Mathematics Algebra and Number Theory

Faculty:

• James Beidelman, Group Theory.
• Paul Eakin, Commutative Algebra
• Edgar Enochs, Homological Algebra
• Kenneth Kubota, Number Theory
• David Leep, Quadratic Forms
• Avinash Sathaye, Algebraic Geometry

Current Doctoral Students:

Ph. D. Graduates, 1990-2008

• Alina Iacob (E. Enochs), 2005
  Generalized Tate Cohomology
• Todorka Nedeva (E. Enochs), 2005
  Rings of Power Series in the Binomial Polynomials
• Kathy Sharrow-Pinzon (E. Enochs), 2005
  Absolutely Pure Modules
• Matthew Ragland (J. Beidleman), 2005
  On Generalizations of Finite Groups in which Normality is a Transitive Relation
• Molly Wesley (E. Enochs), 2005
  Torsion Free Covers of Graded and Filtered Modules
• Christopher Bullock (E. Enochs), 2002
  Chain Numbers of Modules
• Mark Motley (D. Leep), 2002
  Isomorphism Classes of Elliptic and Hyperelliptic Function Fields
• Andrew Sills (A. Sathaye), 2002
  Computer-Assisted Explorations of Rogers-Ramanujan Type Identities
• Sharon Sullivan (D. Leep), 2001
  Examples of Combinatorial Designs
• David Dempsey (E. Enochs), 2000
  Functors and the Preservation of Covers and Envelopes
• Makhmud Sagandykov (E. Enochs), 2000
  Homological Structures of Transformations Groups
• Julia Varbalow (E. Enochs), 2000
  Injective and Projective Representations of Quivers
• Stephen Aldrich (E. Enochs), 2000
  Exact and Semisimple Differential Graded Algebras and Modules
• Anthony Bevelacqua (D. Leep), 2000
  Isotropy of 4-dimensional torsion quadratic forms over F(x,y) for certain fields F
• Leanne Faulkner (D. Coleman), 1999
  Engel Properties for Modular Group Algebras
• Colin Starr (D. Leep), 1998
  Sums of Squares of Polynomials in R[x1,...,xn]
• Christopher Aubuchon (Enochs), 1998

A Functor from the Category of Complexes of Left R-Modules to the 
Category of Left R()-Modules
• William Ashby (Enochs), 1997
  The Characterization of Graded Principal Ideal Domains and Graded Torsion Free Covering Modules
• Jinzhong Xu (Enochs), 1997
  Flat Covers of Modules
• Laura Schueller (Leep), 1996
  Pairs of Quadratic Forms over Arbitrary Fields
• Okyeon Yi (Enochs), 1996
  Local Nilpotence of Envelopes and Universal Enveloping Algebras
• Albert Bronstein (Enochs), 1995
  On Representations of Quivers
• Clayton Brooks (Enochs) 1994

Homotopy Theory of Modules
• Vivian Cyrus (Enochs) 1994
  The Category of Monoids
• Sangwon Park (Enochs) 1992
  The Macaulay-Northcott Functor
• Victor Akatsa (Enochs) 1991
  Flat Envelopes and Negative Torsion Functors
• Jon Stenerson (Sathaye) 1991
  Space Curves as Set-Theoretic Complete Intersections
• Frank Branner (Enochs) 1991
  On the Projective Functor
• Glenn Lilly (Enochs) 1991

The C_l Generalization of Bailey's Transform and Bailey's Lemma
• Charles Yeomans (Leep) 1991
  Quintic Forms over Finite and Local Fields
• Mark Goddard (Enochs) 1990
  Projective Covers of Complexes

Sample Qualifying Coursework for Doctoral Students:

• MA 565 - Linear Algebra
• MA 561 - Modern Algebra I
• MA 661 - Modern Algebra II

Algebra Seminar