004 Grups de recerca consolidats (Generalitat de Catalunya)
1999 Curvas modulares: aplicaciones criptográficas (CCD-UPC; La Habana)
1997-1999 Aritmética de Q-curvas (DGICYT)
1993-1996 Formas modulares y representaciones de Galois (DGICYT)
1992-1993 Supersingular Galois representations and Weil curves
(Post-doc, DGICYT)
1990-1993 Representaciones de Galois aritmético-geométricas (DGICYT)
1989-1990 Propiedades aritméticas de las formas modulares
(Acciones integradas, MEC)
1988-1990 Algoritmes en teoria de nombres (Pre-competitius, UPC)
1987-1989 Aplicaciones aritméticas de las curvas elípticas (CICYT)
Conferències invitades, comunicacions i cursos
2006 Sharply k-transitive Galois extensions (Chuo University, Japan)
2006 Polígonos lemniscáticos (Universidad de Málaga)
2006 Gauss i els polígons (Jornada Gauss, UPC)
2004 Modular parametrizations of CM elliptic curves (Number Theory Seminar, Harvard University)
2004 Arithmetic of Q-curves (Euro-conference at CRM)
2002 Principal quartics and embedding Galois problems (Instituto Nazionale di Alta Matematica Francesco Severi, Roma)
2001 3-adic Hecke deformation rings (University of Waseda, Tokyo)
2001 Principal quartics and quadratic Q-curves (Workshop on Number Theory, Tokyo)
2000 Q-curves and their Manin ideals (MSRI at Berkeley, California)
2000 Explicit computations on Hecke deformation rings (EACA)
1999 Manin ideals for Q-curves (Number Theory Seminar, Harvard University)
1999 Curvas elípticas modulares sobre cuerpos de números (Univ. Aut. Madrid)
1999 Elliptic curves over Q-bar and their Manin invariants
(Journées Arithmétiques, Univ. Roma, Italia)
1997 Geometry of some algebraic extensions (Tokyo Denki University, Japan)
1997 Abelian surfaces and octahedral type problems (Waseda University, Japan)
1997 Q-curves and abelian varieties of GL2-type (Chuo University, Japan)
1997 Elliptic modularity and Galois embedding problems (Waseda University)
1995 Octahedral extensions and modular elliptic curves
(Fermat's Conference, Boston University)
1995 Mini-curs de Magma (STNB, Universitat de Barcelona)
1994 Mathematica a l'entorn del Teorema de Fermat
(Col·legi oficial de Doctors i Llicenciats de Catalunya)
1993 Modular elliptic curves over number fields
(Journées Arithmétiques, Bordeaux)
1993 Detecting Q-curves (Number Theory Seminar, Harvard University)
1992 Représentations galoisiennes des courbes elliptiques verticales
(Séminaire de TN, U. de Bordeaux)
1992 Grups amb Cayley (Seminari de software matemàtic, UPC)
1991 Serre's conjecture (3.2.4?) and elliptic curves
(Journées Arithmétiques, Ginebra)
1991 Ordinary Galois representations for p-torsion points
(CNTA, Kingston-Ontario, Canadá)
1991 Grafos parabólicos
(Seminario de Algebra y Geometría, Univ. Complutense de Madrid)
1990 Computing Serre's invariants: weight and level
(Algorithmes en théorie des nombres, Luminy-Marsella)
1989 La conjecture de Serre sur les courbes elliptiques
(Frey-Zimmer-Lamprecht Seminar, U. des Saarlandes, Alemania)

Darrera actualitzacio: Juliol 6, 2008