Update
Jan 6, 2010





in deep thought















































       Mathematics
Name/Contact Info:
   Sungkon Chang,
       Sungkon.Chang@armstrong.edu
             Students, please, use the Vista mail.
       Phone: 912-344-2889

Education Curriculum Vitae

Research Interest:
  • Arithmetic of abelian varieties
  • Modular curves
          and Automorphic forms
  • Algebraic number theory
  • Circle Packing Problems

Introduction for general audience
Invitation to Research

Number Theory Web
A gateway to number theory

Activities/Talks

Activities/Services:
  • Algebra Seminar Group
  • Spring Problem Session and Fall Putnam Seminar
Recent Talks:
  • 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
  • Oct, 2009: The equal circle packing problem,
    Hudson Colloquia, AASU

    • Talk(s) coming:
  • Reflection on the 70th Putnam Competition,
    Spring, 2010, Hudson Colloquia, AASU
  • Diophantine Approximation,
    Spring, 2010, Hudson Colloquia, AASU
  • 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 Spring 2010: Precalculus, Differnetial Equations, Linear Algebra
   • Course websites are set up at Vista
   • Look up your Vista ID at Pirates' Cove
Research: The equal circle 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).
  • M. Stoll: Finite descent obstructions and rational points on curves, Algebra & Number Theory, No. 1, 349-391 (2007).
  • K. Miyake: Twists of Hessian elliptic curves and cubic fields, Ann. Math. Blaise Pascal 16, No. 1, 27-45 (2009).
  • E.V. Flynn: Homogeneous spaces and degree 4 del Pezzo surfaces, Manuscr. Math. 129, No. 3, 369-380 (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: [This portion shall be moved to a facebook network]
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.