| 57. |  |
 |
(with G. Mondello, R. Salvati Manni, J. Tsimerman) |
Compact Subvarieties of the Moduli Space of Complex Abelian Varieties.
|
| 56. | |
|
(with S. Cacciatori, A. Voronov) |
Tree-Level Superstring Amplitudes: The Neveu-Schwarz Sector.
Journal
of High Energy Physics 2024 8, 32pp |
| 55. | |
|
(with S. Casalaina-Martin, K. Hulek) |
The birational geometry of moduli of cubic surfaces and cubic surfaces with a line.
Moduli, to appear.
|
| 54. | |
|
(with R. Salvati Manni) |
Moduli of abelian varieties near the locus of products of elliptic curves.
|
| 53. | |
|
(with D. Chen, D. Holmes, M. Möller, J. Schmitt) |
A tale of two moduli spaces: logarithmic and multi-scale differentials.
|
| 52. | |
|
(with T. Ibukiyama, G. Mondello, R. Salvati Manni) |
Differentiating Siegel modular forms, and the moving slope of Ag.
IMRN 2024 (4), 3442-3486. |
| 51. | |
|
(with S. Casalaina-Martin, K. Hulek, R. Laza) |
Non-isomorphic smooth compactifications of the moduli space of cubic surfaces.
Nagoya Journal 254 (2024), 315-365. |
| 50. | |
|
(with F. Benirschke, B. Dozier) |
Equations of linear subvarieties of strata of differentials.
Geometry & Topology 26 (2022) 6, 2773-2830. |
| 49. | |
|
(with K. Hulek) |
The cone of effective surfaces on A3.
Moscow Mathematical Journal 22 (2022) 4, 657-703. |
| 48. | |
|
(with M. Bainbridge, D. Chen, Q. Gendron, M. Möller) |
The moduli space of multi-scale differentials.
|
| 47. | |
|
(with S. Casalaina-Martin, K. Hulek, R. Laza) |
Cohomology of the moduli space of cubic threefolds and its smooth models.
Memoirs of the AMS 282 (2023) 1395.
|
| 46. | |
|
(with H. Farkas, R. Salvati Manni) |
An explicit solution to the weak Schottky problem.
Algebraic Geometry 8 (2021) 3, 358-373.
|
| 45. | |
|
(with I. Krichever, C. Norton) |
Real-normalized differentials: limits on stable curves.
Russian Math Surveys 74 (2019) 2, 265-324.
|
| 44. | |
|
(with K. Hulek, O. Tommasi) |
Stable Betti numbers of (partial) toroidal compactifications of the moduli space of abelian varieties (with an appendix by M. Dutour Sikirić).
Geometry and Physics: a Festschrift in honour of Nigel Hitchin. Oxford University Press, Vol. II, 581-610 (2018). |
| 43. | |
|
(with M. Bainbridge, D. Chen, Q. Gendron, M. Möller) |
Strata of k-differentials.
Algebraic Geometry 6 (2019) 2, 196-233.
|
| 42. | |
|
(with G. Codogni, E. Sernesi) |
The degree of the Gauss map of the theta divisor.
Algebra and Number Theory 11 (2017), 983-1001. |
| 41. | |
|
(with E. Clader, F. Janda, D. Zakharov) |
Powers of the theta divisor and relations in the tautological ring.
International Mathematics Research Notices 2018 (2018) 24, 7725-7754.
|
| 40. | |
|
(with M. Bainbridge, D. Chen, Q. Gendron, M. Möller) |
Compactification of strata of abelian differentials.
Duke Mathematical Journal 167 (2018) 2, 2347-2416. |
| 39. | |
|
(with K. Hulek) |
The intersection cohomology of the Satake compactification of Ag for g≤4.
Mathematische Annalen 369 (2017) 3-4, 1353-1381. |
| 38. | |
|
(with S. Casalaina-Martin, K. Hulek, R. Laza) |
Complete moduli of cubic threefolds and their intermediate Jacobians.
Proceedings of London Mathematical Society (new series) {\bf 122} (2021) 2, 259-316. |
| 37. | |
|
(with M. Möller) |
Explicit formulas for infinitely many Shimura curves in genus 4.
Asian Journal of Mathematics 22 (2018) 2, special issue dedicated to Ngaimining Mok's 60th birthday, 381-390. |
| 36. | |
|
(with F. Dalla Piazza, A. Fiorentino, S. Perna, R. Salvati Manni) |
Vector-valued modular forms and the Gauss map.
Documenta Mathematica 22 (2017), 1063-1080. |
| 35. | |
|
(with S. Casalaina-Martin, K. Hulek, R. Laza) |
Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties (with an appendix by M. Dutour Sikirić)
Journal of European Mathematical Society 19 (2017) 3, 659-723. |
| 34. | |
|
(with M. Möller) |
Shimura curves within the locus of genus 3 hyperelliptic curves.
International Mathematics Research Notices 2016 (2016) 6, 1603-1639. |
| 33. | |
|
(with K. Hulek, O. Tommasi) |
Stable cohomology of the perfect cone toroidal compactification of the moduli space of abelian varieties.
Journal fur die reine
und angewandte Mathematik (Crelle's Journal) 741 (2018), 211-254. |
| 32. | |
|
(with F. Cléry, G. van der Geer) |
Siegel modular forms of genus 2 and level 2 (with an appendix by S. Mukai).
International Journal of Mathematics 26 (2015) 5, 51pp. |
| 31. | |
|
(with R. Salvati Manni) |
On the Coble quartic.
American Journal of Mathematics 137 (2015) 3, 765-790. |
| 30. | |
|
(with D. Zakharov) |
The zero section of the universal semiabelian variety, and the double ramification cycle.
