Profa. Begoña Alarcón

Professora Adjunto I com doutorado em Matemática

Linha de Pesquisa: Sistemas Dinâmicos

CV

My personal curriculum-vitae.

I. Professional Data

Begoña Alarcón Cotillas
Departamento de Matemática Aplicada
Instituto de Matemática e Estatística
Universidade Federal Fluminense

Rua Mário Santos Braga, S/N, Campus do Valonguinho
CEP 24020-140, Niterói, RJ, Brazil

Phone (+55 21) 2629-2085
Fax (+55 21) 2629- 2113
e-mail: balarcon@id.uff.br
web site: http://www.professores.uff.br/balarcon

II. Academic background


Feb 10, 2014
Acreditación de Contratado Doctor: ”Docent” academic degree by ANECA (National Agency for Quality Assessment and Accreditation ), Spain.
Sep 2010- Aug 2011Post-Doc in CMUP, Department of Mathematics, University of Porto, Portugal.
Oct 21, 2009Ayudante Doctor: ”Docent” academic degree by ANECA (National Agency for Quality Assessment and Accreditation ), Spain.
Nov 14, 2008PhD in Mathematics, Departament of Applied Mathematics, Universtity of Valencia, Spain.
Title of the PhD thesis: Planar maps with a globally attracting fixed point.
Advisor: José Martínez Alfaro (University of Valencia, Spain) and Carlos Gutierrez (ICMC- University of São Paulo, Brazil).
Nov 2005 - Aug 2006 Doctoral Research Fellow, ICMC-University of São Paulo, Brazil
Oct 2005Certiticate of Advance Studies (DEA) in Mathematics, Departament of Applied Mathematics, Universtity of Valencia, Spain.
Oct 2003 - Jul 2004Doctoral Research Fellow, ICMC-University of São Paulo, Brazil
1995-2001Graduate in Mathematics at the University of Valencia, Spain

III. Professional background

Dez 2013- present

Professor Adjunto A2, Department of Applied Mathematics, Universidade Federal Fluminense, Brazil.
Sep 2011- Dez 2013Profesor Ayudante Doctor, Department of Mathematics, University of Oviedo, Spain.
Oct 2009 - Aug 2010Profesor Titular de Universidad Interino, Department of Mathematics- Applied Mathematics, University of Oviedo, Spain.
Feb 2009- Sep 2009Profesor. Titular de Universidad Interino, Department of Mathematics- Analysis, University of Oviedo, Spain.
Nov 2006 - Sep 2007Profesor Asociado, Departament of Mathematics -Geometry and Topology, University of Jaime I of Castellon, Spain.

Oct 2004 -Sep 2005
Profesor Asociado, Departament of Geometry and Topology, University of Valencia, Spain.
Nov 2002 -Sep 2005Profesor Asociado, Departament of Geometry and Topology, University of Valencia, Spain.

IV. Research and Publications:

Research:
My main interests are Topological Dynamics on Surfaces and Bifurcation Theory of vector fields, including global dynamics and classification of injective maps. I am also interested on Dynamical Systems with symmetry and applications to Differential Equations. Recently, I am curious about Numerical Analysis and Mathematical Biology.

Pubications:

[AR] B. Alarcón and R. Rabanal. Hopf bifurcation at infinity and dissipative vector fields of the plane. Proceedings of the American Mathematical Society, 145, 3033-3046, 2017. DOI 10.1090/proc/13462.
[ACL4] B. Alarcón, S.B.S.D. Castro and I. S. Labouriau. Global Saddles for Planar Maps. Journal of Dynamics and Differential Equations, 2016. DOI 10.1007/s10884-016-9561-3.
[ACL4] B. Alarcón, S.B.S.D. Castro and I. S. Labouriau. Discrete Symmetric Planar Dynamics. Dynamics, Games and Science CIM Series in Mathematical Sciences Vol. I. Chap 2, 2015.
[A] B. Alarcón. Rotation numbers for planar attractors of equivariant homeomorphisms. Topological Methods in Nonlinear Analysis, 42 n.2, 327-343, 2013
[ACL3] B. Alarcón, S.B.S.D. Castro and I. S. Labouriau. Global Dynamics for Symmetric Planar Maps. Discrete & Continuous Dyn Syst- A, 37, 2241-2251, 2013.
[ACL2] B. Alarcón, S.B.S.D. Castro and I. S. Labouriau. A local but not global attractor for a Zn-symmetric map. Journal of Singularities, 6, 1-14, 2012.
[ACL1] B. Alarcón, S.B.S.D. Castro and I. S. Labouriau. The Discrete Markus-Yamabe Problem for Symmetric Planar Polynomial Maps. Indagationes Mathematicae, 23, 603–608, 2012.
[AGG2] B. Alarcón, V. Guíñez, C. Gutierrez. Planar embeddings with a globally attracting fixed point. Nonlinear Analysis, 69, 140-150, 2008.
[AGM] B. Alarcón, C. Gutierrez, J. Martínez-Alfaro. Planar maps whose second iterate has a unique fixed point. Journal of Difference Equations and Applications, 14, 421-428, 2008.
[AGG1] B. Alarcón, V. Guíñez, C. Gutierrez. Hopf bifurcation at infinity for planar vector fields. Discrete and Continuous Dynamical Systems. Series A, 17, 247-258, 2007.

