portrait

Chris Lyons
Associate Professor of Mathematics

Contact Information:

Department of Mathematics
800 N State College Blvd
Fullerton, CA 92831

McCarthy Hall 182G
(657) 278-7025

(first_initial)(last_name)@fullerton.edu

Teaching

Spring 2025:

  • Math 250A, Sects. 04 & 07 - Calculus III
  • Math 430 - Number Theory

Registered sutdents should access course materials via Canvas.

Research

Research interests:

  • Algebraic geometry and number theory

Papers:

  1. A simple formula for the Picard number of K3 surfaces of BHK typePDF File
    (With B. Olcken)
    Kyoto J. Math. 60 (2020), no. 3, 941–964
  2. Some results on surfaces with p_g = q = 1 and K^2=2
    (With P. Lewis)
    Int. Math. Res. Not. 2018 (2018), no. 6, 1878--1919
  3. The secret life of 1/n: A journey far beyond the decimal point
    The Mathematics Enthusiast 13 (2016), no. 3, 189--216
  4. The mirror symmetry of K3 surfaces with non-symplectic automorphisms of prime orderPDF File
    (With P. Comparin, N. Priddis, and R. Suggs)
    Adv. Theor. Math. Phys. 18 (2014), no. 6, 1335--1368
  5. The Tate Conjecture for a family of surfaces of general type with p_g = q = 1 and K^2=3PDF File
    Amer. J. Math. 137 (2015), 281--311
  6.  A rank inequality for the Tate Conjecture over global function fieldsPDF File
    Expos. Math. 27 (2009), no. 2, 93--108.

Preprints:

  1. A family of surfaces with p_g=q=1, K^2=2, and large Picard numberPDF File
    Submitted.  

Other

  • Our Primitive RootsPDF File
    Extended notes from an undergraduate talk on decimal expansions, primitive roots, and class numbers.
    (The article The secret life of 1/n above is based upon these notes. But the article contains quite a bit more and is generally more accessible, so that might be a better place to start.)