Yinbang Lin

Research

My research interests are mostly in moduli of sheaves, derived categories, and enumerative geometry.

Publications and preprints

  1. Semistable sheaves and Gaeta resolutions over rational surfaces, joint with Thomas Goller, submitted. Most of it is contained in arXiv:2205.14827.
  2. Higher dimensional moduli spaces on Kuznetsov components of Fano threefolds, joint with Chunyi Li, Laura Pertusi, and Xiaolei Zhao, Crelle's journal, https://doi.org/10.1515/crelle-2026-0001.
  3. Gaeta Resolutions and Strange Duality Over Rational Surfaces, joint with Thomas Goller, International Mathematics Research Notices, Volume 2025, Issue 15, August 2025, rnaf236, https://doi.org/10.1093/imrn/rnaf236.
  4. Gromov–Witten/Pandharipande–Thomas correspondence via conifold transitions, joint with Sz-Sheng Wang, Trans. Amer. Math. Soc. 378 (2025), 4413–4436, https://doi.org/10.1090/tran/9387.
  5. Decorated sheaves and morphisms in tilted hearts, joint with Sz-Sheng Wang and Bingyu Xia, J. Korean Math. Soc. 61 (2024), No. 6, pp. 1073–1093, https://doi.org/10.4134/JKMS.j230331.
  6. Shatz strata in versal deformation spaces, arXiv:2207.11853.
  7. Rank-one sheaves and stable pairs on surfaces, joint with Thomas Goller, Advances in Mathematics 401 (2022), https://doi.org/10.1016/j.aim.2022.108322, arXiv:1907.05180. The accepted version is also available here.
  8. A note on 1-cycles on the moduli space of rank 2 bundles over a curve, joint with Duo Li and Xuanyu Pan, C. R. Math. Acad. Sci. Paris 357 (2019), no. 2, 209–211.
  9. Moduli spaces of stable pairs, Pacific Journal of Mathematics 294 (2018), no. 1, 123–158, arXiv:1512.03091.
  10. Nef cones of Hilbert scheme of points on surfaces, joint with B. Bolognese, J. Huizenga, E. Riedl, B. Schmidt, M. Woolf and X. Zhao, Algebra Number Theory 10 (2016), no. 4, 907–930.