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André Oliveira's wide area of research is Algebraic Geometry, and its connections with Algebraic Topology, Differential Geometry and Theoretical Physics. More precisely, his main research work is on the study of geometrical and topological properties of moduli spaces of Higgs bundles, and its connections with: -- Mirror Symmetry (Hitchin system; branes; Geometric Langlands Program; compactified Jacobians; Fourier-Mukai transforms). -- Representation theory (non-abelian Hodge correspondence; higher Teichmuller theory; geometric structures on surfaces; Lie theory). He has 18 published papers, plenty of communications and a wide variety of working visits to its collaborators.
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Identification

Personal identification

Full name
André Gama Oliveira

Citation names

  • Oliveira, André

Author identifiers

Ciência ID
7F17-071A-C5B1
ORCID iD
0000-0003-4850-6222
AuthenticusID
R-000-1PE
Google Scholar ID
5RCK1mkAAAAJ
Researcher Id
I-1688-2013
Scopus Author Id
37039735900

Addresses

  • Centro de Matemática da Universidade do Porto, Faculdade de Ciências, Rua do Campo Alegre, 687, 4169-007, Porto, Porto, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics - Pure Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Spanish; Castilian Advanced (C1) Advanced (C1) Intermediate (B1) Advanced (C1)
French Intermediate (B1) Advanced (C1) Intermediate (B1) Intermediate (B1)
Education
Degree Classification
2015/09/01 - 2019/01/31
Concluded
 Geometry of Moduli of Higgs Bundles (Pós-doutoramento)
Universidade do Porto Faculdade de Ciências, Portugal
2004 - 2008
Concluded
 Matemática (Doutoramento)
Universidade do Porto, Portugal
"Higgs bundles, quadratic pairs and the topology of moduli spaces" (THESIS/DISSERTATION)
 Aprovado por unanimidade (maximum classification)
1999 - 2002
Concluded
 Matemática - Fundamentos e Aplicações (Mestrado)
Universidade do Porto, Portugal
"Valorações Invariantes e Volumes Intrínsecos de Corpos Convexos" (THESIS/DISSERTATION)
 Muito Bom (maximum classification)
1994 - 1999
Concluded
 Matemática - Ramo Educacional (Licenciatura)
Universidade do Porto, Portugal
 16
Affiliation

Science

Category
Host institution 		Employer
2019/02/01 - Current Contracted Researcher (Research) Universidade do Porto Faculdade de Ciências, Portugal
Universidade do Porto Centro de Matemática, Portugal
2015/09/01 - 2019/01/31 Postdoc (Research) Universidade do Porto Faculdade de Ciências, Portugal

Teaching in Higher Education

Category
Host institution 		Employer
2008/12/19 - 2015/08/31 Assistant Professor (University Teacher) Universidade de Trás-os-Montes e Alto Douro, Portugal
2002/04 - 2008/12 Assistant (University Teacher) Universidade de Trás-os-Montes e Alto Douro, Portugal
1999/10 - 2002/04 Trainee Assistant (University Teacher) Universidade de Trás-os-Montes e Alto Douro, Portugal
Projects

Grant

Designation Funders
2015/09/01 - 2019/01/31 Geometry of Moduli of Higgs Bundles
SFRH/BPD/100996/2014
Universidade do Porto Centro de Matemática, Portugal
 Associação para a Inovação e Desenvolvimento da FCT
Concluded
2011/09 - 2017/08 RNMS: Geometric structures and representation varieties
1107452
 National Science Foundation - Directorate for Mathematical & Physical Sciences
2005/09/01 - 2008/08/31 Topology of moduli spaces of surface group representations
SFRH/BD/23334/2005
PhD Student Fellow
Universidade do Porto Centro de Matemática, Portugal
 Associação para a Inovação e Desenvolvimento da FCT
Concluded

Contract

Designation Funders
2024/01 - Current Symmetries and Invariants in Geometry and Arithmetic
PID2022-142024NB-I00
Consultor
Instituto de Ciencias Matemáticas, Spain
2023/09/01 - Current Aplicaciones de métodos computacionales y de inteligencia artificial al estudio de espacios de moduli (CIAMOD)
PP2023-9
Consultor
Universidad Pontificia Comillas, Spain
Ongoing
2021/01/01 - 2025/12/31 Laboratório Associado de Sistemas Inteligentes
10.54499/LA/P/0104/2020
Universidade Nova de Lisboa Centro de Tecnologias e Sistemas, Portugal

Universidade de Aveiro Centro de Tecnologia Mecânica e Automação, Portugal

Instituto Politécnico do Porto Centro de Investigação em Sistemas Computacionais Embebidos e de Tempo-Real, Portugal

Universidade do Minho, Portugal

Universidade do Porto Faculdade de Ciências, Portugal

Universidade do Porto Centro de Matemática, Portugal

Instituto Politécnico do Cávado e do Ave, Portugal

Universidade do Porto Laboratório de Inteligência Artificial e Ciência de Computadores, Portugal

Universidade do Minho Instituto de Polímeros e Compósitos, Portugal

Universidade de Aveiro Instituto de Engenharia Eletrónica e Informática de Aveiro, Portugal

Universidade do Minho Centro ALGORITMI, Portugal

Universidade Nova de Lisboa Unidade de Investigação e Desenvolvimento em Engenharia Mecânica e Industrial, Portugal

Instituto Politécnico do Porto Instituto Superior de Engenharia do Porto, Portugal

Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Informatica e Sistemas, Portugal

Instituto Politécnico do Porto Grupo de Investigação em Engenharia e Computação Inteligente para a Inovação e o Desenvolvimento, Portugal

Universidade de Aveiro, Portugal

Universidade NOVA de Lisboa, Portugal

Universidade do Porto Faculdade de Engenharia, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2021/01/01 - 2025/12/31 Intelligent Systems Associate Laboratory
LA/P/0104/2020
Universidade Nova de Lisboa Centro de Tecnologias e Sistemas, Portugal

