Enrico Savi

• Ph.D in Mathematics, University of Trento, 2019-2022. Thesis: “Global and Local ℚ-algebrization problems in real algebraic geometry”. Thesis defense: May 10, 2023.
• Master Degree in Mathematics, curriculum "Advanced Mathematics - Algebra and Geometry", University of Trento, 2017-2019. Thesis: "Semi-algebriac Sets: geometric properties induced by stratifying families of polynomials and model theoretical applications on real closed extensions".
• Bachelor Degree in Mathematics, University of Trento, 2014-2017. Thesis: "Omologia di un complesso simpliciale: definizione, proprietà e metodo di calcolo per complessi simpliciali finiti."

Teaching Activities: (in inverse chronological order)

• Assistant for the course Geometria B - I modulo (Bachelor Degree in Mathematics), Department of Mathematics, University of Trento. Academic years: 2020/21, 2021/22 and 2022/23.
• Assistant for the course Geometria Differenziale (Bachelor Degree in Mathematics), Department of Mathematics, University of Trento. Academic years: 2019/20, 2020/21, 2021/22 and 2022/23.
• Assistant for the course Fondamenti Matematici per l'Informatica (Bachelor Degree in Informatics), Department of Information Engineering and Computer Science, University of Trento. Academic years: 2019/20, 2020/21 and 2021/22.
• Tutor for the course Algebra A (Bachelor Degree in Mathematics), Department of Mathematics, University of Trento. Academic years: 2018/19.
• Tutor for the courses Analisi A (Bachelor Degree in Mathematics), Department of Mathematics, University of Trento. Academic years: 2018/19 and 2019/20.
• Tutor for the course Analisi 1 (Bachelor Degree in Physics), Department of Physics, University of Trento. Academic years: 2018/19 and 2019/20.

My research interests are mostly focused on real algebraic geometry, in particular on the topology of real algebraic sets. I am also interested in semi-algebraic and Nash geometry, subanalytic geometry and applications of model theory in those fields.

I am trying to find models defined over rational numbers of some classes of real algebraic sets, Nash sets and germs of analytic sets.

Preprint:

1. “Embedded ℚ-desingularization of real Schubert varieties and application to the relative ℚ-algebrization of nonsingular algebraic sets”, Enrico Savi, arXiv:2302.04673 (2023).
2. “The topology of real algebraic sets with isolated singularities is determined by the field of rational numbers”, Riccardo Ghiloni and Enrico Savi, arXiv:2302.04142 (2023).
3. “On the degree of global smoothing mappings for subanalytic sets”, Enrico Savi, arXiv:2210.06841 (2022).

GNSAGA (Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni - INDAM), section: Geometria algebrica e algebra commutativa (Algebraic geometry and commutative algebra).

I take part in the INdAM Project “Theory of hypercomplex functions and applications”.

Conferences I attended:

• “Birational geometry and regolous functions”, Le Croisic, France, Jun. 5-9, 2023.
• “Mini school: Real and comeplex biratinoal geometry”, Dipartimento di Matematica "F. Enriques" - Università degli Studi di Milano, Milano, May 15-17, 2023.
• “Incontro Nazionale di Analisi Ipercomplessa”, Università di Firenze, Firenze, Dec. 19, 2022.
• “Real Aspects of Geometry”, CIRM, Luminy (Marseille), France, Oct. 31  - Nov. 4, 2022.
• “Real Algebraic Geometry”, CIRM, Luminy (Marsiglia), France, Oct. 24-28, 2022.
• “Young Researchers Meeting in Algebra and Geometry 2022”, SISSA, Trieste, Sept. 28-30, 2022.
• “Real Algebraic Geometry and Singularities, conference in honor of Wojciech Kucharz's 70th birthday”, Department of Mathematics, Jagiellonian University, Krakow (Poland), Sept. 12-17, 2022.
• “100 years of the Unione Matematica Italiana and 800 years of the University of Padova”, Department of Mathematics “Tullio Levi-Civita”, Padua, May 23 -27, 2022.
• “Unifying Themes in Geometry”, Lake Como School of Advanced Studies, Como, Sept. 27 - 30, 2021 (online).
• “Real and complex Manifolds. The mathematical heritage of Edoardo Vesentini”, Scuola Normale Superiore di Pisa, Pisa, Italy, Jun. 29 - Jul. 2, 2021 (online).
• “GO 60”, CIRM, Levico (TN), Italy, Jun. 21-25, 2021 (online).
• “O-minimality and foliations”, CIRM, Marseille, May 31 - Jun. 4, 2021 (online).
• “Real Algebraic Geometry”, CIRM, Marseille, Apr. 20-24, 2020 (Cancelled due to Covid-19).
• “A journey through projective and birational geometry - Together with Marco Andreatta”, Aula Tognoli, Polo Ferrari - Povo, via Sommarive 5, Trento, Jan. 7-11, 2019.

Seminars:

• “(Real) ℚ-algebraic geometry”, seminar cycle “BabyGeometri”, Pisa, Italia, Jun. 12, 2023.
• “(Real) ℚ-algebraic geometry”, seminar cycle “Doc in Progress”, Trento, Italia, Apr. 20, 2023.
• “The topology of real algebraic sets with isolated singularities is determined by the field of rational numbers”, during the conference: “Real Algebraic Geometry and Singularities, conference in honor of Wojciech Kucharz's 70th birthday”, Department of Mathematics, Jagiellonian University, Krakow (Poland), Sept. 15, 2022.
• “The topology of real algebraic sets with isolated singularities is determined by the field of rational numbers”, First UMI meeting of Ph.D. students, Department of Mathematics “Tullio Levi-Civita”, Padua, May 27, 2022.
• “Algebraic approximation techniques over Q”, seminar of the cycle “Doc in Progress”, Trento, Italy, Nov. 24, 2021.
• “Slice regular functions on real alternative algebras”, webinar for the course “Funzioni di una variabile complessa e ipercomplessa”, Florence, Italy, May 25, 2021.
• “Tognoli's theorem”, webinar of the cycle “BabyGeometri”, Pisa, Italy, Apr. 28, 2021.
• “What is… a semi-algebraic set”, webinar, Trento, Italy, Apr. 20, 2021.
• “What is… the Nash conjecture”, webinar, Trento, Italy, Nov. 28, 2020.

Poster:

• “The topology of real algebraic sets with isolated singularities is determined by the field of rational numbers”, durante la conferenza “Real Algebraic Geometry”, CIRM, Luminy (Marsiglia), France, Oct. 25, 2022.

Organizer for the seminar cycle “Doc in Progress” of the University of Trento by Sept. 2020 to Jan. 2022.

Everyone is wellcome to partecipate and to hold a seminar, in these cases please send me an e-mail.

Link of the dedicated website:

https://docinprogressunitn.wordpress.com.

Link to my personal website:

https://enricosavi95.wixsite.com/enrico-savi-s-webpag.