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Number Theory Research Group

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Inici UB

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Personal del Seminari

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Teresa Crespo Vicente

 

 

Departament d'Àlgebra i Geometria

 

Facultat de Matemàtiques

 

Universitat de Barcelona

 

Gran Via de les Corts Catalanes, 585

 

08007 Barcelona. SPAIN

 

Telèfon:  (34) 93 402 1622

Fax:  (34) 93 402 1601

Correu electrònic:  teresa.crespo at ub.edu

 

Publications

Web data Bases

Some publications are available from:

1.      MathSciNet

2.      Zentralblatt MATH

3.      arXiv

Articles in international journals

27.   Crespo, T.; Vela, M..: On the Galois embedding problem associated to the universal central extension of the alternating group of degree 6, J. Pure Appl. Algebra , 217 (2013), 2382-2386.

26.      Crespo, T.; Hajto, Z.; Sowa, E.: Picard-Vessiot theory for real fields, Israel J.  Math., 198 (2013), 75-90.

25.      Crespo, T.; Hajto, Z.; Sowa, E.: Constrained extensions of real type, C. R. Acad. Sci. Paris Sér. I Math, 350 (2012), 235-237.

24.      Crespo, T.; Hajto, Z.: Picard-Vessiot theory and the Jacobian problem, Israel J.  Math., 186 (2011), 401406.

23.      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.

22.      Crespo, T.; Hajto, Z.: On vectorial polynomials and coverings in characteristic 3. Proc. Amer. Math. Soc., 134 (2006), 23-29.

21.      Crespo, T.; Hajto, Z.: Galois embedding problems and symmetric powers. Math. Scand. 97 (2005), 5-10.

20.      Crespo, T.; Hajto, Z.: The Valentiner group as Galois Group. Proc. Amer. Math. Soc. 133 (2005), 51-56.

19.      Crespo, T.: 2S4*Q8-extensions in characteristic 3. Proc. Amer. Math. Soc. 132 (2004), 691-695.

18.      Crespo, T.; Hajto, Z.: Differential Galois realization of double covers. Ann. Inst. Fourier (Grenoble), 52 (2002), 1017-1025.

17.  Crespo, T.; Hajto, Z.: Finite linear groups as differential Galois groups. Bull. Polish Acad. Sci. Math. 49 (2001), 361-373.

16.  Crespo, T.; Hajto, Z.: Recouvrements doubles comme groupes de Galois differéntiels. C. R. Acad. Sci. Paris Sér. I Math. 333 (2001), 271-274.

15.  Crespo, T.; Hajto, Z.: Primitive unimodular groups of degree 2 as differential Galois groups. J. Algebra, 229 (2000), 678-694.

14.  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.

13.  Crespo, T.: Extensions cycliques de degré 8. C. R. Acad. Sci. Paris Sér. I Math. 329 (1999), 753-756.

12.  Crespo, T.: Construction of 2mSn -fields containing a C2m-field. J. Algebra 201 (1998), 233-242.

11.  Crespo, T.: Galois representations, embedding problems and modular forms. Collect. Math. 48 (1997), 63-83.

10.  Crespo, T.: Explicit Galois realization of C16-extensions of  An and Sn. Contemp. Math. 186 (1995), 3-14.

9.  Crespo, T.: Explicit Galois realizations of central extensions of the symmetric group with kernel a cyclic 2-group. Acta Arith. 70 (1995), 183-192.

8.  Crespo, T.: C4-extensions of Sn as Galois groups. Math. Scand. 76 (1995), 214-220.

7.  Crespo, T.: Central extension of the alternating group as Galois groups. Acta Arith. 66 (1994), 229-236.

6.  Crespo, T.: Extensions de  An par C4 comme groupes de Galois. C. R. Acad. Sci. Paris Sér. I  315 (1992), 625-628.

5.  Crespo, T.: Embedding Galois problems and reduced norms. Proc. Amer. Math. Soc. 112 (1991), 637-639.

4.  Crespo, T.: Explicit solutions to embedding problems associated to orthogonal Galois representations. J. Reine Angew. Math. 409 (1990), 180-189.

3.  Crespo, T.: Explicit construction of 2Sn Galois extensions. J. Algebra 129 (1990), 312-319.

2.  Crespo, T.: Explicit construction of  Ãn type fields. J. Algebra 127 (1989), 452-461.

1.  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                      

6.      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 .

5.      Crespo, T.; Hajto, Z.: Algebraic Groups and Differential Galois Theory, Graduate Studies in Mathematics 122, American Mathematical Society, 2011.

4.      Crespo, T.; Hajto, Z.: Introduction to Differential Galois Theory, Wydawnictwo PK, Cracow, Poland, 2007,  ISBN: 978-83-7242-453-2.

3.      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.

2.      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 .

1.      Bayer, P.; Crespo, T. (eds.): Proceedings of the 19th Journées Arithmétiques. Collect. Math. vol. XLVIII 1-2. ISSN: 0010-0757.

Contributions to books

9.      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.

8.      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.

7.      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.

6.      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.

5.      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.

4.      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.

3.      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.

2.      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.

1.      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     

38.       Hopf algebraic approach to Picard-Vessiot theory, Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian University, Cracow, Poland, May 30th 2014.

