Cute Toon

Dale M. Rohm

eMail: drohm@uwsp.edu


Education:

Ph.D., Oregon State University, June 1987, Mathematics

Thesis title: Alternative Characterizations of Weak Infinite-Dimensionality and Their Relation to a Problem of Alexandroff's. Faculty advisor: Richard M. Schori.

B.S., University of Wisconsin-Madison, June 1979, Mathematics


Research Interests

My thesis research centered around using techniques of partitions and coverings to investigate various questions of geometric topology related to infinite-dimensional spaces. Such techniques were applied to obtain results on the dimension theory of product spaces related to problems dealing with classification of manifolds.

I used some techniques from geometric topology to study topological dynamics from an inverse system point of view. A few results were obtained. Results on the dynamics of discrete systems defined by some nonstandard functions were obtained.

Covering and packing questions related to error-correcting codes have become a major interest of mine.

Additional work concerns the images and probabilities related to random constructions of topological subspaces. Results concerning geometrical characterization of random chord constructions on the unit circle related to Bertrand's paradox were obtained.

Teaching Interests

I am very interested in the current reform movements in calculus and linear algebra. The implementation of technology in the undergraduate mathematics curriculum has been a goal of mine for over fifteen years.

My Favorite Courses

Discrete Mathematics (Math 305): Graph Theory, Algorithm Complexity, Coding Theory

Topology (Math 372): Geometric Topology and Low-Dimensional Topology

Linear Algebra (Math 220, Math 330): Matrix Representation of Graphs


Hobbies

Reading works by cyberpunk authors, playing my Taylor 514ce ( Pic1, Pic2, Pic3, Steel1, Steel2, Steel3, Steel4) and my Giannini Cadiz (Nylon1), studying natural philosophy, and fishing (these last two are essentially isomorphic).


Links to mathematics sites I find interesting.

Math&Computing Home PageMath&Computing Home Page UWSP Home PageUWSP Home Page