NAKAMURA, Yusuke

Title
Assistant Professor
Field Algebraic geometry
Research interests
Minimal model theory and singularities
Current research
My research interest is the minimal model theory and singularities appeared in the minimal model theory. Especially, my work focuses on the ACC conjecture and the LSC conjecure on minimal log discrepancies. These conjectures are related to the conjecture of termination of flips.
Selected publications
  1. On semi-continuity problems for minimal log discrepancies, to appear in J. Reine Angew. Math.
  2. On minimal log discrepancies on varieties with fixed Gorenstein index, to appear in Michigan Math. J.
  3. (with Diletta Martinelli and Jakub Witaszek) On the basepoint-free theorem for log canonical threefolds over the algebraic closure of a finite field, Algebra Number Theory 9-3 (2015),725--747.