Lei Xue

Office: East Hall 1858
Office hours: see individual course Canvas pages, or by appointment!
Email: leixue [at] umich [dot] edu

My research interests lie primarily in algebraic and geometric combinatorics. I am particularly interested in studying the combinatoric of polytopes, posets, and simplicial complexes.

Publications/preprints

  • Non-Eulerian Dehn–-Sommerville Relations
    with C. Sawaske
    Mathematika, 67 (2021), 257-287.

  • A Proof of Grünbaum’s Lower Bound Conjecture for general polytopes.
    Israel Journal of Mathematics, 245 (2021), 991-1000.

  • Lower Bound Theorem for strongly regular CW spheres with up to 2d + 1 vertices.
    Discrete & Computational Geometry, (2023).

  • Total cut complexes of graphs.
    with M. Bayer, M. Denker, M. Jelíc Milutinovíc, R. Rowlands, and S. Sundaram.
    Discrete & Computational Geometry, (2024).

  • Topology of cut complexes of graphs.
    with M. Bayer, M. Denker, M. Jelíc Milutinovíc, R. Rowlands, and S. Sundaram.
    SIAM J. Discrete Math.,38 (2024), 1630-1675.

  • Topology of cut complexes II.
    with M. Bayer, M. Denker, M. Jelíc Milutinovíc, and S. Sundaram.
    Submitted.

  • Dual Mixed Volume.
    with T. Lam and Y. Gao.
    In preparation.

  • Lower Bound Theorem for strongly regular CW spheres with 2d + 2 vertices.
    with H Yang*.
    In preparation.

    • * denotes a paper written with undergraduate research mentees.

    My talk at KOI Conference 2023

    See my CV for a complete list of the conference and seminar talks I've given.