Daniele Agostini

Research Group Leader (W2),
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.

Seminars and Events

Together with Noemie Combe and Rainer Sinn, I organize the

• Leipzig Seminar in Algebra, Algebraic Geometry and Algebraic Topology.

Some past events:

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

Teaching

In the Summer Semester 2021 I am leading the reading group:

• Foundations of Algebraic Geometry.

Information about my previous courses can be found here.

Curriculum vitae

A copy of my CV is here.

Research

I work in Algebraic Geometry and related areas.

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.

Publications and preprints

1. D.Agostini, T. O. Çelik, D. Eken Numerical reconstruction of curves from their Jacobians. ArXiv.
2. D.Agostini, I. Barros, K.-W. Lai. On the irrationality of moduli spaces of K3 surfaces. ArXiv.
   
   
3. D.Agostini, C. Fevola, Y Mandelshtam, B. Sturmfels. KP solitons from tropical limits. To be presented at MEGA 2021, Tromsø. ArXiv.
4. D.Agostini, T. O. Çelik, B. Sturmfels The Dubrovin threefold of an algebraic curve. Nonlinearity, vol. 34 (2021) 3783–3812. ArXiv.
5. 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 .
6. D.Agostini, L. Chua. Computing Theta Functions with Julia. Journal of Software for Algebra and Geometry, vol. 11 (2021), 41-51. ArXiv.
7. D.Agostini. Asymptotic syzygies and higher order embeddings. IMRN (2020). ArXiv.
8. 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.
9. D.Agostini, C. Améndola, K. Ranestad. Moment identifiability of homoscedastic Gaussian mixtures. Foundations of Computational Mathematics, vol. 21, (2021) 695-724. ArXiv.
10. 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.
11. D.Agostini. On the Prym map for cyclic covers of genus two curves. Journal of Pure and Applied Algebra, vol. 224 (2020). ArXiv.
12. D.Agostini, C. Améndola Discrete Gaussian distributions via theta functions. SIAGA, vol. 3 (2019), 1-30 ArXiv.
13. D.Agostini, A. Küronya, V. Lozovanu. Higher syzygies on surfaces with numerically trivial canonical bundle. Mathematische Zeitschrift, vol. 293 (2019), 1071-1084. ArXiv.
14. D.Agostini. A note on homogeneous ideals of polarized abelian surfaces . Bulletin of the London Mathematical Society, vol. 49 (2017), 220-225. ArXiv.
15. 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.

Other works

• 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.

Talks

Invited talks at workshops and conferences

• 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.

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