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Identification

Personal identification

Full name
Helena Isabel Ferreira Soares

Citation names

  • Soares, Helena

Author identifiers

Ciência ID
A81A-50CA-35E3
ORCID iD
0000-0002-6472-0061

Knowledge fields

  • Exact Sciences - Mathematics - Pure Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Spanish; Castilian Proficiency (C2) Advanced (C1) Proficiency (C2) Proficiency (C2) Advanced (C1)
English Proficiency (C2) Proficiency (C2) Intermediate (B1) Proficiency (C2) Advanced (C1)
Catalan Intermediate (B1) Intermediate (B1) Beginner (A1) Intermediate (B1)
French Beginner (A1) Intermediate (B1) Beginner (A1) Beginner (A1)
Education
Degree Classification
2008
Concluded
 Doctorat en Matemàtiques (Doutoramento)
Universitat de Barcelona Departament d'Àlgebra i Geometria, Spain
"Steiner Vector Bundles on Algebraic Varieties" (THESIS/DISSERTATION)
 Excelente Cum Laude
2003
Concluded
 Matemática Aplicada (Mestrado)
Universidade de Lisboa Instituto Superior Técnico, Portugal
"Cohomologia Racional do Espaço dos Ciclos Algébricos de Grau 2" (THESIS/DISSERTATION)
 Aprovado
1999
Concluded
 Matemática (Licenciatura)
Universidade de Lisboa Faculdade de Ciências, Portugal
"n/a" (THESIS/DISSERTATION)
 15
Affiliation

Science

Category
Host institution 		Employer
2015/04/01 - 2015/05/31 Visiting Researcher (Research) Institut de Mathématiques de Bourgogne, France
2015/02/01 - 2015/03/31 Visiting Researcher (Research) Institut de Matemàtica, Universitat de Barcelona, Spain
2014/04/19 - 2014/07/19 Visiting Researcher (Research) Universidade Estadual de Campinas Instituto de Matemática Estatística e Computação Científica, Brazil
2011/10/15 - 2012/01/30 Visiting Researcher (Research) Universidade Estadual de Campinas Instituto de Matemática Estatística e Computação Científica, Brazil

Teaching in Higher Education

Category
Host institution 		Employer
2021 - Current Associate Professor (University Teacher) ISCTE-Instituto Universitário de Lisboa, Portugal
ISCTE-Instituto Universitário de Lisboa, Portugal
2008/04/12 - 2021 Assistant Professor (University Teacher) ISCTE-Instituto Universitário de Lisboa, Portugal
2003/10/01 - 2008/04/12 Assistant (University Teacher) ISCTE-Instituto Universitário de Lisboa, Portugal
2000/09/01 - 2003/10/23 Trainee Assistant (University Teacher) ISCTE-Instituto Universitário de Lisboa, Portugal

Positions / Appointments

Category
Host institution 		Employer
2023/06/19 - Current Membro da Comissão Permanente do Conselho Pedagógico ISCTE-Instituto Universitário de Lisboa, Portugal
2017/10/16 - Current Membro da Comissão Permanente da Comissão Científica do Departamento de Matemática ISCTE-Instituto Universitário de Lisboa, Portugal
2010/05/15 - 2011/03/15 Organic Unit Sub-director ISCTE-Instituto Universitário de Lisboa, Portugal

Others

Category
Host institution 		Employer
1999/09/01 - 2000/07/31 "Ajudante" Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal
Projects

Contract

Designation Funders
2017 - 2019 Fibrados Vectoriales en Geometría Algebraica
MTM2016 78623 P
Researcher
Universitat de Barcelona Departament d'Àlgebra i Geometria, Spain
 Gobierno de España Ministerio de Economia y Competitividad
Concluded
2014 - 2016 Fibrados Vectoriales y Tipo de Representación de una Variedad Proyectiva
MTM2013-45075-P
Researcher
Universitat de Barcelona Departament d'Àlgebra i Geometria, Spain
 Gobierno de España Ministerio de Economia y Competitividad
Concluded
2014 - 2015 Comunidade Portuguesa de Geometria Algébrica
PTDC/MAT-GEO/0675/2012
Concluded
2011 - 2013 Categorías Derivadas y Fibrados Vectoriales
MTM2010-15256
 Gobierno de España Ministerio de Educación y Ciencia
Concluded
2008 - 2013 Geometria Algébrica em Portugal
PTDC/MAT/099275/2008
 Fundação para a Ciência e a Tecnologia
Outputs

