Xianglong Ni

Kenna Postdoctoral Research Associate

Education

PhD in Mathematics, University of California, Berkeley. 2018-2024
Advisor: David Eisenbud
BSc in Mathematics, Massachusetts Institute of Technology. 2014-2018
Advisor: Haynes Miller

Bio

Research Interests:

Commutative algebra, representation theory, and computer implementation thereof

Selected Publications: 

• ADE correspondence for grade three perfect ideals joint with Lorenzo Guerrieri, Jerzy Weyman, in preparation
• Parametrizing higher structure maps for resolutions of length three, in preparation
• Free resolutions constructed from bigradings on Lie algebras, joint with Jerzy Weyman
  arXiv: https://arxiv.org/abs/2304.01381
• Higher structure maps for free resolutions of length 3 and linkage, joint with Lorenzo Guerrieri, Jerzy Weyman, submitted to Transactions of the AMS
  arXiv: https://arxiv.org/abs/2208.05934
• The InvariantRing package for Macaulay2, joint with Luigi Ferraro, Federico Galetto, Francesca Gandini, Hang Huang, Matthew Mastroeni, accepted for publication in the Journal of Software for Algebra and Geometry
  arXiv: https://arxiv.org/abs/2010.15331