学界招聘|巴西圣保罗大学招募博士后(应用工业数学模型和计算数学方向）

The University of Stuttgart represents outstanding, world-renowned research and first-class teaching in one of Europe's most dynamic industrial regions. As a reliable employer, the university supports and promotes the academic careers of its researchers. It is proud of its employees, who currently come from over 100 different countries. The university is a partner for knowledge and technology transfer and focuses on multidisciplinarity.

Our research and teaching address a wide range of directions in modern applied mathematics: Mathematical modelling, applied analysis, stochastic techniques and scientific computing provide the theoretical and practical background to understand, predict and optimise highly complex processes in engineering, life, social and natural sciences. Numerical simulation has become the key technology to address these core questions of the University’s scientific and strategic orientation.

Our research involves developing, analyzing and implementing new numerical techniques in both problem-specific and more fundamental settings, and we are equally interested in multidisciplinary applications and theoretical foundations, connecting engineering, natural and computer sciences. We are involved in various national, international and industrial collaborations.

The Center for Mathematical Sciences Applied to Industry (CEPID- CeMEAI) has a post-doc position available. The requirements are described below. The salary is R$8.479,20 per month tax free. The appointed Post-doc can also get return travel from his/her country to Brazil paid by the grant. The positions are initially for one year, renewable for a second year pending on suitable performance.

Post-Doctoral Research Project 

University of Sao Paulo at Sao Carlos

ICMC - Department of Applied Mathematics and Statistics 

Location: Sao Carlos - Sao Paulo State- Brazil 

Title: Normal Forms and Sparse Reconstruction for Networks 

Supervisor: Tiago Pereira

A network encodes a structure of individual units (the nodes), together with the information of how these units depend on each other. We project focus on qualitative changes in the dynamics of networks as one or more parameters vary. One can, for example, think about the emergence of steady state points or periodic orbits, or the phenomenon whereby multiple cells in a network start displaying identical dynamical behaviour (synchronisation).  Due to the nature of network structures, the symmetries are often more "exotic" than compact groups; equivariance of a dynamical system will often mean with respect to the action of a finite monoid (i.e. a group without inverses) and the representations in question will often be of semigroups. The project deals with such normal form reduction to understand how collective dynamics appear with such systems. When data is collected from such networks recent evidence suggest that if one aims to enforce sparsity of the reconstruction only the normal form of the network can be recovered. In this case, the normal form may be a hypergraph instead of a network. This project envision to classify these reconstruction

scenarios.  The successful applicant will participate of a collaborative effort being developed by the Brazilian team headed by Prof. Tiago Pereira. A doctoral degree in Applied Mathematics, Engineering or a related area is required, together with strong background on dynamical reduction techniques, such as normal form theory, Lyapunov-Smith reduction and center manifold reduction. Candidates with proven skills in performing independent scientific research and in programming for high performance computing environments will be preferred.