Department of
Mathematics and Statistics

University of
Konstanz
 
Research Group in Real Algebraic Geometry > Prof. Dr. S. Kuhlmann > Staff > Moritz Schick

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Research

Key words representing my main research interests: nonnegative polynomials, Hilbert's 17th problem, Hilbert's 1888 Theorem, sums of squares (SOS), sums of nonnegative circuit polynomials (SONC), sparse polynomials, polynomial optimization, semidefinite programming (SDP), relative entropy programming (REP).

PhD project

The Convex Cone of Sums of Squares plus Sums of Nonnegative Circuit Polynomials (SOS+SONC) (since October 2020)
Supervisor: Prof. Dr. Salma Kuhlmann, University of Konstanz
Co-supervisor: Dr. Mareike Dressler , University of New South Wales (UNSW), Sydney, Australia

Theses

Master's thesis

Title Sum of Squares Representations of Convex Quarternary Quartics and Ternary Sextics
Language English
Published in KOPS
URI (citable link) http://nbn-resolving.de/urn:nbn:de:bsz:352-2-c2ktrauqawrq1
Supervisor Prof. Dr. S. Kuhlmann

Bachelor's thesis

Title Surreale Zahlen
Language German
Published in KOPS
URI (citable link) http://nbn-resolving.de/urn:nbn:de:bsz:352-2-2w9l1j8hhgzp3
Supervisor Prof. Dr. S. Kuhlmann



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