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Carlos A. A. Florentino has a PhD in Mathematics from Stony Brook University (USA), Master in Matemathics from Stanford University and "Licenciatura" in Physics and Engeneering by Universidade de Lisboa, Instituto Superior Técnico. He Is a Full Professor at Faculdade de Ciências, University of Lisbon and the current Coordinator of CEMS.UL, Center for Mathematical Studies, Ciências ULisboa (previously CMAFcIO). He has authored many research articles published in international journals in the fields of Geometry, Topology, Algebra, Analysis and Mathematical Physics. He is an Editor of Open Mathematics (Walter de Gruyter), of Boletim da Sociedade Portuguesa de Matemática and of Bulletin of CIM (Centro Internacional de Matemática, Portugal).
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Identification

Personal identification

Full name
Carlos Armindo Arango Florentino

Citation names

  • Florentino, Carlos Armindo Arango
  • Carlos A. A. Florentino
  • Carlos Florentino

Author identifiers

Ciência ID
681B-1675-B20D
ORCID iD
0000-0003-1001-0352
Google Scholar ID
https://scholar.google.pt/citations?user=lvsRdFMAAAAJ
Researcher Id
A-7883-2013
Scopus Author Id
6602533698

Websites

Knowledge fields

  • Exact Sciences - Mathematics - Pure Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Spanish; Castilian Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
French Beginner (A1) Advanced (C1) Intermediate (B1) Beginner (A1)
Education
Degree Classification
2008/10 - 2008/10
Concluded
 Matemática (Título de Agregado)
Universidade de Lisboa, Portugal
1994/01 - 1997/08
Concluded
 Mathematics (Doutoramento)
Stony Brook University, United States
"On Schottky vector bundles over Riemann surfaces" (THESIS/DISSERTATION)
1992/08 - 1993/12
Concluded
 Matemathics (Mestrado)
Stanford University Department of Mathematics, United States
1986/09 - 1991/07
Concluded
 Engenharia Física Tecnológica (Licenciatura)
Universidade de Lisboa Instituto Superior Técnico, Portugal
 17
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2024/02/01 - Current Full Professor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
2015/12/01 - 2024/01/31 Associate Professor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
2015/05/01 - 2015/12/01 Associate Professor (University Teacher) Universidade de Lisboa Instituto Superior Técnico, Portugal
1998/04 - 2015/04 Assistant Professor (University Teacher) Universidade de Lisboa Instituto Superior Técnico, Portugal

Positions / Appointments

Category
Host institution 		Employer
2023/09/20 - Current Organic Unit Director Universidade de Lisboa Faculdade de Ciências, Portugal
Center for Mathematical Studies, Ciências ULisboa, Portugal
2018/01/01 - 2023/10/20 Membro Integrado Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
2020/09/01 - 2021/09/01 Mathematics Degree Coordinator Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Faculdade de Ciências, Portugal
2004/04/17 - 2017/12/31 Membro Integrado Universidade de Lisboa Instituto Superior Técnico, Portugal
Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
Projects

Grant

Designation Funders
2018/09 - 2021/08 Irregular connections on algebraic curves and quantum field theory (QuantumG)
PTDC/MAT-PUR/30234/2017
Universidade de Lisboa Grupo de Física Matemática, Portugal
 Fundação para a Ciência e a Tecnologia
Ongoing
2013/05 - 2016/04 Geometry and Mathematical-Physics
Provided by PTCRIS: 126662
 Fundação para a Ciência e a Tecnologia, I.P.
2013/07 - 2015/10 Portuguese Algebraic Geometry Community
Provided by PTCRIS: 125240
 Fundação para a Ciência e a Tecnologia, I.P.
2012/03 - 2015/02 Higgs bundles and Character varieties
Provided by PTCRIS: 120411
 Fundação para a Ciência e a Tecnologia, I.P.
2012/01 - 2014/12 Geometry of Quantization
Provided by PTCRIS: 119689
 Fundação para a Ciência e a Tecnologia, I.P.
2010/01 - 2013/07 Algebraic Geometry
Provided by PTCRIS: 99275
 Fundação para a Ciência e a Tecnologia, I.P.
2007/01 - 2009/04 Moduli Spaces and String Theory
Provided by PTCRIS: 82198
 Fundação para a Ciência e a Tecnologia
2005/07 - 2007/10 Moduli Spaces and String Theory
Provided by PTCRIS: 58549
 Fundação para a Ciência e a Tecnologia, I.P.

