Wenbo Niu

Wenbo Niu
  Associate Professor
  Department of Mathematical Sciences
  University of Arkansas
  Email: wenboniu@uark.edu
  Office: SCEN 356
  Office Hours: TBA
 

Research

I received my Ph.D. degree from the University of Illinois at Chicago (see mathematics genealogy). My research interests are algebraic geometry and commutative algebra. My current research is focused on Castelnuovo-Mumford regularity bounds, singularities under linkage of varieties, and multiplier ideals on arbitrary varities. I am also interested in problems related to generic projection, Koszul cohomology and vanishing theorem.

Curriculum Vita

CV

Preprints and Publications

[22] (with Alexander S. Duncan and Jinhyung Park) A note on an effective bound for the gonality conjecture, arXiv:2310.11419.
[21] (with Lawrence Ein) On vanishing of fundamental forms of algebraic varieties, arXiv:2304.08430.
[20] (with Jinhyung Park) A Castelnuovo-Mumford regularity bound for threefolds with rational singularities, Adv. Math. 401 (2022), 24 pp.
[19] (with Lawrence Ein and Jinhyung Park) A remark on global sections of secant bundles of curves, Boll. Unione Mat. Ital. 15 (2022), 163-171.
[18] (with Lawrence Ein and Jinhyung Park) On blowup of secant varieties of curves, Electron. Res. Arch. 29 (2021), 3649-3654.
[17] Regularity bounds by projection, Commutative algebra, Springer, Cham, (2021), 617-638.
[16] (with Youngsu Kim and Lance Miller) Log canonical thresholds of generic links of determinantal varieties, Proc. Amer. Math. Soc. 149 (2021), 2777-2787.
[15] (with Lawrence Ein and Jinhyung Park) Singularities and syzygies of secant varieties of nonsingular projective curves, Invent. Math. 222 (2020), 615-665.
[14] On syzygies of Calabi-Yau varieties and varieties of general type, Adv. Math. 343 (2019), 756-788.
[13] Vanishing theorems for Mather-Jacobian multiplier ideals on a Gorenstein projective variety, arXiv:1508.02361
[12] (with Bernd Ulrich) A note on Mather-Jacobian multiplier ideals, arXiv:1404.5092
[11] (with Shihoko Ishii) A strongly geometric general residual intersection, Contemp. Math. 712 (2018), 197-210.
[10] (with Lawrence Ein) Interpolation for curves of large degree, Asian J. Math. 22 (2018), 0307-0316.
[  9] Mather-Jacobian singularities under generic linkage, Trans. Amer. Math. Soc. 370 (2018), 4015-4028.
[  8] (with Jinhyung Park) A Castelnuovo-Mumford regularity bound for scrolls, J. Algebra 488 (2017), 388-402.
[  7] (with Luigi Lombardi) Theta-regularity of curves and Brill-Noether loci , Math. Res. Lett. 23 (2016), 1761-1787.
[  6] Castelnuovo-Mumford regularity bounds for singular surfaces, Math. Z. 280 (2015), 609-620.
[  5] Geometric nullstellensatz and symbolic powers on arbitrary varieties, Math. Ann. 359 (2014), 745-758.
[  4] Singularities of generic linkage of algebraic varieties, Amer. J. Math. 136 (2014), 1665-1691.
[  3] Some results on asymptotic regularity of ideal sheaves, J. Algebra 377 (2013), 157-172.
[  2] A vanishing theorem and asymptotic regularity of powers of ideal sheaves, J. Algebra 344 (2011), 246-259.
[  1] A bound for the Castelnuovo-Mumford regularity of log canonical varieties, J. Pure Appl. Algebra 215 (2011), 2180-2189.
 
Updated: January, 2023