Justin Lacini

About me:

I'm a Visiting Assistant Professor in algebraic geometry at the University of Kansas. My mentor at KU is Prof. Bangere Purnaprajna. Starting in September, I will be a Postdoctoral Research Associate at Princeton University. I got my PhD at the University of California, San Diego under the supervision of Prof. James McKernan. Here is my CV.

I am currently co-organizing the Geometry seminar at the University of Kansas.

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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. Boundedness of fibers for pluricanonical maps of varieties of general type. Mathematische Annalen (2023), 385, 693–716. https://doi.org/10.1007/s00208-022-02360-5
2. On the Kawamata–Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic. (Joint with E. Arvidsson and F. Bernasconi) Compositio Mathematica (2022), 158(4), 750-763. https://doi.org/10.1112/S0010437X22007394

Preprints

1. On rank one log del Pezzo surfaces in characteristic different from two and three. Arxiv link (Submitted). Here are the code and the printout for the computer program used in the paper. Link
2. Logarithmic bounds on Fujita's conjecture. Arxiv link (Joint with L. Ghidelli, submitted).
3. Syzygies of adjoint linear series on projective varieties. Arxiv link (Joint with P. Bangere, submitted).