Contract

Designation Funders
2013/01/01 - 2023/12/31 Grupo de Física-Matemática da Universidade de Lisboa
UID/MAT/00208/2019
Universidade de Lisboa Grupo de Física Matemática, Portugal

FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal

Universidade de Lisboa Faculdade de Ciências, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2019/01/01 - 2019/12/31 Centro de Matemática, Aplicações Fundamentais e Investigação Operacional
UID/MAT/04561/2019
FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal

Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal

Universidade de Lisboa Faculdade de Ciências, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
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

Universidade de Lisboa Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2013/05/01 - 2016/04/30 Geometria e Física-Matemática
EXCL/MAT-GEO/0222/2012
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2013/07/25 - 2015/10/24 Comunidade Portuguesa de Geometria Algébrica
PTDC/MAT-GEO/0675/2012
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal

Universidade de Coimbra, Portugal

Universidade do Porto Faculdade de Ciências, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2012/03/01 - 2015/02/28 Fibrados de Higgs e Variedades de Carácteres
PTDC/MAT/120411/2010
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2012/01/01 - 2014/12/31 Geometria da Quantização
PTDC/MAT/119689/2010
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal

Universidade de Lisboa Instituto Superior Técnico, Portugal

Universidade de Lisboa Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2010/01/25 - 2013/07/24 Geometria Algébrica
PTDC/MAT/099275/2008
Universidade de Lisboa Instituto Superior Técnico, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2005/07/01 - 2007/10/30 Espaços Moduli e Teoria de Cordas
POCI/MAT/58549/2004
Universidade de Lisboa Instituto Superior Técnico, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book chapter
  1. Biswas, Indranil; Florentino, Carlos Armindo Arango; Nozad, Azizeh. Corresponding author: Florentino, Carlos Armindo Arango. "Topology of the Moduli Spaces of Higgs Bundles over Abelian Varieties". 2024.
    Accepted
  2. Carlos A. A. Florentino; Nozad, Azizeh; Jaime Mancelos Silva; Alfonso Zamora Saíz. "On Hodge Polynomials of Singular Character Varieties". In Current Trends in Analysis, its Applications and Computation, 99-110. Springer International Publishing, 2022.
    10.1007/978-3-030-87502-2_11
Book review
  1. Florentino, Carlos Armindo Arango. "Riemann surfaces [book review of MR2856237]". (2012):
Conference paper
  1. Florentino, Carlos Armindo Arango. "The two forests game and the four colour theorem". Paper presented in Recreational Mathematics Colloquium V (2017), LISBOA, 2017.
  2. Florentino, Carlos Armindo Arango; Florentino, Carlos Armindo Arango. "Character Varieties and the Moduli of Quiver Representations". 2013.
    10.1090/conm/590
Journal article
  1. Carlos Florentino; Sean Lawton. "Flawed groups and the topology of character varieties". Topology and its Applications (2024): http://dx.doi.org/10.1016/j.topol.2023.108756.
    10.1016/j.topol.2023.108756
