During his mathematical career in the late 1960s, Kaczynski published a doctoral dissertation and several papers in academic journals, listed below. The full text of most of these papers can be found at many university libraries. When a title is highlighted, a link to a summary of the paper is provided.
Note: I am not a mathematician, so the mathematical notations in the summaries might be incorrect or incomplete. If you see an error that can be corrected, let me know and I'll fix it.
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Kaczynski, T.J. 1964. Another proof of Wedderburn's theorem. Am. Math. Month. 71:652-653.
Kaczynski, T.J. 1964. Distributivity and (-1)x = -x. Am. Math. Month. 71:689.
Kaczynski, T.J. 1965. Boundary functions for functions defined in a disk. J. Math. and Mech. 14(4):589-612.
Kaczynski, T.J. 1965. Distributivity and (-1)x = -x [with solution by Bilyeau, R.G.]. Am. Math. Month. 72:677-678.
Kaczynski, T.J. 1966. On a boundary property of continuous functions. Michigan Math. J. 13:313-320.
Kaczynski, T.J. 1969. The set of curvilinear convergence of a continuous function defined in the interior of a cube. Proc. Am. Math. Soc. 23:323-327.
Kaczynski, T.J. 1969. Boundary functions and sets of curvilinear convergence for continuous functions. Trans. Am. Math. Soc. 141:107-125.
Kaczynski, T.J. 1969. Boundary functions for bounded harmonic functions. Trans. Am. Math. Soc. 137:203-209.