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Margarida Maria Nunes da Silva Rendeiro Marques Mendes Lopes is a researcher in Centro de Análise Matemática Geometria e Sistemas Dinâmicos(CAMGSD) and a retired university professor. Working in Mathematics, more specifically on Algebraic Geometry , she published more than 40 papers in scientific journals and 4 book chapters. She participates on several research projects and as Principal investigator in 3 projects. She has many international collaborators and has been invited as guest professor to several institutions like KIAS(South Korea) or Tata Institute(Mumbai). Most of the data presented in this CV refers only to recent activities, omitting the extensive list of previous activities.
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Identification

Personal identification

Full name
Margarida Maria Nunes da Silva Rendeiro Marques Mendes Lopes

Citation names

  • Mendes Lopes, Margarida

Author identifiers

Ciência ID
0E11-8780-65C6
ORCID iD
0000-0002-8921-291X

Addresses

  • Av. Rovisco Pais 1, 1049-001, Lisboa, Lisboa, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
French Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
Italian Proficiency (C2) Proficiency (C2) Intermediate (B1) Proficiency (C2) Intermediate (B1)
Education
Degree Classification
2002/03/01
Concluded
 Matemática (Título de Agregado)
Major in Matemática
Universidade de Lisboa Faculdade de Ciências, Portugal
1989
Concluded
 Matemática (Doctor of Philosophy)
University of Warwick, United Kingdom
1973 - 1978
Concluded
 Matemática (Licenciatura)
Universidade de Lisboa Faculdade de Ciências, Portugal
 18
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2003/07/28 - 2014/02/28 Associate Professor (University Teacher) Universidade de Lisboa Instituto Superior Técnico, Portugal
2002/11/27 - 2003/07 Associate Professor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Faculdade de Ciências, Portugal
1989/10/05 - 2002/11/27 Assistant Professor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Faculdade de Ciências, Portugal
1981 - 1989 Assistant (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Faculdade de Ciências, Portugal

Others

Category
Host institution 		Employer
2003/07 - Current Investigadora Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
Projects

Contract

Designation Funders
2019/01/01 - 2019/12/31 Centro de Análise Matemática, Geometria e Sistemas Dinâmicos
UID/MAT/04459/2019
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2016/06/01 - 2019/11/30 Geometria de variedades algébricas
PTDC/MAT-GEO/2823/2014
Researcher
Fundação para a Ciência e a Tecnologia
Concluded
2013/05/01 - 2016/04/30 Geometria e Física-Matemática
EXCL/MAT-GEO/0222/2012
Researcher
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2013/07 - 2015/07 Portuguese Algebraic Geometry Community
Provided by PTCRIS: 125240
125240
Principal investigator
Fundação para a Ciência e a Tecnologia
Concluded
2012/03/01 - 2015/06/30 Hamiltonian actions and Integrability in Geometry and Topology
PTDC/MAT/117762/2010
Universidade Católica Portuguesa, Portugal

Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2010/01 - 2013/07 Algebraic Geometry
99275
Provided by PTCRIS: 99275
Principal investigator
Fundação para a Ciência e a Tecnologia
Concluded
2002/09/01 - 2006/09/10 Classificação de superficies algebricas complexas
POCTI/MAT/44068/2002
Principal investigator
Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book chapter
  1. Rita Pardini; Mendes Lopes, Margarida. "On the degree of the canonical map of a surface of general type". In The Art of Doing Algebraic Geometry,, 305-325. Germany: Birkhauser, 2023.
    Published
  2. Lopes, M.M.; Pardini, R.. "Godeaux surfaces with an enriques involution and some stable degenerations". 451-473. 2016.
    10.1007/978-3-319-32994-9_12
  3. Rita Pardini; Mendes Lopes, Margarida. "The geography of irregular surfaces". In Current developments in algebraic geometry., 349-378. United States: Cambridge Unviversity Press, 2012.
    Published
  4. Mendes Lopes, Margarida; Rita Pardini. "A survey on the bicanonical map of surfaces with pg=0 and K2=2". In Algebraic geometry. A volume in memory of Paolo Francia, 277-287. Berlim, Germany: De Gruyter, 2002.
    Published
  5. Ciro Ciliberto; Mendes Lopes, Margarida. "On surfaces with pg=2,q=1 and non-birational bicanonical map". In Algebraic geometry. A volume in memory of Paolo Francia, 117-126. Berlim, Germany: De Gruyter, 2002.
    Published
Journal article
  1. Margarida Mendes Lopes; Rita Pardini; Sofia Tirabassi. "A footnote to a theorem of Kawamata". Mathematische Nachrichten (2023): https://doi.org/10.1002/mana.202200439.
    10.1002/mana.202200439
  2. Vicente Lorenzo; Margarida Mendes Lopes; Rita Pardini. "Numerical properties of exceptional divisors of birational morphisms of smooth surfaces". Rendiconti del Circolo Matematico di Palermo Series 2 (2023): https://doi.org/10.1007/s12215-022-00803-1.
    10.1007/s12215-022-00803-1
  3. Margarida Mendes Lopes; Rita Pardini; Sofia Tirabassi. "Effective characterization of quasi-abelian surfaces". Forum of Mathematics, Sigma (2023): https://doi.org/10.1017/fms.2023.2.
    10.1017/fms.2023.2
  4. Mendes Lopes, Margarida. "SEMISTABLE FIBRATIONS OVER AN ELLIPTIC CURVE WITH ONLY ONE SINGULAR FIBRE". Osaka Journal of mathematics (2020): https://doi.org/10.18910/73734.
    10.18910/73734
  5. Castro, Sofia B.S.D.; Mendes Lopes, Margarida. "A portrait of female mathematicians in Portugal.". Boletim da Sociedade Portuguesa de Matemática 76 (2018): 181-192.
    Published
  6. Andrea Causin; Margarida Mendes Lopes; Gian Pietro Pirola. "The Hodge number $$h^{1,1}$$ h 1 , 1 of irregular algebraic surfaces". Collect. Math. 67 1 (2016): 63-68. http://dx.doi.org/10.1007/s13348-014-0127-6.
    10.1007/s13348-014-0127-6
  7. Ciliberto, C.; Mendes Lopes, M.; Roulleau, X.. "On Schoen surfaces". Commentarii Mathematici Helvetici 90 1 (2015): 59-74. http://www.scopus.com/inward/record.url?eid=2-s2.0-84924365626&partnerID=MN8TOARS.
    10.4171/CMH/346
  8. Ciro Ciliberto; Margarida Mendes Lopes; Rita Pardini; Ciliberto, C.; Lopes, M.M.; Pardini, R.. "The classification of minimal irregular surfaces of general type with K^2=2p_g". Alg. Geom. 1 4 (2014): 479-488. http://dx.doi.org/10.14231/ag-2014-021.
    10.14231/ag-2014-021
  9. Lopes, M.M.; Pardini, R.; Pirola, G.P.; Margarida Mendes Lopes; Rita Pardini; Gian Pietro Pirola. "Brill-Noether loci for divisors on irregular varieties". Journal of the European Mathematical Society 16 10 (2014): 2033-2057. http://www.scopus.com/inward/record.url?eid=2-s2.0-84908439831&partnerID=MN8TOARS.
    10.4171/JEMS/482
  10. Ciliberto, C.; Lopes, M.M.; Pardini, R.. "Abelian varieties in Brill-Noether loci". Advances in Mathematics 257 (2014): 349-364. http://www.scopus.com/inward/record.url?eid=2-s2.0-84897789440&partnerID=MN8TOARS.
    10.1016/j.aim.2014.02.024
  11. Mendes Lopes, M.; Pardini, R.; Pirola, G.P.. "Continuous families of divisors, paracanonical systems and a new inequality for varieties of maximal albanese dimension". Geometry and Topology 17 2 (2013): 1205-1223. http://www.scopus.com/inward/record.url?eid=2-s2.0-84878466681&partnerID=MN8TOARS.
