Curriculum Vitae
Marcos P. Cavalcante
July 6th , 2014
Personal Information
Name: Marcos Petrúcio de Almeida Cavalcante
Date of birth: February 2nd of 1979
Nationality: Brazilian
Address
Universidade Federal de Alagoas - UFAL
Instituto de Matemática - IM
Campus A. C. Simões
Av. Lourival Melo Mota, s/n, Tabuleiro dos Martins - Maceió/AL
57072-900, Brazil Phone: (55) (82) 3214-1896
E-mail: [email protected]
Education
2002-2006 Ph.D. in Mathematics
IMPA, Rio de Janeiro/RJ Brazil
Thesis Advisor : Manfredo P. do Carmo
Title : Conformally Flat Metrics, Constant Mean Curvature Surfaces in Product
Spaces and r-stability of Hypersurfaces
Scholarship from : Conselho Nacional de Desenvolvimento Cientı́fico e Tecnológico
(CNPq)
2000-2001 Mathematics M.S.
IMPA, Rio de Janeiro/RJ Brazil
Advisor : Manfredo P. do Carmo
Scholarship from : Conselho Nacional de Desenvolvimento Cientı́fico e Tecnológico
(CNPq)
1996-1999 Mathematics B.S.
UFAL - Universidade Federal de Alagoas
Maceió, Alagoas - Brazil
Employment history
2003-2006 Assistent Professor 1, UFAL
2006-2008 Adjoint Professor 1, UFAL
2008-2010 Adjoint Professor 2, UFAL
2010-2012 Adjoint Professor 3, UFAL
2012-2014 Adjoint Professor 4, UFAL
2014-present Associate Professor 1, UFAL
Visiting Positions
2009
Instituto de Matemática Pura e Aplicada (IMPA), Brazil (2 months)
2009-2010 Institut Fourier, Grenoble, France (post-doc)
Research interests
Mathematics
Differential Geometry
Partial Differential Equations
General Relativity
Awards
1995 Honourable mention on the XVII Brazilian Mathematical Olympiad
2010 Travel Grant for Young Mathematicians from Developing Countries (ICM Hyderabad 2010) International Mathematical Union (IMU)
Research Papers
1. Liouville type theorems for fully nonlinear conformal equations on the hemisphere with prescribed mean curvature. Preprint 2014 (with J. Espinar).
2. Half-Space Theorem for Self-Shrinkers. Preprint 2014 (with J. Espinar).
3. New Calabi-Bernstein’s type results in weighted generalized Robertson-Walker
spacetimes To appear in Acta Mathematica Hungarica (with H de Lima and M.
Santos).
4. Weighted Myers Type Theorems and Applications. Preprint 2014 (with J.
Oliveira and M. Santos).
5. Constant Mean Curvature Surfaces in M 2 (c) × R and finite total curvature.
Preprint 2014 (with M. Batista and D. Fetcu).
6. Lower Bound Estimates for the First Eigenvalue of the Laplacian on Complete
Submanifolds. arXiv:1306.1559 (with F. Manfio).
7. Some Isoperimetric Inequalities and Eigenvalue Estimates in Weighted Manifolds. Journal of Mathematical Analysis and Applications, v. 419 (2014) p.
617–626. (with M. Batista and J. Pyo).
8. The p-hyperbolicity of Infinite Volume Ends and Applications. Geometriae
Dedicata v. 171 (2014), p. 397-406. (with M. Batista and N. Santos).
9. Stability Properties of Rotational Catenoids in The Heisenberg Groups. arXiv:
1010.0774. To apper in Matemática Comtemporânea (with P. Bérard).
10. L2 - Harmonic 1-Forms on Submanifolds with Finite Total Curvature. The
Journal of Geometric Analysis. Vol.24 p. 205–222 (2014) (with H. Mirandola
and F. Vitório).
11. The Non-Parabolicity of Infinite Volume Ends. arXiv:1201.6391. To appear in
Proceedings of the American Mathematical Society. (with H. Mirandola and F.
Vitório).
12. Eigenvalue Estimates for Hypersurfaces in H m × R and Applications. Pacific
Journal of Mathematics. v.253, p.19–35, (2011) (with P. Bérard and Ph. Castillon).
13. Convexity in Locally Conformally Flat Manifolds with Boundary. Pacific Journal of Mathematics. v.234, p.23 - 32, (2008).
14. The r-stability of Hypersurfaces with Zero Gauss-Kronecker Curvature. Proceedings of the American Mathematical Society. v.136, p.287 - 294, (2008).
15. Examples and Structure of CMC Surfaces in Some Riemannian and Lorentzian
Homogeneous Spaces. Michigan Mathematical Journal. v.55, p.163 - 181, (2007)
(with J. de Lira).
Book
“Introdução à análise harmônica e aplicações”. Book published by 27o. Colóquio
Brasileiro de Matemática, Instituto de Matemática Pura e Aplicada - IMPA, Rio de
Janeiro, Brazil, 2009. v. 1. 117p (with Adán Corcho).
Supervision of Ph.D. Theses
2012 - present Marcio Silva Santos, UFAL-Brazil
2013 - present Abraão Mendes do Rego, UFAL-Brazil.
2014 - present Wagner Oliveira Costa Filho, UFAL-Brazil
Supervised M. S. Dissertations
2012 - Abraão Mendes do Rego, UFAL-Brazil
2010 - Robério Batista da Rocha, UFAL-Brazil
2009 - Erikson Alexandre Fonseca dos Santos, UFAL-Brazil
2008 - André Pizzaia Butta, UFAL-Brazil
Invited Talks
2014 - Short Communication Section in the International Congress of Mathematicians, Seoul, Republic of Korea, August 2014.
2014 - XVII School of Differential Geometry, Brasilia, July 28 - August 1, 2014.
2014 - Graduated Students Colloquium, Universidade Federal de Santa Catarina,
Florianopolis, Brazil.
2014 - Differential Geometry Seminar, Universidade Federal de Campina Grande,
Campina Grande, Brazil
2013 - School in Geometric Analysis, Como, Italy.
2013 - Geometry Colloquium, Universidade Federal de Pernambuco, Recife, Brazil
2013 - 29th Brazilian Colloquium of Mathematics, IMPA Rio de Janeiro, Brazil
2013 - Geometry Seminar, IMPA, Rio de Janeiro, Brazil
2012 - I Geometric Analysis Meeting, Universidade Federal de Minas Gerais, Belo
Horizonte, Brazil
2012 - Colloquium, Universidade Federal do Espı́rito Santo, Vitória, Brazil
2012 - Colloquium, Universidade Federal do Piaui, Terezina, Brazil
2012 - Encontro de Matemática Pura e Aplicada, Universidade Estadual da Paraiba,
Campina Grande, Brazil
2012 - Escola de Verão em Geometria e Topologia, Universidade Federal de São Carlos,
Brazil
2012 - Encontro Internacional de Matemática no Nordeste Brasileiro, Universidade
Federal de Sergipe, Aracajú, Brazil
2012 - IV Workshop on Geometric Analysis, Universidade Federal do Ceará, Fortaleza,
Brazil
2012 - Bienal da Matemática, Universidade de Campinas, Brazil
2011 - Geometric Analysis II, Institut Fourier, Grenoble, France
2011 - III Workshop on Geometric Analysis, Universidade Federal do Ceará, Fortaleza,
Brazil
2010 - King’s College London Geometry Seminar, London UK
2010 - Seminario de Geometrı́a, Universidad de Granada, Granada, Spain
2010 - Séminaire de Géométrie, Institut de Mathématiques de Jussieu, Paris, France