Identification
Personal identification
- Full name
- Miguel Abreu
Citation names
- Abreu, Miguel
Author identifiers
- Ciência ID
- 4A17-4F79-D62C
- ORCID iD
- 0000-0002-3137-0720
Knowledge fields
- Exact Sciences - Mathematics
Languages
Language | Speaking | Reading | Writing | Listening | Peer-review |
---|---|---|---|---|---|
Portuguese | Advanced (C1) | Advanced (C1) | Advanced (C1) | Advanced (C1) | |
English | Advanced (C1) | Advanced (C1) | Advanced (C1) | Advanced (C1) | |
French | Beginner (A1) | Intermediate (B1) | Beginner (A1) | Beginner (A1) |
Education
Degree | Classification | |
---|---|---|
2008
Concluded
|
Mathematics (Título de Agregado)
Universidade de Lisboa Instituto Superior Técnico, Portugal
"A Personal Tour Through Symplectic Geometry and Topology" (THESIS/DISSERTATION)
|
------------------ |
1996
Concluded
|
PhD in Mathematics (Doutoramento)
Stanford University, United States
"Topology of Symplectomorphism Groups of $S^{2}\times S^{2}$" (THESIS/DISSERTATION)
|
------------------- |
1992
Concluded
|
Mathematics (Mestrado)
Stanford University, United States
"--------------" (THESIS/DISSERTATION)
|
--------- |
1990
Concluded
|
Licenciatura em Matemática Aplicada e Computação (Licenciatura)
Universidade de Lisboa Instituto Superior Técnico, Portugal
"Modelação e Controle de uma Estrutura Mecânica Flexível" (THESIS/DISSERTATION)
|
17 valores |
Affiliation
Teaching in Higher Education
Category Host institution |
Employer | |
---|---|---|
2011/01/01 - Current | Full Professor (University Teacher) | Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal |
2004 - 2010 | Associate Professor (University Teacher) | Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal |
1997 - 2004 | Assistant Professor (University Teacher) | Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal |
1990 - 1991 | Assistant (University Teacher) | Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal |
Others
Category Host institution |
Employer | |
---|---|---|
2024/01/08 - 2024/02/02 | Visiting Professor | Instituto Nacional de Matemática Pura e Aplicada, Brazil |
Instituto Nacional de Matemática Pura e Aplicada, Brazil | ||
2023/09/02 - 2023/09/30 | Visiting Professor | University of Illinois Urbana-Champaign, United States |
University of Illinois Urbana-Champaign, United States | ||
2023/05/21 - 2023/07/02 | Visiting Professor | Eidgenössische Technische Hochschule Zürich, Switzerland |
Eidgenössische Technische Hochschule Zürich, Switzerland | ||
2016/01 - 2016/04 | Visiting Professor | Universidade Federal do Rio de Janeiro, Brazil |
2015/09 - 2015/12 | Visiting Professor | Institute Mittag-Leffler, Sweden |
2000/09 - 2001/06 | Marsden postdoctoral fellow | Fields Institute for Research in Mathematical Sciences, Canada |
1996/09 - 1997/06 | School of Mathematics post-doctoral member | Institute for Advanced Study, United States |
1991 - 1996 | Estudante de doutoramento | Stanford University, United States |
Projects
Contract
Designation | Funders | |
---|---|---|
2018/10 - 2022/09 | PTDC/MAT-PUR/29447/2017: Symplectic Geometry and Conservative Dynamics
PTDC/MAT-PUR/29447/2017
Principal investigator
Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
|
Fundação para a Ciência e a Tecnologia
Concluded
|
2016/05/01 - 2020/10/30 | Geometria Riemanniana e Geometria Kähler em Variedades Tóricas
PTDC/MAT-GEO/1608/2014
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
Universidade de Lisboa Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal |
Fundação para a Ciência e a Tecnologia
Concluded
|
2013/05 - 2016/04 | EXCL/MAT-GEO/0222/2012: Geometry and Mathematical-Physics
EXCL/MAT-GEO/0222/2012
Principal investigator
Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
|
Fundação para a Ciência e a Tecnologia
Concluded
|
2012/03 - 2015/06 | PTDC/MAT/117762/2010: Hamiltonian Actions and Integrability in Geometry and Topology
PTDC/MAT/117762/2010
Principal investigator
Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
|
Fundação para a Ciência e a Tecnologia
Concluded
|
2010/02/01 - 2013/01/31 | Symplectic and Related Geometries
