Co-editor Sigma 2025 : Special Issue on Integrability, Geometry and Moduli with S. Rayan, G. Borot and D. Zagier.
(in progress) Co-editor: "Advances in Complex Lagrangians, Integrable Systems and Quantization" with L. Schaposnik, M. Mulase and J. Sawon.
Preprints
31. On Nearly Frobenius structures, with William Davis (preprint 2025).
30. Birational geometry of blow-ups via Weyl chamber decompositions and actions on curves, with C. Brambilla, E. Postinghel and L. Santana-Sanchez (preprint 2024).
29. Coxeter theory for the blowups of P^r, with R. Miranda (under review)
28. On divisorial (i) classes, with N. Priddis (under review)
Published
27. Duality and polyhedrality of cones for Mori Dream Spaces, with C. Brambilla, E. Postinghel and L. Santana-Sanchez,
Mathematische Zeitschrift, Volume 309, 69, (2025).
26. On (i)-curves in blowups of P^r, with R. Miranda, Advanced Algebraic Geometry and Applications, Mathematics, vol. 12, issue 24, 2024.
25. 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, issue 2, 599-618, 2023.
24. 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.
23. 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.
22. From the Hitchin section to opers through Nonabelian Hodge, with L. Fredrickson, G. Kydonakis, R. Mazzeo, Mmulase A. Neitzke,
Journal of Differential Geometry, Vol. 117, No. 2, 2021, 223 - 253 .
21. Interplay between opers, quantum curves, WKB analysis, and Higgs bundles, with MMulase journal version here
SIGMA 17 (2021), 036, Symmetry, Integrability and Geometry: Methods and Applications,
20. Mirror curve of orbifolds Hurwitz numbers, with Mulase journal version in Rev. Roumaine Math. Pures Appl., Vol. 66, No. 1, 2021
19. 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.
18. An observation on (-1)-curves on rational surfaces, with B. Osserman, Proceedings of American Math. Society 147 (4), 1391 - 1398, 2019.
17. Quantization of spectral curves for meromorphic Higgs bundles through topological recursion, with MMulase journal version here
Proceedings of the von Neumann Symposium 100, 179 - 230, American Mathematical Society 2018.
16. Positivity of divisors on blown-up projective spaces, II with E. Postinghel, Journal of Algebra, vol. 529, 226 - 267, 2019.
15. Edge contraction on dual ribbon graphs and 2D TQFT, with MMulase- online journal version here, Journal of Algebra, vol. 494, 1 - 27, 2018 .
14. Vanishing theorems for linearly obstructed divisors, with E. Postinghel, Journal of Algebra (40 pages), vol. 477, 312 - 359, 2017 (here).
13. 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.
12. Quantum curves for Hitchin fibrations and the Eynard-Orantin theory, with M. Mulase, Letters in Mathematical Physics, vol. 104, no 6, 635 - 671, 2014.
11. An invitation to 2D TQFT and quantization of Hitchin spectral curves, with M. Mulase, Banach Center Publications 114, 85 - 144, 2018 .
10. Lectures on the topological recursion for Hitchin spectral curves and quantization, with MMulase, 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 B. Safnuk M. Mulase 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.
Bull. Belg. Math. Soc. Simon Stevin, vol 16, 1 - 28, 2009.
Other works
i). Techniques in Interpolation Problems, Ph.d Thesis.
ii). From cellular graphs to topological quantum field theories, in Mathematisches Forschungsinstitut Oberwolfach No. 9/2016, DOI: 10.4171/OWR/2016/9 Report.
iii). Japanese Enlarge Edition An invitation to 2D TQFT and quantization of Hitchin spectral curves with M. Mulase in Proceedings of the 15th Oka Symposium (2017, 53 pages)