Helen Naumann
Research assistant and PhD Student of Prof. Dr. Thorsten Theobald.
Research
Articles
- The dual cone of sums of nonnegative circuit polynomials, with M. Dressler and T. Theobald, to appear in Advances in Geometry; see arXiv:1809.07648.
- A unified framework of SAGE and SONC polynomials and its duality theory, with L. Katthän and T. Theobald, to appear in Math. of Computation; see arXiv:1903.08966
- Global Optimization via the Dual SONC Cone and Linear Programming, with M. Dressler, J. Heuer and T. de Wolff, Proceedings of ISSAC 2020; see arXiv:2002.09368
- The S-cone and a primal-dual view on second-order representability, with T. Theobald, to appear in Beiträge zur Algebra und Geometrie; link to online published version; see also arXiv:2003.09495
- The X-circuits Behind Conditional SAGE Certificates, with R. Murray and T. Theobald, arXiv:2006.06811
Research Interests
- Optimization
- Real Algebraic Geometry
- Nonnegativity of Polynomials
Talks and Posters
- 'Global Optimization via the Dual SONC Cone and Linear Programming' (pre-recorded talk), ISSAC 2020, Kalamata, Greece, July 21, 2020
- 'Polyhedra and Signomial Optimization' (pre-recorded talk), ICMS 2020, Braunschweig, Germany, July 15, 2020
- 'Der S-Kegel und primal-duale Darstellbarkeit als Kegel zweiter Ordnung' (seminar talk via Vidyo in german), AG/Oberseminar Diskrete Mathematik, Geometrie und Optimierung at Goethe-Universität, Frankfurt/Main, Germany, May 26, 2020
- 'A unified framework of SAGE and SONC polynomials and its duality theory' (poster), Women in Algebra and Symbolic Computations, Bad Dürkheim, Germany, December 9-11, 2019
- 'Counting real roots of univariate polynomials' (seminar talk), Ginkgo-Seminar at Goethe-Universität, Frankfurt/Main, Germany, November 27, 2019
- 'The dual cone of sums of nonnegative circuit polynomials' (talk), MEGA 2019 at Universidad Complutense de Madrid, Spain, June 20, 2019
- 'A unified framework of SAGE and SONC polynomials and its duality theory' (poster), Workshop on Applied Algebra at Technische Universität Braunschweig, Germany, June 7-8, 2019
- 'The dual cone of sums of nonnegative circuit polynomials' (talk), Arctic Applied Algebra at University of Tromsø, Norway, April 01, 2019
Teaching
Winter term 2020/2021
- Tutorial for "Konvexe Optimierung", lecturer: T. Theobald
- Seminar for "Reelle Polynome und Optimierung"
Summer term 2020
- Tutorial for "Optimierung", lecturer: T. Theobald
Winter term 2019/2020
- Tutorial for "Symbolisches Rechnen und Gröbnerbasen", lecturer: T. Theobald, Announcement
- Seminar for "Diskrete und Algorithmische Mathematik", Announcement
Summer term 2019
- Seminar for "Mathematische Spieltheorie", Announcement