  2. Carlos Florentino; Azizeh Nozad; Alfonso Zamora. "Generating series for the E -polynomials of GL(n,C)$GL(n,{\mathbb {C}})$-character varieties". Mathematische Nachrichten (2022): https://doi.org/10.1002/mana.202000416.
    10.1002/mana.202000416
  3. Florentino, C.A.A.. "Plethystic exponential calculus and characteristic polynomials of permutations". Discrete Mathematics Letters 8 (2022): 22-29. http://www.scopus.com/inward/record.url?eid=2-s2.0-85119694257&partnerID=MN8TOARS.
    10.47443/DML.2021.094
  4. Carlos Florentino; Azizeh Nozad; Alfonso Zamora. "Serre polynomials of SLn- and PGLn-character varieties of free groups". Journal of Geometry and Physics 161 (2021): 104008-104008. https://doi.org/10.1016/j.geomphys.2020.104008.
    10.1016/j.geomphys.2020.104008
  5. Florentino, C.; Silva, J.. "Hodge-Deligne polynomials of character varieties of free abelian groups". Open Mathematics 19 1 (2021): 338-362. http://www.scopus.com/inward/record.url?eid=2-s2.0-85107132179&partnerID=MN8TOARS.
    10.1515/math-2021-0038
  6. Florentino, C.; Gothen, P.B.; Nozad, A.. "Homotopy type of moduli spaces of G-Higgs bundles and reducibility of the nilpotent cone". Bulletin des Sciences Mathematiques 150 (2019): 84-101. http://www.scopus.com/inward/record.url?eid=2-s2.0-85058209813&partnerID=MN8TOARS.
    10.1016/j.bulsci.2018.10.002
  7. A. C. Casimiro; S. Ferreira; C. Florentino. "Principal Schottky bundles over Riemann surfaces". Geometriae Dedicata (2018): https://doi.org/10.1007/s10711-018-0398-2.
    10.1007/s10711-018-0398-2
  8. Florentino, Carlos Armindo Arango; Florentino, C.; Lawton, S.; Ramras, D.. "Homotopy groups of free group character varieties". Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 17 1 (2017): 143-185. http://www.scopus.com/inward/record.url?eid=2-s2.0-85010816359&partnerID=MN8TOARS.
    10.2422/2036-2145.201510_004
  9. Carlos A. A. Florentino; Ana Casimiro; Lawton, Sean. "On the homotopy type of character varieties". Boletim Soc. Port. Mat May 2017 (2017): 53-57. https://mathscinet.ams.org/mathscinet-getitem?mr=3526614..
    Published
  10. Casimiro, A.; Florentino, C.; Lawton, S.; Oliveira, A.. "Topology of moduli spaces of free group representations in real reductive groups". Forum Mathematicum 28 2 (2016): 275-294. http://www.scopus.com/inward/record.url?eid=2-s2.0-84962542839&partnerID=MN8TOARS.
    10.1515/forum-2014-0049
  11. Florentino, Carlos Armindo Arango. "On the homotopy type of free group character varieties". Bol. Soc. Port. Mat. (2016): http://www.ams.org/mathscinet-getitem?mr=3526614.
  12. Biswas, I.; Florentino, C.. "Character varieties of virtually nilpotent Kähler groups and G-Higgs bundles". Annales de l'Institut Fourier 65 6 (2015): 2601-2612. http://www.scopus.com/inward/record.url?eid=2-s2.0-84958778852&partnerID=MN8TOARS.
    10.5802/aif.2997
  13. Biswas, I.; Florentino, C.; Indranil Biswas; Carlos Florentino. "Higgs bundles and representation spaces associated to morphisms". Archivum Mathematicum 51 4 (2015): 191-199. http://www.scopus.com/inward/record.url?eid=2-s2.0-84957580760&partnerID=MN8TOARS.
    10.5817/AM2015-4-191
  14. Biswas, I.; Florentino, C.; Godinho, L.; Mandini, A.. "Symplectic form on hyperpolygon spaces". Geometriae Dedicata 179 1 (2015): 187-195. http://www.scopus.com/inward/record.url?eid=2-s2.0-84947491959&partnerID=MN8TOARS.
    10.1007/s10711-015-0075-7