Duke Mathematical Journal 163 (2014) 5, 953-982.
|
| 29. | |
|
(with D. Zakharov) |
The double ramification cycle and the theta divisor.
Proceedings of the American Mathematical Society 142 (2014) 12, 4053-4064.
|
| 28. | |
|
(with K. Hulek) |
Geometry of theta divisors - a survey.
Clay Mathematics Proceedings 18 (A Celebration of Algebraic Geometry,
on the occasion of Joe Harris' 60th birthday), 361-390. |
| 27. | |
|
(with G. Farkas, R. Salvati Manni, A. Verra ) |
Singularities of theta divisors and the geometry of A5.
Journal of European Mathematical Society 16 (2014) 9, 1817-1848. |
| 26. | |
|
(with I. Krichever) |
Real-normalized differentials and the elliptic Calogero-Moser system.
In Complex Geometry and Dynamics: proceedings of the Abel Symposium 2013, 123-138. |
| 25. | |
|
(with R. Salvati Manni) |
The Prym map on divisors, and the slope of A5 (with an appendix by K. Hulek).
International Mathematics Research Notices 2014 (2014) 24, 6645-6660. |
| 24. | |
|
(with K. Hulek) |
The class of the locus of intermediate Jacobians of cubic threefolds.
Inventiones Mathematicae 190 (2012) 1, 119-168. |
| 23. | |
|
(with K. Hulek) |
Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci.
PAMQ (Viehweg memorial issue) 7 (2011) 4, 1309-1360. |
| 22. | |
|
(with R. Salvati Manni) |
The Scorza correspondence in genus 3.
Manuscripta Mathematica 141 (2013) 1-2, 111-124. |
| 21. | |
|
|
The Schottky problem.
Current Developments in Algebraic Geometry, 129-164, MSRI Publications 59, Cambridge Univ. Press (2012). |
| 20. | |
|
(with I. Krichever) |
The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces.
Geometry of Riemann surfaces and their moduli spaces, 111-129. Surveys in Differential Geometry 14
(2009).
|
19. | |
|
(with R. Salvati Manni) |
The superstring cosmological constant and the Schottky form in genus 5.
American Journal of Mathematics 133 (2011) 4, 1007-1027. |
| 18. | |
|
(with R. Salvati Manni) |
The vanishing of two-point functions for three-loop superstring scattering amplitudes.
Communications
in Mathematical Physics 294 (2010) 2, 343-352. |
| 17. | |
|
(with R. Salvati Manni) |
The loci of abelian varieties with points of high multiplicity on the theta divisor.
Geometriae Dedicata 139 (2009) 1, 233-247. |
| 16. | |
| |
A special case of the Γ00 conjecture.
In Liaison, Schottky Problem and Invariant Theory: Remembering Federico Gaeta. Progress in Mathematics 280 (2010), 223-234. |
| 15. | |
| |
Superstring scattering amplitudes in higher genus.
Communications in Mathematical Physics 287
(2009) 2, 749-767. |
| 14. | |
|
(with C. Erdenberger, K. Hulek) |
Some intersection numbers of divisors on toroidal compactifications of Ag.
Journal of
Algebraic Geometry 19 (2010), 99-132. |
| 13. | |
|
(with I. Krichever) |
Integrable discrete Schrodinger equations and a characterization of Prym varieties by a pair of quadrisecants.
Duke Mathematical Journal 152 (2010), 317-371. |
| 12. | |
|
(with R. Salvati Manni) |
Singularities of the theta divisor at points of order two.
International Mathematics Research Notices (2007), paper rnm45. |
| 11. | |
|
| Geometry of Ag and its compactifications.
Algebraic Geometry: Seattle 2005, Proceedings of Symposia in Pure
Mathematics 80, 193-234. |
| 10. | |
|
(with R. Salvati Manni) |
Jacobians with a vanishing theta-null in genus 4.
Israel Journal of Mathematics 164 (2008) 1, 303-315. |
| 9. | |
|
(with D. Lehavi) |
Some intersections in the Poincaré bundle,
and the universal theta divisor on the moduli space of (semi)abelian
varieties.
International Mathematics Research Notices (2008), paper rnm128. |
| 8. | |
|
(with C. Erdenberger, K. Hulek) |
Intersection theory of toroidal compactifications of A4.
Bulletin of the
London Mathematical Society 38 (2006) 3, 396-400. |
| 7. | |
|
|
Multiplier ideals in algebraic geometry.
In
Snowbird lectures in Algebraic Geometry (edited by R. Vakil), Contemporary Mathematics 388, AMS 2005,
89-106. |
| 6. | |
|
(with R. Salvati Manni) |
Theta functions of arbitrary order and their derivatives.
Journal fur die reine
und angewandte Mathematik (Crelle's Journal), 590 (2006),
31-43. |
| 5. | |
|
(with R. Salvati Manni) |
Two generalizations of Jacobi's derivative formula.
Mathematics Research Letters 12 (2005) 6,
921-932. |
| 4. | |
|
(with R. Salvati Manni) |
Gradients of odd theta functions.
Journal fur die reine und angewandte Mathematik (Crelle's Journal) 573 (2004), 43-59. |
| 3. | |
|
|
The degree of the Jacobian locus and the Schottky problem. |
| 2. | |
|
|
Cubic equations for the hyperelliptic locus.
Asian Journal
of Mathematics 8 (2004) 1, 161-172 (special issue dedicated to
Prof. Yum-Tong Siu on his 60th birthday).
The PDF incorporates the erratum 9 (2005) 2,
273. |
| 1. | |
|
|
An explicit upper bound for Weil-Petersson volumes of the
moduli spaces of punctured Riemann surfaces.
Mathematische Annalen 321 (2001) 1, 1-13. |
