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I am a Junior Reseacher at CMUC - the Centre for Mathematics of the University of Coimbra since 2020. I completed my PhD degree in Mathematics at the Utrecht University (2016) under the supervision of Marius Crainic, after which I was a postdoc at CMUC (Coimbra), MPIM (Bonn) and IME-USP (São Paulo). Research topics: Poisson geometry, Lie groupoids, deformation theory, foliations, differentiable stacks, Cartan geometry.
Identification

Personal identification

Full name
João Nuno Mestre Fernandes da Silva

Citation names

  • Mestre, João Nuno

Author identifiers

Ciência ID
2310-7515-B08B
ORCID iD
0000-0003-1217-9872
Google Scholar ID
uFbdqb0AAAAJ

Email addresses

  • jnmestre@gmail.com (Professional)

Addresses

  • Centro de Matemática da Universidade de Coimbra, Largo D. Dinis, 3000-143, Coimbra, Coimbra, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
English Advanced (C1) Proficiency (C2) Proficiency (C2) Proficiency (C2)
Portuguese Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
French Intermediate (B1) Upper intermediate (B2) Beginner (A1) Intermediate (B1)
German Elementary (A2) Intermediate (B1) Elementary (A2) Elementary (A2)
Education
Degree Classification
2016/02/17
Concluded
PhD (Doutoramento)
Universiteit Utrecht, Netherlands
"Differentiable stacks: stratifications, measures and deformations" (THESIS/DISSERTATION)
2010
Concluded
Master's Degree in Mathematics (Mestrado)
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
"Generalized complex and Poisson quasi-Nijenhuis geometries and their submanifolds." (THESIS/DISSERTATION)
18
2007
Concluded
B.S. in Mathematics (Licenciatura)
Universidade de Coimbra, Portugal
17
Affiliation

Science

Category
Host institution
Employer
2020/01/01 - Current Researcher (Research) Universidade de Coimbra Centro de Matemática, Portugal
2020/10/01 - 2020/12/31 Postdoc (Research) Fundação de Amparo à Pesquisa do Estado de São Paulo, Brazil
Universidade de São Paulo, Brazil
2017/09/08 - 2019/08/31 Postdoc (Research) Max-Planck-Institut für Mathematik, Germany
2016/09/01 - 2017/08/31 Postdoc (Research) Universidade de Coimbra Centro de Matemática, Portugal

Teaching in Higher Education

Category
Host institution
Employer
2009/09/01 - 2010/09/01 Tutor (University Teacher) Universidade de Coimbra Departamento de Matemática, Portugal
Projects

Grant

Designation Funders
2024/03/05 - 2024/03/09 Deformations of complex Lie groupoids
ITC Conference Grant Fellow
Julius-Maximilians-Universität Würzburg, Germany
European Cooperation in Science and Technology
Ongoing
2023/09/27 - 2023/10/14 Homotopy inverse of the van Est map for representations up to homotopy
Short Term Scientific Mission Fellow
Radboud Universiteit Nijmegen Onderzoekinstituut voor Wiskunde Sterrenkunde en Deeltjes Fysica, Netherlands
European Cooperation in Science and Technology
Concluded
2020/10/01 - 2020/12/31 Deformações de estruturas geométricas e grupóides de Lie
2019/20789-4
Post-doc Fellow
Universidade de São Paulo, Brazil
Fundação de Amparo à Pesquisa do Estado de São Paulo
Concluded
2010/10/01 - 2014/09/30 POISSON GEOMETRY
SFRH/BD/71257/2010
PhD Student Fellow
Universiteit Utrecht, Netherlands
Fundação para a Ciência e a Tecnologia
Concluded

Contract

Designation Funders
2019/01/01 - 2019/12/31 Centro de Matemática da Universidade de Coimbra
UID/MAT/00324/2019
Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded

Other

Designation Funders
2023/11/27 - 2026/10/13 Cartan geometry, Lie, Integrable Systems, quantum group Theories for Applications (CaLISTA)
Researcher
European Cooperation in Science and Technology
Ongoing
Outputs

