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Research

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Research interests
Applied and Computational Algebra, Real Algebraic Geometry, Dynamical Systems in Biology, Mathematical Education.

Publications
  • A. Nolla, R. Muñoz, A. Iosif, L. Ananiadi. Elementary mathematics teacher education programs in Greece, Romania, and Spain (2024). International Electronic Journal of Mathematics Education 19(4).
  • A. Desoeuvres, A. Iosif, C. Lüders, O. Radulescu, H. Rahkooy, M. Seiß, T. Sturm. A Computational Approach to Polynomial Conservation Laws (2024). SIAM Journal on Applied Dynamical Systems 23(1). arXiv link.
  • A. Desoeuvres, A. Iosif, C. Lüders, O. Radulescu, H. Rahkooy, M. Seiß, T. Sturm. Reduction of Chemical Reaction Networks with Approximate Conservation Laws (2024). SIAM Journal on Applied Dynamical Systems 23(1). arXiv link.
  • D. Grigoriev, A. Iosif, H. Rahkooy, T. Sturm, A. Weber. Efficiently and Effectively Recognizing Toricity of Steady State Varieties (2021). Mathematics in Computer Science 15. arXiv link.
  • A. Iosif. Elementos de la teoría de conjuntos en la educación secundaria española con aplicaciones al bloque de funciones de 3º de ESO de enseñanzas académicas: una perspectiva filosófica y socio–crítica (2021). Tesina MESOB, Universidad Autónoma de Madrid.
  • C. Conradi, A. Iosif, and T. Kahle. Multistationarity in the space of total concentrations for systems that admit a monomial parametrization (2019). Bulletin of Mathematical Biololgy 81(10). arXiv link.
  • A. Iosif. Algebraic Methods for detecting multistationarity in mass-action networks (2019). PhD Thesis, Otto-von-Guericke-Universität Magdeburg.

    Other documents (research projects, work in progress, &c.)
  • The scalar orbit of the virtual Kähler-Ricci flow.
  • Attractors of toric MESSI Systems with no Swap.
  • Duality in mass-action networks.
  • A few aspects of mass-action sheaves.
  • Analysis of the Conradi-Kahle algorithm for detecting binomiality on biological models (with Hamid Rahkooy.)
  • I have computed, in Maple, a discriminant variety for the dual site phosphorylation network. If I am not wrong, this is the first time a full discriminant for this system is given. At some point I might write a paper about how to use the naïve Tarski-Seidenberg Algorithm to compute such discriminants for linear sections of positive toric varieties. Link here.