CURRICULUM VITAE Dongho Byeon Born 1969 in Busan, South ...

Publications1. On the cancellation problem of Zariski (with Hyun Kwang Kim)Bulletin of the Australian Mathematical Society 53 (1996) 499-500.2. Class number 1 criteria for real quadratic fields of Richaud-Degert type (withHyun Kwang Kim)Journal of Number Theory 57, (1996) 328-339.3. Class number one problem for pure cubic fields of Rudman-Stender typeProceedings of the Japan Academy 72, (1996) 166-167.4. Class number 2 criteria for real quadratic fields of Richaud-Degert type (withHyun Kwang Kim)Journal of Number Theory 62, (1997) 257-272.5. A note on class numbers of the simplest cubic fieldsJournal of Number Theory 65, (1997) 175-178.6. Quadratic twists of elliptic curves associated to the simplest cubic fieldsProceedings of the Japan Academy 73, (1997) 185-186.7. Special values of zeta functions of the simplest cubic fields and their applicationsProceedings of the Japan Academy 74, (1998) 13-15.8. A note on basic Iwsawa λ-invariants of imaginary quadratic fields and thecongruence of modular formsActa Arithmetica 89, (1999) 295-299.9. Class numbers and Iwasawa λ-invariants of certain totally real number fieldsJournal of Number Theory 79, (1999) 249-257.10. Class number 3 problem for the simplest cubic fieldsProceedings of the American Mathematical Society 128, (2000) 1319-1323.11. Indivisibility of class numbers and Iwasawa λ-invariants of real quadraticfieldsCompositio Mathematica 126, (2001) 249-256.12. A note on class number 1 criteria for totally real algebraic number fieldsActa Arithmetica 100 (2001) 291-295.13. On the finiteness of certain Rabinowitsch polynomials (with H. M. Stark)Journal of Number Theory 94, (2002) 177-180.2

14. A note on the existence of certain infinite families of imaginary qudaraticfieldsJournal of Number Theory 97, (2002) 165-170.15. Existence of certain fundamental discriminants and class numbers of realquadratic fieldsJournal of Number Theory 98, (2003) 432-437.16. On the finiteness of certain Rabinowitsch polynomials II (with H. M. Stark)Journal of Number Theory 99, (2003) 219-221.17. Indivisibility of special values of Dedekind zeta functions of real quadraticfieldsActa Arithmetica 100 (2003) 231-235.18. Real quadratic fields with class number divisible by 3 (with E. Koh)Manuscripta Mathematica 111, (2003) 261-263.19. Class numbers of quadratic fields Q( √ D) and Q( √ tD)Proceedings of the American Mathematical Society 132, (2004) 3137-3140.20. Ranks of quadratic twists of an elliptic curveActa Arithmetica 114, (2004) 391-396.21. Imaginary quadratic fields whose Iwasawa λ-invariants is equal to 1Acta Arithmetica 120, (2005) 145-152.22. Imaginary quadratic fields with noncyclic ideal class groupRamanujan Journal 11, (2006) 159-164.23. Real quadratic fields with class number divisible by 5 or 7Manuscripta Mathematica 120, (2006) 211-215.24. Mollin’s conjecture (with Jungyun Lee and Myoungil Kim)Acta Arithmetica, 126 (2007) 99-114.25. Class number 2 problem for certain real quadratic fields of Richaud-Degerttype (with Jungyun Lee)Journal of Number Theory, 128, (2008) 865–883.26. Divisibility of class numbers of imaginary quadratic fields whose discriminanthas only two prime factors (with Shinae Lee)Proceedings of the Japan Academy 84, (2008) 8–103

27. Indivisibility of class numbers of imaginary quadratic function fieldsActa Arithmetica, 132 (2008), No. 4, 373–37628. Rank-one quadratic twists of an infinite family of elliptic curves (with DaeyeolJeon and Chang Heon Kim)Journal für die Reine und Angewandte Mathematik (Crelle’s Journal), 633(2009), 67–76.29. Quadratic fields with noncyclic 5 or 7-class groupsRamanujan Journal, 19 (2009), No. 1, 71–77.30. Elliptic curves of rank 1 satisfying the 3-part of the Birch and Swinnerton-Dyer conjectureJournal of Number Theory, 130 (2010), 2707-2714.31. Rational torsion on optimal curves and rank-one quadratic twists (with DonggeonYhee)Journal of Number Theory, 131 (2011), 552-560.Membership in Professional Societies• Korean Mathematical Society• American Mathematical SocietyService to the Mathematical Community• Reviewer for Mathematical Reviews• Reviewer for Zentralblatt MATH• Referee for Acta Arithmetica, Compositio Mathematica, Glasgow MathematicalJournal, Journal of Korean Mathematical Society, Journal of NumberTheory, Manuscripta Mathematica, Mathematics and Computation, etc.• Referee for National Research Foundation of Korea 2009, 2010Grant• 03/01/2002-02/28/2003 RIM Research Grant• 03/01/2002-02/28/2003 SNU Research Grant4