  15. Biswas, I.; Florentino, C.; Lawton, S.; Logares, M.. "The topology of parabolic character varieties of free groups". Geometriae Dedicata 168 1 (2014): 143-159. http://www.scopus.com/inward/record.url?eid=2-s2.0-84893650511&partnerID=MN8TOARS.
    10.1007/s10711-012-9822-1
  16. Florentino, C.; Ludsteck, T.. "Unipotent schottky bundles on riemann surfaces and complex tori". International Journal of Mathematics 25 6 (2014): http://www.scopus.com/inward/record.url?eid=2-s2.0-84903528663&partnerID=MN8TOARS.
    10.1142/S0129167X14500566
  17. Florentino, C.; Lawton, S.. "Topology of character varieties of Abelian groups". Topology and its Applications 173 (2014): 32-58. http://www.scopus.com/inward/record.url?eid=2-s2.0-84901377528&partnerID=MN8TOARS.
    10.1016/j.topol.2014.05.009
  18. Florentino, Carlos Armindo Arango. "Polygons in Minkowski three space and parabolic Higgs bundles of rank 2 on CP1". Transformation Groups (2013): 1-24. http://www.scopus.com/inward/record.url?eid=2-s2.0-84881364274&partnerID=MN8TOARS.
    10.1007/s00031-013-9238-5
  19. Biswas, I.; Florentino, C.. "Commuting elements in reductive groups and Higgs bundles on abelian varieties". Journal of Algebra 388 (2013): 194-202. http://www.scopus.com/inward/record.url?eid=2-s2.0-84892560213&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2013.05.006
  20. Biswas, I.; Florentino, C.; Mourão, J.; Nunes, J.P.. "Quantization of some moduli spaces of parabolic vector bundles on CP1". Annals of Global Analysis and Geometry 43 2 (2013): 161-176. http://www.scopus.com/inward/record.url?eid=2-s2.0-84874020795&partnerID=MN8TOARS.
    10.1007/s10455-012-9340-2
  21. Florentino, C.; Lawton, S.. "Singularities of free group character varieties". Pacific Journal of Mathematics 260 1 (2012): 149-179. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872825760&partnerID=MN8TOARS.
    10.2140/pjm.2012.260.149
  22. Florentino, Carlos Armindo Arango. "Stability of Affine G-varieties and Irreducibility in Reductive Groups". International Journal of Mathematics (2012): http://www.worldscientific.com/doi/abs/10.1142/S0129167X12500826.
    10.1142/S0129167X12500826
  23. Biswas, I.; Florentino, C.. "The topology of moduli spaces of group representations: The case of compact surface". Bulletin des Sciences Mathematiques 135 4 (2011): 395-399. http://www.scopus.com/inward/record.url?eid=2-s2.0-79956106249&partnerID=MN8TOARS.
    10.1016/j.bulsci.2011.02.004
  24. Baier, T.; Florentino, C.; Mourão, J.M.; Nunes, J.P.. "Toric kähler metrics seen from infinity, quantization and compact tropical amoebas". Journal of Differential Geometry 89 3 (2011): 411-454. http://www.scopus.com/inward/record.url?eid=2-s2.0-84862134991&partnerID=MN8TOARS.
  25. Biswas, I.; Florentino, C.. "A remark on "Connections and Higgs fields on a principal bundle"". Annals of Global Analysis and Geometry 40 3 (2011): 287-289. http://www.scopus.com/inward/record.url?eid=2-s2.0-80052035921&partnerID=MN8TOARS.
    10.1007/s10455-011-9257-1
  26. Florentino, C.; Lawton, S.. "The topology of moduli spaces of free group representations". Mathematische Annalen 345 2 (2009): 453-489. http://www.scopus.com/inward/record.url?eid=2-s2.0-70350018109&partnerID=MN8TOARS.
    10.1007/s00208-009-0362-4
