Professor

Department of Mathematics and Statistics

Auburn University, AL 36849

202 Parker Hall

334-844-6571

holmerr@auburn.edu

Department of Mathematics and Statistics

Auburn University, AL 36849

202 Parker Hall

334-844-6571

holmerr@auburn.edu

- MATH 2660 Topics in Linear Algebra
- MATH 5320/6320 Intro to Abstract Algebra II

- MATH 1617 Honors Calculus I
- MATH 5310/6310 Intro to Abstract Algebra I
- MATH 5500/6500 Intro to Topology
- MATH 7310 Algebra I
- MATH 7330 Linear Representations of Finite Groups
- MATH 8310 Homological Algebra I
- MATH 8320 Homological Algebra II

Auburn University | Professor | (2007-present) |

Auburn University | Associate Professor | (1994-2007) |

Auburn University | Assistant Professor | (1989-94) |

Yale University | J. W. Gibbs Instructor | (1987-89) |

- Ph.D. Mathematics (1987), University of Illinois-Urbana, Advisor: Professor Michio Suzuki.
- M.A. Mathematics (1982), University of Missouri-Columbia.
- Three years of study in music composition (1978-81), University of Missouri-Columbia.
- B.S. Education (Mathematics and Physics) (1978), University of Missouri-Columbia.

(Links are to preprints)

- Orthogonal bases
of Brauer symmetry classes of tensors for the dihedral group (with A. Kodithuwakku),
*Linear Multilinear Algebra*(2012), in press. - The coefficient
coalgebra of a symmetrized tensor space (with D. Turner),
*Linear Multilinear Algebra***60**(4) (2012), 385—396. - Asymptotic behavior of Iwasawa and
Cholesky iterations (with H. Huang and T.-Y. Tam),
*Linear Algebra and Its Applications*(2011), in press. - Population inertia and
its sensitivity to changes in vital rates or initial conditions
(with D. N. Koons and J. B. Grand),
*Ecology***88**(2007), 2857—2867. - Temporal and
latitudinal variation in Northern Bobwhite population dynamics
(with T. H. Folk and J. B. Grand),
*Population Ecology***49**(3) (2007), 211—219. - Group
Representations (with T.-Y. Tam), chapter in
*CRC Handbook of Linear Algebra*(2006), 68-1—11. - Simple modules for the restricted Cartan type Lie
algebras (with C. Zhang),
*Algebr. Represent. Theory***9**, no. 3 (2006), 285—307. - Numerical Range of the
Derivation of an Induced Operator (with C. K. Li and T.-Y. Tam),
*J. Austral. Math. Soc. (Series A)***82**(3) (2005), 325—343. - Orthogonality of
cosets relative to irreducible characters of finite groups,
*Linear Multilinear Algebra***52,**no. 2 (2004), 133—143. - A
generalization of the Deutsch-Jozsa quantum algorithm (with F.
Texier),
*Far East J. Math. Sci. (FJMS)***9,**no. 3 (2003), 319—326. - Some simple modules for
the restricted Cartan-type Lie Algebras (with C. Zhang),
*J. Pure Appl. Algebra***173,**no. 2 (2002), 135—165. - Simple
modules with character height at most one for the restricted Witt
algebras,
*J. Algebra***237,**no. 2 (2001), 446—469. - Distance to the
convex hull of an orbit under the action of a compact Lie group
(with T.-Y. Tam),
*J. Austral. Math. Soc. Ser. A***66,**no. 3 (1999), 331—357. - Simple restricted modules for the restricted
Hamiltonian algebra,
*J. Algebra***199,**no. 1 (1998), 229—261. - Orthogonal bases of
symmetrized tensor spaces,
*Linear Multilinear Algebra***39,**no. 3 (1995), 241—243. - A duality proof of a
theorem of P. Hill,
*Proc. Amer. Math. Soc.***123,**no. 2 (1995), 351—353. - Dimensions of the simple restricted
modules for the restricted contact Lie algebra,
*J. Algebra***170,**no. 2 (1994), 504—525. - Cartan invariants for the
restricted toral rank two contact Lie algebra,
*Indag. Math. (N.S.)***5,**no. 3 (1994), 291—305. - Block degeneracy and
Cartan invariants for graded Lie algebras of Cartan type (with
D. Nakano),
*J. Algebra***161,**no. 1 (1993), 155—170. - Symmetry classes of
tensors associated with certain groups (with T.-Y. Tam),
*Linear Multilinear Algebra***32,**no. 1 (1992), 21—31. - An algorithm for the
projective characters of finite Chevalley groups,
*Rocky Mountain J. Math.***22,**no. 2 (1992), 611—630. - Simple restricted modules for the restricted contact
Lie algebras,
*Proc. Amer. Math. Soc.***116,**no. 2 (1992), 329—337. - Brauer-type
reciprocity for a class of graded associative algebras (with D.
Nakano),
*J. Algebra***144,**no. 1 (1991), 117—126. - Projective characters
of finite Chevalley groups,
*J. Algebra***124,**no. 1(1989), 158—182.