Kernels of categorical resolutions of nodal singularities, arXiv:2209.12853, joint with Warren Cattani, Franco Giovenzana, Pablo Magni, Luigi Martinelli, Laura Pertusi, Jieao Song, submitted
In this paper we study derived categories of nodal singularities. We show that for all nodal singularities there is a categorical resolution whose kernel is generated by a
Stability condition on Calabi-Yau threefold of complete intersection of quadratic and quartic hypersurfaces, arXiv:2108.08934, Forum of Mathematics, Sigma, accepted
In this paper, we proved the existence of the stability on X2,4 inside P5 by prove the Bogomolov-Gieseker stability holds on X2,4. The method in this paper extended the method by Dr. Chunyi Li for quintic threefolds by allowing the intermediate surface to be a K3 surface.