Research Interests
Geometric topology, rational homotopy theory.
Papers
- Almost complex manifold with Betti number b_i=0 except i=0,n/2,n, (2022), arXiv:2204.04800,
- (with Lee Kennard), On dimensions supporting a rational projective plane, Journal of Topology and Analysis, (2017) 1-21
- (with Jim Fowler), Smooth manifolds with prescribed rational cohomology ring, Geometriae Dedicata, 182(1) (2016), 215-232
- Rational analogs of projective planes, Algebraic & Geometric Topology, 14 (2014) 421-438
- PhD Thesis (2009): Rational homotopy types of manifolds, advisor: James Davis.