  27. Florentino, C.A.A.. "Simultaneous similarity and triangularization of sets of 2 by 2 matrices". Linear Algebra and Its Applications 431 9 (2009): 1652-1674. http://www.scopus.com/inward/record.url?eid=2-s2.0-68349139703&partnerID=MN8TOARS.
    10.1016/j.laa.2009.05.037
  28. Florentino, C.; Matias, P.; Mourão, J.; Nunes, J.P.. "On the BKS pairing for Kähler quantizations of the cotangent bundle of a Lie group". Journal of Functional Analysis 234 1 (2006): 180-198. http://www.scopus.com/inward/record.url?eid=2-s2.0-33645896146&partnerID=MN8TOARS.
    10.1016/j.jfa.2005.12.007
  29. Florentino, Carlos Armindo Arango. "Invariants of 2 × 2 matrices, irreducible SL(2,C) characters and the Magnus trace map". Geometriae Dedicata 121 1 (2006): 167-186. http://www.scopus.com/inward/record.url?eid=2-s2.0-33846028505&partnerID=MN8TOARS.
    10.1007/s10711-006-9097-5
  30. Florentino, Carlos Armindo Arango. "Theta functions, geometric quantization and unitary Schottky bundles". Contemporary Mathematics (2006):
    10.1090/conm/397
  31. Florentino, Carlos Armindo Arango. "O número de pontos inteiros numa circunferência". Bol. Soc. Port. Mat. (2006): https://mathscinet.ams.org/mathscinet-getitem?mr=2255894.
  32. Florentino, C.; Matias, P.; Mourão, J.; Nunes, J.P.. "Geometric quantization, complex structures and the coherent state transform". Journal of Functional Analysis 221 2 (2005): 303-322. http://www.scopus.com/inward/record.url?eid=2-s2.0-14644424633&partnerID=MN8TOARS.
    10.1016/j.jfa.2004.10.021
  33. Florentino, Carlos Armindo Arango; Mourão, José; Nunes, João P.. "Coherent state transforms and Theta Functions". Proceedings of Steklov Institute of Mathematics 246 2004 (2004): 283-302. https://www.mathnet.ru/eng/tm/v246/p297.
    Open access • Published
  34. Florentino, C.A.; Mourão, J.M.; Nunes, J.P.. "Coherent state transforms and vector bundles on elliptic curves". Journal of Functional Analysis 204 2 (2003): 355-398. http://www.scopus.com/inward/record.url?eid=2-s2.0-0344550409&partnerID=MN8TOARS.
    10.1016/S0022-1236(03)00108-3
  35. Florentino, C.A.; Mourão, J.M.; Nunes, J.P.. "Coherent state transforms and abelian varieties". Journal of Functional Analysis 192 2 (2002): 410-424. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037055188&partnerID=MN8TOARS.
    10.1006/jfan.2001.3903
  36. Florentino, C.; Carlos Florentino. "Schottky uniformization and vector bundles over Riemann surfaces". Manuscripta Mathematica 105 1 (2001): 69-83. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035631154&partnerID=MN8TOARS.
    10.1007/PL00005874
Newsletter article
  1. Carlos A. A. Florentino. "Interview with Bruno Loff", CIM Bulletin, 2023, https://www.cim.pt/magazines/bulletin/45/article/328/pdf.
  2. Florentino, Carlos Armindo Arango. "Daniel Augusto da Silva, Poet of Mathematics", 2018, http://www.cim.pt/docs/102/pdf.
  3. Carlos A. A. Florentino; Jorge Miguel Milhazes Freitas. Corresponding author: Carlos A. A. Florentino. "Interview with Jean-Pierre Bourguignon", CIM Bulletin, 2016, https://www.cim.pt/magazines/bulletin/3/article/30/pdf.
Thesis / Dissertation
  1. Florentino, Carlos Armindo Arango. "On Schottky vector bundles over Riemann surfaces". 1997. https://mathscinet.ams.org/mathscinet-getitem?mr=2696464.

