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Number Theory Research
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Publications
Web data Bases
Some publications are
available from: 1. MathSciNet Articles in
international journals
1.
Crespo, T.; Hajto, Z.; Sowa,
E.: Picard-Vesssiot theory for real fields,
submitted. 2.
Crespo, T.; Hajto, Z.: Picard-Vessiot theory and the Jacobian
problem, Israel J. Math., 186 (2011), 401–406. 3.
Crespo, T.; Sowa, E.: Quadratic fields and public key
cryptography,
submitted. 4. 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. 5. Crespo, T.; Hajto, Z.: On vectorial polynomials and coverings in characteristic 3. Proc. Amer. Math. Soc., 134 (2006), 23-29. 6. Crespo, T.; Hajto, Z.: Galois embedding problems and symmetric powers. Math. Scand. 97 (2005), 5-10. 7. Crespo, T.; Hajto, Z.: The Valentiner group as Galois Group. Proc. Amer. Math. Soc. 133 (2005), 51-56. 8. Crespo, T.: 2S4*Q8-extensions in characteristic 3. Proc. Amer. Math. Soc. 132 (2004), 691-695. 9. Crespo, T.; Hajto, Z.: Differential Galois realization of double covers. Ann. Inst. Fourier (Grenoble), 52 (2002), 1017-1025. 10. Crespo, T.; Hajto, Z.: Finite linear groups as differential Galois groups. Bull. Polish Acad. Sci. Math. 49 (2001), 361-373. 11. Crespo, T.; Hajto, Z.: Recouvrements doubles comme groupes de Galois differéntiels. C. R. Acad. Sci. Paris Sér. I Math. 333 (2001), 271-274. 12. Crespo, T.; Hajto, Z.: Primitive unimodular groups of degree 2 as differential Galois groups. J. Algebra, 229 (2000), 678-694. 13. 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. 14. Crespo, T.: Extensions cycliques de degré 8. C. R.
Acad. Sci. Paris Sér. I Math. 329 (1999),
753-756. 15. Crespo, T.: Construction of 2mSn -fields containing a C2m-field. J. Algebra 201 (1998), 233-242. 16. Crespo, T.: Galois representations, embedding problems and modular forms. Collect. Math. 48 (1997), 63-83. 17. Crespo, T.: Explicit Galois realization of C16-extensions of An and Sn. Contemp. Math. 186 (1995), 3-14. 18. Crespo, T.: Explicit Galois realizations of central extensions of the symmetric group with kernel a cyclic 2-group. Acta Arith. 70 (1995), 183-192. 19. Crespo, T.: C4-extensions of Sn as Galois groups. Math. Scand. 76 (1995), 214-220. 20. Crespo, T.: Central extension of the alternating group as galois groups. Acta Arith. (1994), 229-236. 21. Crespo, T.: Extensions de An par C4 comme groupes de Galois. C. R. Acad. Sci. Paris Sér. I (1992), 625-628. 22. Crespo, T.: Embedding Galois problems and reduced norms. Proc. Amer. Math. Soc. (1991), 637-639. 23. Crespo, T.: Explicit solutions to embedding problems associated to orthogonal Galois representations. J. Reine Angew. Math. 409 (1990), 180-189. 24. Crespo, T.: Explicit construction of 2Sn Galois extensions. J. Algebra 129 (1990), 312-319. 25. Crespo, T.: Explicit construction of Ãn type fields. J. Algebra 127 (1989), 452-461. 26. Crespo, T.: Embedding problems with ramification conditions. Arch. Math. 53 (1989), 270-276. Articles in
national journals
1.
Crespo, T.: Serge Lang 1927-2005. Matematicalia vol. 1 n. 4, 2005. Books
1. Crespo, T.; Hajto, Z. (eds.): Algebraic Methods in Dynamical Systems. Banach Center Publications, Polish Academy of Sciences, Institute of Mathematics vol. 94, Warsaw (Poland), 2011, ISBN: 978-83-86806-13-3 . 2.
Crespo, T.; Hajto, Z.: Algebraic Groups and Differential
Galois Theory,
Graduate Studies in Mathematics 122, American Mathematical Society, 2011. 3.
Crespo, T.; Hajto, Z.: Introduction to Differential
Galois Theory,
Wydawnictwo PK, Cracow, Poland, 2007, ISBN:
978-83-7242-453-2. 4.
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. 5.
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 .
Contributions to books
1.
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. 2.
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. 3.
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. 4.
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. 6. 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. 6.
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. 7.
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. 8.
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. 9.
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
1.
Picard-Vessiot
extensions for ordinary differential fields with algebraically closed fields
of constants: Existence and uniqueness, The Ubiquity of Wronskians,
IMPANGA Seminar, Warsaw, Poland, October 13, 2011. 2.