PTDC/MAT/098936/2008
Universidade de Lisboa Instituto Superior Técnico, Portugal
|
Fundação para a Ciência e a Tecnologia
Concluded
|
2011/01 - 2012/12 | Cooperação Portugal/Brasil - FCT/CAPES, 4.1.3/CAPES/CPLP: Geometria Simpléctica e Topologia de Poisson
FCT/CAPES, 4.1.3/CAPES/CPLP
Principal investigator
Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
|
Fundação para a Ciência e a Tecnologia
Concluded
|
2005/06/01 - 2007/12/31 | Topologia Simpléctica e Geometrias Afins
POCI/MAT/57888/2004
Universidade de Lisboa Instituto Superior Técnico, Portugal
Universidade de Lisboa Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal |
Fundação para a Ciência e a Tecnologia
Concluded
|
Outputs
Publications
Edited book |
|
Journal article |
|
Activities
Oral presentation
Presentation title | Event name Host (Event location) |
|
---|---|---|
2023/08/15 | Symmetric periodic Reeb orbits on the sphere and contact homology of Lens spaces | Workshop on Conservative Dynamics and Symplectic Geometry,
Instituto de Matemática Pura e Aplicada (IMPA) (Rio de Janeiro, Brazil)
|
2023/05/22 | Contact invariants of Q-Gorenstein toric contact manifolds and the Ehrhart (quasi-)polynomials of their toric diagrams | Symplectic Geometry Seminar
ETH Zurich, Switzerland (Zurich, Switzerland)
|
2021/01/29 | Periodic orbits of Reeb flows on odd dimensional spheres | Colóquio
CMAT, Universidade do Minho (Braga, Portugal)
|
2019/08/05 | Contact invariants of Gorenstein toric contact manifolds, the Ehrhart polynomial and Chen-Ruan cohomology | Workshop on Conservative Dynamics and Symplectic Geometry
IMPA (Rio de Janeiro, Brazil)
|
2018/07/23 | A toric geometry road from Kaehler metrics to contact topology | Conference Modern Trends in Differential Geometry
USP (São Paulo, Brazil)
|
2018/07/01 | Applications of symplectic/contact invariants to conservative dynamics | XXXVII Workshop on Geometric Methods in Physics
(Bialowieza, Poland)
|
2017/08/07 | Contact topology of Gorenstein toric isolated singularities | Workshop on Conservative Dynamics and Symplectic Geometry
IMPA (Rio de Janeiro, Brazil)
|
2017/07/31 | Contact topology of Gorenstein toric isolated singularities | Workshop on Interactions of Symplectic and Algebraic Geometry
University of Warwick (United Kingdom)
|
2017/06/19 | On the mean Euler characteristic of Gorenstein toric contact manifolds | RSME-SMM 2017
(Valladolid, Spain)
|
2016/07/25 | On the mean Euler characteristic of toric contact manifolds | Workshop on Symplectic Geometry and Topology
ICMS (Edimburgo, United Kingdom)
|
2015/08/03 | Multiplicity of periodic orbits for dynamically convex contact forms | Workshop on Conservative Dynamics and Symplectic Geometry
IMPA (Rio de Janeiro, Brazil)
|
2015/07/27 | Kaehler-Sasaki metrics on toric symplectic cones | Trends in Modern Geometry & the 10th Pacific Rim Complex Geometry Conference
Tokyo University (Japan)
|
2015/06/10 | Kaehler-Sasaki metrics on toric symplectic cones | Special Session on Geometric Analysis, AMS-EMS-SPM Joint International Meeting
Universidade do Porto (Portugal)
|
2014/12/04 | Toric constructions of monotone Lagrangian submanifolds in CP^2 and CP^1 x CP^1 | Workshop on Lagrangian Submanifolds and Related Topics
Universidade de Milão (Italy)
|
2013/09/02 | Dynamical convexity and elliptic orbits for Reeb flows | Workshop on Conservative Dynamics and Symplectic Geometry
IMPA (Rio de Janeiro, Brazil)
|
2012/08/06 | Displacing Lagrangian toric fibers by extended probes | Conference on Holomorphic Curves and Low Dimensional Topology
Stanford University (Palo Alto, United States)
|
2012/06/17 | Displacing Lagrangian toric fibers by extended probes | Workshop on Interactions between Algebra and Dynamics in Symplectic Topology
Technion - Israel Institute of Technology (Haifa, Israel)
|
2012/04/15 | (Non-)Displaceable Lagrangian Toric Fibers | Oberwolfach Workshop on Toric Geometry
Mathematisches Forschungsinstitut Oberwolfach (Germany)
|
2011/10/07 | Lagrangian intersections in toric manifolds | EMS-RSME Joint Mathematical Weekend
(Bilbao, Spain)
|