37.       Real and p-adic Picard-Vessiot fields, AMS Spring Central Sectional Meeting, Texas Tech University, Lubbock, Texas, Special Session on Differential Algebra and Galois Theory, April 11th 2014.

36.       Classification of real semisimple Lie algebras, Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian University, Cracow, Poland, December 20th 2013.

35.       Classification of split semisimple Lie algebras (2), Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian University, Cracow, Poland, November 15th 2013.

34.       Classification of split semisimple Lie algebras (1), Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian University, Cracow, Poland, November 8th 2013.

33.       Forms of Picard-Vessiot extensions, Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian University, Cracow, Poland, November 16th 2012.

32.       Galois cohomology and forms (2), Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian University, Cracow, Poland, November 9th 2012.

31.        Galois cohomology and forms , Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian University, Cracow, Poland, October 26th 2012.

30.       The work of Ellis Kolchin and beyond, 2012 Łojasiewicz lecture, preparatory workshop, Faculty of Mathematics and Computer Science, Jagiellonian University, Cracow, Poland, May 12th 2012.

29.      The origins of differential Galois theory, 2012 Łojasiewicz lecture, preparatory workshop, Faculty of Mathematics and Computer Science, Jagiellonian University, Cracow, Poland, May 12th 2012.

28.      Teoría de Galois diferencial, Conmemoración del segundo centenario del nacimiento de Galois, Bilbao, February 29th 2012.

27.   Teoria de Hopf-Galois, Seminari de Teoria de Nombres (UB-UAB-UPC): Teoria de Hopf-Galois. Barcelona, 2012.

26.     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.

25.     Galois correspondence in differential Galois theory, The Ubiquity of Wronskians, IMPANGA Seminar, Warsaw, Poland, October 15, 2011.

24.     On Umemura’s automorphic extensions, Thematic Section Algebraic Differential Equations and Foliations, Israeli-Polish Mathematical Meeting, Lodz, Poland, September 11-15, 2011.

23.     Teoría de Galois de extensiones no normales, Conferencia plenaria, Cuartas Jornadas de Teoría de Números, Bilbao, 11-15 de julio de 2011.

22.      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.

21.   Transcendència de valors de la funció exponencial, Seminari de Teoria de Nombres (UB-UAB-UPC):Transcendència. Barcelona, 2011.

20.  Formes modulars  i operadors diferencials, Seminari de Teoria de Nombres (UB-UAB-UPC): Monogràfic sobre treballs de Don Zagier. Vilanova i la Geltrú,  2008.

19.  Quadratic fields and Cryptography, Cryptography Seminar, Theoretical Computer Science, Faculty of Mathematics and Computer Science, Jagiellonian University, January 2008.

18.  Algebraic solutions of differential equations, Instytut Matematyki, Politechnika Krakowska, 2006.

17.  Soluciones algebraicas de ecuaciones diferenciales. Seminari de Teoria de Nombres (UB-UAB-UPC): Successions d'Sloane, 2006.

16.  Problemes d'inmersió galoisiana en característica positiva. Seminari de Teoria de Nombres (UB-UAB-UPC), 2006.

15.  La desigualtat de grans garbells. Seminari de Teoria de Nombres (UB-UAB-UPC): Mètodes de garbell. Barcelona, 2005.

14.  Vectorial polynomials and coverings in characteristic 3. AMS meeting. Lubbock (USA), 2005.

13.  Dessins d'enfants en gènere 1. Seminari de Teoria de Nombres (UB-UAB-UPC): Dibuixos d'infants. Barcelona, 2004.

12.  El mètode de Demjanenko-Manin. Seminari de Teoria de Nombres (UB-UAB-UPC): Punts racionals de corbes algebraiques. Barcelona, 2003.

11.  2S4*Q8-extensions in characteristic 3. Explicit methods in Galois theory and Arithmetic. Leiden (The Netherlands), 2002.

10.  Differential Galois realizations of covers. Arithmetic and differential Galois groups. Oberwolfach (Germany), 2002.

9.  2S4*Q8-extensions. Théorie de Galois et Géometrie. Luminy (France), 2001.

8.  Teoria de Galois diferencial. Seminari de Teoria de Nombres (UB-UAB-UPC). Barcelona, 2001.

7.  Cyclic extensions of degree 8. Algorithmic Galois Theory. Dagstuhl (Germany), 1999.

6.  Construction of 2rSn-fields. Brauer Groups and Galois Groups. Haifa (Israel), 1996.

5.  Galois representations, embedding problems and modular forms. Journées Arithmetiques. Barcelona, 1995.

4.  Galois realization of central extensions of alternating groups. AMS Conference Recent developments in the Inverse Galois Problem. Seattle (USA), 1993.

3. Construction of 4-fields and modular forms of weight 1. Third Conference of the Canadian Number Theory Association. Kingston (Canada), 1991.

2.  Résolution explicite de doubles recouvrements comme groupes de Galois. Journées Arithmetiques. Marsella (France), 1989.

1.  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.

 

Course Notes (in catalan)

Aritmètica

Àlgebra Lineal

 

 

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Última actualització o validació24.08.2014