Wlodzimierz (Wlodek) Kuperberg
Department of Mathematics & Statistics
Auburn University

I am a faculty member of the Department of Mathematics and Statistics, Auburn University. During the current Semester (Fall 2013), I am teaching Linear Differential Equations MATH 2650 and Discrete Geometry and Convexity I, MATH 7110. I can can be seen in my office on Mondays, Wednesdays and Fridays at 9:00-9:50 a.m. or by appointment made by e-mail or telephone (see below).

I can be reached by

My interests in mathematics are GEOMETRY and TOPOLOGY. Click on either one of the two to see the list of my publications on the topic.


Here is a problem in geometry: What is the minimum number of unit cubes in d dimensions which can cover a larger cube? For example, three unit squares (in the plane) can cover a larger square, but two cannot. It is not hard to show that d+1 unit d-cubes can cover a larger d-cube, but is d+1 the smallest number possible? If you can answer this question, even in some special cases, please write to me about it.

By the way, a similar question can be asked about other solids in place of the cube. The d-ball is an interesting, yet fairly easy, example:

THEOREM: The smallest number of unit d-balls that can cover a larger d-ball is d+1.

The proof can be assigned to geometry students as a nice exercise.


Despite my relatively old age (I am well over 40), I have recently won a


If you don't believe me, see for yourself!

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Page last updated on August 23, 2013