J. Fowler

activity

20122022

most citedThe no-three-in-line problem on a torus

4 citations · 5 across the 5 of their papers we have counts for

collaborators

5 papers

math.GT2022

Linear actions of $Z / p \times Z / p$ on $S^{2 n - 1} \times S^{2 n - 1}$

Jim Fowler, Courtney Thatcher

For an odd prime $p$ , we consider free actions of $(Z / p)^{2}$ on $S^{2 n - 1} \times S^{2 n - 1}$ given by linear actions of $(Z / p)^{2}$ on $R^{4 n}$ . Simple example…

math.GT2019

$Z_{/ p} \times Z_{/ p}$ actions on $S^{n} \times S^{n}$

Jim Fowler, Courtney Thatcher

We determine the homotopy type of quotients of $S^{n} \times S^{n}$ by free actions of $Z_{/ p} \times Z_{/ p}$ where $2 p > n + 3$ . Much like free $Z_{/ p}$ actions, t…

math.GT2014★ 1 cited

Smooth manifolds with prescribed rational cohomology ring

Jim Fowler, Zhixu Su

The Hirzebruch signature formula provides an obstruction to the following realization question: given a rational Poincaré duality algebra $A$ , does there exist a smooth m…

math.GT2012

Finiteness properties for some rational Poincaré duality groups

Jim Fowler

A combination of Bestvina--Brady Morse theory and an acyclic reflection group trick produces a torsion-free finitely presented Q-Poincaré duality group which is not the fundamental…

math.CO2012★ 4 cited

The no-three-in-line problem on a torus

Jim Fowler, Andrew Groot, Deven Pandya +1

Let $T (Z_{m} \times Z_{n})$ denote the maximal number of points that can be placed on an $m \times n$ discrete torus with "no three in a line," meaning no three in a coset of a cycli…

Linear actions of Z/p×Z/p on S2n−1×S2n−1

Z/p​×Z/p​ actions on Sn×Sn

Smooth manifolds with prescribed rational cohomology ring

Finiteness properties for some rational Poincaré duality groups

The no-three-in-line problem on a torus

Linear actions of $Z / p \times Z / p$ on $S^{2 n - 1} \times S^{2 n - 1}$

$Z_{/ p} \times Z_{/ p}$ actions on $S^{n} \times S^{n}$