Universidade de Aveiro Centro de Tecnologia Mecânica e Automação, Portugal

Instituto Politécnico do Porto Centro de Investigação em Sistemas Computacionais Embebidos e de Tempo-Real, Portugal

Universidade do Minho, Portugal

Universidade do Porto Faculdade de Ciências, Portugal

Universidade do Porto Centro de Matemática, Portugal

Universidade Nova de Lisboa, Portugal

Universidade do Porto Laboratório de Inteligência Artificial e Ciência de Computadores, Portugal

Universidade do Minho Instituto de Polímeros e Compósitos, Portugal

Universidade de Aveiro Instituto de Engenharia Eletrónica e Informática de Aveiro, Portugal

Universidade do Minho Centro ALGORITMI, Portugal

Universidade Nova de Lisboa Unidade de Investigação e Desenvolvimento em Engenharia Mecânica e Industrial, Portugal

Universidade de Aveiro, Portugal

Instituto Politécnico do Porto Instituto Superior de Engenharia do Porto, Portugal

Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Informatica e Sistemas, Portugal

Instituto Politécnico do Cávado e do Ave, Portugal

Instituto Politécnico do Porto Grupo de Investigação em Engenharia e Computação Inteligente para a Inovação e o Desenvolvimento, Portugal

Universidade do Porto Faculdade de Engenharia, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2022/01/17 - 2024/01/16 Mirror symmetry on Higgs bundles moduli spaces
EXPL/MAT-PUR/1162/2021
Principal investigator
Universidade do Porto Faculdade de Ciências, Portugal
 Fundação para a Ciência e a Tecnologia
Ongoing
2021/01/01 - 2023/12/31 Hitchin-Ngo Laboratory
.
Researcher
Instituto de Ciencias Matemáticas, Spain
2019/01/01 - 2019/12/31 Centre for Mathematics of the University of Porto
UID/MAT/00144/2019
Universidade do Porto Faculdade de Ciências, Portugal

Universidade do Porto Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2016/01 - 2019/11/30 Geometry of Algebraic Varieties
Provided by PTCRIS: 141450
Researcher
Fundação para a Ciência e a Tecnologia, I.P.
2012 - 2019 GEAR Network -- GEAR (Geometric Structures and Representation Varieties) Network
DMS 1107452, 1107263, 1107367
Researcher
Universidade do Porto, Portugal
 National Science Foundation - Directorate for Mathematical & Physical Sciences
Ongoing
2013 - 2017 Moduli Spaces and Geometric Structures
MTM2013-42870-P
 Gobierno de España
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
2013/05 - 2016/04 Geometry and Mathematical-Physics
126662
Provided by PTCRIS: 126662
 Fundação para a Ciência e a Tecnologia, I.P.
2013/07 - 2015/07 Portuguese Algebraic Geometry Community
Provided by PTCRIS: 125240
125240
PTDC/MAT-GEO/0675/2012
Researcher
Universidade do Porto Centro de Matemática, Portugal
 Fundação para a Ciência e a Tecnologia, I.P.
Concluded
2012/03 - 2015/02 Higgs bundles and Character varieties
120411
Provided by PTCRIS: 120411
 Fundação para a Ciência e a Tecnologia, I.P.
2010/03 - 2013/09 Topological Invariants via Differential Geometry
Provided by PTCRIS: 98770
98770
 Fundação para a Ciência e a Tecnologia, I.P.
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
2010/01 - 2013/07 Algebraic Geometry / Geometria Algébrica
99275
Provided by PTCRIS: 99275
 Fundação para a Ciência e a Tecnologia, I.P.
2011 - 2013 Higgs Bundles and Character Varieties / Fibrados de Higgs e Variedades de Carácteres
PTDC/MAT/120411/2010
Universidade de Trás-os-Montes e Alto Douro, Portugal
Concluded
2011 - 2012 Projecto Estratégico - UI 4080 - 2011-2012 Strategic Project - UI 4080 - 2011-2012
PEst-OE/MAT/UI4080/2011
Researcher
Universidade de Trás-os-Montes e Alto Douro, Portugal
Ongoing
2007/01 - 2009/04 Moduli Spaces and String Theory / Espaços Moduli e Teoria de Cordas
82198
Provided by PTCRIS: 82198
 Fundação para a Ciência e a Tecnologia, I.P.
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
2005/07 - 2007/10 Moduli Spaces and String Theory / Espaços Moduli e Teoria de Cordas
Provided by PTCRIS: 58549
58549
 Fundação para a Ciência e a Tecnologia, I.P.
Outputs

