MPI-MiS Inselstrasse 22,

04103 Leipzig, DE.

Room F3 14

Tel.: +49 341 9959 680

Email: name.surname[at]mis.mpg.de

I am a Research Group Leader at the Max Planck Institute for Mathematics in the Sciences in Leipzig.

- Mini-Workshop on Curves and Riemann Surfaces. 25 November 2021. MPI-MiS Leipzig, together with Bernd Sturmfels.
- Leipzig lectures on Theta. March 14 - 18, 2022, MPI-MiS Leipzig.

- Fall School in Algebraic Geometry , September 30 - October 4, 2019, Berlin.

Information about my previous courses can be found here.

One of my main interests is the classical geometry of curves and
surfaces in projective space, with a particular attention to syzygies.
Another focus of my research are abelian varieties, from the classical
Schottky problem to computational aspects of theta functions.
I am also keen on applications of algebraic geometry, in particular to
statistics.

- D.Agostini.
*The Martens-Mumford Theorem and the Green-Lazarsfeld Secant Conjecture*. ArXiv. - D.Agostini, T. Brysiewicz, C. Fevola, L. Kühne, B. Sturmfels, S. Telen.
*Likelihood degenerations*. ArXiv. - D.Agostini, T. O. Çelik, D. Eken
*Numerical reconstruction of curves from their Jacobians*. ArXiv. - D.Agostini, I. Barros, K.-W. Lai.
*On the irrationality of moduli spaces of K3 surfaces*. ArXiv.

- D.Agostini, C. Fevola, Y Mandelshtam,
B. Sturmfels.
*KP solitons from tropical limits*. To be presented at MEGA 2021, Tromsø. ArXiv. - D.Agostini, T. O. Çelik,
B. Sturmfels
*The Dubrovin threefold of an algebraic curve*. Nonlinearity, vol. 34 (2021) 3783–3812. ArXiv. - D.Agostini, I. Barros.
*Pencils on surfaces with normal crossings and the Kodaira dimension of \( \mathcal{M}_{g,n} \)*. Forum of Mathematics, SIGMA, vol. 9 (2021) 1-22. ArXiv. Auxiliary Macaulay2 code . - D.Agostini, L. Chua.
*Computing Theta Functions with Julia*. Journal of Software for Algebra and Geometry, vol. 11 (2021), 41-51. ArXiv. - D.Agostini.
*Asymptotic syzygies and higher order embeddings*. IMRN (2020). ArXiv. - D.Agostini, T. O. Çelik, J. Struwe, B. Sturmfels
*Theta surfaces*. Vietnam Journal of Mathematics (2020). Special issue for Jürgen Jost's 65th birthday. ArXiv. - D.Agostini, C. Améndola, K. Ranestad.
*Moment identifiability of homoscedastic Gaussian mixtures*. Foundations of Computational Mathematics, vol. 21, (2021) 695-724. ArXiv. - D.Agostini, L. Chua.
*On the Schottky problem for genus five Jacobians with a vanishing theta null*. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (to appear). ArXiv. - D.Agostini.
*On the Prym map for cyclic covers of genus two curves*. Journal of Pure and Applied Algebra, vol. 224 (2020). ArXiv. - D.Agostini, C. Améndola
*Discrete Gaussian distributions via theta functions*. SIAGA, vol. 3 (2019), 1-30 ArXiv. - D.Agostini, A. Küronya, V. Lozovanu.
*Higher syzygies on surfaces with numerically trivial canonical bundle*. Mathematische Zeitschrift, vol. 293 (2019), 1071-1084. ArXiv. - D.Agostini.
*A note on homogeneous ideals of polarized abelian surfaces*. Bulletin of the London Mathematical Society, vol. 49 (2017), 220-225. ArXiv. - D.Agostini, D. Alberelli, F. Grande, P. Lella.
*The maximum likelihood degree of Fermat hypersurfaces*, Journal of Algebraic Statistics, vol. 6 (2015), 108-132. ArXiv.

- D.Agostini,
*On syzygies of algebraic varieties with applications to moduli*. My PhD thesis at the Humboldt-Universität zu Berlin, written under the supervision of Prof. Dr. Gavril Farkas. - D.Agostini,
*Asymptotic syzygies of algebraic varieties*. My Master thesis at the University of Pisa, written under the supervision of Prof. Giorgio Ottaviani.

- Riposte Armonie: algebraic geometry together with Ciro Ciliberto. September 20-24, 2021. Cetraro.
- Classical Algebraic Geometry. June 20-26, 2021. Oberwolfach (invited participant)
- International Congress on Mathematical Software. July 13-16, 2020, Braunschweig.
- Algebraic Geometry+ Workshop. October 7-11 2019, Berlin.
- Minisymposium Algebraic geometry in topological data analysis, at the SIAM Applied Algebraic Geometry Conference. July 10, 2019, Bern.
- Rationality of Algebraic Varieties. April 15-19, 2019, Schiermonnikoog.
- Giornate di Geometria Algebrica ed Argomenti Correlati XIV, Università di Genova. May 29 - June 1, 2018.
- Algebraic Geometry and Representation Theory in Rome, Università "La Sapienza" Roma. December 22, 2016.

The design of this webpage was stolen from that of Wouter Zomervrucht.