Enrico Savi

• 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."
• 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".

Academic Career:

• PhD student of the XXXV cycle at the Department of Mathematics of the University of Trento.

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: 2020/2021 and 2021/2022.
• Assistant for the course Geometria Differenziale (Bachelor Degree in Mathematics), Department of Mathematics, University of Trento. Academic years: 2019/2020, 2020/2021 and 2021/2022.
• 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: 2019/2020, 2020/2021 and 2021/2022. 
• Tutor for the course Algebra A (Bachelor Degree in Mathematics), Department of Mathematics, University of Trento. Academic years: 2018/2019.
• Tutor for the courses Analisi A (Bachelor Degree in Mathematics), Department of Mathematics, University of Trento. Academic years: 2018/2019 and 2019/2020.
• Tutor for the course Analisi 1 (Bachelor Degree in Physics), Department of Physics, University of Trento. Academic years: 2018/2019 and 2019/2020.

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 geometry, Nash geometry and applications of model theoretical notions on the study of real algebraic geometry and semi-algebraic geometry over arbitrary real closed 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:

“On the degree of global smoothing mappings for subanalytic sets”, Enrico Savi, https://arxiv.org/abs/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:

• “Real Aspects of Geometry”, CIRM, Luminy (Marseille), France, 31 October - 4 November 2022.
• “Real Algebraic Geometry”, CIRM, Luminy (Marsiglia), France, 24 - 28 October 2022.
• “Young Researchers Meeting in Algebra and Geometry 2022”, SISSA, Trieste, 28-30 September 2022.
• “Real Algebraic Geometry and Singularities, conference in honor of Wojciech Kucharz's 70th birthday”, Department of Mathematics, Jagiellonian University, Krakow (Poland), 12-17 September 2022.
• “100 years of the Unione Matematica Italiana and 800 years of the University of Padova”, Department of Mathematics “Tullio Levi-Civita”, Padua, 23rd -27th May, 2022.
• “Unifying Themes in Geometry”, Lake Como School of Advanced Studies, Como, 27 - 30 September 2021 (online).
• “Real and complex Manifolds. The mathematical heritage of Edoardo Vesentini”, Scuola Normale Superiore di Pisa, Pisa, Italy, 29th June - 2nd July, 2021 (online).
• “GO 60”, CIRM, Levico (TN), Italy, 21st-25th June, 2021 (online).
• “O-minimality and foliations”, CIRM, Marseille, 31st May - 4th June, 2021 (online).
• “Real Algebraic Geometry”, CIRM, Marseille, April 20th-24th, 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, January 7th-11th, 2019.

Seminars:

• “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), 15 September 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, 27th May, 2022.
• “Algebraic approximation techniques over Q”, seminar of the cycle “Doc in Progress”, Trento, Italy, 24th November, 2021.
• “Slice regular functions on real alternative algebras”, webinar for the course “Funzioni di una variabile complessa e ipercomplessa”, Florence, Italy, 25th May, 2021.
• “Tognoli's theorem”, webinar of the cycle “BabyGeometri”, Pisa, Italy, 28th April, 2021.
• “What is… a semi-algebraic set”, webinar, Trento, Italy, 20th April, 2021.
• “What is… the Nash conjecture”, webinar, Trento, Italy, 28th November, 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, 25 October 2022.

Organizer for the seminar cycle “Doc in Progress” of the University of Trento by September 2020.

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