Publications

Journal article
  1. Franco, Emilio; Gothen, Peter B.; Oliveira, Andre; Peon-Nieto, Ana. "Narasimhan-Ramanan branes and wobbly Higgs bundles". International Journal of Mathematics (2024): http://dx.doi.org/10.1142/s0129167x24410064.
    10.1142/s0129167x24410064
  2. Oliveira, A.G.. "Principal bundles on two-dimensional CW-complexes with disconnected structure group". Glasgow Mathematical Journal 64 3 (2022): 675-690. http://www.scopus.com/inward/record.url?eid=2-s2.0-85122894512&partnerID=MN8TOARS.
    10.1017/S0017089521000434
  3. Franco, E.; Gothen, P.B.; Oliveira, A.; Peón-Nieto, A.. "Unramified covers and branes on the Hitchin system". Advances in Mathematics 377 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85096602504&partnerID=MN8TOARS.
    10.1016/j.aim.2020.107493
  4. Biswas, I.; Gómez, T.L.; Oliveira, A.. "Complex Lagrangians in a hyperKähler manifold and the relative Albanese". Complex Manifolds 7 1 (2020): 230-240. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095882499&partnerID=MN8TOARS.
    10.1515/coma-2020-0106
  5. Peter B. Gothen; André G. Oliveira. "Topological mirror symmetry for parabolic Higgs bundles". Journal of Geometry and Physics 137 (2019): 7-34. https://doi.org/10.1016/j.geomphys.2018.08.020.
    10.1016/j.geomphys.2018.08.020
  6. Aparicio-Arroyo, M.; Bradlow, S.; Collier, B.; García-Prada, O.; Gothen, P.B.; Oliveira, A.. "SO(p,q)-Higgs bundles and Higher Teichmüller components". Inventiones Mathematicae 218 1 (2019): 197-299. http://www.scopus.com/inward/record.url?eid=2-s2.0-85068852833&partnerID=MN8TOARS.
    Published • 10.1007/s00222-019-00885-2
  7. Oliveira, A.G.. "Erratum: Representations of surface groups in the projective general linear group (International Journal of Mathematics (2011) 22:2 (223-279) DOI: 10.1142/s0129167x11006787)". International Journal of Mathematics 30 2 (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85062446190&partnerID=MN8TOARS.
    10.1142/S0129167X19920010
  8. Aparicio-Arroyo, M.; Bradlow, S.; Collier, B.; García-Prada, O.; Gothen, P.B.; Oliveira, A.. "Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars". Comptes Rendus Mathematique 356 6 (2018): 666-673. http://www.scopus.com/inward/record.url?eid=2-s2.0-85046619605&partnerID=MN8TOARS.
    10.1016/j.crma.2018.04.024
  9. García-Prada, O.; Oliveira, A.. "Maximal Higgs bundles for adjoint forms via Cayley correspondence". Geometriae Dedicata 190 1 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-85011818193&partnerID=MN8TOARS.
    10.1007/s10711-017-0224-2
  10. Oscar García-Prada; André Oliveira. "Connectedness of Higgs bundle moduli for complex reductive Lie groups". Asian Journal of Mathematics 21 5 (2017): 791-810. https://doi.org/10.4310%2Fajm.2017.v21.n5.a1.
    10.4310/ajm.2017.v21.n5.a1
  11. 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
  12. 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
  13. Oliveira, André. "Quadric bundles applied to non-maximal Higgs bundles". Travaux Mathématiques 24 (2016): 201-220. https://wwwfr.uni.lu/content/download/95895/1161254/file/8oliveira.pdf.
    Open access • Published
  14. Oliveira, André. "Representations, Higgs bundles and components: an overview". CIM bulletin 36 (2016): 17-23. http://www.cim.pt/magazines/bulletin/4.
    Open access • Published
  15. Oliveira, André; Florentino, Carlos; Lawton, Sean; Casimiro, Ana. "On the homotopy type of free group character varieties". (2016): http://hdl.handle.net/10348/6762.
  16. Vicente Muñoz; André G. Oliveira; Jonathan Sánchez. "Motives and the Hodge conjecture for moduli spaces of pairs". Asian Journal of Mathematics 19 2 (2015): 281-306. https://doi.org/10.4310%2Fajm.2015.v19.n2.a5.
    10.4310/ajm.2015.v19.n2.a5
  17. Oliveira, A.G.. "Torelli Theorem for the Moduli Spaces of Rank 2 Quadratic Pairs". Communications in Algebra 43 8 (2015): 3051-3072. http://www.scopus.com/inward/record.url?eid=2-s2.0-84930510697&partnerID=MN8TOARS.
    10.1080/00927872.2014.900563
  18. García-Prada, O.; Oliveira, A.G.. "Connectedness of the moduli of Sp(2p, 2q)-Higgs bundles". Quarterly Journal of Mathematics 65 3 (2014): 931-956. http://www.scopus.com/inward/record.url?eid=2-s2.0-84906995554&partnerID=MN8TOARS.
    10.1093/qmath/hat045
  19. Gothen, P.B.; Oliveira, A.G.. "The singular fiber of the Hitchin map". International Mathematics Research Notices 2013 5 (2013): 1079-1121. http://www.scopus.com/inward/record.url?eid=2-s2.0-84876270571&partnerID=MN8TOARS.
    10.1093/imrn/rns020
  20. Gothen, P.B.; Oliveira, A.G.. "Rank two quadratic pairs and surface group representations". Geometriae Dedicata 161 1 (2012): 335-375. http://www.scopus.com/inward/record.url?eid=2-s2.0-84869131268&partnerID=MN8TOARS.
    10.1007/s10711-012-9709-1
  21. ANDRÉ GAMA OLIVEIRA. "REPRESENTATIONS OF SURFACE GROUPS IN THE PROJECTIVE GENERAL LINEAR GROUP". International Journal of Mathematics 22 02 (2011): 223-279. https://doi.org/10.1142%2Fs0129167x11006787.
    10.1142/s0129167x11006787
  22. Oscar García-Prada; André G. Oliveira. "Higgs bundles for the non-compact dual of the unitary group". Illinois Journal of Mathematics 55 3 (2011): 1155-1181. https://doi.org/10.1215%2Fijm%2F1369841801.
    10.1215/ijm/1369841801
Newsletter article
  1. Oliveira, André; Alfaya, David. "Lie algebroid connections, twisted Higgs bundles and motives of moduli spaces", Preprint: arXiv:2102.12246v4. 66 pages. Submitted for publication , 2021, https://arxiv.org/abs/2102.12246.
  2. Oliveira, André; Gothen, Peter; Bradlow, Steven; Collier, Brian; Garcia-Prada, Oscar. "A general Cayley correspondence and higher Teichmüller spaces", Preprint: arXiv:2101.09377. 66 pages. Submitted for publication, 2021, https://arxiv.org/abs/2101.09377.
  3. Oliveira, André. "Quadric bundles and their moduli spaces", Preprint arXiv:1610.05568., 2016
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2024/04/17 Higgs Bundles and Lie Algebroid Connections Advances in Higgs Bundles
Brin Mathematics Research Center, University of Maryland, US (Maryland, United States)
2024/03/18 Higgs bundles, magical triples and higher rank Teichmüller spaces VBAC Webinar
2024/02/21 Lie algebroid connections degenerating onto twisted Higgs bundles Simposio Internacional de Métodos Matemáticos Aplicados a las Ciencias (XXIV SIMMAC)
Center for Research in Pure and Applied Mathematics (CIMPA) of the University of Costa Rica (UCR) (Liberia, Costa Rica)
2024/02/08 Lie algebroid connections and Higgs bundles Geometry Day
(Lisboa, Portugal)
2023/10/19 Higgs bundles: at the crossroads of algebra, geometry and physics Seminar of the Joint PhD Program UC–UP, FCUP, Universidade do Porto
2023/05/24 Components of Higgs bundles moduli spaces: old and new Workshop on Higgs bundles, character varieties and higher Teichmüller spaces
ICMAT (Miraflores de la Sierra (Madrid), Spain)
2023/03/08 Moduli of twisted Higgs bundles as a degeneration of moduli of Lie algebroid connections Geometry and Algebra Seminar
Centro de Matemática da Universidade de Coimbra (CMUC) (Coimbra, Portugal)
2023/02/17 Mirror symmetry on Higgs bundles moduli spaces Geometry and Topology Seminar, CMUP, Universidade do Porto
2022/09/12 Lagrangians of Hecke cycles Moduli spaces and geometric structures. Conference in honour of Oscar Garc´ia-Prada on the occasion of his 60th birthday
ICMAT (Madrid, Spain)
2022/09/02 Mirror symmetry on Higgs bundles moduli spaces XXX International Fall Workshop on Geometry and Physics
ICMAT (Madrid, Spain)
2022/06/14 Higgs bundles, sl2-triples and higher Teichmüller spaces Geometric Structures (re)United
University of Illinois at Chicago (Chicago, United States)
2022/02/23 A pair of dual branes on the singular locus of the Hitchin system Simposio Internacional de Métodos Matemáticos Aplicados a las Ciencias (XXIII SIMMAC)
Universidad de Costa Rica (UCR) (Costa Rica)
2021/05/19 What is... a moduli space?
Centro de Matemática da UBI
2021/02/25 Congruent numbers: from right triangles to elliptic curves iNigma - 5 às 5 - Math talks for undergraduate students
iNigma (Portugal)
2021/01/22 Lie algebras and higher Teichmüller components Geometry & Physics Seminar, CMAF-CIO
Cmaf-CIO, Faculdade de Ciências da Universidade de Lisboa (Lisboa, Portugal)