Publications

Book chapter
  1. Mestre, João Nuno. "O princípio do camelo simpléctico". In Números, Cirurgias e Nós de Gravata 10 Anos de Seminário Diagonal no IST. 2012.
Journal article
  1. Mestre, João Nuno; Weilandt, Martin. "Suborbifolds and groupoid embeddings". North-Western European Journal of Mathematics 6 (2020): 1-18. http://math.univ-lille1.fr/~nwejm/OnlinePapers/Archives/2020/6/1/article2020-1.pdf.
    Open access • In press
  2. Crainic, Marius; Mestre, João Nuno; Mestre, João Nuno. "Measures on differentiable stacks". Journal of Noncommutative Geometry 13 4 (2020): 1235-1294. http://dx.doi.org/10.4171/jncg/362.
    In press • 10.4171/jncg/362
  3. Crainic, Marius; Mestre, João Nuno; Struchiner, Ivan. "Deformations of Lie Groupoids". International Mathematics Research Notices 2020 21 (2018): 7662-7746. http://dx.doi.org/10.1093/imrn/rny221.
    In press • 10.1093/imrn/rny221
  4. Crainic, Marius; Mestre, João Nuno. "Orbispaces as differentiable stratified spaces". Letters in Mathematical Physics 108 3 (2017): 805-859. http://dx.doi.org/10.1007/s11005-017-1011-6.
    Open access • In press • 10.1007/s11005-017-1011-6
Preprint
  1. Mestre, João Nuno; Cárdenas, Cristian; Struchiner, Ivan. "Deformations of symplectic groupoids". 2021.
  2. Crainic, Marius; Mestre, João Nuno. "The transverse density bundle and modular classes of Lie groupoids". 2020.
Thesis / Dissertation
  1. Mestre, João Nuno. "Differentiable stacks: stratifications, measures and deformations". PhD, Universiteit Utrecht, 2016.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2024/03/06 Deformations of complex Lie groupoids 59th Sophus Lie Seminar
Julius-Maximilians Universität Würzburg (Würzburg, Germany)
2024/02/09 Deformations of complex Lie groupoids Geometry Day
Instituto Superior Técnico (Lisbon, Portugal)
2023/10/26 Deformations of holomorphic groupoids Dias de Geometria, Topologia e Aplicações
Centre of Mathematics - University of Minho (Braga, Portugal)
2023/10/03 Deformations of holomorphic groupoids Geometry Seminar
Radboud University Nijmegen (Nijmegen, Netherlands)
2023/07/10 Crash course on Lie algebroids [3 hours mini-course] Lie groupoid and algebroid week in Coimbra II
Centre for Mathematics, University of Coimbra (Coimbra, Portugal)
2023/06/16 Deformations of holomorphic groupoids Geometry and Topology Seminar
Centre for Mathematics of the University of Porto (Porto, Portugal)
2023/02/28 What are Lie algebroids and Lie algebroid connections? Informal Geometry Seminar
Centre for Mathematics of the University of Coimbra (Coimbra, Portugal)
2023/02/22 Transverse densities and modular classes of Lie groupoids Geometry Seminar
Centre for Mathematics of the University of Coimbra (Coimbra, Portugal)
2022/09/27 Deformations of Lie groupoids [4 hours mini-course] Lie groupoid week in Coimbra
Centre for Mathematics, University of Coimbra (Coimbra, Portugal)
2022/09/26 Crash course on Lie groupoids [3 hours mini-course] Lie groupoid week in Coimbra
Centre for Mathematics, University of Coimbra (Coimbra, Portugal)
2022/08/16 Deformations of symplectic and holomorphic groupoids Thematic Session of Encontro Conjunto Brasil-Portugal em Matemática
Universidade Federal da Bahia (Salvador, Brazil)
2022/08/03 Deformations of Lie groupoids Congreso de Matemática Capricornio
Universidad Arturo Prat (Iquique, Chile)
2022/05/16 Deformations of Lie groupoids Deformation Theory Seminar
University of Pennsylvania (Philadelphia, United States)
2022/05/05 Lie groupoid deformations, rigidity, and normal forms One day Workshop in Differential Geometry
University of Aveiro (Aveiro, Portugal)
2022/05/04 Deformations of Lie groupoids Topology Seminar
Purdue University (West Lafayette, United States)
2022/04/22 Espaços de alta dimensão como união de espaços menores - folheações e estabilidade Encontro Nacional de Estudantes de Matemática - ENEMath 2022
NEMAT/AAC - Núcleo de Estudantes de Matemática Associação Académica de Coimbra (Coimbra, Portugal)
2022/01/11 Deformations of symplectic groupoids Lie Theory and Poisson Geometry
Centre International de Rencontres Mathématiques (Luminy, France)
2021/06/24 Algumas abordagens à geometria diferencial de espaços singulares Seminário A5
University of São Paulo (São Paulo, Brazil)
2021/05/06 Deformations of symplectic groupoids Seminar on Geometry and Mathematical Physics
Universidad Católica del Norte and University of São Paulo (Antofagasta, Chile)
2021/04/01 What is a Lie groupoid and how do we use one in a theorem? Methusalem Junior Seminar Pure Mathematics
KU Leuven (Leuven, Belgium)
2021/03/30 The deformation cohomology of symplectic groupoids Seminário Simplético do Rio
