Update
May 15, 2009





in deep thought















































       Mathematics
Name/Contact Info:
   Sungkon Chang,
       Sungkon.Chang@armstrong.edu
       Phone: 912-344-2889

Education Curriculum Vitae

Personal Homepage
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:
  • Algebra Seminar Group
  • Spring Problem Session and Fall Putnam Seminar
Recent Talks:
  • Oct,2007: The arithmetic of elliptic curves,
    Hudson Colloquia, AASU
  • Mar, 2008: Introduction to Arithmetic-Algebraic Geometry.,
    Hudson Colloquia, AASU
  • Nov, 2008: The Birch and Swinnerton Dyer Conjecture and
    Quadratic Twists of an Elliptic Curve,
    Hudson Colloquia, AASU
  • Mar, 2009: Reflections on the Putnam Competition.,
    Hudson Colloquia, AASU
  • Apr, 2009: Maximizing the minimum mutual distance,
    Hudson Colloquia, AASU

  • Talk(s) coming:
  • 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.
  • Nov,2008: Hudson Colloquia, AASU;
    The Birch and Swinnerton Dyer Conjecture and Quadratic Twists of an Elliptic Curve: Slide.
  • Mar,2009: Hudson Colloquia, AASU;
    Reflections on the Putnam Competition: Slide.
  • Apr,2009: Hudson Colloquia, AASU;
    Maximizing the minimum mutual distance: Slide.

Research/Teaching

Teaching in Summer 2009: None

Research with a student in Summer 2009:
The classic packing problem


Publications Article Reviews
  • N. Bruin: The arithmetic of Prym varieties in genus 3, Compos. Math. 144, No. 2, 317-338 (2008).
  • D. Poulakis: On the rational points of the curve
    f(X,Y)q=h(X) g(X,Y), Can. Math. Bull. 52, No. 1, 117-126 (2009).
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


Things to read:
Life of A. Gothendieck: I & II. Deep Blue
Intuitionism vs formalism. Hironaka
MathEd in Japan. TeX inventor
Full proof of Fermat's
   Last Theorem
.
Who is Grothendieck?
Expository Articles
Rank of Elliptic Curves. Open Problems in
   Arithmetic Geometry
Small gaps b/w prime #s.


Guestbook for my students
Guestbook for visitors



Cavatina, played by John Williams, the guitarist