Number Theory Research Group - Pilar Bayer
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Staff Presentation Departament University

 

Teresa Crespo Vicente

Departament d'Àlgebra i Geometria
Facultat de Matemàtiques
Universitat de Barcelona
Gran Via de les Corts Catalanes, 585
08007 Barcelona. SPAIN
Fax: (34) 93 402 1601
Telèfon: 934021622
teresa.crespo@ub.edu

Academic Positions 

  1. Catedràtica d'Àlgebra, Universitat de Barcelona: 2009-

  2. Professora Titular d'Àlgebra, Universitat de Barcelona: 1990-2009.

  3. Professora Titular d'Escola Universitària, Universitat Politècnica de Catalunya: 1983-1990.


Publications  

Articles in international journals

  1. Crespo, T.; Salguero, M.: Computation of Hopf Galois structures on low degree separable extensions and classi cation of those . for degrees p^2 and 2p. Pub. Mat., to appear (2019) .

  2. Crespo, T.; Salguero, M.: Hopf Galois structures on separable field extensions of odd prime power degree . J. Algebra 519 (2019) 424-439.

  3. Adamus, E.; Crespo, T.; Hajto, Z.: Jacobian Conjecture via Differential Galois Theory. SIGMA 15 (2019) 34-7.

  4. Adamus, E.; Bogdan, P.; Crespo, T.: Hajto, Z.: Pascal finite polynomial automorphisms. J. Algebra Appl., to appear (2018) .

  5. Crespo, T.; Rio, A.; Vela, M.: Hopf Galois structures on symmetric and alternating extensions. New York J. Math. 24 (2018) 451-457.

  6. Adamus, E.; Bogdan, P.; Crespo, T.: Hajto, Z.: An effective study of polynomial maps. J. Algebra Appl. 16 (2017) 1750141-13.

  7. Crespo, T.; Rio, A.; Vela, M.: On the Galois correspondence theorem in separable Hopf Galois theory,. Publ. Mat. 60 (2016) 221-234.

  8. Crespo, T.; Rio, A.; Vela, M.: The Hopf Galois property in subfield lattices.. Comm. Algebra 44 (2016) 336-353.

  9. Crespo, T.; Rio, A.; Vela, M.: The Hopf Galois property in subfield lattices; Corrigendum.. Comm. Algebra 44 (2016) 3191-3191.

  10. Crespo, T.; Rio, A.; Vela, M.: Induced Hopf Galois structures.. J. Algebra 457 (2016) 312-322.

  11. Crespo, T.; Hajto, Z.; van der Put, M.: Real and p-adic Picard-Vessiot fields. Math. Ann. 365 (2016) 93-103.

  12. Adamus, E.; Crespo, T.; Hajto, Z.: Galois correspondence theorem for Picard-Vessiot extensions. Arnold Mathematical Journal 2 (2016) 21-27.

  13. Crespo, T.; Rio, A.; Vela, M.: Non-isomorphic Hopf Galois structures with isomorphic underlying Hopf algebras.. J. Algebra 422 (2015) 270-276.

  14. Crespo, T.; Hajto, Z.: Real Liouville extensions, 43.. Comm. Algebra 43 (2015) 2089-2093.

  15. Crespo, T.; Rio, A.; Vela, M.: From Galois to Hopf Galois: theory and practice.. Contemp. Math. 649 (2015) 29-46.

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

  17. Crespo, T.; Hajto, Z.; Sowa, E.: Picard-Vessiot theory for real fields. Israel Journal of Mathematics 198 (2013) 75-90.

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

  19. Crespo, T.; Hajto, Z.: Picard-Vessiot theory and the Jacobian problem. Israel J. Math. 186 (2011) 401-406.

  20. 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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  40. Crespo, T.: Embedding problems with ramification conditions. Arch. Math. 53 (1989) 270-276.

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



Articles in national journals

  1. Crespo, T.: Serge Lang, 1927-2005. Matematicalia 1 (2005) .

  2. Bayer, P.; Crespo, T.: Arithmetical problems in number fields, abelian varieties and modular forms. Contributions to Science 1 (1999) 125-145.




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), 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), 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), 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), 12. p. 65-78. Barcelona (2005). ISBN: 84-934244-0-4

  5. Crespo, T.: 2S4*Q8-extensions. Arithmetic and Geometry with Applications: papers from S.S. Abhyankar's 70th birthday Conference. Springer, C. Christensen et al. (eds.). 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, 10. Oxford University Press, . p. 255-260. Oxford (1993). ISBN: 0-19-853668-2

  7. Crespo, T.: Constants modulars de X1(N). Corbes Modulars: Taules. Notes del Seminari de Teoria de Nombres (UB-UAB-UPC), 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), 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. , 10. p. 17-26. Barcelona (1981). ISBN:



Books

  1. Crespo, T.; Hajto, Z. (eds.): Algebraic Methods in Dynamical Systems. Banach Center Publications, Polish Academy of Sciences, Institute of Mathematics, 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. , 2011. ISBN: 978-0821853184

  3. Crespo, T.; Hajto, Z.: Introduction to Differential Galois Theory. Wydawnictwo PK, . Cracow,, 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), 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, 58. Warsaw (Poland), 2001. ISBN: 0137-6934

  6. Bayer, P.; Crespo, T. (eds.): Proceedings 19th Journées Arithmétiques. Collect. Math., 48. Barcelona, 1997. ISBN: 0010-0757


Lectures 

  1. Hopf Galois structures on separable field extensions of degree p^n, with p an odd prime. Seminar of the Department of Mathematics. University of Exeter, 2018.

