Curriculum Vitae
André Gama Oliveira
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
- https://sites.google.com/view/aoliveira (Scholar)
- https://arxiv.org/a/oliveira_a_1.html (Scholar)
- https://scholar.google.pt/citations?user=5RCK1mkAAAAJ&hl=en (Scholar)
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 | 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
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
|
| 2021/01/01 - 2025/12/31 | LASI - 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
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
|
| 2019/01/01 - 2019/12/31 | Centro de Matemática da Universidade do 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
Researcher
|
Fundação para a Ciência e a Tecnologia, I.P. |
| 2012 - 2019 | GEAR Network -- GEAR (Geometric Structures and Representation Varieties) Network
Researcher
Universidade do Porto, Portugal
|
National Science Foundation - Directorate for Mathematical & Physical Sciences
Ongoing
|
| 2013 - 2017 | Moduli Spaces and Geometric Structures
MTM2013-43963-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 | Fundação para a Ciência e a Tecnologia, I.P. |
| 2013/07 - 2015/07 | Portuguese Algebraic Geometry Community
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 | Fundação para a Ciência e a Tecnologia, I.P. |
| 2010/03 - 2013/09 | Topological Invariants via Differential Geometry | 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 | 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 | 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 | Fundação para a Ciência e a Tecnologia, I.P. |
Outputs
Publications
| Journal article |
|
| Newsletter article |
|
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
|