In progress:  Co-editor 2025: Advances in Complex Lagrangians,  Integrable systems and Quantization, with L. Schaposnik and M. Mulase

Co-editor Sigma 2021: Special Issue on Integrability, Geometry and Moduli (in honor of M. Mulase) 

Preprints 

In progress; Oxford lectures 2023

30.  Duality and polyhedrality of cones for Mori dream spaces, with C. Brambilla, E. Postinghel and L. Santana-Sanchez (2023, submitted)

29.  Coxeter theory for the blowups of P^r, with R. Miranda (2022, under review)

28.   On (i) curves in blowups of P^r   with R. Miranda, (2021 under review) to Maxim, 

27.  On divisorial (i) classes,  with N. Priddis, 

Published

26.  Positivity of divisors on blown-up projective spaces I,  with E. Postinghel, 

       Annali della  Scuola Normale Superiore di Pisa,  Classe di Scienze (5), volume XXIV 2023, issue 2, 599-618.

25.  Cremona Orbits in P^4 and Applications, with R. Miranda   

        Trends in Mathematics: "The Art of Doing Algebraic Geometry"  Springer, in honor of Ciro Ciliberto volume 2023, pages 161-185.

24. Weyl cycles on the blow up of P^4 at 8 points  with  M. C. Brambilla and E. Postinghel 

        Trends in Mathematics: "The Art of Doing Algebraic Geometry" Springer, in honor of Ciro Ciliberto volume 2023, pages 1-21.

23.  From the Hitchin section to opers through Nonabelian Hodge, with L. Fredrickson, G. Kydonakis, R. Mazzeo, M. Mulase and A. Neitzke, 

       Journal of Differential Geometry, Vol. 117, No. 2, 2021, 223 - 253 . 

22.  Interplay between opers, quantum curves, WKB analysis, and Higgs bundles, with M. Mulase,  (journal version here)

       SIGMA 17 (2021), 036,  Symmetry, Integrability and Geometry: Methods and Applications, 

21.  Mirror curve of orbifolds Hurwitz numbers, with M. Mulase in Rev. Roumaine Math. Pures Appl., Vol. 66, No. 1, 2021 (journal version)

20.  A journey from the Hitchin section to the oper moduli,  to Anthony. 

       Proceedings of Symposia in Pure Mathematics, Vol.98, String Math 2016, American Mathematical  Society, 2018,  107- 137.

19.  An observation on (-1)-curves on rational surfaces, with B. Osserman, Proceedings of American Math. Society 147 (4), 1391 - 1398, 2019.

18.  Quantization of spectral curves for meromorphic Higgs bundles through topological recursion, with M. Mulase, (here)  

        Proceedings of the von Neumann Symposium 100, 179 - 230, American Mathematical Society 2018.

17. Positivity of divisors on blown-up projective spaces, II  with E. Postinghel,   Journal of Algebra, vol. 529, 226 - 267, 2019.

16.  Edge contraction on dual ribbon graphs and 2D TQFT,  with M. Mulase,   Journal of Algebra, vol. 494, 1 - 27,  2018 (online version here).

15. Vanishing theorems for linearly obstructed divisors, with E. Postinghel,   Journal of Algebra (40 pages),  vol. 477,  312 - 359, 2017 (here).

14. On a notion of speciality of linear systems in P^n, with M. C. Brambilla & E. Postinghel, 

      Trans. Am. Math. Soc. vol. 367, no. 8, 5447 - 5473, 2015. 

13.  Quantum curves for Hitchin fibrations and the Eynard-Orantin theory, with M. Mulase, 

        Letters in Mathematical Physics, vol. 104, no 6, 635 - 671, 2014.

12.  An invitation to 2D TQFT and quantization of Hitchin spectral curves, with M. Mulase,   Banach Center Publications 114, 85 - 144, 2018 .

11. An invitation to 2D TQFT and quantization of Hitchin spectral curves ( Enlarged Japanese Edition), with M. Mulase in 

       Proceedings of the 15th Oka Symposium, 2017

10.  Lectures on the topological recursion for Hitchin spectral curves and quantization, with M. Mulase, in Lecture Notes Series, Institute (2018).        Math. Sciences, National University of Singapore, vol. 36, The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, 103 -198 

9.  Linear systems of P^3 with nine base points, with M. C. Brambilla and E. Postinghel, 

      Annali di Matematica Pura ed Applicata, (- 1923), vol. 195, no. 5, 1551 - 1574, 2016.

8.  On Segre's bound for fat points in P^n, with E. Ballico, E. Postinghel,   

      Journal of Pure and Applied Algebra,  vol. 220, no. 6,  2307 - 2323,  2015. 

7.  On the effective cone of P^n with n+3 points, with M. C. Brambilla and E. Postinghel, 

     Experimental Mathematics, vol. 25, no 4, 452 - 465, 2015.

6.  The Spectral Curve of the Eynard-Orantin Recursion via the Laplace Transform, with M. Mulase, B. Safnuk and A. Sorkin, 

      Algebraic and Geometric   Aspects of Integrable Systems and Random Matrices, Dzhamay, Maruno, Pierce. Contemporary Math.                   vol. 593, 263 - 315,  2013. 

5.  Cones of effective divisors on the blown-up projective space P^3 in general lines, with E. Postinghel and S. Urbinati,                     

     Rendiconti del Circolo Matematico di Palermo Series 2, vol. 66, Issue 2,  205 - 216, 2017 (online version  here).

4.  Plane curves with prescribed triple points: a toric approach,  Communications in Algebra, vol. 41,  no. 5, 1626 - 1635, 2013.

3.  Cones of Divisors of Blow-ups of projective spaces, with S. Cacciola, M. Donten-Bury, A. Lo Giudice and J. Park, 

     Le Matematiche, vol. 66, no. 2,  153 - 187, 2011.

2.  Emptiness of Homogeneous Linear Systems with Ten General Base Points, with C. Ciliberto, R. Miranda and J. Roe, 

     Classification of algebraic varieties-Schiermonnikoog 2009, 189 - 195, 2011.

1.  Degenerations of the Veronese and Applications, with C. Ciliberto and R. Miranda,  

Bull. Belg. Math. Soc. Simon Stevin, vol 16, 1 - 28, 2009.

Other works

i). Techniques in Interpolation Problems, Ph.d Thesis, to my father.

ii). From cellular graphs to topological quantum field theories, in Mathematisches Forschungsinstitut Oberwolfach No. 9/2016, DOI: 10.4171/OWR/2016/9 Report.