Email: math.zhu "at" gmail.com                            

About me: The field of my research is algebraic geometry. I study rational curves and algebraic cycles on algebraic varieties.       

Publications:    List from arXiv   Google scholar

    [1].     Very free curves on Fano complete intersections, with Q. Chen, 

              Algebraic Geometry 1 (2014), no.5, 558-572 

    [2].     A^1-connected varieties of rank one over non-closed fields, with Q. Chen, 

              Mathematische Annalen 364, (2016), no.3, 1505-1515 

    [3].     On the irreducibility of the space of genus zero stable log maps to wonderful compactifications, with Q. Chen, 

              International Mathematical Research Notices 2016, no.10, 3029-3050 

    [4].     Log rationally connected surfaces, 

              Mathematical Research Letters 23, (2016), no. 5, 1527-1536 

    [5].     A^1-curves on log K3 surfaces, with X. Chen, 

              Advances in Mathematics 313, (2017), 718-745

    [6].     Homogeneous Space Fibrations over Surfaces,

              Journal of the Institute of Mathematics of Jussieu, (2017), (Link)

    [7].     A^1-curves on log smooth varieties, with Q. Chen,

              Journal für die reine und angewandte Mathematik (Crelle's Journal), (2017), (Link)

    [8].     A^1-equivalence of zero cycles on surfaces, 

              Transactions of the AMS, 370 (2018), no. 9, 6735–6749  

    [9].     Strong Approximation over function fields, with Q. Chen, 

              Journal of Algebraic Geometry, 27 (2018) 703–725

    [10].   A^1-equivalence of zero cycles on surfaces II, with Q. Yin, 

              Annals of K-Theory  3-3 (2018), 379--393

    [11].   A^1-curves on affine complete intersections, with X. Chen, 

              Selecta Mathematica, 24(4), 3823-3834, (2018)

    [12]. Fano Hypersurfaces in Positive Characteristic, 

Comptes Rendus. Mathématique, Volume 362 (2024), pp. 107-115.

Preprints: 

1. Fibration method with multiple fibers and strong approximation, with D. Wei and J. Xu, (arXiv:2412.01144)

2. The arithmetic puncturing problem and integral points, with D. McKinnon, (arXiv 1806.03180)

Courses:

University of Waterloo

• Fall 2016           Calculus for Sciences

• Fall 2015           Linear Algebra for Science

University of Utah

• Spring 2015       Introduction to Quantatative Reasoning 

• Fall 2014           Quantitative Analysis 

• Spring 2014      Calculus II

• Fall 2013           Calculus III                           

• Fall 2013           Introduction to Modern algebra I 

• Spring 2013      Calculus I