    10.2140/gt.2013.17.1205
  12. Mendes Lopes, M.; Pardini, R.; Pirola, G.P.. "A characterization of the symmetric square of a curve". International Mathematics Research Notices 2012 3 (2012): 493-500. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856898654&partnerID=MN8TOARS.
    10.1093/imrn/rnr025
  13. Mendes Lopes, M.; Pardini, R.. "A uniform bound on the canonical degree of Albanese defective curves on surfaces". Bulletin of the London Mathematical Society 44 6 (2012): 1182-1188. http://www.scopus.com/inward/record.url?eid=2-s2.0-84869470686&partnerID=MN8TOARS.
    10.1112/blms/bds043
  14. Mendes Lopes, M.; Pardini, R.; Pirola, G.P.. "On surfaces of general type with q = 5". Annali della Scuola Normale - Classe di Scienze 11 4 (2012): 999-1007. http://www.scopus.com/inward/record.url?eid=2-s2.0-84886299816&partnerID=MN8TOARS.
  15. Mendes Lopes, M.; Pardini, R.. "Severi type inequalities for irregular surfaces with ample canonical class". Commentarii Mathematici Helvetici 86 2 (2011): 401-414. http://www.scopus.com/inward/record.url?eid=2-s2.0-79952476200&partnerID=MN8TOARS.
    10.4171/CMH/228
  16. Mendes Lopes, M.; Pardini, R.; Pirola, G.P.. "On the canonical map of surfaces with q = 6". Science China Mathematics 54 8 (2011): 1725-1739. http://www.scopus.com/inward/record.url?eid=2-s2.0-80051694258&partnerID=MN8TOARS.
    10.1007/s11425-011-4200-2
  17. Mendes Lopes, M.; Pardini, R.. "On surfaces with pg = 2q - 3". Advances in Geometry 10 3 (2010): 549-555. http://www.scopus.com/inward/record.url?eid=2-s2.0-77954645993&partnerID=MN8TOARS.
    10.1515/ADVGEOM.2010.021
  18. Mendes Lopes, M.; Pardini, R.; Reid, M.. "Campedelli surfaces with fundamental group of order 8". Geometriae Dedicata 139 1 (2009): 49-55. http://www.scopus.com/inward/record.url?eid=2-s2.0-61449125819&partnerID=MN8TOARS.
    10.1007/s10711-008-9317-2
  19. Calabri, A.; Mendes Lopes, M.; Pardini, R.. "Involutions on numerical Campedelli surfaces". Tohoku Mathematical Journal 60 1 (2008): 1-22. http://www.scopus.com/inward/record.url?eid=2-s2.0-43049090900&partnerID=MN8TOARS.
    10.2748/tmj/1206734404
  20. Konno, K.; Mendes Lopes, M.. "The base components of the dualizing sheaf of a curve on a surface". Archiv der Mathematik 90 5 (2008): 395-400. http://www.scopus.com/inward/record.url?eid=2-s2.0-44749084242&partnerID=MN8TOARS.
    10.1007/s00013-007-2555-y
  21. Mendes Lopes, M.; Pardini, R.. "Numerical Campedelli surfaces with fundamental group of order 9". Journal of the European Mathematical Society 10 2 (2008): 457-476. http://www.scopus.com/inward/record.url?eid=2-s2.0-43649091676&partnerID=MN8TOARS.
  22. Margarida Mendes Lopes; Rita Pardini; Mendes Lopes, M.; Pardini, R.. "The degree of the bicanonical map of a surface with $p_g=0$". Proc. Amer. Math. Soc. 135 05 (2007): 1279-1283. http://dx.doi.org/10.1090/s0002-9939-06-08633-3.
    10.1090/s0002-9939-06-08633-3
  23. Ciliberto, C.; Mendes Lopes, M.; Pardini, R.. "Surfaces with K2 < 3¿ and finite fundamental group". Mathematical Research Letters 14 5-6 (2007): 1069-1086. http://www.scopus.com/inward/record.url?eid=2-s2.0-38849149009&partnerID=MN8TOARS.
  24. Mendes Lopes, M.; Pardini, R.. "On the algebraic fundamental group of surfaces with K2 = 3¿". Journal of Differential Geometry 77 2 (2007): 189-199. http://www.scopus.com/inward/record.url?eid=2-s2.0-35548951717&partnerID=MN8TOARS.
    10.4310/jdg/1191860393
  25. Calabri, A.; Ciliberto, C.; Mendes Lopes, M.. "Numerical godeaux surfaces with an involution". Transactions of the American Mathematical Society 359 4 (2007): 1605-1632. http://www.scopus.com/inward/record.url?eid=2-s2.0-35548947242&partnerID=MN8TOARS.
    10.1090/S0002-9947-06-04110-9
  26. Mendes Lopes, M.; Pardini, R.. "A new family of surfaces with pg = 0 and K2 = 3". Annales Scientifiques de l'Ecole Normale Superieure 37 4 (2004): 507-531. http://www.scopus.com/inward/record.url?eid=2-s2.0-6944219860&partnerID=MN8TOARS.
