University of Utah

Department of Mathematics

155 S. 1400 E. RM 233

Salt Lake City, UT 84112-0090

Office: LCB 116

Email: im@math.utah.edu

Tel: 1-801-585-9112

FAX: 1-801-581-4148

Academic Positions

- Wylie Assistant Professor (since July 2004), Department of Mathematics, University of Utah.
- Visiting Scholar (June, July 2005), The school of Mathematics, Korea Institute for Advanced Study (KIAS).
- Instructor (June, July 2005), Department of Mathematics Education, Ewha Womans University, Seoul, Korea.

Education

Ph.D. Mathematics, Indiana University, Bloomington, July 2004.

Thesis Title:Mordell-Weil groups and the rank of elliptic curves over large fields

Advisor : Dr. Michael Larsen

M.S., Mathematics, Ewha Womans University, Seoul, Korea, February 1997.

Thesis Title:Primary decompositions of ideals in graded rings

Advisor : Dr. Hyesook Lee and Dr. Sunsook Noh

B.S.(summa cum laude), Mathematics, Ewha Womans University, Seoul, Korea, February 1995.

Advisor : Dr.Yongseung Cho

Research Interests

- Algebraic Number Theory
- Arithmetic Geometry

- Im
,Bo-Hae;Larsen, Michael: Abelian varieties over cyclic fields, preprint, 2006, arXiv:math.NT/0605444.- Breuer, Florian; Im, Bo-Hae
: Heegner points and the rank of elliptic curves over large extensions of global fields, submitted, 2005, arXiv:math.NT/0604107.- Im
,Bo-Hae: Rational points of principal homogeneous spaces, preprint, 2001.

- Im
,Bo-Hae: Heegner points and Mordell-Weil groups of elliptic curves over large fields,Trans. Amer. Math. Soc.to appear, arXiv: math NT/0411534.- Im
,Bo-Hae: Mordell-Weil groups and the rank of elliptic curves over large fields,2003.Canad. J. Math.Vol.58(4) (2006), 796-819, arXiv: math NT/0411533.

- Im
,Bo-Hae;Larsen, Michael: Weak approximation for linear systems of quadrics,J. Number Theory, Vol.119, no.1 (2006) 148-154, arXiv: math.NT/0306265- Im
,Bo-Hae:The rank of elliptic curves with rational 2-torsion points over large fields,Proc.Amer. Math. Soc.Vol.,134, no.6 (2006), 1623-1630.- Im
,Bo-Hae;Larsen, Michael: Open conditions for infinite multiplicity eigenvalues on elliptic curves,J. Algebra, Vol.299, no.2 (2006), 707-713, arXiv: math NT/0503156.- Im
,Bo-Hae:Infinite multiplicity of roots of unity of the Galois group in the representation on elliptic curves,J. Number Theory, Vol.114, no.2 (2005), 312-323.

Articles from Advising Undergraduate Students: With Charlotte Hansen:Minimal polynomials of trigonometric values at 2pi/p,submitted, 2005.

The rank of elliptic curves over large fields, Ph.D thesis, Indiana University, Bloomington, 2004.Primary decompositioins of ideals in graded rings, Master's thesis, Ewha Woman's University, Seoul, Korea, 1997.

The NSF-AWM Travel Grants,the AWM (the Association for Women in Mathematics), February, 2006.

William B. Wilcox Mathematics Award,in recognition of outstanding achievement in Department of Mathematics, Department of Mathematics, Indiana University, Bloomington, April 2002David A. Rothrock Teaching Award,in recognition ofoutstanding performance in teaching mathematics, Department of Mathematics, Indiana University, Bloomington, April, 2000James P.Williams Memorial Award,in recognition of outstanding performance in the first year of graduate school, Department of Mathematics, Indiana University, Bloomington, April, 1998Glenn Schober Memorial Travel Award,Department of Mathematics, Indiana University, Bloomington, 2000, 2003, 2004College of Arts and Sciences Graduate Student Travel Grants,College of Arts and Sciences, Graduate Division, Indiana University, Bloomington, 2004Kim Aeda Award (김애다 상),given to the best GPA (summe cum laude) in College of Natural Science, Ewha Womans University, Seoul, Korea,February, 1995.Summer Research Assistantships:Summer 1999 (under the NSF fund by James Davis, Indiana University), Summer 2000, 2001, 2002 (under the NSF fund by Michael Larsen, Indiana University)

- TBA, Special Session on Number Theory, The AMS Sectional Meeting, University of Utah, Oct. 2006. (Scheduled)

Open conditions for infinite multiplicity eigenvalues on elliptic curves, Special Session on Galois Theory in Arithmetic and Geometry, The AMS 2006 Spring Eastern Sectional Meeting (#1017), University of New Hampshire, Durham, NH, April 22-23, 2006.

