Research

Research interests

My main field of research is real algebraic geometry with applications to different subjects such as singularity theory, (applied) model theory, hypercomplex analysis and geometry.

See the next section for publications and ongoing projects.

Publications

E. Savi, "Algebraic realization of stable Poincaré-Reeb graphs". 17 pag. arXiv:2602.18780 (2026)
R. Ghiloni, E. Savi, "The Nash-Tognoli theorem over the rationals and its version for isolated singularities", 55 pag. arXiv:2302.04142 (2025).
E. Savi, "On the first order theories of quaternions and octonions", to appear in: Ann. Mat. Pur. Appl. (4), 20 pag. (2026), (arXiv version).
E. Savi, "A relative Nash-Tognoli theorem over ℚ and application to the ℚ-algebraicity problem", Adv. Math. 46 pag. (2026), (arXiv version).
E. Savi, "On the degree of global smoothing mappings for subanalytic sets", Eur. J. Math. 6 pag. (2024), (arXiv version).

Ongoing projects

A. Parusinski, E. Savi, "ℚ‐Algebraic models of real isolated singularities in families". (in progress...)
J-B. Campesato, J-P. Monnier, E. Savi, "Continuous constructible functions in real algebraic geometry". (in progress...)
E. Savi, "Invariance under field extension of resolution of singularities". (in progress...)
E. Savi, "ℚ‐Algebraic model of Teissier's example". (in progress...)