Publications

[Preprints]

15. "Integral Galois Module Structure for Elementary Abelian Extensions with a Galois Scaffold." submitted, arXiv.org page

co-author: Nigel 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: Nigel 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: Jeff 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: Nigel P. Byott

9. "The Galois structure of ambiguous ideals in cyclic extensions of degree 8." arXiv.org page

Noncommutative algebra and geometry, Lect. Notes Pure Appl. Math., vol. 243, Chapman & Hall/CRC, Boca Raton, FL, 2006, pp. 63--89

8. " New ramification breaks and additive Galois structure. "

Journal de Théorie des Nombres de Bordeaux, 17 #1 (2005), 87-107.
co-author: Nigel 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: Nigel 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 C_p x C_p -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