Current Position
Universidade Federal do Espírito Santo (UFES), Brazil
Assistant Professor - Tenure (Professora Adjunta) 2016 – present
Education
University of California, Santa Cruz (UCSC), USA
Ph.D. in Mathematics, 2013
Thesis advisor: Viktor Ginzburg
Thesis title: Coisotropic Symplectic Topology and Periodic Orbits in Symplectic Dynamics
Instituto Superior Técnico (IST), Portugal
M.Sc. in Mathematics, 2008
Thesis advisor: Leonor Godinho
Thesis title: Decomposition of Polygon Spaces in R3
Faculdade de Ciências, Universidade de Lisboa (FCUL), Portugal
B.Sc. in Mathematics (with honors), 2005
Employment
Instituto de Matemática Pura e Aplicada (IMPA), Brazil
Post doctorate of Excellence, 2013 – 2016
Hosted by: Henrique Bursztyn
Teaching Activity
Instructor at UFES
– 2025/2: Cálculo II (Engenharias)
– 2025/1: Cálculo I (Estatística) e Cálculo II (Engenharias)
– 2024/2: Cálculo I (Engenharia) e Cálculo II (Engenharias)
– 2024/1: Cálculo I (Engenharia), Cálculo III (Matemática)
– 2023/2: Teoria de Grupos; Cálculo I
– 2023/1: Álgebra Linear; Noções de Lógica
– 2022/2: Álgebra Linear; Tópicos de Geometria e Topologia II (PPGMat)
– 2022/1: Álgebra Linear II; Cálculo II
– 2021/2: Álgebra Linear; Cálculo III
– 2021/1: Topologia dos Espaços Métricos; Variedades Diferenciáveis (PPGMat)
– 2020/1: Álgebra Linear
– 2019/2: Variáveis Complexas; Variedades Diferenciáveis (PPGMat)
– 2019/1: Cálculo II; Noções de Lógica
– 2018/2: Cálculo II; Grupo Fundamental e Espaços de Recobrimento - Tópicos de Geometria e Topologia I (PPGMat)
– 2018/1: Cálculo II; Variedades Diferenciáveis - Tópicos de Análise I (PPGMat)
– 2017/2: Variáveis Complexas; Análise no Rn (PPGMat)
– 2017/1: Análise I; Tópicos de Geometria e Topologia I (PPGMat)
– Summer 2017: Análise I
– 2016/2: Álgebra Linear; Variáveis Complexas
Postdoctoral Felllow at IMPA (responsible for teaching Ph.D. level courses)
– Summer 2014: Introdução à Dinâmica Simplética
– Summer 2015: An Introduction to Symplectic Dynamics
Teaching Assistant at UCSC (responsible for leading sections, holding office hours and grading exams)
– Spring 2013: Math 24, Ordinary Differential Equations
– Winter 2013: Math 11A, Calculus for Biology and Medicine
– Fall 2012: Math 11A, Calculus for Biology and Medicine
– Spring 2009: Math 22, Introduction to Calculus of Several Variables
– Winter 2009: Math 19A, Calculus for Science, Engineering and Mathematics
– Fall 2008: Math 3, Pre-calculus
Teaching Assistant at IST (responsible for leading sections, holding office hours and grading exams)
– Spring 2006: Análise Matemática I
Course Assistant at FCUL (responsible for grading homework)
– Spring 2005: Calculus I
Students
Masters
Thales Danton de Souza (June 2023)
Brayan Cuzzuol Ferreira (September 2019)
Joelso Giovanelli (May 2019)
Iniciação Científica
Heloísa Benício Leles (September 2025 -- )
João Vítor Medeiros de Assis (October 2023)
Thales Danton de Souza (2021)
Research Interests
Symplectic topology and geometry
Publications
“On periodic points of symplectomorphisms on surfaces"
Pacific Journal of Mathematics 2018 294 (1): 19-40
“On non-contractible hyperbolic periodic orbits and periodic points of symplectomorphisms"
Journal of Symplectic Geometry 2017 15 (3): 687-717
“On hyperbolic points and periodic orbits of symplectomorphisms",
Journal of the London Mathematical Society 2015 91 (1): 249-265
“Coisotropic symplectic topology and periodic orbits in symplectic dynamics",
Ph.D. thesis, University of California Santa Cruz, 2013
“On the rigidity of the coisotropic Maslov index on certain rational symplectic manifolds",
