Programa de Pós-Graduação - Matemática
Administração
O programa de Pós-Graduação em Matemática é oferecido sob a responsabilidade acadêmico-administrativa do Departamento de Matemática.
Prof. Jairo da Silva Bochi
Email: jairo@mat.puc-rio.br
Data de posse: março/2012
Rua Marquês de São Vicente, 225
Edifício Cardeal Leme, sala 862
Gávea - CEP: 22451-900 - Rio de Janeiro - RJ - Brasil
Tel.: 55 21 35271281
Email: secpos@mat.puc-rio.br
Site: www.puc-rio.br/ensinopesq/ccpg/progmat.html
Site: www.mat.puc-rio.br
Secretaria
Creuza da Conceição do Nascimento
creuza@mat.puc-rio.br
Colegiados
Prof. Jairo da Silva Bochi
Prof. Lorenzo Justiniano Díaz Casado
Prof. Rafael Oswaldo Ruggiero Rodriguez
Prof. Thomas Maurice Lewiner
Prof. Boyan Slavchev Sirakov (suplente)
Corpo Docente
Prof. Alex Lúcio Ribeiro Castro
Prof. Boyan Slavchev Sirakov
Prof. Carlos Tomei
Prof. Geovan Tavares dos Santos
Prof. Jairo da Silva Bochi
Prof. Lorenzo Justiniano Díaz Casado
Prof. Luca Scala
Prof. Marcos Craizer
Prof. Nicolau Corção Saldanha
Prof. Rafael Oswaldo Ruggiero Rodriguez
Prof. Ricardo de Sá Earp
Prof. Sinésio Pesco
Prof. Thomas Maurice Lewiner
Prof. Hélio Lopes (INF)
Prof. Pe. Paul Alexander Schweitzer S.J., Emérito
Pablo Guttierrez Barrientos
IES: Universidade Oviedo, Espanha
Orientador: Prof. Lorenzo Justiniano Díaz Casado
Katsutoshi Shinohara
IES: Universidade de Tókio, Japão
Orientador: Prof. Lorenzo Justiniano Díaz Casado
Cristina Lizana Araneda
IES: Universidad de Los Andes, Venezuela
Orientador: Prof. Lorenzo Justiniano Díaz Casado
Cynthia de Oliveira Lage Ferreira
IES: Université de Toulouse, França
Orientador: Prof. Geovan Tavares dos Santos
Cursos
Mestrado Acadêmico iniciado em 1969
Doutorado iniciado em 1974
Mestrado e Doutorado em Matemática
Área de Concentração:
• Matemática Pura e Aplicada
Linhas de pesquisa:
• Análise e Equações Diferenciais
• Combinatória
• Computação Científica
• Computação Gráfica e Processamento Geométrico
• Física Matemática
• Geometria Diferencial
• Geometria Algébrica
• Probabilidade e Processos Estocásticos
• Sistemas Dinâmicos
• Topologia
Avaliados pela Capes com conceito 5 para o triênio 2007/2009
Grupos de Pesquisa
Convênios e Parcerias
Publicações
SIRAKOV, B.; ARMSTRONG, S. N. A new approach to Liouville theorems for elliptic inequalities. In: PROGRESS IN VARIATIONAL PROBLEMS. Kyoto, 2012. P. 64-74.
CASTRO, A. L.; HOWARD, W. C. A monster tower approach to Goursat multi-flags. Differential Geometry and Its Applications, Elsevier, v. 30, p. 405-427, 2012.
CASTRO, A. L.; MONTGOMER, R. Spatial curve singularities and the monster / semple tower. Israel Journal of Mathematics, v. 192, p. 381-427, 2012.
ANDRADE, M.; LEWINER, Thomas. Affine-invariant curvature estimators for implicit surfaces. Computer Aided Geometric Design, Elsevier, v. 29, p. 162-173, 2012.
AVILA, Artur; BOCHI, J. Nonuniform hyperbolicity, global dominated splittings and generic properties of volume-preserving diffeomorphisms. Transactions of the American Mathematical Society, v. 364, p. 2883-2907, 2012.
AVILA, Artur; BOCHI, J.; DAMANIK, D. Opening gaps in the spectrum of strictly ergodic Schrödinger operators. Journal of the European Mathematical Society, v. 14, p. 61-106, 2012.
BOCHI, J.; BONATTI, Ch. Perturbation of the Lyapunov spectra of periodic orbits. Proceedings of the London Mathematical Society, v. 105, p. 1-48, 2012.
BONATTI, Ch; DÍAZ, L. J. Abundance of C1 robust homoclinic tangencies. Transactions of the American Mathematical Society, v. 364, p. 5111-5148, 2012.
BONATTI, Ch; DÍAZ, L. J. Fragile cycles. Journal of Differential Equations, v. 252, p. 4176-4199, 2012.
BONATTI, Ch; DÍAZ, L. J.; KIRIKI, S. Stabilization of heterodimensional cycles. Nonlinearity, v. 25, p. 931-960, 2012.
CRAIZER, M. Singularities of convex improper affine maps. Journal of Geometry, v. 103, p. 207-217, 2012.
CRAIZER, M.; LEWINER, Thomas; TEIXEIRA, R. C. Cauchy problems for discrete affine minimal surfaces. Archivum Mathematicum, v. 48, p. 1-14, 2012.
CRAIZER, M.; TEIXEIRA, R. C.; SILVA, M. A. H. B. Affine properties of convex equal-area polygons. Discrete & Computational Geometry, v. 48, p. 580-595, 2012.
DÍAZ, L. J.; FISHER, T.; VIEITEZ, J. Entropy-expansiveness for partially hyperbolic diffeomorphisms. Discrete and Continuous Dynamical Systems. Series A, v. 32, p. 4195-4207, 2012.
DÍAZ, L. J.; GELFERT, K. Porcupine-like horseshoes: Transitivity, Lyapunov spectrum, and phase transitions. Fundamenta Mathematicae, v. 216, p. 55-100, 2012.
SÁ EARP, R.; NELLI, Barbara; GUIMARÃES, M. F. E. Existence of vertical ends of mean curvature 1/2 in H2 × R. Transactions of the American Mathematical Society, v. 364, p. 1179-1191, 2012.
SALDANHA, N. C.; SHAPIRO, B. Spaces of locally convex curves in S^n and combinatorics of the group B^+_{n+1}. Journal of Singularities, v. 4, p. 1-22, 2012.
SIRAKOV, B. Existence and regularity results for fully nonlinear equations with singularities. Mathematische Annalen, v. 354, p. 377-400, 2012.
SIRAKOV, B.; ARMSTRONG, S. N.; SMART, C. Singular solutions of fully nonlinear elliptic equations and applications. Archive for Rational Mechanics and Analysis, v. 205, p. 345-394, 2012.
SIRAKOV, B.; JEANJEAN L. Existence and multiplicity for elliptic problems with quadratic growth in the gradient. Communications in Partial Differential Equations, v. 38, p. 244-264, 2012.
TOMEI, C.; CAL NETO, J. T. Numerical analysis of semilienar elliptic equations with finite spectral interaction. Journal of Mathematical Analysis and Applications, v. 395, p. 63-77, 2012.
TOMEI, C.; TELES, E. The geometry of finite difference discretizations of semilinear elliptic operators. Nonlinearity, v. 25, p. 1135-1154, 2012.