Joan-C. Lario

Departament de Matemàtiques, MA2

UPC

Seminari de Teoria de Nombres

• STNB (UB-UAB-UPC): Informació
• STNB @ UPC: Informació

Small Finite Groups: subgroup lattices and Galois realizations

• F. Fité, J.-C. Lario, A. Roig: (pdf) / (html)

Publicacions

• Cropping Euler factors of modular L-functions González, J.; Jiménez, J.; Lario, J-C. (ArXiv.org) to appear in Forum Math.
• On sharply k-transitive Galois extensions Gómez-Molleda, M.A.; Lario, J-C. Med. Jour. of Math. 4, vol. 8 (2011), 621--636.
• Modular elliptic directions with complex multiplication (with an application to Gross's elliptic curves) González, J.; Lario, J-C. Commentarii Math. Hel. 86 (2011), 317--351.
• Deconstruction of a Dirichlet-Nazimow formula Gómez-Molleda, M.A.; Lario, J-C. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, Serie A. Matemáticas 105 (2011), 109--117.
• 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.
• Representacions de Galois i corbes el·líptiques Lario, J-C. Tesi doctoral TDX

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 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 (Institut d'Estudis Catalans)
• 1996-1999
  Director del Departament de Matemàtica Aplicada II (UPC)
  

• 2010-2012
  Aritmética de variedades algebraicas: teoría y computación (MICINN)
• 2006-2010
  Variedades abelianas y Teoría de Galois (MEC)
• 2003-2006
  Curvas y variedades abelianas modulares (MEC)
• 2003-2006
  Variedades abelianas modulares (MEC)
• 2009-2013
  Grups de recerca consolidats (Generalitat de Catalunya)
• 2005-2008
  Grups de recerca consolidats (Generalitat de Catalunya)
• 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)
  

• 2011
  Fité, F. L-Functions and artin representations attached to twisted abelian varieties
• 2003
  Fernández, J. Elliptic realization of Galois representations

• 2010
  Cropping Euler Factors of modular L-functions (Galois Theory and Explicit Methods: Final conference, Bercelona)
• 2009
  Efecto twist en L-series de curvas de género >=2 (Universidad de Salamanca)
• 2008
  Nearfields y sus aplicaciones (Universidad del País Vasco)
• 2008
  Optimal quotients of modular elliptic curves over number fields (Waseda University, Japan)
• 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)