IMPA, PUC-RJ, UFF e UFRJ (Rio de Janeiro, Brazil)
2021/03/12 Some approaches to the differential geometry of singular spaces Deformation Quantization Seminar
University of Würzburg (Würzburg, Germany)
2021/02/19 The deformation cohomology of a symplectic groupoid Friday Fish Seminar
Utrecht University (Utrecht, Netherlands)
2021/02/17 The deformation cohomology of a symplectic groupoid Geometry Seminar
Centre for Mathematics of the University of Coimbra (Coimbra, Portugal)
2019/10/18 Deformations of Lie groupoids Geometry and Topology Seminar
Centre for Mathematics of the University of Porto (Porto, Portugal)
2019/06/25 Transverse measures and densities for Lie groupoids Oberseminar Global Analysis and Operator Algebras
Mathematical Institute of the University of Bonn (Bonn, Germany)
2019/04/26 What is a Lie groupoid? "What is...?" Seminar
Max Planck Institute for Mathematics (Bonn, Germany)
2019/03/26 Deformations of symplectic groupoids Geometry Seminar
University of Salerno (Fisciano, Italy)
2019/03/13 Deformations of symplectic groupoids Seminar
Göttingen Mathematisches Institut (Göttingen, Germany)
2018/12/18 Lie groupoids and index theory - a brief outline Dynamics, Geometry and Interactions on Tuesdays
Max Planck Institute for Mathematics (Bonn, Germany)
2018/12/12 Deformations of symplectic groupoids Poisson aan de Waal
Radboud University Nijmegen (Nijmegen, Netherlands)
2018/11/22 Relating dgLa and cdga: C* and its adjoint Learning seminar on deformation theory
Max Planck Institute for Mathematics (Bonn, Germany)
2018/11/09 Deformations of Lie groupoids Geometry Seminar
KU Leuven (Leuven, Belgium)
2018/10/25 Deformation functors - a modern approach Learning seminar on deformation theory
Max Planck Institute for Mathematics (Bonn, Germany)
2018/06/19 Deformations of Lie groupoids Geometry Seminar
Radboud University Nijmegen (Nijmegen, Netherlands)
2018/05/18 BRST Cohomology Learning seminar on quantum field theory and BV formalism
Max Planck Institute for Mathematics (Bonn, Germany)
2017/10/25 Deformations of Lie groupoids Higher Differential Geometry Seminar
Max Planck Institute for Mathematics (Bonn, Germany)
2017/09/06 Deformations of symplectic groupoids XXVI International Fall Workshop on Geometry and Physics
Universidade do Minho (Braga, Portugal)
2017/05/07 Measures on differentiable stacks Gone Fishing 2017
Notre Dame University (Notre Dame, United States)
2017/04/17 Transverse measures and densities on Lie groupoids Geometric Structures on Lie Groupoids
Banff International Research Station (Banff, Canada)
2017/02/10 The deformation cohomology of a Lie groupoid and applications to rigidity Geometry Seminar
Centre for Mathematics of the University of Coimbra (Coimbra, Portugal)
2016/10/26 Transverse measures and densities for Lie groupoids Geometry Seminar
Centre for Mathematics of the University of Coimbra (Coimbra, Portugal)
2016/03/11 Deformations of Lie groupoids Gone Fishing 2016
University of Colorado Boulder (Boulder, United States)
2016/03/09 Measures and densities on differentiable stacks Poisson geometry seminar
University of Colorado Boulder (Boulder, United States)
2016/01/29 Measures and densities on differentiable stacks Geometry seminar
KU Leuven (Leuven, Belgium)
2015/11/19 Transverse measures and densities: from leaf spaces to differentiable stacks IME - USP Geometry Seminar
University of São Paulo, Institute of Mathematics and Statistics (São Paulo, Brazil)
2015/11/05 Measures and densities on differentiable stacks Poisson seminar
IMPA (Rio de Janeiro, Brazil)
2015/09/25 Measures and volumes for differentiable stacks Higher Geometric Structures along the Lower Rhine VI
Utrecht University (Utrecht, Netherlands)
2013/12/06 Orbit types and Morita types Friday Fish Seminar
Utrecht University (Utrecht, Netherlands)
2013/11/29 On stratified spaces Friday Fish Seminar
Utrecht University (Utrecht, Netherlands)
2013/10/15 Deformations of Lie groupoids Mathematical Physics Seminar
IMPA (Rio de Janeiro, Brazil)
2013/10/07 Rigidity of compact Lie groupoids Unicamp Geometry Seminar
State University of Campinas (Campinas, Brazil)
2013/10/04 Moser deformation argument for Lie groupoids Genet-Roussel Seminar
University of São Paulo, Institute of Mathematics and Computer Sciences (São Carlos, Brazil)
2013/09/27 Principal type theorem for proper Lie groupoids IME - USP: Geometry Seminar
University of São Paulo, Institute of Mathematics and Statistics (São Paulo, Brazil)
2013/09/13 The orbit space of a proper Lie groupoid Colloquium
University of São Paulo, Department of Applied Mathematics (São Paulo, Brazil)