2011/09/12 | Remarks on Lagrangian intersections in toric manifolds | CAST Workshop on Contact and Symplectic Topology, Israeli-Polish Mathematical Meeting
University of Lodz (Poland)
|
2011/08/01 | Remarks on Lagrangian intersections in toric manifolds | Workshop on Conservative Dynamics and Symplectic Geometry
IMPA (Rio de Janeiro, Brazil)
|
2011/03/21 | Existence and uniqueness of complete scalar-flat Kaehler metrics on non-compact toric 4-manifolds | Workshop on Extremal Kaehler Metrics
Simons Center for Geometry and Physics, Stony Brook (United States)
|
2011/02/14 | Remarks on Lagrangian intersections on toric manifolds | Workshop on Symplectic Geometry and Topology
Kyoto University (Japan)
|
2011/02/07 | Existence and uniqueness of complete scalar-flat Kaehler metrics on non-compact toric 4-manifolds | Workshop on Extremal Metrics: evolution equations and stability
CIRM (Marseille, France)
|
2010/08/02 | Contact Homology Computations for Toric Contact Structures on $S^2 x S^3$ | Workshop on Symplectic Techniques in Conservative Dynamics
Lorentz Center (Leiden, Netherlands)
|
2010/07/05 | Contact Homology of Good Toric Contact Manifolds | Workshop on Symplectic Geometry and Transformation Groups
ICMS (Edimburgo, United Kingdom)
|
2010/03/21 | Contact and Lagrangian Floer homologies of toric manifolds | Workshop on Symplectic and Contact Topology and Dynamics: Puzzles and Horizons
MSRI (Berkeley, California, United States)
|
2009/08/03 | Contact Homology of Toric Contact Manifolds | Workshop on Conservative Dynamics and Symplectic Geometry
IMPA (Rio de Janeiro, Brazil)
|
2009/01/29 | Toric Kähler-Sasaki geometry in action-angle coordinates | Workshop on Symplectic Topology, Contact Topology, and Interactions (III)
University of Strasbourg (France)
|
2008/06/25 | Toric Kähler-Sasaki geometry in action-angle coordinates | Conference on Moment Maps
Centre de Recerca Matemàtica (Barcelona, Spain)
|
2007/08/06 | Toric Geometry in Action-Angle Coordinates | Workshop on Conservative Dynamics and Symplectic Geometry
IMPA (Rio de Janeiro, Brazil)
|
2007/02/09 | Hearing the weights of weighted projective planes | Iberian Mathematical Meeting
(Lisbon, Portugal)
|
2005/12/03 | Moment maps, symplectomorphism groups and compatible complex structures | BIRS Workshop on Recent Advances in Symplectic Geometry, on the occasion of Dusa McDuff´s 60th birthday
Banff International Reserach Station (Canada)
|
2005/02/21 | Toric Kaehler metrics in symplectic coordinates and the Scalar Curvature Equation | Workshop on Geometric Analysis
Tohoku University (Sendai, Japan)
|
2004/07/03 | Topology of symplectomorphism groups and spaces of complex structures | Symplectic Topology
(Stare Jablonki, Poland)
|
2003/06/16 | Topological decomposition of a symplectomorphism group | Invariants in Low Dimensional Topology
Alfréd Rényi Institute of Mathematics (Budapest, Hungary)
|
2001/06/10 | Kahler metrics on toric orbifolds | Differentialgeometrie im Groben
Mathematisches Forschungsinsitut Oberwolfach (Germany)
|
2001/06/04 | Kahler geometry of toric orbifolds and U(n)-invariant extremal metrics | Workshop on Hamiltonian Group Actions and Quantization
Fields Institute (Toronto, Canada)
|
2001/05/04 | The topology of symplectomorphism groups | Cornell Topology Festival
Cornell University (Ithaca, NY, United States)
|
2001/03/26 | Kahler metrics on toric orbifolds | Workshop on Symplectic and Contact Topology, Quantum Cohomology, Symplectic Field Theory and Higher-Dimensional Gauge Theory
CRM and Fields Institute (Montreal and Toronto , Canada)
|
1999/11/18 | Kahler geometry of toric varieties in symplectic coordinates | 1999 Prospects in Geometry Conference
Max-Planck-Institut and University of Leipzig (Germany)
|
1997/10/30 | Topology of Symplectomorphism Groups of 4-manifolds | 1997 Clifford Conference
Tulane University (United States)
|
Supervision
Thesis Title Role |
Degree Subject (Type) Institution / Organization |
|
---|---|---|
2013/10 - Current | Posdoctoral supervision of Giorgio Trentinaglia
Supervisor
|
Mathematics (Other)
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
