Doctoral students of Lindsay N. Childs (all at Univ. at Albany)

Susan Hurley, Ph. D., 1984, "Tame and Galois Hopf objects with normal bases". Her thesis was published in two papers:

L. Childs and S. Hurley, Tameness and local normal bases for objects of finite Hopf algebras, Trans. Amer. Math. Soc. 298 (1986), 763-778.
S. Hurley, Galois objects with normal bases for free Hopf algebras of prime degree, J. Algebra 109 (1987), 292-318.

She is a professor at Siena College.

Steven Tesser, Ph. D., 1984, "On certain representations of a generalized Clifford algebra". Work on his thesis led to two papers:

S. Tesser, Representations of a Clifford algebra that are Azumaya algebras and generate the Brauer group, J. Algebra 123 (1988), 265-281.
D. Haile, S. Tesser, On Azumaya algebras arising from Clifford algebras, J. Algebra 116 (1988), 372-384.

David Weinraub, Ph. D., 1990, "Cofinite induction and Noether's theorem for Hopf orders in group algebras". His thesis led to two papers:

D. Weinraub, Noether's theorem for Hopf orders in group algebras, Trans. Amer. Math. Soc. 342 (1994), 563-574.
D. Weinraub, Cofinite induction and Artin's theorem for Hopf algebras, J. Algebra 175 (1995), 799-810.

He is a web designer in Phuket, Thailand. His website is http://weinraub.com which has some amazing pictures of the 2005 tsunami that devastated Phuket.

Robert Underwood, Ph. D., 1992, "Hopf algebra orders over a discrete valuation ring, their duals, and extensions of R- groups". His thesis led to several papers, including:

R. G. Underwood, R-Hopf algebra orders in KC_(p^2), J. Algebra 169 (1994), 418-440.
R. G. Underwood, The valuative condition and R-Hopf algebra orders in KC_(p^3), American J. Math. 118 (1996), 701-743.

He is Distinguished Research Professor at Auburn University Montgomery: his website is here.

David Moss, Ph. D., 1994, "Kummer theory for formal groups". His thesis led to two papers:

L. N. Childs, D. J. Moss, Hopf algebras and local Galois module theory, in Advances in Hopf Algebras, J. Bergen, S. Montgomery, eds., Marcel Dekker, Inc., New York, 1994, 1-24.
D. J. Moss, Hopf Galois Kummer theory of formal groups, Amer. J. Math. 118 (1996), 301--318.

He is principal of Moss Solutions, a business software company. Its web address is http://david-moss.com

Maureen Cox Paul, Ph. D., 1994, "The image of the Picard invariant map for Hopf Galois extensions". Her thesis was not published, but results in her thesis were generalized by S. Caenepeel and N. Byott. She is presently associate professor and chair of the Department of Mathematics at St. Bonaventure University: its website is here.

Alan Koch, Ph. D., 1995, "Cyclic Dieudonne modules, Witt subgroups, and their lifts to characteristic zero". Published papers related to his thesis include:

A. Koch, Lifting Witt subgroups to characteristic zero, New York J. Math. 4 (1998), 127- 136.
A. Koch, Monogenic Bialgebras Over Finite Fields and Rings of Witt Vectors, Journal of Pure and Applied Algebra, J. Pure Appl. Alg. 163 no. 2 (2001), 193-207.
A. Koch, Witt Subgroups and Cyclic Dieudonne Modules Killed By p, Rocky Mountain Journal of Mathematics, 31 no. 3 (2001).

He is an associate professor at Agnes Scott College; his website is here.

Timothy Kohl, Ph. D., 1996, "Classification of abelian Hopf algebra forms acting on radical extensions". His thesis was published as:

T. Kohl, Classification of the Hopf algebra structures on prime power radical extensions, J. Algebra 207 (1998), 525-546.

He is at Boston University; his website is here.

Harold H. Smith III, Ph. D. 1997, "Constructing Hopf orders in elementary abelian group rings". His thesis led to:

Lindsay N. Childs, Harold H. Smith III, Dual Hopf orders in group rings of elementary abelian p-groups, J. Algebra 294 (2005), 489-518.

He is an Associate Professor of Information Sciences and Technology at Penn State New Kensington. His website is here.

ManYiu Tse, Ph. D., 1997, "Hopf algebra actions on elementary abelian extensions of degree p^2". He is on the faculty of Molloy College.

Stephen Featherstonhaugh, Ph. D., 2003, "Abelian Hopf Galois structures on Galois field extensions of prime power order". He is Adjunct Program Coordinator in the Mathematics Department at the Borough of Manhattan Community College. His website is here.

Revised December 28, 2009