  2. Estructures Hopf Galois d’extensions separables de grau p^2 o 2p, amb p primer senar. Seminari de Teoria de Nombres de Barcelona. Barcelona, 2018.

  3. Picard-Vessiot theory over real and p-adic fields. Automorphism Groups, Differential Galois Theory and Model Theory. Barcelona, 2017.

  4. Construcción de estructuras Hopf Galois. Séptimas Jornadas de Teoria de Números. Lleida, 2017.

  5. Hopf Galois separable extensions. Hopf Galois separable extensions , Intercity Number Theory Seminar, University of Groningen.. Groningen, Netherlands, 2016.

  6. An intrinsic characterization of Picard-Vessiot extensions. Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian Univer. Cracow, Poland, 2015.

  7. Kovacic's theory of strongly normal extensions (1 and 2). Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian Univer. Cracow,, 2015.

  8. Galois coverings. Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian Univer. Cracow, Poland, 2015.

  9. p-adic differential equations. Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian Univer. Cracow, Poland, 2015.

  10. Induced Hopf Galois structures. Hopf-Galois Theory and Galois Module Structure Workshop, University of Exeter. Exeter, England, 2015.

  11. Hopf algebraic approach to Picard-Vessiot theory. Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian Univer. Cracow, Poland, 2014.

  12. Real and p-adic Picard-Vessiot fields. AMS Spring Central Sectional Meeting, Texas Tech University, Special Session on Differential Algebra. Lubbock, Texas, 2014.

  13. Classification of split semisimple Lie algebras (1). Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian Univer. Cracow, Poland, 2013.

  14. Classification of split semisimple Lie algebras (2). Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian Univer. Cracow, Poland, 2013.

  15. Classification of real semisimple Lie algebras. Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian Univer. ,Cracow, Poland, 2013.

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

  17. Teoría de Galois diferencial . Conmemoración del segundo centenario del nacimiento de Galois. Bilbao, 2012.

  18. The origins of differential Galois theory. 2012 Łojasiewicz lecture, preparatory workshop. Jagiellonian, 2012.

  19. Galois cohomology and forms. Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian Univer. Cracow, Poland, 2012.

  20. The work of Ellis Kolchin and beyond. 2012 Łojasiewicz lecture, preparatory workshop. Jagiellonian, 2012.

  21. Galois cohomology and forms (2). Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian Univer. Cracow, Poland, 2012.

  22. Forms of Picard-Vessiot extensions. Differential Galois Theory Seminar, Faculty of Mathematics and Computer Science, Jagiellonian Univer. Cracow, Poland, 2012.

  23. Picard-Vessiot extensions for ordinary differential fields with algebraically closed fields of c. The Ubiquity of Wronskians, IMPANGA Seminar. Warsaw, 2011.

  24. Galois correspondence in differential Galois theory. The Ubiquity of Wronskians, IMPANGA Seminar. Warsaw, 2011.

  25. Teoría de Galois de extensiones no normales, Conferencia plenaria. Cuartas Jornadas de Teoría de Números. Bilbao, 2011.

  26. On the Galois embedding problem associated to the nontrivial triple cover of the alternating group A. 27th Journées arithmétiques. Vilnius,, 2011.

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

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

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

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

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

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

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

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

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

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

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

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

  39. 2S4*Q8-extensions in characteristic 3. Explicit methods in Galois theory and Arithmetic. Leiden (The Netherlands), 2002.

  40. 2S4*Q8-extensions. Théorie de Galois et Géometrie. Luminy (France), 2001.

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

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

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

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

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

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

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

  48. Construcción efectiva de soluciones a problemas de inmersión de la Teoría de Galois. Jornadas Hispano-Lusas. Valladolid, 1988.


Ph. D. students 

Florian HeiderichGalois Theory of Module Fields, 2010.
Montserrat VelaÁlgebras Z/nZ-graduadas y problema de inmersión galoisiana, 1998.

Other academic activities 

Congress organization

  1. Organization with Juan J. Morales-Ruiz of the Conference 'Algebraic Methods in Dynamical Systems', Madrid 2018
  2. Organization with A. Martin-Pizarro, D. Palacin and A. Pillay of the Conference 'Automorphism Groups, Differential Galois Theory and Model Theory', Barcelona 2017
  3. Organization of the GTEM Final Conference at the Faculty of Mathematics of the University of Barcelona, September 2010.
  4. Organization with Zbigniew Hajto of the ESF Conference 'Algebraic Methods in Dynamical Systems' at the Mathematical Research and Conference Center, Bedlewo (Poland), May 2010.
  5. 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.
  6. Organization with Zbigniew Hajto of the 'Differential Galois Theory' workshop at the Mathematical Conference Center. Bedlewo (Poland), 2001.
  7. Member of the Organizing Committee of the 3rd European Congress in Mathematics, Barcelona, 2000.

European networks

  1. Scientific official of the Barcelona node of the European Network Galois Theory and Explicit Methods in Arithmetic, HPRN-CT-2000-00114, 2000-2004.
  2. Scientific official of the Barcelona node of the European Network Galois Theory and Explicit Methods, MRTN-CT-2006-035495, 2006-2010.

Staff Presentation Departament University
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Última actualització o validació: 30.06.2010