Geometriae Dedicata 165 (2013), 135-156
“Decomposition of polygon spaces in R3",
Master’s thesis, Instituto Superior Técnico, 2008
Preprint
“The number of periodic points of surface symplectic diffeomorphisms",
w/Marcelo Atallah and Brayan Ferreira, arXiv:2409.14962 , 2024
Projects
Topologia simplética: órbitas periódicas em sistemas dinâmicos simpléticos
- Projeto Universal CNPq - Chamada MCT IC/CNPq Nº 28/2018; Faixa A
Exam Committees
Member of PhD thesis committee, IMPA
– Eddy Santiago Achig Andrango, August 2023
Member of Master thesis committee, UFES
– Gustavo Panin Ramos, January 2023
Member of PhD thesis committee, Universidade de São Paulo (USP)
– Ana Kelly de Oliveira, March 2022
Member of Master thesis committee, Pontifícia Universidade Católica (PUC - Rio)
– Simone de Freitas de Souza, September 2018
Member of oral qualifying exam committees, PUC - Rio
– Raimundo Neto Nunes Leão, September 2017
Member of Master thesis committee, UFES
– Aaron Aragon Maroja, March 2017
Member of Master thesis committee, Universidade Estadual de Campinas (UNICAMP)
– Bianca Fujita Castilho, March 2016
Member of oral qualifying exam committees, IMPA
– Martina Negrin Barcellos, September 2014
– Juan David Rojas Gacha, October 2014
– Wagner Ranter Gouveia da Silva, October 2014
– Hugo Fonseca Araújo, November 2014
– Juan José Villarreal Montoya, April 2015
– Miquel Cueca Ten, August 2015
– El Hadji Yaya Tall, October 2015
Other Committes
Selection Committe (member) - math posdoctoral position at UFES, 2017 - 2020
Visiting Positions
IMPA - Instituto de Matemática Pura e Aplicada, April 2024 ("Licença Capacitação")
Hosted by: Leonardo Macarini
ICMAT - Instituto de Ciencias Matematicas - Viktor Ginzburg Lab, Madrid, Spain, June 2014
UCSC - University of California, Santa Cruz, USA, September/October 2015
Hosted by: Viktor Ginzburg
UNICAMP - Universidade Estadual de Campinas, Brazil, November/December 2015
Hosted by: Ketty Rezende
Talks in Conferences and Seminars
Geometria em Lisboa Seminar (online), IST, Portugal, September 2025.
International Conference on Symplectic Dynamics, SUSTech International Center for Mathematics, China, August 2025.
35o Colóquio Brasileiro de Matemática (sessão temática em Geometria Simplética), IMPA, Rio de Janeiro, Brazil, August 2025.
Seminário EDAÍ, UFRJ, May, 2025
Seminário do PPGMat, UFES, Brazil, October 2019.
Encontro Brasileiro de Mulheres Matemáticas, IMPA, Brazil, July 2019.
Matemáticos Portugueses pelo Mundo II, Universidade do Porto, Portugal, June 2019.
Workshop on Conservative Dynamics and Symplectic Geometry, IMPA, Brazil, August 2017.
Geometria em Lisboa seminar, IST, Portugal, July 2017.
Hamiltonian and Reeb Dynamics: New Methods and Applications, Lorentz Center, The Netherlands, July 2017.
Palestras do PET - UFES, Vitória, Brazil, July 2017.
Ciclo de Palestras do PPGMAT - UFES, Vitória, Brazil, May 2017.
V Iberoamerican Meeting on Geometry, Mechanics and Control, La Laguna, Spain, January 2017.
Seminário Simplético Conjunto no Rio, UFRJ, Rio de Janeiro, Brazil, November 2016.
Seminário de Geometria Diferencial, UFRJ, Rio de Janeiro, Brazil, May 2016.
Mini-workshop em Geometria Simplética, UFRJ, Rio de Janeiro, Brazil, February 2016.
Seminário de Sistemas Dinâmicos e Estocásticos, UNICAMP, São Paulo, Brazil, December 2015.
Northern California Symplectic Geometry Seminar, Stanford University, USA, October 2015.
Seminário de Álgebra e Geometria, UFPR, Curitiba, Brazil, August 2015.
30o Colóquio Brasileiro de Matemática (sessão temática em Geometria Simplética), IMPA, Rio de Janeiro, Brazil, July 2015.
