Goethe-Universität

Helen Naumann

Research assistant and PhD Student of Prof. Dr. Thorsten Theobald.

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; see the online published version
Sublinear circuits and the constrained signomial nonnegativity problem, with R. Murray and T. Theobald, arXiv:2006.06811

Research Interests

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
'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
'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

Winter term 2020/2021

Summer term 2020

Winter term 2019/2020

Tutorial for "Symbolisches Rechnen und Gröbnerbasen", lecturer: T. Theobald, Announcement
Seminar for "Diskrete und Algorithmische Mathematik", Announcement

Summer term 2019