Zihong Lin

Writing

Expository mathematical writing.

  1. Heights on Toric Varieties

    UW Writing Milestone

    An exposition of the arithmetic geometry of toric varieties, written for the University of Washington's writing milestone requirement. Following Burgos Gil, Philippon, and Sombra, it develops the connection between toric metrics, convex geometry, and height formulas, with projective space as a running example.

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  2. The Geometry and Combinatorics of G-modules, and Where to Find Them

    Part III Essay · University of Cambridge

    An exposition of geometric and combinatorial descriptions of representations through Borel–Weil–Bott and string parametrisation of crystal bases. Following Kaveh, it explains how Bott–Samelson coordinates connect polynomial expressions for sections with string parameters.

    PDF