Margarida Mendes Lopes


                                    

                                           Full name: Margarida Maria Nunes da Silva Rendeiro Marques Mendes Lopes


 

Adress:    Departamento de Matemática

                    Instituto Superior Técnico                                     Phone :  (+351) 218417126 (office)

               Av. Rovisco Pais                                                                      (+351) 218417 211(general)   

               1049-001 Lisboa                                                     Fax:     (+351) 218417598

  PORTUGAL                                                            e-mail: mmlopes@math.ist.utl.pt





Academic  degrees:





 Research:


 Interests: Algebraic Geometry - Complex algebraic surfaces


I was a member of the Warwick node of the European project Eager



Papers:

Published or accepted for publication:


Journals:


1. M.Mendes Lopes, Adjoint systems on surfaces, Boll. Unione Mat. Ital., (7) 10-A (1996), 169-179. (pdf)


2. C.Ciliberto, P.Francia, M.Mendes Lopes, Remarks on the bicanonical map for surfaces of general type,  Math. Zeit., 224 (1997), 137-166.


3. C.Ciliberto, M.Mendes Lopes,  Surfaces of general type with K^2=2\chi -2 and torsion, Geometria Dedicata, 66 (1997), 313-329.


4. M.Mendes Lopes, The degree of the generators of the canonical ring of surfaces of general type with p_g=q=0, Arch. Math., 69 (1997), 435-440.


5.F.Catanese, C.Ciliberto, M.Mendes Lopes , On the classification of irregular surfaces of general type with non birational bicanonical map, Transactions of the AMS, 350, No.1, (January 1998), 275-308.


6. M. Mendes Lopes, R.Pardini,  Irregular canonical double surfaces,  Nagoya Math.J., vol. 152, (Dec.1998), 203-230.


7.K.Konno, M.Mendes Lopes , On a question of Miles Reid,  Manuscripta Mathematica, 100, 1 (1999), 81-86.


8.M.Mendes Lopes, R.Pardini, Triple canonical surfaces of minimal degree, Int.  J.  of Mathematics, vol. 11, n. o 4 (2000), 553-578.


9.C.Ciliberto, M.Mendes Lopes, On regular surfaces of general type with p_g=3 and non-birational bicanonical map,  Journal of Mathematics Kyoto University, 40-1 (2000), 79-117.


10. M. Mendes Lopes, R. Pardini ,  A connected component of the moduli space of surfaces  with p_g=0,  Topology 40 (5), (2001),  977--991. 


11 .M. Mendes Lopes, R. Pardini , The bicanonical map of surfaces with p_g=0 and

K^2\ge 7,   Bulletin of the London Mathematical Society, 33 (2001), 265--274.


12. I.Dolgachev, M. Mendes Lopes, R. Pardini, Rational surfaces  with many

nodes,  Compositio Mathematica, 132, 2002, 349-363. 


13. C.Ciliberto, M. Mendes Lopes, On surfaces with p_g=q=2 and non-birational

bicanonical map,  Advances in Geometry, Vol. 2, Issue 3 / 2002, 281-300.


14. M. Mendes Lopes,  R. Pardini ,  Enriques surfaces with eight nodes,   Math. Z.,  241 (2002), 673-683.


 15. M. Mendes Lopes, R. Pardini , The bicanonical map of surfaces with p_g=0 and

K^2\ge 7,  II,   Bulletin of the London Mathematical Society, 35 (2003), 331--343.


16.  M. Mendes Lopes,  A note on a theorem of Xiao Gang,   Collect. Math. 55,1 (2004), 33-36.


17.  M. Mendes Lopes,  R. Pardini A new family of surfaces with p_g=0 and K^2=3,    Annales Scientifiques  de L'Ecole Normale Supérieure, vol. 37, Issue 4, July-August 2004, 507-531 .


18.  M. Mendes Lopes,  R. Pardini  Surfaces of general type with p_g=0, K^2=6  and non birational bicanonical map ,  Math. Annalen, vol. 329, Number 3 (July 2004), 535-552 .