Galois correspondence in
differential Galois theory, The
Ubiquity of Wronskians, IMPANGA Seminar, Warsaw,
Poland, October 15, 2011. 3.
On Umemura’s automorphic extensions, Thematic Section
Algebraic Differential Equations and Foliations, Israeli-Polish Mathematical
Meeting, Lodz, Poland, September 11-15, 2011. 4.
Teoría de Galois de extensiones
no normales, Conferencia plenaria, Cuartas Jornadas de Teoría de Números, Bilbao, 11-15 de julio
de 2011. 5.
On the Galois embedding problem associated to
the nontrivial triple cover of the alternating group of degree 6, 27th Journées arithmétiques, Vilnius, Lithuania, 2011, June 27th-July
1st. 6. Transcendència de valors de la funció exponencial, Seminari de Teoria de Nombres (UB-UAB-UPC):Transcendència. Barcelona, 2011. 7. Formes modulars i operadors diferencials, Seminari de Teoria de Nombres (UB-UAB-UPC): Monogràfic sobre treballs de Don Zagier. Vilanova i la Geltrú, 2008. 8.
Quadratic fields and Cryptography, Cryptography Seminar, Theoretical Computer Science, Faculty of Mathematics and Computer Science, Jagiellonian University,
January 2008. 9.
Algebraic solutions of differential equations, Instytut
Matematyki, Politechnika Krakowska, 2006. 10. Soluciones algebraicas
de ecuaciones diferenciales. Seminari
de Teoria de Nombres
(UB-UAB-UPC): Successions d'Sloane, 2006. 11. Problemes d'inmersió
galoisiana en característica
positiva. Seminari de Teoria de Nombres (UB-UAB-UPC),
2006. 12. La desigualtat de grans garbells. Seminari de Teoria de Nombres (UB-UAB-UPC): Mètodes de garbell. Barcelona, 2005. 13. Vectorial polynomials and coverings in characteristic 3. AMS meeting. Lubbock (USA), 2005. 14. Dessins d'enfants en gènere 1. Seminari de Teoria de Nombres (UB-UAB-UPC): Dibuixos d'infants. Barcelona, 2004. 15. El mètode de Demjanenko-Manin. Seminari de Teoria de Nombres (UB-UAB-UPC): Punts racionals de corbes algebraiques. Barcelona, 2003. 16. 2S4*Q8-extensions in characteristic 3. Explicit methods in Galois theory and Arithmetic. Leiden (The Netherlands), 2002. 17. Differential Galois realizations of covers. Arithmetic and differential Galois groups. Oberwolfach (Germany), 2002. 18. 2S4*Q8-extensions. Théorie
de Galois et Géometrie. Luminy
(France), 2001. 19. Teoria de Galois diferencial. Seminari de Teoria de Nombres (UB-UAB-UPC). Barcelona, 2001. 20. Cyclic extensions of degree 8. Algorithmic Galois Theory. Dagstuhl (Germany), 1999. 21. Construction of 2rSn-fields. Brauer Groups and Galois Groups. Haifa (Israel), 1996. 22. Galois representations, embedding problems and modular forms. Journées Arithmetiques. Barcelona, 1995. 23. Galois realization of central extensions of alternating groups. AMS Conference Recent developments in the Inverse Galois Problem. Seattle (USA), 1993. 24. Construction of S̃4-fields and modular forms of weight 1. Third Conference of the Canadian Number Theory Association. Kingston (Canada), 1991. 25. Résolution explicite de doubles recouvrements comme groupes de Galois. Journées Arithmetiques. Marsella (France), 1989. 26. Construcción efectiva de soluciones a problemas de inmersión de la Teoría de Galois. Jornadas Hispano-Lusas. Valladolid, 1988. Other academic
activities
Scientist in charge of the European Network in Galois Theory Barcelona node
Ph D. Students
· Montserrat Vela, Álgebras Z/nZ-graduadas y problema de inmersión galoisiana. Thesis. Universitat de Barcelona, 1998. · Florian Heiderich, Galois theory of module fields. Thesis. Universitat de Barcelona, 2010. Congress organization
·
Organization of the GTEM Final Conference at the Faculty of Mathematics of
the University of Barcelona, September 2010. ·
Organization with Zbigniew Hajto of the ESF Conference "Algebraic
Methods in Dynamical Systems" at the Mathematical Research and Conference
Center, Bedlewo (Poland), May 2010. · 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. · Organization with Zbigniew Hajto of the "Differential Galois Theory" workshop at the Mathematical Conference Center. Bedlewo (Poland), 2001. ·
Member of the Organizing Committee of the 3rd European Congress in
Mathematics, Barcelona, 2000. |
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© Universitat
de Barcelona |
Edició: Seminari de Teoria
de Nombres |
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