Doctoral student fellowship
- salary TV-L E 13/2 -
for 3 years starting in June 2011.
The aim of the thesis is to progress in the THEORY of Polynomial Optimization by solving fundamental questions arising in PRACTICE. The student should therefore have a strong background in algebra and geometry and be able and willing to implement optimization problems using systems for symbolic and numeric computation.
Polynomial Optimization Problems are optimization problems with a polynomial goal function and polynomial inequality constraints. In recent years, methods from Real Algebraic Geometry (sums of squares) and Functional Analysis (truncated moment problem) have been refined in a way that allows to translate a Polynomial Optimization Problem into an equivalent or at least approximating Semidefinite Program.
There is a teaching load of two hours per week attached to the position. Teaching can be done in German or English.
Applications should be sent electronically to:
m.s@uni-konstanz.de
where m.s should be replaced by markus.schweighofer.
Applications received by April 18, 2011, will receive full consideration. However, later applications may be considered as well until the positions have been filled.
Binational doctoral studies with two thesis advisors are conceivable. At least one of the advisors should be Markus Schweighofer.
Links:
Polynomial Optimization:
http://homepages.cwi.nl/~monique/files/moment-ima-update-new.pdf
Konstanz
http://en.wikipedia.org/wiki/Konstanz
Universität Konstanz
http://www.uni-konstanz.de/
Research group
http://cms.uni-konstanz.de/math/schwerpunkt-reelle-geometrie-und-algebra/mitglieder/
Markus Schweighofer
http://www.math.uni-konstanz.de/~schweigh/index.html
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