Publications
- [Preprints]
-
- 16. "Galois scaffolds and Galois module structure in
extensions of characteristic p local fields of degree
p2."
submitted, arXiv.org page
co-author:
N. P. Byott
- 15. "Integral Galois Module Structure for Elementary Abelian Extensions with a Galois Scaffold."
submitted, arXiv.org page
co-author:
N. P. Byott
[Published/Accepted]
- 14. "A valuation criterion for normal basis generators in local fields of characteristic p."
Archiv der Mathematik, 94 (2010) 43-47.
- 13. "On the necessity of new ramification breaks."
Journal of Number Theory, 129 #1 (2009) 84-101.
co-author: N. P. Byott
12. "Galois scaffolding in one-dimensional elementary abelian extensions."
Proceedings of the American Mathematical Society,
137 #4 (2009) 1193-1203.
11. "On wild ramification in quaternion extensions."
Journal de Théorie des Nombres de Bordeaux,
19 #1 (2007), 101-124.
co-author:
J. J. Hooper
10. "A valuation criterion for normal bases in elementary abelian extensions."
Bulletin of the London Mathematical Society, 39 #5 (2007), 705-708.
co-author:
N. P. Byott
9. "The Galois structure of ambiguous
ideals in cyclic extensions of degree 8."
Noncommutative algebra and geometry,
Lect. Notes Pure Appl. Math., vol. 243, Chapman & Hall/CRC, Boca
Raton, FL, 2006, pp. 63--89 arXiv.org page
8. "New ramification breaks and additive Galois structure."
Journal de Théorie des Nombres de Bordeaux,
17 #1 (2005), 87-107.
co-author:
N. P. Byott
- 7. "On Galois structure of the integers in cyclic extensions of local number fields."
Journal de Théorie des Nombres de Bordeaux,
14 #1 (2002) 113-149.
- 6. "Biquadratic extensions with one break."
Canadian Mathematical Bulletin,
45 #2 (2002) 168-179.
co-author:
N. P. Byott
- 5. "Galois module structure of the ambiguous ideals in biquadratic extensions." Canadian Journal of Mathematics
,
50 #5 (1998) 1007-1047.
- 4. "Galois module structure of the ring of integers in wildly ramified Cp x Cp-extensions."
Canadian Journal of Mathematics,
49 #4 (1997) 722-735.
co-author: M. L. Madan
- 3. "Galois module structure of integers in wildly ramified cyclic extensions of degree p2."
Annales de L'Institut Fourier (Grenoble), 45 #3 (1995) 625-647.
Corrigendum:
Annales de L'Institut Fourier (Grenoble) 48 #2 (1998) 609-610.
-
- 2. " Galois module structure of integers in weakly ramified extensions."
Archiv der Mathematik, 64 (1995) 117-120.
co-author: M. L. Madan
- 1. "Galois module structure of integers in wildly ramified cyclic extensions."
Journal of Number Theory, 47 #2 (1994) 138-174. co-author: M. L. Madan