Publications

Journal article
  1. Carvalho, L.; Diogo, C.; Mendes, S.; Soares, H.. "On the convexity of the quaternionic essential numerical range". Proceedings of the Edinburgh Mathematical Society 67 3 (2024): 838-851. http://www.scopus.com/inward/record.url?eid=2-s2.0-85193854496&partnerID=MN8TOARS.
    10.1017/S0013091524000336
  2. Carvalho, L.; Diogo, C.; Mendes, S.; Soares, H.. "On the Relation Between S-Spectrum and Right Spectrum". Complex Analysis and Operator Theory 19 1 (2024): http://www.scopus.com/inward/record.url?eid=2-s2.0-85212781787&partnerID=MN8TOARS.
    10.1007/s11785-024-01631-0
  3. Carvalho, L.; Diogo, C.; Mendes, S.; Soares, H.. "Quaternionic essential numerical range of complex operators". Linear and Multilinear Algebra (2024): http://www.scopus.com/inward/record.url?eid=2-s2.0-85205727950&partnerID=MN8TOARS.
    10.1080/03081087.2024.2413653
  4. Carvalho, Luís; Diogo, Cristina; Mendes, Sérgio; Soares, Helena. "A note on the essential numerical range of block diagonal operators". Forum Mathematicum 0 0 (2023): http://dx.doi.org/10.1515/forum-2023-0166.
    10.1515/forum-2023-0166
  5. Sérgio Mendes; Rosa María Miró-Roig; Helena Soares. "Vector bundles ¿ on P3 with homological dimension 2 and ¿(End¿¿) = 1". Forum Mathematicum 33 3 (2021): 809-820. https://doi.org/10.1515/forum-2020-0169.
    10.1515/forum-2020-0169
  6. Mendes, Sérgio; Miro-Roig, Rosa Maria; Soares, Helena. "A family of vector bundles on P^3 of homological dimension 2 and X(End E)=1". Matemática Contemporânea 47 (2020): 171-181. https://mc.sbm.org.br/volumes/volume-47.
    Published
  7. Sérgio Mendes; Rosa M. Miró-Roig; Helena Soares. "A family of vector bundles on P 3 of homological dimension 2 and ¿ (EndE) = 1". Revista Matemática Contemporânea (2020): https://doi.org/10.21711/231766362020/rmc478.
    10.21711/231766362020/rmc478
  8. Marchesi, Simone; Macias Marques, Pedro; Soares, Helena. "Monads on projective varieties". Pacific Journal of Mathematics 296 1 (2018): 155-180. http://dx.doi.org/10.2140/pjm.2018.296.155.
    Published • 10.2140/pjm.2018.296.155
  9. Soares, Helena; Sequeira, Tiago Neves; Marques, Pedro Macias; Gomes, Orlando; Ferreira-Lopes, Alexandra. "Social infrastructure and the preservation of physical capital: Equilibria and transitional dynamics". Applied Mathematics and Computation 321 (2018): 614-632. https://www.sciencedirect.com/science/article/pii/S0096300317307658.
    Published • https://doi.org/10.1016/j.amc.2017.10.056
  10. Miró-Roig, Rosa María; Soares, Helena. "Exceptional bundles of homological dimension {$k$}". Forum Mathematicum 29 3 (2017): 701-715. http://dx.doi.org/10.1515/forum-2015-0058.
    Published • 10.1515/forum-2015-0058
  11. Arrondo, Enrique; Marchesi, Simone; Soares, Helena. "Schwarzenberger bundles on smooth projective varieties". Journal of Pure and Applied Algebra 220 9 (2016): 3307-3326. http://www.scopus.com/inward/record.url?eid=2-s2.0-84960970307&partnerID=MN8TOARS.
    Published • 10.1016/j.jpaa.2016.02.016
  12. Marques, Pedro Macias; Soares, Helena. "Cohomological characterisation of monads". Mathematische Nachrichten 287 17-18 (2014): 2057-2070. http://www.scopus.com/inward/record.url?eid=2-s2.0-84913529127&partnerID=MN8TOARS.
    Published • 10.1002/mana.201300208
  13. Soares, Helena; Macias Marques, Pedro. "Monads on Segre varieties". Boletim da Sociedade Portuguesa de Matemática (2012): 83-86.
    Published
  14. Maria Miro-Roig, Rosa; Soares, Helena. "Cohomological characterisation of Steiner bundles". Forum Mathematicum 21 5 (2009): 871-891. https://doi.org/10.1515/FORUM.2009.043.
    Published • 10.1515/FORUM.2009.043
  15. Miro-Roig, Rosa Maria; Soares, Helena. "The stability of exceptional bundles on complete intersection 3-folds". Proceedings of the American Mathematical Society 136 11 (2008): 3751-3757. https://doi.org/10.1090/S0002-9939-08-09258-7.
