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
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