2020/02/21 Lie groups and higher Teichmüller spaces Geometry and Topology Seminar
Centro de Matemática da Universidade do Porto (Porto, Portugal)
2020/01/24 Branes on the Hitchin system via torsion bundles Geometry, Algebra and Combinatorics Seminar
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2020/01/16 Higher Teichmüller components and magical nilpotents Séminaire d'algèbre, topologie et géométrie
Laboratoire J.A. Dieudonné (Nice, France)
2019/05/22 Mirror symmetry, Higgs bundles and branes Geometry and Topology Seminar
Centro de Matemática da Universidade do Porto (Porto, Portugal)
2019/03/26 Torsion line bundles and branes on the Hitchin system Discussion Meeting on Bundles 2019
TIFR - Tata Institute of Fundamental Research (Mumbai, India)
2018/12/18 Extra components of Higgs bundles moduli spaces and generalized Cayley correspondence Current Trends in Hitchin Systems
Universidad de Buenos Aires (Buenos Aires, Argentina)
2018/11/12 Generalized Cayley correspondence and higher Teichmüller components for SO(p,q)-Higgs bundles Workshop on New trends in Higgs bundle theory
ICMAT - Instituto de Ciencias Matematicas (Madrid, Spain)
2018/11/09 Exotic components for SO(p,q)-Higgs bundles Seminário de Geometria, Topologia e Aplicações
Universidade do Minho (Braga, Portugal)
2018/10/09 Branes on Higgs bundle moduli and torsion line bundles Geometry and Topology Seminar
University of Maryland (Washington, United States)
2018/07/11 Fibrados de Higgs e seus espaços moduli (Plenary Talk) Encontro Nacional da Sociedade Portuguesa de Matemática (SPM)
Instituto Politécnico de Bragança (Bragança, Portugal)
2018/05/30 Branes on the Hitchin system arising from finite order line bundles Algebraic Geometry Seminar (Hausel Group)
Institute of Science and Technology (IST) (Klosterneuburg, Vienna, Austria)
2017/11/28 Higgs bundles and the beauty of unexpected connections in Mathematics Seminar of the Joint PhD Program UC--UP, CMUP
Faculdade de Ciências da Universidade do Porto (Porto, Portugal)
2017/11/06 Topological mirror symmetry, fixed points and branes Workshop / Conference on 80th birthday of S. Ramanan
ICMAT - Instituto de Ciencias Matematicas (Madrid, Spain)
2017/09/05 Forms and (de)forms: Topology for high-school students Math for high-school sudents
FCUP, Faculdade de Ciências da Universidade do Porto
2017/03/21 Topological mirror symmetry for parabolic Higgs bundles Workshop / Conference on Character Varieties and String Theory
Indian Institute of Science (Bangalore, India)
2017/02/21 Parabolic Higgs bundles and topological mirror symmetry Geometria em Lisboa Seminar, CAMGSD
Instituto Superior Técnico (Lisboa, Portugal)
2016/12/07 Topology and Exotic Phase Transitions of Matter: the 2016 Physics Nobel Prize. The Nobel Prizes of 2016
Universidade de Trás-os-Montes e Alto Douro
2016/11/30 Topological mirror symmetry for parabolic Higgs bundles Algebra and Combinatorics Seminar, CMUC
Faculdade de Ciências e Tecnologia da Universidade de Coimbra (Coimbra, Portugal)
2016/11/25 Exotic components of Higgs bundle moduli spaces Geometry Seminar, Centro de Matemática, Aplicações Fundamentais e Investigação Operacional
Faculdade de Ciências da Universidade de Lisboa (Lisboa, Portugal)
2016 Fixed point subvarieties, nilpotent cone and mixed Hodge polynomials of (parabolic) Higgs bundles Parallel Session of Algebraic Geometry of the Encontro Nacional da Sociedade Portuguesa de Matemática 2016
SPM (Barreiro, Portugal)
2016 Higgs bundles for SO(p,q) and extra connected components VBAC – Vector Bundles on Algebraic Curves, 2016
(Lausanne, Switzerland)
2016 Representations of surface groups, Higgs bundles and their moduli spaces Seminário de Álgebra e Lógica
(Almada, Portugal)
2015 The singular fibers of the Hitchin map Geometry, Groups and Dynamics/GEAR Seminar
(Urbana-Champaign, United States)
2015 Geometry and topology of quadratic pairs moduli spaces Day of Geometry and Topology
CMAT (Braga, Portugal)
2015 Geometry of quadratic pairs moduli spaces School and International Conference on Geometry and Quantization – GEOQUANT 2015
(Madrid, Spain)
2015 Geometry of quadratic pairs moduli spaces Workshop on the Fifty Years of the Narasimhan- Seshadri Theorem
(Chennai, India)
2015 A tiny bit of the world of Higgs bundles CMUP, Pos-Doc Meeting
(Porto, Portugal)
2014 The Hodge conjecture for the moduli spaces of pairs Seminário de Álgebra, Geometria e Aplicações
CM-UTAD (Vila Real, Portugal)
2014 Higgs bundles for a general group Seminario de Geometria
ICMAT (Madrid, Spain)
2014 Connected components of character varieties and Higgs bundles Geometry Seminar
CMUC (Coimbra, Portugal)
2014 Components of moduli spaces of Higgs bundles: an intrinsic approach Workshop on the Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles
Institute of Mathematical Sciences (Singapore, Singapore)
2013 Components of moduli spaces of Higgs bundles Conference on the Pressure Metric and Higgs Bundles
Centre for Quantum Geometry and Moduli Spaces (QGM) (Aarhus, Denmark)
2013 The Hodge conjecture for the moduli spaces of pairs Seminário de Geometria e Topologia
CMUP (Porto, Portugal)
2012 The exceptional fibre of the Hitchin system Seminário de Geometria e Topologia
Centro de Matemática da Universidade do Porto (Porto, Portugal)
2012 Higgs bundles for a general group
(Portugal)
2012 Higgs bundles Seminário de Geometria, Topologia e Física-Matemática
Centro de Matemática da Universidade do Minho (Braga, Portugal)
2012 The Hitchin fibration and parabolic modules Seminario de Geometría y Topología
Facultad de Matematicas (Madrid, Spain)
2012 Quadratic pairs and representations of surface groups Master class and Workshop on Surface Group Representations
Centre de Recerca Matematica (CRM) (Bellaterra (Barcelona), Spain)
2011 Higgs bundles for the non-compact dual of the unitary group Seminar of the semester on Moduli Spaces
Isaac Newton Institute (Cambridge, United Kingdom)
2011 Higgs bundles for the non-compact dual of the unitary group
(Madrid, Spain)
2011 Moduli spaces of quadratic pairs
(Portugal)
2011 Topologia e geometria de espaços de moduli
(Portugal)
2010 Representations of surface groups and Higgs bundles
(Portugal)
2010 Variedades de Caracteres e Fibrados de Higgs
(Portugal)
2010 Quadratic pairs and the Hitchin map
(Portugal)
2010 Character varieties and moduli of Higgs bundles
(Portugal)
2010 Topologically trivial Higgs bundles
(Portugal)
2009 Variedades de Caracteres e Fibrados de Higgs
(Portugal)
2009 Moduli spaces of quadratic pairs over compact Riemann surfaces
(Portugal)
2009 Moduli spaces of quadratic pairs
(India)
2008 Topological Classification of Real Projective Bundles on Surfaces
(Spain)
2008 Representations of Surface Groups in the Real Projective General Linear Group
(Spain)
2008 Representations of the Fundamental Group of a Surface in PGL(n,R)
(Portugal)
2006 Classificação Topológica de Fibrados em Superfícies
(Portugal)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2023/09/01 - Current Lagrangians in Higgs bundle moduli spaces
Co-supervisor
 Matemática (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
2022/09/01 - Current Extensions of Higgs bundles and the nilpotent cone
Co-supervisor of Gabriel Martinho
 Programa Inter-Universitário de Doutoramento em Matemática (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
2022/09/01 - 2023/07/10 Higgs bundles and the Hitchin system
Supervisor of Rodrigo Pereira
 Mestrado em Matemática (Master)
Universidade do Porto Faculdade de Ciências, Portugal
2021/06/15 - 2022/07/14 Metrics on flat bundles
Co-supervisor of Gabriel Martinho
 Mestrado em Matemática (Master)
Universidade do Porto Faculdade de Ciências, Portugal
2018/09/01 - 2019/07/14 Representations on diagrams of categories and applications to parabolic bundles
Co-supervisor of Rui Prezado
 Matemática
Universidade do Porto Faculdade de Ciências, Portugal
2016/11/01 - 2017/04/30 Riemann surfaces, vector bundles, characteristic classes and moduli spaces.
Co-supervisor of André Macedo
Universidade do Porto Faculdade de Ciências, Portugal
2017/01/01 - 2017/03/31 Deformation theory for Higgs bundle moduli spaces.
Co-supervisor of Artur Araújo
Universidade do Porto Faculdade de Ciências, Portugal