Supervision

Thesis Title
Role
Degree Subject (Type)
Institution / Organization
2021/11/01 - Current Deformations of morphisms of Lie groupoids and differentiable stacks
Supervisor of Sebastián Daza
Mathematics (PhD)
Universidade de Coimbra Centro de Matemática, Portugal
2021/11/01 - Current Normal forms for Lie groupoids and Lie algebroids
Co-supervisor of Lennart Obster
UC | UP PhD program in Mathematics (PhD)
Universidade de Coimbra Centro de Matemática, Portugal

Event organisation

Event name
Type of event (Role)
Institution / Organization
2023/08/02 - Current Dias da Geometria [Itinerant Meetings] (2024/02/09)
Meeting (Member of the Organising Committee)
Universidade de Lisboa Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal

Universidade de Coimbra Centro de Matemática, Portugal

Universidade do Porto Centro de Matemática, Portugal

Universidade do Minho Centro de Matemática, Portugal
2023/02/28 - Current “Informal Geometry Seminar” series (2023/02/28)
Seminar (Co-organisor)
Universidade de Coimbra Centro de Matemática, Portugal
2023/11/04 - 2024/09/05 XXXII International Fall Workshop on Geometry and Physics (2024/09/02 - 2024/09/05)
Workshop (Member of the Organising Committee)
Universidade de Coimbra Centro de Matemática, Portugal
2023/02/17 - 2023/07/14 Lie groupoid and algebroid week in Coimbra II (2023/07/10 - 2023/07/14)
Workshop (Co-organisor)
Universidade de Coimbra Centro de Matemática, Portugal
2023/02/13 - 2023/06/15 Symplectic geometry 2023/2024 [semester-long course for PhD students} (2023/02/13 - 2023/06/15)
Other (Co-organisor)
Universidade de Coimbra Departamento de Matemática, Portugal
2023/02/17 - 2023/03/24 Mini-course on Nash-Moser techniques in geometry, with applications to normal forms (2023/03/21 - 2023/03/24)
Workshop (Co-organisor)
Universidade de Coimbra Centro de Matemática, Portugal
2023/01/05 - 2023/03/15 One day workshop in Geometry and Topology (2023/03/15 - 2023/03/15)
Workshop (Co-organisor)
Universidade de Coimbra Centro de Matemática, Portugal
2022/08/04 - 2022/09/30 Lie groupoid week in Coimbra (2022/09/26 - 2022/09/30)
Workshop (Co-organisor)
Universidade de Coimbra Centro de Matemática, Portugal
2018/08 - 2018/12 Learning seminar on deformation theory (covering Lurie, Formal Moduli Problems) (2018/10/11 - 2018/12/20)
Seminar (Co-organisor)
Max-Planck-Institut für Mathematik, Germany
2011 - 2012 Poisson 2012: Poisson geometry in Mathematics and Physics (2012/07/23 - 2012/08/03)
Conference (Member of the Organising Committee)
Universiteit Utrecht, Netherlands