    Published • 10.1090/S0002-9939-08-09258-7
  16. Soares, Helena. "Steiner bundles on the hyperquadric Q(n) of p^(n+1), n >= 3". Communications in Algebra 35 12 (2007): 4116-4136. https://doi.org/10.1080/00927870701544930.
    Published • 10.1080/00927870701544930
  17. Incensi, Francesca; Soares, Helena. "On some positive embeddings of P^d". Le Matematiche 61 2 (2007): 371-383.
    Published
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023/06/08 On the convexity of the quaternionic essential numerical range 16th Workshop on Numerical Ranges and Numerical Radii
Universidade de Coimbra (Coimbra, Portugal)
2023/04/26 On the existence of vector bundles E of homological dimension 2 and chi(End E)=1 Seminário CIMA/DMat/PDout
Universidade de Évora (Évora, Portugal)
2022/08/19 Vector bundles E on P3 with homological dimension 2 and chi(EndE) = 1 Encontro Conjunto Brasil-Portugal em Matemática
Universidade Federal da Bahia (Bahia, Brazil)
2022/07/07 Quaternionic numerical range Encontro Anual do CIMA
Universidade de Évora (Évora, Portugal)
2022 Quaternionic Numerical Range Encontro Nacional da Sociedade de Matemática Portuguesa 2022
Instituto Politécnico de Tomar (Tomar, Portugal)
2016/07 Exceptional bundles of homological dimension k, invited speaker ENSPM 2016
Sociedade Portuguesa de Matemática (Barreiro, Portugal)
2015/07/21 Monads on ACM varieties, invited speaker Mathematical Meeting, Universidad Complutense de Madrid
Universidad Complutense de Madrid (Madrid, Spain)
2015/07/09 Exceptional bundles of homological dimension k, invited speaker Barcelona Algebraic Geometry Days
Universitat de Barcelona (Barcelona, Spain)
2014/07/18 Classification of monads on ACM varieties, invited speaker FOLGA
Universidade Federal de Minas Gerais (Belo Horizonte, Brazil)
2014/04/30 Monads on smooth projective varieties
IMECC, Unicamp (Campinas, Brazil)
2014/04/04 Simple and exceptional bundles of homological dimension 2
Universidade do Porto (Porto, Portugal)
2013/04/30 Schwarzenberger and Steiner bundles on projective varieties
Universidade de Campinas (Campinas, Brazil)
2013/04/10 Monads on Segre varieties
Universidade de Campinas (Campinas, Brazil)
2012/07/09 Monads on multiprojective spaces, invited speaker ENSPM 2012
Sociedade Portuguesa de Matemática (Faro, Portugal)
2012/01/25 Cohomological characterisation of cohomology sheaves of some monads
IMPA (Rio de Janeiro, Brazil)
2011/12/14 Jumping subspaces of Steiner bundles
Universidade de Campinas (Campinas, Brazil)
2011/10/16 Cohomological characterisation of monads, invited speaker 11th ALGA
(São Paulo, Brazil)
2010/06/05 Steiner bundles on algebraic varieties, invited speaker Journées Paloises de Géométrie Algébrique
Université de Pau et des Pays de l’Adour (Pau, France)

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2015/07/01 - 2015/07/03 Conference on Algebraic Surfaces on the occasion of Margarida Mendes Lopes 60th birthday (2015/07/01 - 2015/07/03)
Conference (Co-organisor)
2015/06/10 - 2015/06/13 Special Session "Vector bundles on projective varieties" (2015/06/10 - 2015/06/13)
Conference (Co-organisor)
 American Mathematical Society, United States

European Mathematical Society, Germany

Sociedade Portuguesa de Matemática, Portugal
2010/06/14 - 2010/06/18 VBAC 2010, Vector Bundles on Algebraic Curves (2010/06/14 - 2010/06/18)
Conference (Member of the Organising Committee)

Event participation

Activity description
Type of event 		Event name
Institution / Organization
2018/07/26 - 2018/07/31 Presentation of the poster "Monads on projective varieties", joint work with Simone Marchesi and Pedro Macias Marques
Conference
 Moduli spaces in Algebraic Geometry and Applications
Universidade Estadual de Campinas, Brazil