Current position

Professor, ISMC-SUP, São Carlos, Brazil.

Previous Appointments

• Reader, University of Durham, United Kingdom

• Associate Professor, Instituto de Ciências Matemáticas e de Computação, University of São Paulo (ICMC-USP), São Carlos, Brazil

• Scientific Developer, Knowledge Support Systems, Manchester, UK

• Researcher in Mathematics, Silsoe Research Institute (agricultural), Bedford, UK

• Research Associate (with J.W. Bruce and P. J. Giblin), Department of Mathematics, University of Liverpool, UK

• Research Assistant (with A.A. du Plessis), Department of Mathematics, Aarhus University, Denmark

Degrees

• Post-Graduate Certificate in Education, Manchester Metropolitan University, UK

• Livre Docência, ICMC-USP, Brazil

• Ph.D (supervisor P. J. Giblin), The University of Liverpool, UK

• Diplome d'Etudes Supérieures in Mathematics, Université des Sciences et de la Technologie, Algiers, Algeria

• Baccalaureat in Mathematics, Lycée Amara Rachid, Algiers. Also, Lycée El-Hammadia, Bejaia (see main picture).

Post-docs

• G. Reeve, The Minkowski Symmetry Set and skeletal structures. ICMC-USP, FAPESP. November 2012-October 2014.

• L. S. Challapa, Invariants of partitial differential equations. ICMC-USP, March 2012 -- March 2013 CAPES

• L. F. Martins, On the geometry of caustics. Durham University, October 2008 -- July 2009. FAPESP

• A. C. Nabarro, Geometry of Lorentzian surfaces. Durham University, February-July 2009. FAPESP

PhD Students

• Jorge Luiz Deolindo Silva, On the geometry of surfaces in R⁴, current.

• Mostafa Salarinoghabi, Invariant of plane curves, current.

• Amani Saloom, Curves in the Minkowski plane and Lorentzian surfaces. Durham University, 2012. http://etheses.dur.ac.uk/4451/

• Joseph Michael Oliver: Pairs of geometric foliations on regular and singular surfaces. Durham University, 2010. http://etheses.dur.ac.uk/280/

• Lizandro Sanchez Challapa: Indice de equações diferenciais binarias (co-supervisor). ICMC-USP, 2006.

• Ana Claudia Nabarro : Sobre a geometria de hipersuperfícies em R⁴. ICMC-USP, 2000.

• Regilene Delazari dos Santos Oliveira: Sobre pares de 1-formas diferencias no plano. ICMC-USP, 2000.

• Victor Hugo Jorge Pérez: Equisigularidade e trivialidade topologica de germes de aplicações de C³--> C³. ICMC-USP, 1999.

Msc Students

• Xiaogeng Wang, Lines of curvatures and umbilics, 2011.

• Sahar Albosai, Envelopes, 2011.

• A. AL-Johani, Thom Transversality Theorems, 2010.

• S. Rathnayaka Mudiyanselage, Asymptotic curves on surfaces in the $\mathbb R^3$, 2010.

• M. J. Akthar, Cubic curves in PC^2, 2007.