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Teresa Crespo Vicente |
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| Departament d'Àlgebra i Geometria |
| Facultat de Matemàtiques |
| Universitat de Barcelona |
| Gran Via de les Corts Catalanes, 585 |
| 08007 Barcelona. SPAIN |
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| Telèfon: (34) 93 402 1622 |
Fax: (34) 93 402 1601
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| Correu electrònic: teresa.crespo at ub.edu |
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Publications
Web data Bases
Some publications are available from:
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MathSciNet
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Zentralblatt MATH
Articles in international journals
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Crespo, T.; Hajto, Z.: Picard-Vessiot theory and
Jacobian problem, submitted.
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Crespo, T.; Sowa, E.:
Quadratic fields and public key cryptography,
submitted.
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Crespo, T.; Hajto, Z.: Extensions with Galois group
2+S4*D8 in characteristic 3. C. R. Acad. Sci. Paris Sér. I Math.,
346 (2008), 611–614.
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Crespo, T.; Hajto, Z.: On vectorial polynomials and coverings in characteristic 3. Proc. Amer. Math. Soc., 134 (2006), 23-29.
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Crespo, T.; Hajto, Z.: Galois embedding problems and symmetric powers. Math. Scand. 97 (2005), 5-10.
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Crespo, T.; Hajto, Z.: The Valentiner group as Galois Group. Proc. Amer. Math. Soc. 133 (2005), 51-56.
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Crespo, T.: 2S4*Q8-extensions in characteristic 3. Proc. Amer. Math. Soc. 132 (2004), 691-695.
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Crespo, T.; Hajto, Z.: Differential Galois realization of double covers. Ann. Inst. Fourier (Grenoble), 52 (2002), 1017-1025.
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Crespo, T.; Hajto, Z.: Finite linear groups as differential Galois groups. Bull. Polish Acad. Sci. Math. 49 (2001), 361-373.
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Crespo, T.; Hajto, Z.: Recouvrements doubles comme groupes de Galois differéntiels. C. R. Acad. Sci. Paris Sér. I Math. 333 (2001), 271-274.
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Crespo, T.; Hajto, Z.: Primitive unimodular groups of degree 2 as differential Galois groups. J. Algebra, 229 (2000), 678-694.
Bayer, P.; Crespo, T. et al.: Arithmetical problems in number fields, abelian varieties and modular forms.
Contributions to Science 1 (1999), no. 2, 125-145.
Crespo, T.: Extensions cycliques de degré 8. C. R. Acad. Sci. Paris Sér. I Math. 329 (1999), 753-756.
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Crespo, T.: Construction of 2mSn
-fields containing a C2m-field. J. Algebra 201 (1998), 233-242.
Crespo, T.: Galois representations, embedding problems and modular forms. Collect. Math. 48 (1997), 63-83.
Crespo, T.: Explicit Galois realization of C16-extensions
of An
and
Sn. Contemp. Math. 186 (1995), 3-14.
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Crespo, T.: Explicit Galois realizations of central extensions of the symmetric group with kernel a cyclic 2-group. Acta Arith. 70 (1995), 183-192.
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Crespo, T.:
C4-extensions of Sn as Galois groups. Math. Scand. 76 (1995), 214-220.
Crespo, T.: Central extension of the alternating group as galois groups. Acta Arith. (1994), 229-236.
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Crespo, T.: Extensions de
An
par
C4 comme groupes de Galois. C. R. Acad. Sci. Paris Sér. I (1992), 625-628.
Crespo, T.: Embedding Galois problems and reduced norms. Proc. Amer. Math. Soc. (1991), 637-639.
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Crespo, T.: Explicit solutions to embedding problems associated to orthogonal Galois representations. J. Reine Angew. Math. 409 (1990), 180-189.
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Crespo, T.: Explicit construction of 2Sn
Galois extensions. J. Algebra 129 (1990), 312-319.
Crespo, T.: Explicit construction of
Ãn type fields. J. Algebra 127 (1989), 452-461.
Crespo, T.: Embedding problems with ramification conditions. Arch. Math. 53 (1989), 270-276.
Articles in national journals
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Crespo, T.: Serge Lang 1927-2005. Matematicalia vol. 1 n. 4, 2005.
Books
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Crespo, T.; Hajto, Z.: Introduction to Differential Galois Theory, Wydawnictwo PK, Cracow, Poland,
2007, ISBN: 978-83-7242-453-2.
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Crespo, T.; Xarles, X. (eds.): Dibuixos d'infants. Notes del Seminari de Teoria de Nombres (UB-UAB-UPC), vol. 12; Barcelona 2004, ISBN: 84-934244-0-4.
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Crespo, T.; Hajto, Z. (eds.): Differential
Galois theory, Papers from the workshop held in Będlewo,
May 28 - June 1, 2001. Banach Center Publications, Polish Academy of Sciences Institute of Mathematics. vol. 58, Warsaw (Poland), 2002, ISSN 0137-6934 .
- Bayer, P.; Crespo, T. (eds.): Proceedings 19th Journées Arithmétiques. Collect. Math. vol. XLVIII 1-2. ISSN: 0010-0757.
Contributions to books
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Crespo, T.: Formes
modulars i operadors diferencials. Monogràfic sobre
treballs de Don Zagier. Notes del Seminari de Teoria de Nombres
(UB-UAB-UPC), vol. 18, p.31-47; Barcelona 2009,
ISBN:978-84-934244-8-0.