V. Contributions to Congresses and Workshops

International:

– Surfaces in Luminy 2016, Luminy (France).
– Surfing the complexity – A journey through Dynamical Systems 2015, Oviedo (Spain).
– 13th International Workshop on Real and Complex Singularities 2014, São Carlos (Brazil).
– Surfaces in São Paulo 2014, São Sebastião- SP (Brasil).
– 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications 2014, Madrid (Spain).
– A week on Dynamical Systems at IM-UFRJ 2013, Rio Janeiro (Brazil).
– 18th International Conference on Difference Equations and Applications 2012, Barcelona (Spain).
– Conference in honour of Xavier Gómez-Mont on the occasion of his 60th Birthday 2011, Guanajuato (Mexico).
– Future Directions in Difference Equations 2011, Vigo (Spain).
– Workshop on Singularities in Geometry and Applications 2011, Poznan (Poland).
– XXII Summer Conference on Topology and its Applications 2007, Castellón (Spain).
– ICM 2006 – International Congress of Mathematicians 2006, Madrid (Spain).
– IX International Workshop on Real and Complex Singularities 2006, São Carlos (Brazil).

Local:

– Congreso de la RSME 2015, Granada (Spain).
– Workshop de Topologia & Dinâmica 2013, Niterói (Brasil).
– Ddays 2010, Calatayud (Spain). – Seminar on Topological Dynamics 2010, Logroño (Spain).
– I Jornadas de Divulgación Científica 2007, Castellón (Spain).
– XV Encontro Brasileiro de Topologia 2006, Rio Claro (Brazil).
– Primer Congreso Conjunto de Matemáticas RSME-SCM-SEIO-SEMA 2005, Valencia (Spain).

VI. Experience in supervising

Undergraduate Thesis:

– 2014: Silvia del Valle González. Análisis del crecimiento y colonización del Phythopthora cinnamomi en diferentes medios de cultivo. Trabajo Fin de Carrera (Ingeniería Técnica Florestal). Universidad de Oviedo, Asturias (Spain).

Undergraduate Projects:

– 2015: Luiz Eduardo Souza Xavier. Matemática do dia-a-dia: Matemática Financiera. Projeto de Iniciação Científica. Aluno de Ciência da Computação da UFRJ.
– 2016: Luiz Eduardo Souza Xavier. Simulação de Equações Diferenciais e Aplicações na Biologia. Projeto de Iniciação Científica. Aluno de Ciência da Computação da UFRJ. Bolsista FAPERJ.

VII. Experience in Organization of Research Activities


Feb 2016
Member of the Organizing Committee of the congress Workshop de Topologia & Dinâmica 2016.
Dez 2015Co-organizer of Special Session Topology & Dynamics of the First Joint Meeting SBM - SBMAC - RSME.
Jun 2015Member of the Organizing Committee of the international congress Surfing the complexity – A journey through Dynamical Systems.
Feb 2015Member of the Organizing Committee of the congress Workshop de Topologia & Dinâmica 2015.
Mar 2014-Dez 2014Organizer of the UFF Dynamical Systems Seminar.
Sept 2012Member of the Organizing Committee of the international congress Dynamical Systems: 100 years after Poincaré. Sep 3-7, 2012.

Nov 2010 - Aug 2011
Organizer of the CMUP Dynamical Systems Seminar.
Mar 2009Member of the Organizing Committee of International Workshop on Singularities in Generic Geometry and Applications.
Jan 2005Organization assistant of Primer Congreso Conjunto de Matemáticas RSME-SCM-SEIO-SEMA MAT.ES 2005.

