Publications

• The non-existence of stable Schottky forms
  with N. Shepherd-Barron
  Compositio Mathematica, Volume 150, Issue 4. April 2014, pages 679-690

• Fano varieties in Mori Fibre Spaces
  with  A. Fanelli, R. Svaldi and L. Tasin
  Int. Math. Res. Notices, Volume 2016, Issue 7, pages 2026-2067

• Non-reductive automorphism groups, the Loewy filtration and K-stability
  with R. Dervan
  Annales de l’Institut Fourier,  Volume 66,  n. 5, 2016,  pages 1895-1921, Errata Corrige

• Hyperelliptic Schottky Problem and Stable Modular Forms
  Documenta Mathematica 21 , 2016

• The degree of the Gauss map of the theta divisor
  with S. Grushevsky and E. Sernesi
  Algebra and Number Theory, Vol 11, Issue 4, 2017, pages 983-1001 

• Tits buildings and K-stability
  Proceedings of the Edinburgh Mathematical Society, Volume 62, Issue 3, 2019, pages 799-815

• The blow-up of P4 at 8 points and its Fano model, via vector bundles on a degree 1 del Pezzo surface
  with C. Casagrande and A. Fanelli,
  Revista Matemática Complutense, Volume 32, Issue 2, 2019, pages 475-529

• The Gauss map and secants of the Kummar variety
  with R. Auffarth and R. Salvati Manni
  Bulletin of the London Mathematical Society ,  Volume 51, Issue 3, 2019, pages 489-500

• Moduli and Periods of Supersymmetric curves
  with F. Viviani
  Advances in Theoretical and Mathematical Physics, Volume 23 ,Number 2, 2019, pages 345-402

• Theta divisors whose Gauss map has fibers of positive dimension
  with R. Auffarth
  Journal of Algebra,Volume 548, 2020, pages 153-161

• Positivity of the CM line bundle for families of K-stable klt Fanos
  with Zs. Patakfalvi
  Inventiones Mathematicae , Volume 223, Number 3, pages 811-894, 2021

• On some modular contraction of the moduli space of stable pointed curves
  with L. Tasin and F. Viviani
  Algebra and Number Theory,  Vol. 15 (2021), No.4, 1245-1281

• Characterizing Jacobians via the KP equation and via flexes and degenerate trisecants to the Kummer variety: an algebro-geometric approach.
  with E. Arbarello and G. Pareschi
  Crelle's Journal, Volume 2021, Issue 777

• Semincontinuity of the Gauss map and the Schottky problem
  with T. Krämer
  Mathematische Annalen, 382,  607-630 (2022)

• On the first steps of the minimal model program for the moduli space of stable pointed curves
  with L. Tasin and F. Viviani
  Journal of the Institute of Mathematics of Jussieu, Volume 22 , Issue 1 , January 2023 , pp. 145 - 211

• Slope inequalities for KSB-stable and K-stable families
  with L. Tasin and F. Viviani
  Proceedings of the London Mathematical Society, Volume126, Issue4, April 2023, pp. 1394-1465

Agebraic Geoemtry conferences proceedings

• Pluri-Canonical Models of Supersymmetric Curves
  Perspective in Lie Theory,  Springer INdAM Series, vol 19, 2017 , pages  347-357

• A note on the fibres of Mori fibre spaces
  with A. Fanelli, R. Svaldi and L. Tasin
  Edge Volume, European Journal of Mathematics, 4, 2018, pages 859-878

• Torus equivaraint K-stability
  with J. Stoppa
  Moduli of K-stable varieties, Springer INdAM Series, vol 31, 2019, pages 15-35

• Vertex algebras and Teichmüller modular forms
  Oberwolfach Report 6, 2021

• A note on families of K-semistable log-Fano pairs
  with Zs. Patakfalvi
  submitted to the proceeding of the Moscow-Shanghai-Pohang conference “Birational Geometry, K¨ahler-Einstein metrics and Degenerations”

Cryptography conferences proceedings

• Supersingular curves you can trust
  with A. Basso, D. Connolly, L. De Feo, D. B. Fouotsa, G. M. Lido, T. Morrison, L. Panny, S. Patranabis and B. Wesolowski
  In: Hazay, C., Stam, M. (eds) Advances in Cryptology – EUROCRYPT 2023. EUROCRYPT 2023. Lecture Notes in Computer Science, vol 14005. Springer

Pre-Prints

• Vertex algebras and Teichmüller modular forms
  this article contains some mistakes, it will be corrected and updated soon.

• Isotrivitality of morphism with nef anti-canonical bundle
  Appendix to the paper "On the Beauville--Bogomolov decomposition in any characteristic"
  with Zs. Patakfalvi and M. Zdanowicz

• Rigidity of modular morphism via Fujita decomposition
  with V. Gonález-Alonso and S. Torelli

• Spectral Theory of Isogeny Graphs
  with G. Lido

Editorial activities:

• Moduli of K-stable varieties
  with R. Dervan and F. Viviani
  Springer INdAM series, volume 31, 2019

Publications about Mathematics Education

• The secret club of diverse triangles
  with F. Calimera
  Plus Magazine, 2015

• Il club segreto dei triangoli diversi e il problema dell'area
  with F. Calimera and A. Cristofanilli
  Maddmaths, 24 novembre 2016
  xlatangente, 2016

• Per dei laboratori di teatro e matematica
  with F. Calimera and A. Cristofanilli
  L'Insegnamento della Matematica e delle Scienze Integrate, Volume 43, Settembre 2020, Sezione A, pages 455-486

ORCID: https://orcid.org/0000-0002-4006-3060

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