I am interested in the applications of Real Algebaric Geometry, Discrete Geometry and Optimization to science and engineering.

I have studied the theory of Sums of Nonnegative Circuit (SONC) Polynomials and their applications to the biochemical reaction networks during my Ph.D. research.

My M.Sc. project was on complex polynomials and hyperbolic geometry. Namely, I have studied the analogous results of Gauss-Lucas Theorem in Hyperbolic Geometry. You can ask for an electronic copy of my M.Sc. and Ph.D. work via e-mail.

   

Publications

  1. "The Kinetic Space of Multistationarity in Dual Phosphorylation"
    with E. Feliu, N. Kaihnsa, and T. de Wolff; to appear in the Journal of Dynamics and Differential Equations; published electronically on Sep. 04, 2020; doi: 10.1007/s10884-020-09889-6; see ArXiv 2001.08285
  2. "Initial Steps in the Classification of Maximal Mediated Sets"
    with J. Hartzer, O. Röhrig and T. de Wolff; to appear in the Journal of Symbolic Computation; published electronically on July 08, 2020; doi: 10.1016/j.jsc.2020.07.013; see ArXiv 1910.00502

Preprints

  1. "Nonlinear Algebra and Applications"
    with P. Breiding, T.Ö. Çelik, T. Duff, A. Heaton, A. Maraj, A.-L. Sattelberger, L. Venturello; see ArXiv 2103.16300


Last Update: March 31, 2021