The rank of elliptic curves over large fields, Colloquium, Department of Mathematics, University of Idaho, March 6, 2006.

The rank of elliptic curves over large fields, Colloquium, Department of Mathematics & Statistics, Georgia State University, February 27, 2006.

Elliptic curves as the natural representation of the absolute Galois groupand the rank ove large fields, Algebra and Number Theory Seminar, Penn State University, November 17, 2005.The rank of elliptic curves and infinite multiplicity of roots of unity on elliptic curves, Departmental Colloquium, Korea University, Seoul, Korea, September 30, 2005.

The rank of elliptic curves and infinite multiplicity of roots of unity on elliptic curves, Number Theory Seminar, KIAS(Korea Institute for Advanced Study), Korea, July 14, 2005.The rank of elliptic curves and infinite multiplicity of roots of unity on elliptic curves, KWMS, The 2nd International Workshop for Korean Woman in Mathematics, Korea, June 20-21, 2005.Infinite multiplicity of roots of unity of the Galois representation on elliptic curves, Special Session on Arithmetical Algebraic Geometry, AMS national meeting (#1003), Atlanta, Georgia, January 5-8, 2005The rank of elliptic curves over large fields, Departmental Colloquium at Ewha Womans University, Seoul, Korea, May 25, 2004.The rank of elliptic curves over large fields, Number Theory Seminar at (POSTECH) Pohang University of Science and Technology, Pohang, Korea, May 20, 2004.The rank of elliptic curves over large fields, Number Theory Seminar at University of Utah, Salt Lake City, February 6, 2004.The rank of the Mordell-Weil groups of elliptic curves over large fields, Special Session on Arithmetical Algebraic Geometry, AMS meeting (#993), Phoenix, Arizona, January 7-10, 2004The rank of elliptic curves over large fields, Québec-Vermont Number Theory Seminars at McGill University, Canada, March 27, 2003The rank of elliptic curves over large fields, Algebraic Number Theory Seminar at University of Illinois-Urbana Champaign, February 20, 2003The rank of the Mordell-Weil groups of elliptic curves over large fields, Midwest Number Theory Conference, Univ. of Wisconsin - Madison, October 25-26, 2003Mordell-Weil groups of elliptic curves over large fields, Session on Number Theory I, AMS meeting (#983), Baltimore, MA, January 15, 2003

- Speaker,
Progress on the rank of abelian varieties over large fields, Number Theory Seminar at U. of Utah, May 4, 2006.

- Speaker,
Hilbert irreducibility and its application, Commutative Algebra Seminar at U. of Utah, November 12, 2004.- Speaker,
Infinite multiplicity of the Galois group on elliptic curves, Number Theory Seminar at U. of Utah, October 6, 2004.- Speaker,
Heegner points and Mordell-Weil groups of elliptic curves over large fields, Algebra Seminar at Indiana University, November 10, 2003- Participant, Arizona Winter School 2003 : Logic and Number Theory, Univ. of Arizona, Tucson, March 15-19, 2003
- Speaker,
The rank of elliptic curves over large fields, Algebra Seminar at Indiana University, December 9, 2002- Participant, Arizona Winter School 2001 : Modular Forms, Univ. of Arizona, Tucson, March 10 - 14, 2001
- Speaker,
Introduction to elliptic curves, Graduate seminar at Indiana University, December 5, 2001- Speaker,
p-adic analysis, Graduate seminar at Indiana University, March 31, 1999

Members, Services and Activities

- I have reviewed journal papers as a reviewer of Mathematics Reviews of the AMS since 2006.
- I am a member of