Dale M. Rohm
, Mathematics, Oregon State UniversityB.S.
, Mathematics, University of Wisconsin - Madison
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 have also used techniques from geometric topology to study topological dynamics from an inverse system point of view. 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.
- Optimal game strategies and technology, Proceedings of the 6th International Conference on Technology in Collegiate Mathematics, Addison-Wesley (1994).
- Probably limaçons (with G. Kung), Proceedings of the 5th International Conference on Technology in Collegiate Mathematics, Addison-Wesley (1993).
- Weakly infinite-dimensional product spaces, Proceedings of the American Mathematical Society 111 (1991).
- Products of infinite-dimensional spaces, Proceedings of the American Mathematical Society 108 (1990). This paper was also presented at the 838th meeting of the A.M.S. at Los Angeles, November 1987.
- Stable maps into the hilbert cube (with D.J. Garity), Proceedings of the American Mathematical Society 104 (1988).
- Alternative characterizations of weak infinite-dimensionality, Proceedings of the 1987 Western Geometric Topology Workshop at Corvallis, Oregon.
- Why I love block matrices: Revisiting the recommendations of the Linear Algebra Curriculum Study Group, the 67th annual meeting of the Wisconsin Section of the M.A.A., Superior, Wisconsin, April 2000.
- Modeling extinction of the spotted owl via discrete linear dynamical systems, The Fourth Annual Minds-On Science Teacher Inservice at the University of Wisconsin-Stevens Point, October 1996.
- The Kahn-Kalai counterexample to Borsuk's conjecture, the 61st annual meeting of the Wisconsin Section of the M.A.A., Eau Claire, Wisconsin, April 1994.
- Optimal game strategies and technology, The Sixth International Conference on Technology in Collegiate Mathematics at Parsippany, New Jersey, November 1993.
- At random: Bertrand's paradox in probability and simulation, The summer joint meetings of the A.M.S., M.A.A., C.M.S. at Vancouver, BC, Canada, August 1993.
- Beyond the Brouwer fixed-point theorem: stable maps in dimension theory, the 60th annual meeting of the Wisconsin Section of the M.A.A. at Appleton, Wisconsin, April 1993.
- Discrete dynamical systems: An aid for discovery, The 1992 annual meeting of the Wisconsin Mathematics Council at Green Lake, Wisconsin, May 1992.