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2021/07/14 - 2021/07/14 Invited Organizer of the Algebraic Geometry Parallel Session of the National Meeting of the Portuguese Mathematical Society (2021/07/12 - 2021/07/15)
Congress
 Sociedade Portuguesa de Matemática, Portugal
2019/06/03 - 2019/06/07 Algebraic Analysis and Geometry with a view on Higgs bundles and D-modules (2019/06/03 - 2019/06/07)
Conference (Member of the Organising Committee)
 Universidade do Porto Faculdade de Ciências, Portugal
2019/05/17 - 2019/05/17 CMUP Post-Doc Meeting III. (2019/05/17 - 2019/05/17)
Meeting (Co-organisor)
 Universidade do Porto Centro de Matemática, Portugal
2018/11/30 - 2018/11/30 CMUP Post-Doc Meeting II (2018/11/30 - 2018/11/30)
Meeting (Co-organisor)
 Universidade do Porto Centro de Matemática, Portugal
2018/04/27 - 2018/04/27 CMUP Post-Doc Meeting I (2018/04/27 - 2018/04/27)
Meeting (Co-organisor)
 Universidade do Porto Centro de Matemática, Portugal
2015/06/10 - 2015/06/13 AMS-EMS-SPM International Meeting 2015 (2015/06/10 - 2015/06/13)
Conference (Co-organisor)
 AMS/SPM/EMS, Portugal
2015/06/09 - 2015/06/12 Workshop on Higgs Bundles and Character Varieties (2015/06/09 - 2015/06/12)
Workshop (Co-organisor)
2015 - 2015 Geometry and Topology Session of the CMAT Open Day
Seminar (Other)
2012 - 2012 Geometry and Topology Mini-Courses
Workshop (Other)
2012 - 2012 Regular research seminars of the group of Algebra, Geometry and Applications of CM-UTAD
Seminar (Other)
 Fundação para a Ciência e a Tecnologia, Portugal
2011 - 2011 Escola de Verão de Matemática da SPM
Conference (Member of the Organising Committee)
2011 - 2011 Tardes de Matemática da SPM - Vila Real
Seminar (Co-organisor)
2009 - 2009 I Jornadas SPM/CIM/CM-UTAD de Álgebra, Geometria e Aplicações
Meeting (Member of the Organising Committee)