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Crespo, T.: Soluciones algebraicas de ecuaciones
diferenciales. Criptografía: mini-curso. Galois representations
and Diophantine problems. Successions de Sloane. Notes del Seminari de Teoria de Nombres (UB-UAB-UPC), vol. 15, p
147-164; Barcelona 2006, ISBN: 84-934244-4-7.
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Crespo, T.: Gran Garbell. Mètodes de Garbell. Notes del Seminari de Teoria de Nombres (UB-UAB-UPC), vol. 13, p 89-96; Barcelona 2005, ISBN: 84-934244-2-0.
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Crespo, T.: Dessins d'enfants en gènere 1; Dibuixos d'infants. Notes del Seminari de Teoria de Nombres (UB-UAB-UPC) . vol. 12, p 65-78; Barcelona, 2005 ISBN: 84-934244-0-4.
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Crespo, T.: 2S4*Q8-extensions; Algebra, Arithmetic and Geometry with Applications: papers from S.S. Abhyankar's 70th birthday Conference, C. Christensen et al. (eds.). Springer p 263-272, Berlin, 2004 ISBN: 3-540-00475-0.
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Crespo, T.: Construction of
S̃4-fields
and modular forms of weight 1. Advances in Number Theory. vol. 10, Oxford University Press p 255-260, Oxford 1993 ISBN: 0-19-853668-2.
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Crespo, T.; Maureso, M.: Constants modulars de
X1(N); Corbes Modulars: Taules. Notes del Seminari de Teoria de Nombres (UB-UAB-UPC), vol. 1, p 15-18; Barcelona, 1992 ISBN: 84-604-3577-6.
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Crespo, T.: Equacions de X0(N)/<ωm>;
Corbes Modulars: Taules. Notes del Seminari de Teoria de Nombres (UB-UAB-UPC), vol. 1, p 257-260; Barcelona, 1992 ISBN: 84-604-3577-6.
Crespo, T.: Demostración de W. Burns de la conjectura de Eisenbud-Evans; Notas del Seminario de Álgebra conmutativa y Geometría algebraica. vol 10, p 17-26.
Lectures
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Formes modulars i operadors diferencials, Seminari de
Teoria de Nombres (UB-UAB-UPC): Monogràfic sobre treballs de Don
Zagier. Vilanova i la Geltrú, 2008.
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Quadratic fields and Cryptography, Cryptography
Seminar,
Theoretical
Computer Science,
Faculty of
Mathematics and Computer Science,
Jagiellonian
University, January 2008.
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Algebraic solutions of differential equations, Instytut Matematyki, Politechnika Krakowska, 2006.
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Soluciones algebraicas de ecuaciones diferenciales. Seminari de Teoria de Nombres (UB-UAB-UPC): Successions d'Sloane, 2006.
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Problemes d'inmersió galoisiana en característica positiva. Seminari de Teoria de Nombres (UB-UAB-UPC), 2006.
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La desigualtat de grans garbells. Seminari de Teoria de Nombres (UB-UAB-UPC): Mètodes de garbell. Barcelona, 2005.
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Vectorial polynomials and coverings in characteristic 3. AMS meeting. Lubbock (USA), 2005.
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Dessins d'enfants en gènere 1. Seminari de Teoria de Nombres (UB-UAB-UPC): Dibuixos d'infants. Barcelona, 2004.
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El mètode de Demjanenko-Manin. Seminari de Teoria de Nombres (UB-UAB-UPC): Punts racionals de corbes algebraiques. Barcelona, 2003.
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2S4*Q8-extensions in characteristic 3. Explicit methods in Galois theory and Arithmetic. Leiden (The Netherlands), 2002.
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Differential Galois realizations of covers. Arithmetic and differential Galois groups. Oberwolfach (Germany), 2002.
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2S4*Q8-extensions. Théorie de Galois et Géometrie. Luminy (France), 2001.
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Teoria de Galois diferencial. Seminari de Teoria de Nombres (UB-UAB-UPC). Barcelona, 2001.
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Cyclic extensions of degree 8. Algorithmic Galois Theory. Dagstuhl (Germany), 1999.
Construction of 2rSn-fields. Brauer Groups and Galois Groups. Haifa (Israel), 1996.
Galois representations, embedding problems and modular forms. Journées Arithmetiques. Barcelona, 1995.
Galois realization of central extensions of alternating groups. AMS Conference Recent developments in the Inverse Galois Problem. Seattle (USA), 1993.
Construction of S̃4-fields and modular forms of weight 1. Third Conference of the
Canadian Number Theory Association. Kingston (Canada), 1991.
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Résolution explicite de doubles recouvrements comme groupes de Galois. Journées Arithmetiques. Marsella (France), 1989.
Construcción efectiva de soluciones a problemas de inmersión de la Teoría de Galois. Jornadas Hispano-Lusas. Valladolid, 1988.
Other academic activities
Ph D. Students
Congress organization
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Organization with Zbigniew Hajto and Andy Magid of the Special Session "Differential Galois Theory" at the First Joint Meeting between the AMS and the RSME. Sevilla, 2003.
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Organization with Zbigniew Hajto of the "Differential Galois Theory" workshop at the Mathematical Conference Center. Bedlewo (Poland), 2001.
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Member of the Organizing Committee of the 3rd European Congress in Mathematics, Barcelona, 2000.
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