Papers
pdf (with B.-H. Im) Chebyshev's Bias in Galois Extensions of Global Function Fields, 2009, submitted.
pdf (With S. Kim) Biases in the prime number race of function fields (2009), to appear in Journal of Number Theory.
pdf Chebyshev's Bias in Function Fields, Compositio Mathematica 144 (2008) 1351--1374.
pdf Special Units and Ideal Class Groups of Extensions of Imaginary Quadratic Fields, Mathematical Proceedings of the Cambridge Philosophical Society, 143 (2007) 265--270.
pdf Transcendental Functions, Initial Value Problems and a Different Approach to Calculus II, College Math Journal, September (2007) 288--296.
pdf Vanishing of Some Cohomology Groups and Bounds for the Order of Shafarevich-Tate Groups of Elliptic Curves, Journal of Number Theory, 111 (2005) 154--178.
Curriculum Vitae
A pdf version of CV is here.
Employment
- (2007-- ) Assistant Professor of Mathematics, Muhlenberg College, Department of Mathematics and Computer Science, Allentown, Pennsylvania, U.S.A.
- (2004--2007) Visiting Assistant Professor, Hendrix College, Department of Mathematics and Computer Science, Conway, Arkansas, U.S.A.
- (2003--2004) Lecturer, Johns Hopkins University, Department of Mathematics, Baltimore, Maryland, U.S.A.
Education
- (1997--2003) Ph.D. in Mathematics, Thesis: Vanishing of Some Cohomology Groups and Bounds for the Order of Shafarevich-Tate Groups of Elliptic Curves, Johns Hopkins University, Advisors: V. Kolyvagin and C. Popescu.
- (1990--1994) B.S. in Mathematics, Korea Advanced Institute of Science and Technology, Taejon, South Korea.
Publications
(With B.-H.Im) Chebyshev's Bias in Galois Extensions of Global Function Fields, submitted.
(With S. Kim) Biases in the prime number race of function fields (2009), to appear in Journal of Number Theory.
Chebyshev's Bias in Function Fields, Compositio Mathematica 144 (2008) 1351--1374.
Special Units and Ideal Class Groups of Extensions of Imaginary Quadratic Fields, Mathematical Proceedings of the Cambridge Philosophical Society, 143 (2007) 265--270.
Transcendental Functions, Initial Value Problems and a Different Approach to Calculus II, College Math Journal, September (2007) 288--296.
Vanishing of Some Cohomology Groups and Bounds for the Order of Shafarevich-Tate Groups of Elliptic Curves, Journal of Number Theory, 111 (2005) 154--178.
Mathematics Courses Taught
- (Muhlenberg) Linear algebra, number theory.
- (Muhlenberg) Introductory statistics, calculus I, calculus III.
- (Hendrix) Analysis, algebra, linear algebra, differential equations.
- (Hendrix) Computational number theory.
- (Hendrix) Calculus I and II, precalculus, liberal arts math.
- (Hendrix) Mathematical problem solving seminar. (bi-weekly seminar)
- (Hopkins) Calculus I, II, III, linear algebra.
- (Hopkins) Elliptic curves and cryptography. (new course)
- (Hopkins) Putnam problem solving seminar, qualifying exam seminar.
Undergraduate Research Supervised
(2006) Alex Cameron (Hendrix 2006) Ring Homomorphisms Between Finite Rings, published in PME journal, awarded Student Presentation Prize at the 2006 Oklahoma--Arkansas MAA meeting.
(2005) Douglas Woten (Hendrix 2005) Reduction Maps on Elliptic Curves, senior thesis.
Selected Presentations
(Nov 2009) Chebyshev's bias, prime number races and zeros of L-functions, Algebra Seminar, Wesleyan University, Middletown, CT.
(Oct 2009) Linear independence of zeta zeros in function fields, Number Theory Seminar, University of Illinois at Chicago, IL.
(Jun 2009) Linear independence of zeros of L-functions, KIAS Number theory seminar, Korea Institute of Advanced Science, Seoul, Korea.
(Jun 2009) Chebyshev's bias, prime number races and zeros of L-functions, Math Department Colloquium, Konkuk University, Seoul, Korea.
(Apr 2006) Transcendental Functions and Initial Value Problems--Hendrix Approach for Calculus II, The 2006 Oklahoma--Arkansas MAA Meeting, Fayetteville, AR.
(Feb 2006) Vanishing of Some Cohomology Groups and Bounds for Shafarevich-Tate Groups of Elliptic Curves, AMS Special Session on Computational Arithmetic Geometry, San Francisco, CA.
(Jan 2006) Problems on Tangent Lines and Infinite Series, MAA Contributed Papers Session on My Three Favorite Original Calculus Problems, The Joint Meetings, San Antonio, TX.
(Jan 2004) Vanishing of Some Cohomology Groups and Bounds for Shafarevich--Tate Groups of Elliptic Curves, AMS Special Session on Arithmetic Algebraic Geometry, Phoenix, AZ.
Services
(2007-- ) Volunteer for indexing Classroom Capsule for MAA journals.
(Jan 2007) Organized MAA Contributed Paper Session, Use of Technology in Abstract Algebra and Number Theory, The Joint Mathematics Meetings, New Orleans, LA.
(2006-- ) Referee for Math Magazine.
- (2006, 2007) Judge for MAA Undergraduate Poster Sessions at the Joint Meetings.
Fellowships and Awards
- (2008) Muhlenberg Summer Research Grant.
- (2005--2006) National Project NExT Fellowship (sterling dot).
Professional Memberships
Mathematical Association of America, American Mathematical Society.
Last updated on November 2, 2009