367 citations · 1.6k across the 63 of their papers we have counts for
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An exploration of the permanent-determinant method
Greg Kuperberg
The permanent-determinant method and its generalization, the Hafnian-Pfaffian method, are methods to enumerate perfect matchings of plane graphs that was discovered by P. W. Kastel…
The bottleneck conjecture
Greg Kuperberg
The Mahler volume of a centrally symmetric convex body K is defined as M(K)= (Vol K)(Vol K^dual). Mahler conjectured that this volume is minimized when K is a cube. We introduce th…
Circumscribing constant-width bodies with polytopes
Greg Kuperberg
Makeev conjectured that every constant-width body is inscribed in the dual difference body of a regular simplex. We prove that homologically, there are an odd number of such circum…
Another low-technology estimate in convex geometry
Greg Kuperberg
We give a short argument that for some C > 0, every n-dimensional Banach ball K admits a 256-round subquotient of dimension at least C n/(log n). This is a weak version of Milman's…
Generalized counterexamples to the Seifert conjecture
Greg Kuperberg, Krystyna Kuperberg
Using the theory of plugs and the self-insertion construction due to the second author, we prove that a foliation of any codimension of any manifold can be modified in a real analy…