Event participation

Activity description
Type of event 		Event name
Institution / Organization
2022/07/25 - 2022/07/29 Vector Bundles on Algebraic Curves 2022: Moduli Spaces and Vector Bundles ¿ New Trends
Conference
 Vector Bundles on Algebraic Curves 2022: Moduli Spaces and Vector Bundles – New Trends
University of Warwick Mathematics Institute, United Kingdom
2022/06/27 - 2022/07/01 School on Mirror Symmetry and Moduli Spaces
Conference
 School on Mirror Symmetry and Moduli Spaces
Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal
2021/06/07 - 2021/06/11 Geometric and Analytic aspects of moduli spaces of Higgs bundles
Conference
 Geometric and Analytic aspects of moduli spaces of Higgs bundles
Université de Strasbourg Institut de Recherche sur l'Enseignement des Mathématiques, France
2019/11/18 - 2019/11/22 Workshop on Holomorphic Differentials in Mathematics and Physics
Workshop
 Workshop on Holomorphic Differentials in Mathematics and Physics
Mathematical Sciences Research Institute, United States
2019/06/24 - 2019/06/26 Global Portuguese Mathematicians
Conference
 Global Portuguese Mathematicians
Universidade do Porto Centro de Matemática, Portugal

Universidade do Porto Faculdade de Ciências, Portugal
2019/06/03 - 2019/06/07 Algebraic Analysis and Geometry with a view on Higgs bundles and D-modules
Conference
 Algebraic Analysis and Geometry with a view on Higgs bundles and D-modules
Universidade do Porto Centro de Matemática, Portugal

