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Research

Research interests

My field of research is Real Algebraic Geometry, in particular, the topology of real algebraic sets. During my Ph.D., I mainly focused on the following open problem: Is every real algebraic set (semialgebraically) homeomorphic to a real algebraic set described by polynomial equations over ℚ?

I am also interested in semialgebraic and Nash geometry, analytic and subanalytic geometry, singularity theory, (applied) model theory and hypercomplex analysis.

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Publications

  1. Riccardo Ghiloni, Enrico Savi, "ℚ‐Algebraicity of real and complex analytic singularities". (in progress...)

  2. Enrico Savi, "Algebraic realization of stable Poincaré-Reeb graphs". (in progress...)

  3. Enrico Savi, "On the first order theories of quaternions and octonions​", arXiv:2404.04976 (2024).

  4. Enrico Savi, "Embedded ℚ‐desingularization of real Schubert varieties and application to the relative ℚ‐algebraicity problem", arXiv:2302.04673 (2023).

  5. Riccardo Ghiloni, Enrico Savi, "The topology of real algebraic sets with isolated singularities is determined by the field of rational numbers", arXiv:2302.04142 (2023).

  6. Enrico Savi, "On the degree of global smoothing mappings for subanalytic sets", Eur. J. Math. (2024).



 

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