|
2018/09 - 2019/07 | Floer homology for global quotient orbifolds
Co-supervisor
|
Mathematics (Master)
Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal
|
2018/01 - 2018/12 | The Arnold conjecture and Floer homology
Co-supervisor
|
Mathematics (Master)
Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal
|
2013/01 - 2016/02 | Posdoctoral supervision of Milena Pabiniak
Supervisor
|
Mathematics (Other)
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
|
2010 - 2015 | Displaceability and fillability on toric symplectic and contact manifolds
Co-supervisor
|
Matemática (PhD)
Universidade de Lisboa Instituto Superior Técnico, Portugal
|
2012/01 - 2013/06 | Posdoctoral supervision of Daniele Sepe
Supervisor
|
Mathematics (Other)
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
|
2006 - 2012 | Towards a classification of T2-actions on contact 5-manifolds
Co-supervisor
|
Matemática (PhD) |
2010/09 - 2011/08 | Posdoctoral supervision of Eveline Legendre
Supervisor
|
Mathematics (Other)
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
|
2005 - 2009 | Contac Homology, Capacity and Non-squeezing Inr2nxs1 Via Generating Functions
Supervisor
|
Matemática (PhD) |
2005/07 - 2008/11 | Posdoctoral supervision of Sang Seon Kim
Supervisor
|
Mathematics (Other)
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
|
2006/02 - 2008/09 | Posdoctoral supervision of Bart Van Steirteghem
Supervisor
|
Mathematics (Other)
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
|
2006/05 - 2007/02 | Posdoctoral supervision of Hui Li
Supervisor
|
Mathematics (Other)
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
|
2005/09 - 2006/06 | Posdoctoral supervision of Emily Dryden
Supervisor
|
Mathematics (Other)
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
|
Event organisation
Event name Type of event (Role) |
Institution / Organization | |
---|---|---|
2022/06/27 - 2022/07/01 | Workshop on Symplectic Dynamics (2022/06/27 - 2022/07/01)
Workshop (Co-organisor)
|
Universidade de Lisboa Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal |
2015/06/10 - 2015/06/13 | Contact and Symplectic Geometry Session of the AMS-EMS-SPM Joint International Meeting (2015/06/10 - 2015/06/13)
Conference (Co-organisor)
|
Universidade do Porto, Portugal |
2011/10/07 - 2011/10/09 | Symplectic Geometry Session of the EMS-RSME Joint MathematicalWeekend, Bilbao, Spain (2011/10/07 - 2011/10/09)
Conference (Co-organisor)
|
|
2010/10/01 - 2010/10/03 | III Iberian Mathematical Meeting (2010/10/01 - 2010/10/03)
Conference (Member of the Scientific Committee)
|
Universidade do Minho, Portugal |
2009/07/09 - 2009/07/12 | XVIII Oporto Meeting on Geometry Topology and Physics: Poisson and Symplectic Geometry (2009/07/09 - 2009/07/12)
Conference (Member of the Scientific Committee)
|
Universidade do Porto, Portugal |
2007/06/25 - 2007/06/29 | New Perspectives and Challenges in Symplectic Field Theory - a Conference in Honour of Yasha Eliashberg's 60th Birthday (2007/06/25 - 2007/06/29)
Conference (Co-organisor)
|
Stanford University, United States |
2002/09/02 - 2002/09/07 | Poisson 2002 - Conference on Poisson Geometry (2002/09/02 - 2002/09/07)
Conference (Co-organisor)
|
Universidade de Lisboa Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal |
1999/06/21 - 1999/06/26 | Omega-99 Conference on SymplecticGeometry (1999/06/21 - 1999/06/26)
Conference (Co-organisor)
|
Universidade de Lisboa Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal |
Journal scientific committee
Journal title (ISSN) | Publisher | |
---|---|---|
2015/11 - Current | Portugaliae Mathematica (0032-5155) | European Mathematical Society |
Distinctions
Award
2016 | Prix du Concours annuel 2016, Groupe I - Mathematiques, from the Classe des Sciences of the Academie Royale de Belgique |
Other distinction
2022 | Corresponding member of the Academy of Sciences of Lisbon
Academia das Ciências de Lisboa, Portugal
|
2000 | Jerrold E. Marsden postdoctoral fellowship
Fields Institute for Research in Mathematical Sciences, Canada
|
1995 | Alfred P. Sloan doctoral dissertation fellowship |