My research area is algebraic geometry. I study rational curves and algebraic cycles on algebraic varieties, along with their arithmetic applications.
Topics on middle school math competitions — a lecture series preparing middle schoolers for math competitions.
Fano Hypersurfaces in Positive Characteristic
PDF, Comptes Rendus. Mathématique, Volume 362 (2024), pp. 107-115
$\mathbb{A}^1$-curves on affine complete intersections (with X. Chen)
PDF, Selecta Mathematica, 24(4), 3823-3834, (2018)
$\mathbb{A}^1$-equivalence of zero cycles on surfaces II (with Q. Yin)
PDF, Annals of K-Theory 3-3 (2018), 379–393
Strong Approximation over function fields (with Q. Chen)
PDF, Journal of Algebraic Geometry, 27 (2018) 703–725
$\mathbb{A}^1$-equivalence of zero cycles on surfaces
PDF, Transactions of the AMS, 370 (2018), no. 9, 6735–6749
$\mathbb{A}^1$-curves on log smooth varieties (with Q. Chen)
PDF, Journal für die reine und angewandte Mathematik (Crelle’s Journal) 756, 1-35
Homogeneous Space Fibrations over Surfaces
PDF, Journal of the Institute of Mathematics of Jussieu 18 (2), 293-327. The updated version improving Cor. 1.5.
$\mathbb{A}^1$-curves on log K3 surfaces (with X. Chen)
PDF, Advances in Mathematics 313, (2017), 718-745
Log rationally connected surfaces
PDF, Mathematical Research Letters 23, (2016), no. 5, 1527-1536
On the irreducibility of the space of genus zero stable log maps to wonderful compactifications (with Q. Chen)
PDF, International Mathematical Research Notices 2016, no.10, 3029-3050
$\mathbb{A}^1$-connected varieties of rank one over non-closed fields (with Q. Chen)
PDF, Mathematische Annalen 364, (2016), no.3, 1505-1515
Very free curves on Fano complete intersections (with Q. Chen)
PDF, Algebraic Geometry 1 (2014), no.5, 558-572
University of Waterloo
University of Utah