• 09/01/2002-08/31/2003 KOSEF Research Grant• 09/01/2003-08/31/2005 KRF Research Grant (6 co-researchers)• 09/01/2003-08/31/2006 KOSEF Young Scientist Research Grant• 09/01/2005-08/31/2008 KRF Research Grant (6 co-researchers)• 11/01/2008-10/31/2009 KRF Research Grant• 2010 KOSEF Korea-Japan Number Theory Seminar• 05/01/2009-04/31/2011 KOSEF Research Grant• 09/01/2010-08/31/2013 NRF Senior Scientist Research Grant (3 co-researchers)Award• 2007 BK21 Mathematical Science Division SNU Excellent Teaching Award• 2010 College of Natural Science SNU Excellent Research AwardThesis DirectedPh. D• Jungyun Lee, The class number problem of real quadratic fields of Richaud-Degert type, 2008 - Excellent Ph. D. Thesis AwardMaster• Jungyeon Lee, Quartic fields with class number divisible by g, 2003• Jaehuyn Cho, Divisibility of class numbers of quadratic fields with discriminantsin some arithmetic progressions, 2004• Sangyoon Lee, Ankeny-Artin-Chowla conjecture and continued fraction expansion,2006• Jaeyoung Park, Hyperelliptic curves and class numbers of quadratic fields,2006• Shinae Lee, Quadratic fields whose class number is divisible by n and whosediscriminant has two prime factors, 20065

• Nayoung Kim, Cyclic quintic fields with class numbers divisible by 3, 2009Current Ph.D. Student: Sangyoon Lee, Kwanghyun Kim, Donggen Yee, JaehoHan, Nayoung Kim, Jiae Kim, Taegyung KimCurrent M.A. Student: Gyeoul Han, Hyojin KimInvited Talks1. July 1996, Cubic analogue of real quadratic fields of Richaud-Degert typeKorea-Japan Number Theory Seminar2. April 1997, Class number problem and Dedekind zeta functionColoquium, Korea Advanced Institute for Science and Technology3. December 1997, On a criterion for the class number of totally real algebraicnumber field to be oneNumber Theory Conference, Korea Institute for Advanced Study4. July 1999, Class number 1 criteria for totally real number fieldsExplicit Number Theory, Mathematiches Forschungsinstitut Oberwolfach,Germany5. March 2000,Divisibility of class numbers of quadratic fields,Indivisibility of class numbers of imaginary quadratic fields,Indivisibility of class numbers of quadratic fieldsNumber Theory Seminar, Seoul National University6. June 2000, Number Theory Seminar, Korea Advanced Institute for Scienceand Technology7. August 2000, Dvisibility properties of class numbersICMS Conference in Number Theory, Korea Advanced Institute for Scienceand Technology8. December 2000, Divisibility of class numbers and congruence of modularformsColloquium, Sogang University9. January 2001, Class numbers, Iwasawa invariants, and Modular formsSpecial Seminar, POSTECH6

10. July 2001, Indivisibility class numbers of real quadratic fieldsExplicit Number Theory, Mathematiches Forschungsinstitut Oberwolfach,Germany11. October 2001, Class Number ProblemColloquium, Seoul National University12. November 2001, Indivisibility class numbers of real quadratic fieldsInternational conference on arithmetic geometry, KIAS13. February 2002, Some Problems related to Class Numbers I, IIAlgebra Camp14. March 2002, Class Number ProblemColloquium, POSTECH15. January 2003, Class numbers of quadratic fields Q( √ D) and Q( √ tD)Number Theory Seminar, University of Wisconsin, Madison, USA16. July 2003, Ranks of twists of elliptic curvesExplicit Number Theory, Mathematiches Forschungsinstitut Oberwolfach,Germany17. May 2004, Class numbers and Elliptic curvesKorea-Japan Number Theory Seminar, Kyushu University, Japan18. July 2004, Quadratic fields with class numbers divisible by pNumber Theory Conference in honor of Harold Stark, University of Minnesota,USA19. January 2005, Class numbers, Iwasawa invariants and Modular FormsColloqium, Thohoku University, Japan20. July 2005, Class numbers, Elliptic curves and Hyperelliptic curvesExplicit Number Theory, Mathematiches Forschungsinstitut Oberwolfach,Germany21. Octover 2005, Quadratic fields whose Iwasawa invariant is equal to oneSNU and Hokaido Univ. Joint Symposium22. January 2006, Class numbers, Iwasawa invariants and Modular FormsKorea-Japan Number Theory Seminar, KAIST23. February 2006, Rank one quadratic twists of elliptic curvesSNU and RIMS Joint Symposium, Kyoto, Japan7

24. April 2006, Rank one quadratic twists of elliptic curvesNumber Theory Seminar, University of Wisconsin, Madison, USA25. June 2006, Rank one quadratic twists of elliptic curvesKIAS 10th Anniversary Number Theory Conference26. October 2006, Rank one quadratic twists of elliptic curvesNumber Theory Seminar, Johns Hopkins University27. January 2007, Rank one quadratic twists of an infinite family of ellipticcurvesNumber Theory Seminar, University of Wisconsin, Madison28. March 28, 2008, Indivisibility of Class NumbersColloquium, Ewha Womans University29. April 6, 2008, Rank one quadratic twists of elliptic curvesInvited talk, Korean Mathematical Society30. May 9, 2008, Indivisibility of Class NumbersNumber Theory Seminar, KAIST31. June 24, 2008, Quadratic twists of elliptic curvesthe 20th Algebra Camp, Chunan32. November 13, 2008, Indivisibility of class numbers of imaginary quadraticfunction fieldsKorea-Japan Number Theory Seminar, Tohoku University, Japan33. January 9, 2009, Rank one quadratic twists of an infinite family of ellipticcurvesPan-Asia Number Theory Conference, POSTECH, Korea34. August 22, 2009, Heegner points on elliptic curvesEast Asia Number Theory Conference, Tsinghua University, Beijing, China8