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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

Professora Associada (retired), Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa

Member of the Centro de Análise Matemática, Geometria e Sistemas Dinâmicos

Academic degrees:

Agregação em Matemática, Universidade de Lisboa, 2002
Ph.D. (Mathematics), University of Warwick,1989, (supervisor: Prof.Miles Reid)
Licenciatura em Matemática,Universidade de Lisboa, 1977

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)