Filippo Calderoni PhD in Pure and Applied Mathematics Università di Torino (unito) - Politecnico di Torino (PoliTO) Dipartimento di Matematica "Giuseppe Peano" My email is filippo.calderoni { at } unito.it Curriculum vitae |

I got the PhD in Pure and Applied Mathematics at the University of Turin and the Politechnic of Turin in 2018. My advisor is Prof. Luca Motto Ros. My research interests lie in Mathematical Logic and Descriptive Set Theory.

Papers

- The bi-embeddability relation for countable abelian groups (with S. Thomas).
**Trans. Amer. Math. Soc.**, 371 (2019), no. 3, pp. 2237 – 2254. [pdf]
DOI: 10.1090/tran/7513.

- The complexity of the embeddability between torsion-free abelian groups of uncountable size.
**J. Symbolic Logic**, 83 (2018), no. 2, pp. 703 – 716. [arXiv]
DOI: 10.1017/jsl.2018.9.

- Universality of group embeddability
(with L. Motto Ros).
**Proc. Amer. Math. Soc.**146 (2018), pp. 1765 – 1780.
DOI: 10.1090/proc/13857.

Thesis

- A descriptive view of the bi-embeddability relation. PhD Thesis, University of Turin (2018). pdf.

Preprints and notes

- Uncountable structures are not classifiable up to bi-embeddability (with H. Mildenberger and L. Motto Ros), submitted. [pdf]

- Invariant universality for quandles and fields (with A. Brooke-Taylor and S. Miller), submitted. [arXiv]

- Invariant universality for projective planes (with G. Paolini), preprint. [arXiv]

Teaching (in Italian)

Forthcoming Events