VIII. Research Stays

Jan 2015 Universidad de Granada, Department of Applied Mathematics, Spain.
To work with: Pedro Torres.
Jun 2014 Unversidad de Chile, Department of Mathematics, Chile.
To work with: Álvaro Castañeda.
Nov 2013
CMUP, Departament of Mathematics, University of Porto, Portugal.
To work with: Prof. Isabel Labouriau and Sofia Castro.
Jan-Mar 2013 IMPA, Instituto de Matemática Pura e Aplicada, Brazil.
To work with: Prof. Enrique R. Pujals
May 2012
London Imperial College, Departament of Mathematics, United Kingdom.
To work with: Prof. Jeroen Lamb.
Mar-Apr 2012
CMUP, Departament of Mathematics, University of Porto, Portugal.
To work with: Prof. Isabel Labouriau and Sofia Castro.
Aug 2011
UNAM, Departament of Mathematics, Cuernavaca, Mexico.
To work with: Prof. Fuensanta Aroca.
Jul 2011
Universidade Nova de Lisboa, Departament of Applied Mathematics, Portugal.
To work with: Prof. Rogerio Matins.
Jan 2011

Universidad de Granada, Departament of Applied Mathematics, Spain.
To work with: Prof. Rafael Ortega.
Jul 2010
CMUP, Departament of Mathematics, University of Porto, Portugal.
To work with: Prof. Isabel Labouriau and Sofia Castro.
Jun 2010
Universidad de Granada, Departament of Applied Mathematics, Spain.
To work with: Prof. Rafael Ortega.
Jan 2009
CRM, Barcelona, Spain. Posdoctoral Fellowship for Research Program on Mathematical Biology.
Feb 2008
Universidad Complutense de Madrid, Spain
To work with: Prof. Francisco Romero Ruiz del Portal.
IX. Experience in Thesis Committees

PhD Thesis:

– Tiane Marcarini Pinto. Generation of spines in porgupine-like horseshoes. June 2014. Pontificia Universidade Católica do Rio de Janeiro (Brazil).

Undergraduate Thesis:

– María Gavieiro Álvarez. Diagramas de manejo de la densidad para masas de Betula Celtibérica en el norte de España. November 2013. Universidad de Oviedo, Asturias (Spain).
– Pablo Gutiérrez Barrientos. Dicotomias y Funciones de Melnikov en el estudio de la existencia y persistencia de órbitas (homo) heteroclínicas. June 2009. Universidad de Oviedo, Asturias (Spain).

X. Mini-couses

Jun 2014
Conjetura Discreta de Markus-Yamabe con simetría. Universidad de Santiago de Chile.
May-Jun 2009
Homeomorfismos libres y dinámica discreta global en el plano. Aplicaciones a la Conjetura Discreta de Markus-Yamabe. Universidad de Oviedo, Spain.
Mar-Apr2006
Dinâmica Topológica e Teoria de Índice. ICMC-Universidade de São Paulo, São Carlos, Brasil.

XI. Presentation at Seminars

Jun 20, 2014 Global Dynamics for Symmetric Planar Maps. Instituto de Matemáticas, PUC Valparaíso, Chile.
Jun 26, 2014 Número de rotación para homeomorfismos del plano con un punto fijo. Universidad de Santiago de Chile.
Apr 25, 2014 Aplicações Zn-equivariantes com um atrator local que não é atrator global. Dynamical Systems Group of UFF, Niterói- RJ, Brasil.
Mar 28, 2014 Existência de uma sela global. Dynamical Systems Group of UFF, Niterói- RJ, Brasil.
Mar 14, 2014 Dinâmica global no plano. Dynamical Systems Group of UFF, Niterói- RJ, Brasil.
Jun 14, 2012
Dinámica global con simetría . Department of Geometry and Topology, Universidad de Santiago de Compostela, Spain.
May 10, 2012
Global Dynamics for Symmetric Planar Maps . Dynamical Systems Group of Imperial College London, United Kingdom.
Apr 13, 2012
Rotation numbers for planar attractors of equivariant homeomorphisms . Dynamical Systems Group of CMUP, Porto, Portugal.
Jul 6, 2011
Global Dynamics for Symmetric Systems. Differential Equations Group of New University of Lisbon, Lisbon, Portugal.
Mar 18, 2011
Global Dynamics for Symmetric Planar Maps. Dynamical Systems Group of CMUP, Porto, Portugal.
Feb 2, 2011
Equivariant Planar Maps. Differential Equation Group of University of Granada, Spain.
Nov 27, 2009
The Discrete Markus-Yamabe Problem and Applications. Dynamical Systems Groups of CMUP, Porto, Portugal.
Feb 16, 2009
From Topological Dynamics to Difference and Differential Equations. Dynamical Systems Group of Authonomous University of Barcelona, Spain.
Nov 17, 2007
Planar Embeddings with a globally attracting fixed point. Differential Equation Group of University of Granada, Spain.
Apr 30, 2004
Hopf Bifurcation at Infinity. Dynamical Systems Group of University of Valencia, Spain.