Universidade do Porto Faculdade de Ciências, Portugal
2019/02/04 - 2019/02/08 Holomorphic Differentials in Mathematics and Physics
Conference
 Holomorphic Differentials in Mathematics and Physics,
Simons Centre for Geometry and Physics, United States
2018/12/17 - 2018/12/21 Current Trends in Hitchin Systems
Conference
 Current Trends in Hitchin Systems
Universidad de Buenos Aires Departamento de Matemática, Argentina
2018/11/12 - 2018/11/16 School and Workshop on New Trends in Higgs Bundle Theory
Workshop
 School and Workshop on New Trends in Higgs Bundle Theory
Instituto de Ciencias Matemáticas, Spain
2018/06/18 - 2018/06/22 Vector Bundles on Algebraic Curves 2018 – Gauge Theory and Complex Geometry
Conference
 Vector Bundles on Algebraic Curves 2018 – Gauge Theory and Complex Geometry
Centre International de Rencontres Mathématiques, France
2017/11/06 - 2017/11/08 Workshop / Conference on 80th birthday of S. Ramanan.
Conference
 Workshop / Conference on 80th birthday of S. Ramanan.
Instituto de Ciencias Matemáticas, Spain
2017/05/05 - 2017/05/07 Geometry and Physics of Augmented Bundles, A celebration of Steve Bradlow’s 60th birthday
Conference
 Geometry and Physics of Augmented Bundles, A celebration of Steve Bradlow’s 60th birthday, Allerton Center UIUC, Illinois, USA.
University of Illinois at Urbana-Champaign, United States
2017/03/20 - 2017/03/24 Workshop / Conference on Character Varieties and String Theory
Conference
 Workshop / Conference on Character Varieties and String Theory
Indian Institute of Science, India
2016 - 2016 Workshop on Higgs bundles and Hitchin system – VBAC2016
Conference
 Workshop on Higgs bundles and Hitchin system – VBAC2016
2016 - 2016 Workshop New perspectives on Higgs bundles, branes and quantization
Workshop
 Workshop New perspectives on Higgs bundles, branes and quantization
Simons Centre for Geometry and Physics, United States
2016 - 2016 Conference Hitchin 70: Celebrating 30 years of Higgs bundles and 15 years of generalized geometry
Conference
 Conference Hitchin 70: Celebrating 30 years of Higgs bundles and 15 years of generalized geometry
2015 - 2015 Workshop on Higgs Bundles and Character Varieties
Workshop
 Workshop on Higgs Bundles and Character Varieties
CMUP, SPM, GEAR, Portugal
2015 - 2015 AMS-EMS-SPM International Meeting 2015
Conference
 AMS-EMS-SPM International Meeting 2015
AMS, EMS, SPM, Portugal
2015 - 2015 School and International Conference on Geometry and Quantization – GEOQUANT 2015
Conference
 School and International Conference on Geometry and Quantization – GEOQUANT 2015
2015 - 2015 Conference on the Fifty Years of the Narasimhan-Seshadri Theorem
Conference
 Conference on the Fifty Years of the Narasimhan-Seshadri Theorem
2014 - 2014 Workshop on the Geometry and Physics of Moduli Spaces, Miraflores de la Sierra, Madrid, Spain, 16-20 June 2014.
Workshop
 Workshop on the Geometry and Physics of Moduli Spaces
Instituto de Ciencias Matemáticas, Spain
2014 - 2014 Workshop on the Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles – Institute of Mathematical Sciences, Singapore, 13 July to 1 August 2014.
Conference
 Workshop on the Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles
Institute of Mathematical Sciences, National University of Singapore, Singapore
2013 - 2013 Topology of moduli spaces and representations, Miraflores, Madrid, 11-15 March 2013.
Workshop
 Topology of moduli spaces and representations
Nigel Hitchin Laboratory - ICMAT, Spain
2013 - 2013 Higgs bundles and the pressure metric
Conference
 Higgs bundles and the pressure metric
Centre for Quantum Geometry and Moduli Spaces (QGM), Denmark
2012 - 2012 Workshop on Moduli spaces of representations
Workshop
 Workshop on Moduli spaces of representations
2011 - 2011 Representations of Surface Groups and Higgs Bundles
Conference
2011 - 2011 Semester on Moduli Spaces
Meeting
2011 - 2011 VBAC 2011 - Closing Conference of the semester on Moduli Spaces
Conference
2010 - 2010 Coimbra Salamanca Algebraic Geometry Seminar I
Meeting
2010 - 2010 5th Algebraic Geometry Course - Compactifications of Jacobians of singular curves
Conference
2010 - 2010 Second International School on Geometry and Physics Geometric Langlands and Gauge Theory
Conference
2010 - 2010 XVIII GAeL - Géométrie Algebrique en Liberté
Conference
2010 - 2010 VBAC 2010 - New Invariants and Stability Conditions
Conference
2010 - 2010 ENSPM2010 - Encontro Nacional da Sociedade Portuguesa de Matemática
Meeting
2010 - 2010 European Workshop of Young Researchers in Mathematics
Conference
2010 - 2010 Coimbra Salamanca Algebraic Geometry Seminar II
Conference
2010 - 2010 Encontro do Projecto ``Geometria Algébrica''
Meeting
2009 - 2009 Differential Geometric Methods in Algebraic Geometry
Conference
2009 - 2009 VBAC 2009 - Derived Categories and the Langlands Programme
Conference
2008 - 2008 International School on Geometry and Physics - Moduli spaces in Geometry, Topology and Physics
Conference
2008 - 2008 VBAC 2008 - Conference on vector bundles in honour of S. Ramanan (on the occasion of his 70th birthday)
Conference
2008 - 2008 Gauge Theory and the Geometric Langlands Program - Summer Lectures in Geometry
Meeting
2007 - 2007 Tarde SPM /CIM em Topologia Algébrica
Meeting
2006 - 2006 Mathematics for Peace and Development
Conference
2006 - 2006 Geometry Conference in Honour of Nigel Hitchin
Conference
2005 - 2005 Conference on Bounded Cohomology, Harmonic Maps and Higgs Bundles
Conference
2005 - 2005 VBAC 2005 - Workshop on the Topology of Hyperkähler Manifolds
Conference
2004 - 2004 Degeneration Techniques in Algebraic Geometry
Meeting
2003 - 2003 4th IST Lecture Series in Algebraic Geometry & Physics
Meeting
2003 - 2003 VBAC 2003 - Euroconference: Workshop on Vector Bundles on Algebraic Curves - Topology and Moduli Spaces
Conference
2003 - 2003 LMS/EPSRC Short Course - Topics in Algebraic Geometry
Meeting

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2023/07/10 Higgs bundles and the Hitchin system
Supervisor
 Rodrigo Pereira (Master)
Universidade do Porto Faculdade de Ciências, Portugal
2022/07/14 Metrics on ¿at bundles
Supervisor
 Gabriel Martinho (Master)
Universidade do Porto Faculdade de Ciências, Portugal
2021/11/26 Geometry and Topology of Generalized Polygon Spaces
(Thesis) Main arguer
 Carlos Sotillo (PhD)
Universidade de Lisboa Faculdade de Ciências, Portugal
2021/07/28 Derived categories of coherent sheaves and integral functors
(Thesis) Main arguer
 João Ruano (Master)
Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal
2020/09 Smoothing and interpolation on the essential manifold
(Thesis) Arguer
 Maria de Fátima Alves de Pina (PhD)
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
2020/06 The Norm map on the compactified Jacobian, the Prym stack and Spectral data for G-Higgs pairs
(Thesis) Main arguer
 Raffaele Marco Carbone (PhD)
Università degli Studi Roma Tre Dipartimento di Matematica e Fisica, Italy
2018/10/26 Automorphism group of the moduli space of parabolic vector bundles over a curve
(Thesis) Main arguer
 David Alfaya (PhD)
Universidad Autónoma de Madrid, Spain

Instituto de Ciencias Matemáticas, Spain
2018/07/27 Automorphisms of Higgs bundle moduli spaces for real groups
(Thesis) Main arguer
 Manuel Pérez García (PhD)
Universidad Autónoma de Madrid, Spain

Instituto de Ciencias Matemáticas, Spain
2015 Homotopy Groups of the Moduli Space of Higgs Bundles
(Thesis) Main arguer
 Ronald Zúñiga-Rojas (PhD)
Universidade do Porto, Portugal
2014 Schottky principal G-bundles over compact Riemann surfaces
(Thesis) Main arguer
 Susana Ferreira (PhD)
Universidade Nova de Lisboa, Portugal
2013 Segurança Matemática - Código RSA
(Thesis) Main arguer
 Rosa Sarmento (Master)
Universidade Lusíada de Lisboa, Portugal

Association member

Society Organization name Role
2000/01 - Current Sociedade Portuguesa de Matemática - SPM
2013/01 - 2016/01 American Mathematical Society -- AMS
2011/05 - 2016/01 European Mathematical Society - EMS

Committee member

Activity description
Role 		Institution / Organization
2024/01/01 - Current Membro da Comissão Científica do Encontro Nacional da Sociedade Portuguesa de Matemática 2024
Member

