Justin Lacini

About me:

I'm a Postdoctoral Research Associate in algebraic geometry at Princeton University mentored by Prof. Chenyang Xu. I got my PhD at the University of California, San Diego under the supervision of Prof. James McKernan. Here is my CV.

I am organizing the Algebraic Geometry Preprint Seminar at Princeton University.

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Research Interests

• Birational geometry of higher dimensional algebraic varieties
• Minimal Model Program
• Algebraic geometry in positive characteristic
• Analytic methods in algebraic geometry

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Publications

1. Logarithmic bounds on Fujita's conjecture. (Joint with L. Ghidelli) Proceedings of the London Mathematical Society 128 (3), Paper e12591, 28 pages (2024). https://doi.org/10.1112/plms.125915. Code and printout for the computer program used in the paper: Link.
2. On rank one log del Pezzo surfaces in characteristic different from two and three. Advances in Mathematics 442, Paper 109568, 77 pages (2024). https://doi.org/10.1016/j.aim.2024.109568. Code and printout for the computer program used in the paper: Link.
3. Boundedness of fibers for pluricanonical maps of varieties of general type. Mathematische Annalen 385 (1-2), 693-716 (2023). https://doi.org/10.1007/s00208-022-02360-5
4. On the Kawamata–Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic. (Joint with E. Arvidsson and F. Bernasconi) Compositio Mathematica 158 (4), 750-763 (2022). https://doi.org/10.1112/S0010437X22007394

Preprints

1. Syzygies of adjoint linear series on projective varieties. Arxiv link (Joint with P. Bangere, submitted).