    10.1016/j.ansens.2004.04.001
  27. Mendes Lopes, M.; Pardini, R.. "Surfaces of general type with pg = 0, K2 = 6 and non birational bicanonical map". Mathematische Annalen 329 3 (2004): 535-552. http://www.scopus.com/inward/record.url?eid=2-s2.0-4644248401&partnerID=MN8TOARS.
    10.1007/s00208-004-0524-3
  28. Calabri, A.; Ciliberto, C.; Mendes Lopes, M.. "Even sets of four nodes on rational surfaces". Mathematical Research Letters 11 5-6 (2004): 799-808. http://www.scopus.com/inward/record.url?eid=2-s2.0-12344321484&partnerID=MN8TOARS.
  29. Mendes Lopes, M.; Pardini, R.. "The bicanonical map of surfaces with pg = 0 and K2 = 7, II". Bulletin of the London Mathematical Society 35 3 (2003): 337-343. http://www.scopus.com/inward/record.url?eid=2-s2.0-0038793768&partnerID=MN8TOARS.
    10.1112/S0024609302001819
  30. Ciliberto, C.; Mendes Lopes, M.. "On surfaces with pg = q = 2 and non-birational bicanonical maps". Advances in Geometry 2 3 (2002): 281-300. http://www.scopus.com/inward/record.url?eid=2-s2.0-32344434427&partnerID=MN8TOARS.
    10.1515/advg.2002.014
  31. Dolgachev, I.; Mendes Lopes, M.; Pardini, R.. "Rational surfaces with many nodes". Compositio Mathematica 132 3 (2002): 349-363. http://www.scopus.com/inward/record.url?eid=2-s2.0-0141457325&partnerID=MN8TOARS.
    10.1023/A:1016540925011
  32. Mendes Lopes, M.; Pardini, R.. "Enriques surfaces with eight nodes". Mathematische Zeitschrift 241 4 (2002): 673-683. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036882720&partnerID=MN8TOARS.
    10.1007/s00209-002-0432-8
  33. Mendes Lopes, Margarida. "THE BICANONICAL MAP OF SURFACES WITH pg = 0 AND K2 [ges ] 7". Bulletin of the London Mathematical Society (2001): http://dx.doi.org/10.1017/s0024609301008037.
    10.1017/s0024609301008037
  34. Mendes Lopes, M.; Pardini, R.. "A connected component of the moduli space of surfaces with pg=0". Topology 40 5 (2001): 977-991. http://www.scopus.com/inward/record.url?eid=2-s2.0-0013333543&partnerID=MN8TOARS.
    10.1016/S0040-9383(00)00004-5
  35. Mendes Lopes, M.; Pardini, R.. "Triple canonical surfaces of minimal degree". International Journal of Mathematics 11 4 (2000): 553-578. http://www.scopus.com/inward/record.url?eid=2-s2.0-0034196504&partnerID=MN8TOARS.
  36. Ciliberto, C.; Mendes Lopes, M.. "On regular surfaces of general type with pg = 3 and non-birational bicanonical map". Kyoto Journal of Mathematics 40 1 (2000): 79-117. http://www.scopus.com/inward/record.url?eid=2-s2.0-0034381884&partnerID=MN8TOARS.
    10.1215/kjm/1250517761
  37. Konno, K.; Mendes Lopes, M.. "On a question of Miles Reid". Manuscripta Mathematica 100 1 (1999): 81-86. http://www.scopus.com/inward/record.url?eid=2-s2.0-0348225204&partnerID=MN8TOARS.
  38. Catanese, F.; Ciliberto, G.; Mendes Lopes, M.. "On the classification of irregular surfaces of general type with nonbirational bicanonical map". Transactions of the American Mathematical Society 350 1 (1998): 275-308. http://www.scopus.com/inward/record.url?eid=2-s2.0-21944452392&partnerID=MN8TOARS.
  39. Mendes Lopes, M.; Pardini, R.. "Irregular canonical double surfaces". Nagoya Mathematical Journal 152 (1998): 203-230. http://www.scopus.com/inward/record.url?eid=2-s2.0-0001070089&partnerID=MN8TOARS.
  40. Ciliberto, C.; Mendes Lopes, M.. "On Surfaces of General Type with K2 = 2¿ - 2 and Nontrivial Torsion". Geometriae Dedicata 66 3 (1997): 313-329. http://www.scopus.com/inward/record.url?eid=2-s2.0-0042233079&partnerID=MN8TOARS.
    10.1023/A:1004921730216
  41. Ciliberto, C.; Francia, P.; Mendes Lopes, M.. "Remarks on the bicanonical map for surfaces of general type". Mathematische Zeitschrift 224 1 (1997): 137-166. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031538820&partnerID=MN8TOARS.