19.   A. Calabri, C. Ciliberto, M. Mendes Lopes  Even sets of four nodes on rational surfaces,   Math. Res. Letters,   11  (2004),  no. 5-6, 799--808.


20.    A. Calabri, C. Ciliberto, M. Mendes Lopes   Numerical Godeaux surfaces with an involution,  Trans. Amer. Math. Soc. 359  (2007), 1605-1632. 


21.  M. Mendes Lopes,  R. Pardini   The degree of the bicanonical map of a surface with p_g=0,  Proc. Amer. Math. Soc. 135 (2007),

1279-1282.


22. M. Mendes Lopes, R. Pardini  On the algebraic fundamental group of surfaces with K²\leq 3\chi,  

Journal of Differential Geometry, vol. 77, no. 2, (2007), 189-199,  math.AG/0512483


23. C. Ciliberto, M. Mendes Lopes, R. Pardini  Surfaces with K^2<3\chi and finite fundamental group, Math. Res. Lett., 14(6):1081-1098, 2007., arXiv:0706.1784 , 


24.  A. Calabri, M. Mendes Lopes, R. Pardini  Involutions on numerical Campedelli surfaces, Tohoku Math. J. 60 (2008), 1-22, math.AG/0511391  ,


25  K.Konno, M.Mendes Lopes   The base components of the dualizing sheaf of a curve on a surface,   Archiv der Mathematik, 90 (2008), 395-400.


26.  M. Mendes Lopes, R.Pardini   Numerical Campedelli surfaces with fundamental group of order  9,   Journal of the European Mathematical Society (JEMS), 10 (2008), 457-476.


27. M.Mendes Lopes, R.Pardini, M. Reid, Campedelli surfaces with fundamental group of order 8,   Geometria Dedicata,   139 (2009), 49--55. 


28. M.Mendes Lopes, R.Pardini, On surfaces with pg=2q-3,  Advances in Geometry, 10 no.3 (2010), 549--555.


29. M.Mendes Lopes, R.Pardini, Severi type inequalities,  Comm. Math. Helv., 86 Issue 2 (2011), 401--414.


30. M. Mendes Lopes, R.Pardini, G.P. Pirola, On the canonical map of

surfaces with q >_ 6,  dedicado a F. Catanese,  Sci. China Ser.  A,  54  no. 8 (2011),  1725

--1739.



31. M. Mendes Lopes, R.Pardini, G.P. Pirola, A characterization of the

symmetric square of a curve, International Mathematical Research Notices, (2012) Vol. 2012, 493-500, doi: 10.1093/imrn/rnr025.


32. M. Mendes Lopes, R.Pardini, G.P. Pirola, On surfaces of general type with q=5, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 11, No. 4, 999-1007 (2012).

33. M.Mendes Lopes, R.Pardini, A uniform bound on the canonical degree of Albanese defective curves on surfaces,  Bulletin of the London Mathematical Society,  44, No. 6, 1182-1188 (2012)



34. M. Mendes Lopes, R.Pardini, G.P. Pirola, Brill-Noether loci for divisors on irregular varieties, Journal of the European Mathematical Society (JEMS), 16, No. 10, 2033-2057 (2014)


35. M. Mendes Lopes, R.Pardini, G.P. Pirola,  Continuous families of divisors, paracanonical systems and a new inequality for varieties of maximal Albanese dimension. , Geom. Topol. 17, No. 2, 1205-1223 (2013).


36. C. Ciliberto,  M. Mendes Lopes, R.Pardini,  Abelian varieties in Brill-Noether loci. 

Adv. Math. 257, 349-364 (2014).


37. C. Ciliberto,  M. Mendes Lopes,, X. Roulleau,  On Schoen surfaces. Comment. Math. Helv. 90, No. 1, 59-74 (2015).


38. C. Ciliberto,  M. Mendes Lopes, R.Pardini, 

The classification of minimal irregular surfaces of general type with k^2=2p_g, Algebraic Geometry 1 (4), 2014, 479-488.




