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           2:00-3:00pm

            Tuesday           2:00-3:00pm

Wednesday     2:00-3:00pm

            Friday             9:45-10:45am

            Or by appointment

 

 

Teaching

 

Spring Semester 2010

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

 

Math 425: Introduction to Operations Research (Homework List)

 

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)

 

 

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., Rationality Criteria in Differential Fields of Several Variables, submitted (pdf)
  • 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 $\mathbb{CP}^1$, J. Geom. Anal. 20 (2010) 226-241 (doi link) (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: Jan. 11, 2010