  42. Mendes Lopes, M.. "The degree of the generators of the canonical ring of surfaces of general type with pg = 0". Archiv der Mathematik 69 5 (1997): 435-440. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031551770&partnerID=MN8TOARS.
    10.1007/s000130050142
  43. Mendes Lopes, M.. "Adjoint Systems on Surfaces". Bollettino della Unione Matematica Italiana A 10 1 (1996): 169-179. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000717162&partnerID=MN8TOARS.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2019/08/28 Surfaces and fibrations Workshop" Algebraic surfaces and related topics"
Kochi University of Technology (Kochi, Japan)
2016/07/15 Searching for surfaces Workshop "Mathematics under construction"
University of Potsdam (Potsdam, Germany)
2015/12/10 On fibrations of surfaces Seminar
IIT Bombay (Mumbai, India)
2015/11/21 On the algebraic fundamental group of surfaces of general type, I School and Workshop "Algebraic surfaces and related topics",
ICTS Bangalore (Bangalore, India)
2015/11/20 On the algebraic fundamental group of surfaces of general type, I School and Workshop "Algebraic surfaces and related topics"
ICTS Bangalore (Bangalore, India)
2015/03/30 Constraints on the invariants of irregular surfaces BMC/BAMC Colloquium
University of Cambridge (Cambridge, United Kingdom)
2015 Algebraic surfaces of general type (advanced short course at Tata Institute, Mumbai)
(Mumbai, India)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2020 - 2023/02/16 The Dirac-Higgs complex on the stack of Higgs Bundles
Co-supervisor of Robert Stephen Hanson
Mathematics (PhD)
Universidade de Lisboa Instituto Superior Técnico, Portugal
2018 - 2021/07/16 Group actions on surfaces of general type and moduli spaces
Supervisor of Vicente Lorenzo Garcia
 Mathematics (PhD)
Universidade de Lisboa Instituto Superior Técnico, Portugal
2016 - 2019 Surfaces of general type with non-birational canonical map
Supervisor of Nguyen Bin
 Mathematics (PhD)
Universidade de Lisboa Instituto Superior Técnico, Portugal
2011/10/01 - 2012/08/31 Postdoctoral supervision
Supervisor of Xavier Roulleau
 Mathematics (Other)
Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
2006/07/01 - 2012/06/30 Postdoctoral supervision
Supervisor of Stavros Papadakis
 Mathematics (Other)
Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
2005 - 2009 Algumas Propriedades de Superfícies Algébricas Complexas
Supervisor of Maria Marti Sanchez
 Mathematics (PhD)
Universidade de Lisboa Faculdade de Ciências, Portugal
2004 - 2008 Alguns Aspectos da Classificação Fina de Superfícies de Tipo Geral
Supervisor of Carlos Manuel Gonçalves Rito
Mathematics (PhD)
Universidade de Trás-os-Montes e Alto Douro, Portugal
2002/04/01 - 2002/07/31 Postdoctoral supervision
Supervisor of Giuseppe Borrelli
 Mathematics (Other)
Universidade de Lisboa, Faculdade de Ciências, Centro de Matemática e Aplicações Fundamentais, Portugal
1997/03/01 - 1997/05/31 Postdoctoral supervision
Supervisor of Paola Supino
 Mathematics (Other)
Universidade de Lisboa, Faculdade de Ciências, Centro de Álgebra, Portugal

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2023/07/24 - 2023/07/26 3rd Meeting of Women in Mathematics (2023/07/24 - 2023/07/26)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Centro de Matemática, Portugal
2022/09/07 - 2022/09/09 2nd meeting of Women in Mathematics (2022/09/07 - 2022/09/09)
Congress (Member of the Scientific Committee)
 Universidade do Minho Centro de Matemática, Portugal
2022/01/07 - 2022/06/10 Conference: Classical Elegance: the Geometry of Algebraic varieties, held in the Palazzone de Cortona, Tuscany, Italia (2022/06/07 - 2022/06/10)
Congress (Member of the Scientific Committee)
 Scuola Normale Superiore, Italy

Università degli Studi di Pisa, Italy

Università degli Studi di Roma Tor Vergata, Italy

Università degli Studi di Pavia, Italy

Association member

Society Organization name Role
2013 - Current European Women in Mathematics Member
2006 - Current European Mathematical Society Member
1993 - Current Sociedade Portuguesa de Matemática Member