Update
Oct 26, 2007





in deep thought















































       Mathematics
Name/Contact Info:
   Sungkon Chang,
       Sungkon.Chang@armstrong.edu
       Phone: 912-921-5983

Education Curriculum Vitae
Research Interest:
  • Arithmetic of abelian varieties
  • Modular curves
          and Automorphic forms
  • Algebraic number theory

Introduction for general audience

Number Theory Web
A gateway to number theory

Activities/Talks

Activities/Services:
  • Research Seminar at the dept of math, AASU
  • Test Committee of Math Tournament, AASU
  • Armstrong Problem Solving Group run by Dr Brawner.
Recent Talks:
  • Jan,2007: Proof of the prime number theorem,
    Research Seminar, AASU
  • Feb,2007: Quadratic twists of elliptic curves
    with small Selmer rank, PANTS#2, Clemson Univ.
  • Mar,2007: Antiderivatives in terms of elementary functions,
    Hudson Colloquia, AASU
  • Oct,2007: The arithmetic of elliptic curves,
    Hudson Colloquia, AASU
  • Mar, 2008: Introduction to Arithmetic-Algebraic Geometry.,
    Hudson Colloquia, AASU

    • Talk(s) coming:
  • Nov, 2008: Mathematics and Music,
    Hudson Colloquia, AASU
 Slides:
  • Oct,2005:
    Algebra/Geometry/Topology Seminar, Geogia Tech;
    Quadratic Twists of Elliptic Curves: Slide.
  • Sep,Oct,2005: Hudson Colloquia/Research Seminar, AASU;
    The Magic of Elliptic Curves II & III: Slide 1, Slide 2.
  • Nov,2006: Hudson Colloquia, AASU;
    The Equations That Couldn't Be Solved: Slide.
  • Apr,2007: Hudson Colloquia, AASU;
    Antiderivatives in elementary functions Slide & a bit of detail.
  • Oct,2007: Hudson Colloquia, AASU;
    The arithmetic of elliptic curves: Slide.
  • Mar,2008: Hudson Colloquia, AASU;
    The intro to arithmetic algebraic geometry: Slide.
Things to read:
Life of A. Gothendick: I & II. Deep Blue
Intuitionism vs formalism. Hironaka
MathEd in Japan. TeX inventor
Full proof of Fermat's
   Last Theorem.
Expository Articles
Rank of Elliptic Curves. Open Problems in
   Arithmetic Geometry
Small gaps b/w prime #s.

Research/Teaching

Teaching in Spring 2008:
Calculus I and Theory of Numbers
Teaching in Summer 2008:
Intro to Arithmetic Geometry
Password to course websites
  • Student Evaluations
    • Original Works
    • Paper, 2005: On the arithmetic of twists of superelliptic curves, Acta Arith 124 (2006) 371--389. [AMS Review by Bjorn Poonen]
    • Paper, 2005: Note on the rank of quadratic twists of Mordell equations, J. Number Theory 118 (2006) 53--61. [AMS Review by Pavlos Tzermias]
    • Preprint, with Steve Donnelly: Quadratic twists of an elliptic curve with small Selmer rank (coming soon)
    • Technical Report, 2003: Implementation of the 3-descent on a Mordell's elliptic curve, selmer3.html.
    • Preprint: CM-descent on Mordell's elliptic curves, associated with endomorphisms of large degree. (in prep)
    • Preprint: A finite group scheme associated with a p-descent on an elliptic curve, and its Galois cohomology. (in prep)
    Projects:
    • Verification of Birch and Swinnerton-Dyer Conjecture for quadratic twists of elliptic curves.
    • Generalization of my thesis: twists on cyclic covering of curves of positive genus.
    • Quadratic reciprocity on Galois conjugates
    • Finding a curve over the rationals with arbitrarily large genus with MW rank 0


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    Cavatina, played by John Williams, the guitarist