List of Publications 1. Kuroda's class number formula, Acta Arith. 66.3 (1994), 245--260, Zbl. 807.11052 2. Rational quartic reciprocity, Acta Arith. 67.4 (1994), 387--390 3. On $2$-class field towers of imaginary quadratic number fields, Journal de Th\'eorie des Nombres de Bordeaux 6 (1994), 261--272 4. Ideal class groups of cyclotomic number fields I; Acta Arith. 72.4 (1995), 347--359 5. The Euclidean Algorithm in Algebraic Number Fields; Expositiones Math. 13 (1995), 385--416 6. (with Attila Peth"o) Simplest Cubic Fields; Manuscripta Math. 88 (1995), 53--58 7. (with M. Mignotte and A. Peth"o) On the family of Thue equations $x^3 - (n-1)x^2y - (n+2)xy^2 - y^3 = k$, Acta Arith. 76 (1996), 245--269 8. Unramified Quaternion Extensions of Quadratic Number fields; J. Theor. Nombres Bordeaux 9 (1997), 51--68 9. On Gauss bounds of quadratic extensions of number fields; Publ. Math. Debrecen 50 (1997), 365--368 10. (with Elliot Benjamin and Chip Snyder) Imaginary quadratic Fields with cyclic $Cl_2(k^1)$; J. Number Theory 67 (1997), 229--245 11. Rational quartic reciprocity II; Acta Arithmetica, 80, No. 3 (1997), 273--276 12. On the $2$-class field tower of some imaginary quadratic number fields; Abh. Math. Sem. Hamburg 67 (1997), 205--214 13. (with Stefania Cavallar) The Euclidean Algorithm in cubic number fields; Proceedings Number Theory Eger 1996, (Gyory, Petho, Sos eds.), Gruyter 1998, 123--146 14. (with Elliot Benjamin and Chip Snyder) Real quadratic number fields with Abelian Gal($k^2/k$); J. Number Theory 73 (1998), 182--194 15. Ideal class groups of cyclotomic number fields II; Acta Arithmetica 84 (1998), 59-70 16. (with N. Schappacher), Introduction to the English translation of Hilbert's Zahlbericht by I. Adamson, Springer Verlag 1998 17. (with S. Louboutin and R. Okazaki) On class number $1$ problems of some normal CM fields of degree $24$; J. Theor. Nombres Bordeaux 11, (1999), 387-406 18. A note on P\'epin's counter examples to the Hasse principle for curves of genus $1$, Abh. Math. Sem. Hamburg 69 (1999), 335-345 19. Kreise und Quadrate modulo $p$, Math. Semesterberichte 47 (2000), 51-73 20. (with Elliot Benjamin and Chip Snyder) Imaginary quadratic Fields with $Cl_2(k) = (2,2^m)$ and rank $Cl_2(k^1) = 2$, Pac. J. Math., to appear 21. Reciprocity Laws. From Euler to Eisenstein; Springer Verlag, May 2000 22. On Tate-Shafarevich groups of some elliptic curves; Algebraic number theory and Diophantine analysis (Graz, 1998), 277--291; de Gruyter, 2000 23. (with Stefania Cavallar) Euclidean Windows; to appear in the LMS Journal of Computation and Mathematics In preparation: 1. (with Elliot Benjamin and Chip Snyder) Imaginary Quadratic Number Fields $k$ with $\Cl_2(k)\simeq (2,2,2)$ and $\rank \Cl_2(k^1)=2$ 2. On the capitulation of Tate-Shafarevich groups 3. On a family of non-congruent numbers 4. Galois Action on Class Groups 5. Ideal class groups of cyclotomic number fields III 6. Class Field Towers 7. Euclid's algorithm in normal quartic CM-fields