Seminário em Geometria e Topologia, UFSC, Florianópolis, Brazil, July 2015.
AMS-EMS-SPM International Meeting, CAST session, Porto, Portugal, June 2015.
Seminário de Sistemas Dinâmicos e Estocásticos, UNICAMP, São Paulo, Brazil, April 2015.
Workshop de Topologia e Dinâmica 2015, UFF, Niterói, Brazil, February 2015.
Seminário Simplético Conjunto no Rio, Universidade Federal Fluminense, Niterói, Brazil, September 2014.
5th IST-IME meeting in honour of Prof. Orlando Lopes, USP, São Paulo, Brazil, August 2014
GESTA, ICMAT, Madrid, Spain, June 2014.
Symplectic Techniques in Dynamical Systems, ICMAT, Madrid, Spain, November 2013.
Symplectic Dynamics Seminar, IMPA, Brazil, November 2013.
Geometria em Lisboa, IST, Portugal, July 2013.
Riemannian and Contact Dynamics: Cross Views on Periodic Orbits, Université de Nantes, France, February 2013.
Northern California Symplectic Geometry Seminar, Stanford University, USA, December 2012.
Mathematics Colloquium, UCSC, USA, October 2012.
Geometria em Lisboa Seminar, IST, Portugal, July 2012.
From Conservative Dynamics to Symplectic and Contact Topology, Lorentz Center, Leiden, The Netherlands, July 2012.
Program for Women and Mathematics: 21-st Century Geometry, Institute for Advanced Study, Princeton, USA, May 2012.
Geometrical Methods in Dynamics and Topology, Hanoi National University of Education, Hanoi, Vietnam, April 2011.
Symplectic Techniques in Conservative Dynamics, Lorentz Center, Leiden, The Netherlands, August 2010.
Seminário Diagonal, FCUL, Portugal, March 2005.
Honors, Awards and Grants
Open Arms travel grant to attend ICM, from IMPA-SBM, 2018
Ph.D. fellowship from Fundação para a Ciência e a Tecnologia, Portugal, 2008-2012
Graduation with honors at FCUL, Portugal, 2005
Merit fellowship Novos Talentos em Matemática from Calouste Gulbenkian Foundation, 2003/2004
Events (organization)
XII Workshop em Geometria de Poisson, UFES, Brazil, Nov 2025 (w/ Brayan Ferreira, Mateus de Melo)
35o Colóquio Brasileiro de Matemática, IMPA, July/Aug 2025 (member of the scientific and organizing committee)
Workshop on Conservative Dynamics and Symplectic Geometry, IMPA, July 2025 (w/Henrique Bursztyn, Leonardo Macarini and Marcelo Viana)
VI Mini-Workshop de Geometria Simplética, UFES, Nov/Dec 2017 (w/Henrique Bursztyn, Brayan Ferreira, Mateus de Melo)
Workshop on Conservative Dynamics and Symplectic Geometry, IMPA, Aug 2023 (w/Henrique Bursztyn, Leonardo Macarini and Marcelo Viana)
symplectic geometry session during the 34o Colóquio Brasileiro de Matemática, IMPA, July 2023 (w/Renato Vianna)
symplectic geometry session during the Encontro Brasil-Portugal em Matemática, UFBA, Aug 2022 (w/María Amelia Salazar, Daniele Sepe)
symplectic geometry session during the 33o Colóquio Brasileiro de Matemática, IMPA, Aug 2021 (w/Renato Vianna)
International Conference on Symplectic Topology, at IMPA, Aug 2019 (w/Daniele Sepe, Renato Vianna and Vinicius Ramos)
School on Symplectic Topology, at IMPA, Aug 2019 (w/Daniele Sepe, Renato Vianna and Vinicius Ramos)
Workshop on Conservative Dynamics and Symplectic Geometry, IMPA, Aug 2019 (w/Henrique Bursztyn, Leonardo Macarini and Marcelo Viana)
II Mini-Workshop de Geometria Simplética, at UFES, Nov/Dec 2017 (w/Henrique Bursztyn and Umberto Hryniewicz)
symplectic geometry session during the 31o Colóquio Brasileiro de Matemática, IMPA, Aug 2017 (w/Leonardo Macarini)
students’ seminar, Seminário Diagonal, FCUL, 2004/2005 (w/Jaime Gaspar and Raquel Coelho)