Conference scientific committee

Conference name Conference host
2019/06/03 - 2019/06/07 Algebraic Analysis and Geometry with a view on Higgs bundles and D-modules Faculdade de Ciências da Universidade do Porto

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2008/12 - Current Álgebra Linear Matemática (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
2008/12 - Current Análise Complexa Matemática (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
2008/12 - Current Análise Matemática I Matemática (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
2008/12 - Current Análise Matemática II Matemática (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
2008/12 - Current Álgebra Linear Matemática (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
2008/12 - Current Matemática I Matemática (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
2022/03/02 - 2022/06/09 Grupos e Álgebras de Lie Matemática
2021/10/04 - 2022/01/14 Seminário Doutoramento em Matemática Universidade do Porto Faculdade de Ciências, Portugal
2020/02/10 - 2020/05/31 Differentiable Manifolds Matemática (Mestrado integrado) Universidade do Porto Faculdade de Ciências, Portugal
2015 - 2015 “Introduction to Topology” – 1 hour lecture for high school students, introducing facts about topology, included in the school “Geometry and Relativity Theory” Extensão e divulgação científica (Curso médio) Universidade do Minho, Portugal
2009 - 2009 Donuts e chávenas de café Extensão e divulgação científica (Curso médio) Universidade de Trás-os-Montes e Alto Douro Centro de Matemática, Portugal
2002/04 - 2005/07 Elementos de Topologia (Outros) Universidade de Trás-os-Montes e Alto Douro, Portugal
2002/04 - 2005/07 Geometria Diferencial (Outros) Universidade de Trás-os-Montes e Alto Douro, Portugal
2002/04 - 2005/07 Geometria (Outros) Universidade de Trás-os-Montes e Alto Douro, Portugal
2002/04 - 2005/07 Geometria Euclidiana (Outros) Universidade de Trás-os-Montes e Alto Douro, Portugal
2002/04 - 2005/07 Teoria de Números (Outros) Universidade de Trás-os-Montes e Alto Douro, Portugal
2002/04 - 2005/07 Álgebra Linear (Outros) Universidade de Trás-os-Montes e Alto Douro, Portugal
1999/10 - 2002/04 Análise Matemática I Matemática (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
1999/10 - 2002/04 Análise Matemática II Matemática (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
1999/10 - 2002/04 Métodos Numéricos Matemática (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
1999/10 - 2002/04 Álgebra Linear I Matemática (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
1999/10 - 2002/04 Álgebra Linear II Matemática (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
1999/10 - 2002/04 Elementos de Topologia Matemática (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
1999/10 - 2002/04 Análise Infinitesimal I Matemática (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal

Journal scientific committee

Journal title (ISSN) Publisher
2023/03/08 - Current Revista Matematica Complutense (1988-2807) Springer-Verlag
2023/04 - 2023/07 International Journal of Mathematics
2022/12/25 - 2023/02/05 Bulletin of the Iranian Mathematical Society (1735-8515)
2022/12/01 - 2022/12/31 Forum Mathematicum (1435-5337)
2021/07/01 - 2021/11/30 Épijournal de Géométrie Algébrique (2491-6765)
2021/02 - 2021/05 International Journal of Mathematics (0129-167X ) World Scientific
2021/01 - 2021/04 Hokkaido Journal of Mathematics (0385-4035) Department of Mathematics, Hokkaido University
2021/02/25 - 2021/03/30 Letters in Mathematical Physics (0377-9017)
2021/01 - 2021/01 Asian Journal of Mathematics (1093-6106) International Press
2020/03 - 2020/09 Advances in Mathematics (1090-2082) Elsevier
2019/11 - 2020/02 Rocky Mountain Journal of Mathematics (0035-7596) Rocky Mountain Mathematics Consortium
2019 - 2019 Communications in Analysis and Geometry (1944-9992) "International Press of Boston, Inc."
2019 - 2019 Gazeta de Matemática (0373-2681) Sociedade Portuguesa de Matemática
2018 - 2018 Symmetry Integrability and Geometry Methods and Applications (1815-0659) SIGMA
2018 - 2018 Mediterranean Journal of Mathematics (1660-5454) Springer-Verlag
2017 - 2017 Revista Colombiana de Matemáticas (2357-4100) Universidad Nacional de Colombia
2017 - 2017 Mathematical Physics Analysis and Geometry (1572-9656) Springer-Verlag
Distinctions

Other distinction

2019 Visiting Fellowship, to visit the Mathematical Sciences Research Institute (Berkeley), USA, from 11 to 23 of November 2019.
National Science Foundation Division of Mathematical Sciences, United States
2018 Visiting Fellowship, to visit the University of Maryland in October of 2018. From the Geometric Structures and Representation Varieties (GEAR) network, USA.
National Science Foundation Division of Mathematical Sciences, United States
2016 Visiting Fellowship, to visit the Simons Centre for Geometry and Physiscs (Stony Brook, NY) and to attend Workshop on New perspectives on Higgs bundles, branes and quantization from 13 to 17 of June 2016.
2014 Visiting Fellowship, to visit the Instituto de Ciencias Matematicas (ICMAT), Madrid, Spain
2014 Visiting Fellowship, to visit the Institute for Mathematical Sciences (IMS), National University of Singapore, Singapore.
2014 Postdoctoral fellowship -- SFRH/BPD/100996/2014
Fundação para a Ciência e a Tecnologia, Portugal
2013 Visiting Fellowship, to visit the University of Illinois at Urbana-Champaign, USA.
2012 Visiting Fellowship, to visit the Centre Recerca Matematica (CRM), Universidad Autonoma de Barcelona, Spain.
2011 Visiting Fellowship, to visit the Isaac Newton Institute, Cambridge University
2009 Scientific Community Support Fund grant to fund the travel expenses to participate in conference “Differential Geometric Methods in Algebraic Geometry”, Tata Institute of Fundamental Research, Mumbai
Fundação para a Ciência e a Tecnologia, Portugal
2006 Doctoral fellowship -- SFRH/BD/23334/2005.
Fundação para a Ciência e a Tecnologia, Portugal