Other

Other output
  1. Characterizing maximal varieties via Bredon cohomology. 2023. Carlos A. A. Florentino; Pedro Ferreira dos Santos; Javier Orts. https://arxiv.org/abs/2310.17554.
  2. Mixed Hodge structures on character varieties of nilpotent groups. 2021. Florentino, C.; Lawton, S.; Silva, J.. https://arxiv.org/abs/2110.07060.
  3. Representations of surface groups into Lie groups: Algebra, geometry and quantization. Habilitation Thesis. 2008. Carlos A. A. Florentino.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023/01/18 Topology and MHSs of Representation and Character Varieties of Abelian and Nilpotent groups Geometry Seminar
ICMAT - Instituto de Ciencias Matemáticas (Madrid, Spain)
2022/12/09 Geometry and topology of generalized polygon spaces Semina´rio de Geometria e Topologia
Universidade do Porto (Porto, Portugal)
2022/07/29 Topology and Mixed Hodge structurs of Representation and Character Varieties of Abelian/Nilpotent groups VBAC 2022: Moduli Spaces and Vector Bundles — New Trends, on the occasion of Peter Newstead’s 80th birthday
University of Warwick (Warwick, United Kingdom)
2019/09/11 E-polynomials of SL(n,C)-character varieties of free groups Semina´rio de Geometri´a y Topologi´a IN- SEGTO
Universidad de Malaga (Malaga, Spain)
2019/07/31 Generating functions for Hodge-Deligne polynomials of GL(n,C)-character varieties ISAAC Congress
Universidade de Aveiro (Aveiro, Portugal)
2018/01/26 Geometry and Topology of character varieties 7th Iberoamerican Congress on Geometry
University of Valladolid (Valladolid, Spain)
2014/08/25 Geometry of character varieties of Abelian groups The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles
Institute of Mathematical Sciences, National University of Singapore (Singapore)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2019/01/01 - Current Symmetric Products of GM-varieties
Co-supervisor
Universidade de Lisboa Instituto Superior Técnico, Portugal
2023 - 2023 Applications of the Relative Hermitian Duality Functor for Relative Regular Holonomic D-modules
Co-supervisor
 Matemática (Master)
Universidade de Lisboa Faculdade de Ciências, Portugal
2018/01/01 - 2022/06/01 Matrix models and phase transitions in gauge theories
Co-supervisor of Leonardo Santilli
Universidade de Lisboa Faculdade de Ciências, Portugal
2017/01/01 - 2021/11/26 Geometry and Topology of generalized polygon spaces
Supervisor of Carlos Sotillo Rodríguez
Universidade de Lisboa Faculdade de Ciências, Portugal
2018/03/12 - 2018/11/12 Riemann surfaces and Dessins d'enfant
Supervisor
 Matemática (Master)
Universidade de Lisboa Faculdade de Ciências, Portugal
2012/12/01 - 2018/04/30 Mixed Hodge Structures on Character Varieties
Supervisor of Jaime Mancelos Silva
Universidade de Lisboa Instituto Superior Técnico, Portugal
2016/01/01 - 2017/06/01 Higgs bundles and Character Varieties
Supervisor
 Matemática (Other)
Universidade de Lisboa Faculdade de Ciências, Portugal
2014/11/11 - 2015/06/25 Moduli spaces and Character varieties
Supervisor
Universidade de Lisboa Faculdade de Ciências, Portugal
2009/01/07 - 2014/09/12 Schottky principal bundles over compact Riemann surfaces
Supervisor of Susana Ferreira
Universidade NOVA de Lisboa Faculdade de Ciências e Tecnologia, Portugal
2012 - 2012 Classification of fiber bundles over the Riemann sphere
Supervisor
 Matemática e Aplicações (Master)
Universidade de Lisboa Instituto Superior Técnico, Portugal

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2022/10/10 Application of flows in imaginary time to quantization
(Thesis) Arguer
 Augusto Pereira (PhD)
Universidade de Lisboa Instituto Superior Técnico, Portugal
2020/12/14 Semistable Higgs bundles on elliptic surfaces
(Thesis) Arguer
 Vitantonio Peragine (PhD)
Scuola Internazionale Superiore di Studi Avanzati Sezione Matematica, Italy
2015/06/26 Hodge polynomials of character varieties
(Thesis) Arguer
 Javier Martinez-Martinez (PhD)
Universidad Complutense de Madrid Departamento de Álgebra Geometría y Topología, Spain

Conference scientific committee

Conference name Conference host
2010/06/01 - Current Vector Bundles on Algebraic Curves
2024/07/08 - 2024/07/12 Integrability and Moduli. A conference in honor of Leon Takhtajan Faculdade de Ciências, University of Lisbon

Evaluation committee

Activity description
Role 		Institution / Organization Funding entity
2014 - Current Expert Evaluator for the European Commission in the area of Mathematics (Horizon 2020 and Horizon Europe)
Evaluator
 European Commission, Belgium European Commission
2019/03/01 - 2019/09/01 Member of Evaluation Panel of PhD Fellowships of FCT 2019 Call, for the field of Mathematics.
Evaluator
 Fundação para a Ciência e a Tecnologia, I.P., Portugal Fundação para a Ciência e a Tecnologia

Journal scientific committee

Journal title (ISSN) Publisher
2023/01/01 - Current Open Mathematics (2391-5455) Walter de Gruyter
2018/01/01 - Current CIM Bulletin (2183-8062) Centro Internacional de Matemática
2012/01/01 - Current Boletim da Sociedade Portuguesa de Matemática (0872-3672) Sociedade Portuguesa de Matemática

Scientific expedition

Activity description Institution / Organization
2023/07/30 - 2023/08/08 Research in pairs on the topology of character varieties of generalized torus link groups Institut des Hautes Études Scientifiques, France
2016/06/01 - 2016/06/17 Thematic Period "New perspectives on Higgs bundles, branes and quantization" Simons Center for Geometry and Physics, United States
Distinctions

Award

1996 Graduate Fellowship
Fundação Luso-Americana para o Desenvolvimento, Portugal