### Professional Preparation

Ph.D - Mathematics

**University Of Houston** - 1997

M.S. - Mathematics

**North Dakota State University** - 1989

B.S. - Mathematics

**North Dakota State University** - 1987

### Research Areas

##### λ(n)-convex functions Vondermonde Matrices and Convex Functions

https://www.sciencedirect.com/science/article/pii/0022247X9290272F - The goal of this research is to characterize the λ(*n*)-convex functions in terms of determinants and divided differences Vondermonde Matrices and Convex Functions.
##### Closest Matrices in the Space of Generalized Doubly Stochastic Matrices

https://www.sciencedirect.com/science/article/pii/S0022247X98959704 - Let Ω̂*(n) *denote the set of generalized doubly stochastic *n* × *n *real matrices; that is matrices whose row and column sums are 1. The research in this paper concerns finding the closest matrix *B** in Ω̂*(n) *to a given matrix *A *in **M(n)**, the space of *n* × *n *real matrices. Let *J(n) *be the *n* × *n *matrix whose entries are all equal to 1/*n *and let I(n) be the*n* × *n *identity matrix in **M(n)**. We prove that *B** = *WAW* + *J(n)*, where *W* = *I(n)* − *J(n)*.
### Affiliations

##### Texas Mathematical Association of Two-Year Colleges

President - 2010-2012

##### Texas Association of Academic Administrators in the Mathematical Sciences

President - 2009-2010

##### Texas Community College Teacher Association

Secretary - 2013-2-14