Update
Nov 21, 2004
in deep thought
Sungkon Chang, schang@math.uga.edu
Education
- 1998: BS, Kangwon National University link
- 2005: PhD (expected), University of Georgia
Curiculum Vitae
Introduction for general audience
Research Interest:
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Courses of Fall 2004:
- D. Lorenzini, Rational points on curves.
- Seminar: Birkovich Space .
- Arithmetic geometry seminar.
- Student arithmetic/algebraic geometry seminar: More about the seminar.
- Lorenzini's VIGRE research group: Rational points on curves.
- Generalization of my thesis: twists on cyclic covering of curves of positive genus.
- Fast algorithm for computing 2-Selmer groups of quadratic twists of an elliptic curve. (Implementation)
- Average size of 2-Selmer group of an elliptic curve without 2-torsion points.
- CM-descent on higher genus curves, associated with endomorphisms of large degree.
- Fermat's Last Theorem (pdf)
- Formalism v.s. Intuitionism (pdf)
- Shimura-Taniyama-Weil; H.Darmon (pdf)
- Deep Blue the champion (pdf)
- Shimura writes about Weil. (pdf)
- Mr. Knuth answers. (pdf)
- Discover Roundtable (html)
- Mathematicians and education (pdf)
- Life of Grothedieck Part I, Part II
Original Works
- Thesis, 2004: On the arithmetic of twists of the Jacobian varieties of superelliptic curves. (available upon request)
- Technical Report, 2003: Implementation of the 3-descent on a Mordell's elliptic curve, selmer3.html.
- Computer Programming, 2003: gp-script for the 3-descent, selmer3.html.
- Preprint, 2004: Note on the quadratic twists of Mordell equations. (available upon request)
- Preprint, 2003: CM-descent on Mordell's elliptic curves, associated with endomorphisms of large degree. (in prep)
- Preprint, 2002: Construction of elliptic curves with rank at least 7. (in prep)
- Preprint, 2004: An interesting finite group scheme associated with a p-descent on an elliptic curve, and its Galois cohomology. (in prep)
- Competition, 1997: Special Prize (link in Korean), 1997 National College Mathematics Competition, Seoul National University, Republic of Korea.
- Scholarship, 2004: The William Armor Wills Memorial Scholarship Award, University of Georgia. link
- 2004-2005, 2 units of departmental "grant".
Teaching Experience
- 1997-98: Grading, Abstract algebra, Kangwon National University, Republic of Korea.
- 1999-2000: GRSC777: Graduate Teaching Assistant Internship.
- 2000: Grading, Linear algebra, University of Georgia.
- 2000-2004: Various sections of Calculus, Calculus labs, and Precalculus, solely responsible for all the lectures and the assignments of grades.
- 2002: Teaching Seminar: Differential Calculus.
- 2002-2004: Tutoring, Combinatorics, Abstract algebra, calculus.
Sample Evaluation: eval.html, eval.pdf