Proceedings:

  39. C. Ciliberto, M. Mendes Lopes, On surfaces with p_g=2, q=1 and non-birational bicanonical map,

Algebraic Geometry, a Volume in Memory of Paolo Francia, Beltrametti and alt. (eds.), De Gruyter, 2002, 117--126.




40. M. Mendes Lopes, R. Pardini , A survey on the  bicanonical map of surfaces with p_g=0 and K^2\ge 2,  Algebraic Geometry, a Volume in Memory of Paolo Francia, Beltrametti and alt. (eds.), De Gruyter, 2002, 277-287.


41. M.Mendes Lopes, R.Pardini The order of finite algebraic fundamental groups of surfaces with K^2\leq 3\chi-2,   ''Algebraic geometry and Topology" Suurikaiseki kenkyusho Koukyuuroku, No. 1490 (2006), pp. 69--75, math.AG/0605733


38. M. Mendes Lopes, R. Pardini The geography of irregular surfaces, Currents Developments in Algebraic Geometry, MSRI Publications, Vol. 59, 2011.  







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Ph.D. students:



Carlos Rito (Thesis   "On surfaces of general type with p_g=q=1 having an involution" defended  25th January 2008)


Maria Marti  Sanchez (Thesis  "Classes of surfaces with special features" defended 4th December 2009)



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  Organization of meetings and courses  ( 2004-2010)


2011


IST Courses on Algebraic Geometry: VI  (5-8 September 2011)


Scientific committee of  the First Latin American School on Algebraic

Geometry and Applications


Escola de Verão da Sociedade Portuguesa de Matemática (EVSPM2011) (scientific committee)


2010:


VBAC (14-18 June 2010)


IST Courses on Algebraic Geometry: V  (1-4 February 2010)



2009: 


IST Courses on Algebraic Geometry: IV  (7-10 September 2009)


Tarde SPM-CIM em Geometria Algébrica (7 March 2009)


 2007: 


Tarde CIM em Topologia Algébrica (24 de Novembro de 2007)


Scientific comittee of  the IV Iberoamerican Conference on Complex Geometry(photo)


2006:


IST Courses on Algebraic Geometry:


                                 III-   Introduction to classical Cremona transformations (May 2006)



 2005:


Algebraic Geometry and Topological String Theory (thematic period)


 2004:

Workshop on Algebraic Geometry and Physics


IST Courses on Algebraic Geometry:


                                 I -  Techniques of Algebraic Geometry (May 2004)



                                II - Degeneration techniques in Algebraic Geometry  (September 2004)







Teaching 

2011-2012: 

Introdução à Geometria

Geometria Algébrica


2010-2011:

Projecto em Matemática 

Seminário de Matemática

Álgebra Linear


2009-2010

Sabatical leave


2008-2009:

Introdução à Geometria

Álgebra Linear(práticas)





2007-2008:

Geometria Algébrica

Introdução à Geometria

Seminário de Matemática

Seminário de Investigação e Relatório

Álgebra Linear(práticas)



2006-2007: 


Álgebra Linear

 Seminário de Matemática

Seminário de Investigação e Relatório



2005-2006: 


Álgebra Linear

Geometria Algébrica


2004-2005: 

Álgebra Linear

Geometria Algébrica


2003-2004: 


Geometria Algébrica

Álgebra Linear


2002-2003:    Sabbatical leave


2001-2002:   

Introdução à Geometria Algébrica (4th year course)

Curvas algébricas complexas  ( 'Mestrado' course )

Tópicos de Geometria Algébrica (reading course )


2000-2001:

Introdução à Geometria Algébrica (4th year course)

Geometria I (1st year course)










C.V.  (Portuguese- 14 April 2008)


Seminários, cursos e comunicações




 Some texts:


Opinião sobre o documento Princípios reguladores de Concursos, Contratações e Avaliações de Desempenho  (October 2009)


Comentário a um documento do MCES sobre o financiamento da investigação em Portugal (April 2004).


Uma proposta de programa de Álgebra Linear para os cursos de Engenharia do IST (November 2006)


Um texto de divulgação  (December 2000)


Photos:

  

Kyoto: A, B, C 

Ouro Preto: A

Seoul 2012: A , B