Ronald A. Walker

Assistant Professor of Mathematics

 

 

 

 

W-255K Olmsted Building

Dept. of Computer Science and Mathematical Sciences
Penn State Harrisburg

777 West Harrisburg Pike

Middletown, PA 17057 USA

 

Phone: (717)948-6673

Email: rawalker@psu.edu

 

Curriculum Vitae: (pdf)

 

 

Spring Office Hours:

            Monday           2:30-4:00pm

            Wednesday     2:30-4:00pm

            Thursday         3:00-4:00pm

            Or by appointment

 

 

Teaching

 

Fall Semester 2009

            CAP 160S: First-Year Seminar for Capital College, SSET (Updated Schedule)

 

Math 140: Calculus and Analytic Geometry I (Homework List)

 

            Math 430: Linear Algebra and Discrete Models I (Homework List)

 

Spring Semester 2009

Math 425: Introduction to Operations Research (Homework List)

 

Math 435: Basic Abstract Algebra (Homework List) (Problem Set List) (Project Task List) 

 

Previous Courses

 

 

Research

 

My primary area of research is in the area of several complex variables with some focus on complex analytic geometry.  The problems I study have readily led me into other areas, including partial differential equations, algebraic geometry, linear algebra, and even some combinatorics.  In particular, much of my research has sprung from a number of questions related to boundaries of holomorphic chains and analytic varieties.

 

PhD Thesis:

Concerning Characterizations of Boundaries of Holomorphic 1-Chains within Complex Surfaces, University of Michigan 2003 (pdf) (dvi) (ps)

 

Papers and Preprints:

  • Walker R., Marginal Sets of Young-like Sets and the Complexity of an Adaptive Algorithm for Multivariate Linear Dependence, submitted (pdf)
  • Walker R., Boundaries of holomorphic 1-chains within holomorphic line bundles over $\mathbb{CP}^1$, to appear in J. Geom. Anal. (pdf)
  • Walker R., Extended shockwave decomposability related to boundaries of holomorphic 1-chains within $\mathbb{CP}^2$, Indiana Univ. Math. J. 57 (2008) 1133-1172 (doi link) (pdf)
  • Walker R., Characterizations of boundaries of holomorphic 1-chains within $\hat{\mathbb{C} \times \hat{\mathbb{C}}$ and $\mathbb{C} \times \hat{\mathbb{C}}$, J. Geom. Anal. 18 (2008) 1159-1170 (doi link) (pdf)
  • Walker R., Linear dependence of quotients of analytic functions of several variables with the least subcollection of generalized Wronskians, Linear Algebra and its Applications 408 (2005) 151-160 (article via journal website) (pdf)
  • Karlovich Y., Spitkovsky I., Walker R., Almost periodic factorization of block triangular matrix functions revisited, Linear Algebra and its Applications 293 (1999) 199-232 (article via journal website)

 

 

Last modified: Sep. 14, 2009