Event participation

Activity description
Type of event
Event name
Institution / Organization
2023/06/21 - 2023/07/14 E-learning course (15 hours)
Other
Equal.STEAM: Gender Dimension in Teaching, Research and Supervision
Universidade de Coimbra, Portugal
2022/06/20 - 2022/06/24 Intensive training on PhD supervision excellence (5 days)
Workshop
First PhD Supervision Excellence Training for Academic Staff
Univerzita Karlova, Czech Republic

Jury of academic degree

Topic
Role
Candidate name (Type of degree)
Institution / Organization
2023/07/19 On the Local Structure of Poisson Manifolds
(Thesis) Main arguer
Rodrigo de Oliveira Baptista (Master)
Universidade do Porto Departamento de Matemática, Portugal
2023/07/04 Mean-value property for functions on the Heisenberg group
(Thesis) Main arguer
Miguel Nuno Pereira Santiago (Master)
Universidade de Aveiro Departamento de Matemática, Portugal
2021/09/03 G-structures on Orbifolds
(Thesis) Arguer
Sebastián Camilo Daza Alfonso (Master)
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil

Committee member

Activity description
Role
Institution / Organization
2016 - 2017 Problem Committee of the Portuguese Mathematical Olympiads
Member
Sociedade Portuguesa de Matemática, Portugal

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2023/10/06 - 2024/02/05 Differentiable Manifolds UC | UP PhD program in Mathematics (Doutoramento) Universidade do Porto Departamento de Matemática, Portugal
2023/11/19 - 2023/11/19 Mathematical Induction [Olympiad problem-solving class for high school students] Delfos School Universidade de Coimbra Departamento de Matemática, Portugal
2023/05/13 - 2023/06/10 Complex Numbers and Geometry [3 sessions of theory and olympiad problem-solving for high school students] Delfos School Universidade de Coimbra Departamento de Matemática, Portugal
2023/02/11 - 2023/02/11 The Basel problem [Theory and olympiad problem-solving class for high school students] Delfos School Universidade de Coimbra Departamento de Matemática, Portugal
2022/10/03 - 2023/01/09 Differentiable manifolds UC | UP PhD program in Mathematics (Doutoramento) Universidade de Coimbra Departamento de Matemática, Portugal
2022/01/22 - 2022/07/01 Trigonometry [3 sessions of theory and olympiad problem-solving for high school students] Delfos School Universidade de Coimbra Departamento de Matemática, Portugal
2021/08/17 - 2021/12/17 Topology of Manifolds Graduate Program in Mathematics (Masters and PhD) (Graduado) Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2016 - 2017 Problem-solving training for the Portuguese teams participating in international mathematics competitions. Delfos School Universidade de Coimbra, Portugal
Distinctions

Award

2006 Merit award
Universidade de Coimbra, Portugal
2006 Prize for the 3% best students of Mathematics
Universidade de Coimbra, Portugal
2005 Prize for the 3% best students of Mathematics
Universidade de Coimbra, Portugal

Other distinction

2004 Honourable Mention, Ibero-American Mathematical Olympiad
2004 Silver medal, Portuguese Mathematical Olympiads
Sociedade Portuguesa de Matemática, Portugal
2001 Bronze medal, Portuguese Mathematical Olympiads
Sociedade Portuguesa de Matemática, Portugal