In our Project A01 of SFB/TRR388 we will develop the well-posedness theory for energy solutions further, concentrating among others on nite-dimensional model problems with more structure for which we hope to treat some scaling supercritical cases. We will study large scale properties of singular dynamics, focusing on the stochastic homogenization of non-symmetric SDEs and of periodic KPZ type equations, among others. So far, energy solutions are mainly based on infinite-dimensional analogues of classical energy estimates, and a key goal of our project is to explore dissipative effects of Burgers nonlinearities in the infinite-dimensional setting of the Fock space. We will also study the well-posedness, non-Gaussianity on mixed scales and Gaussianity on large scales of some critical and supercritical singular SPDEs.

The employment provides the opportunity for a doctorate.

Requirements: 

Master's degree in Mathematics or nearby field, knowledge of stochastic analysis, as e.g. evidenced by relevant master's thesis. 

Remark: 

This is a position for a PhD student (75%) at MPI MIS Leipzig. The student will be working with Felix Otto (supervisor) and Nicolas Perkowski.

The Max Planck society strives for gender diversity. We welcome applications from all backgrounds and we explicitly encourage applications from women as well as from all others who would bring additional diversity dimensions to our institute. The Max Planck society is committed to increasing the number of individuals with disabilities in its workforce and therefore encourages applications from such qualified individuals.

Closing dates for applications for these positions are November 1st. Submissions of applications proceed through an electronic form. This form will be hosted by Opencampus.net, a German company, so while clicking to the links you will be directed to their server:
1. Start your application - registration
2. Continue your application, check status

Applicants have to indicate one or more possible Phd advisors among the scientific members. Please choose Felix Otto and Nicolas Perkowski if you are applying for this call. 

You will have to submit the following documents:

• CV,
• transcript of examination results,
• a copy of the master thesis (if applicable) and
• names and contact data of two or more academic teachers willing to write a letter of recommendation.

Applicants are asked to check that the recommendation letters have been uploaded by their referees also through the electronic form provided above before the corresponding closing date. For students who did not write a master thesis there are qualifying grants available as an entrance level to the research school. The decision of the selection committee will be communicated approximately six weeks after the closing dates.