My research focus is in differential geometry and algebraic topology.

- With C. Searle: Non-negatively
curved 6-manifolds with almost maximal symmetry rank, arxiv.org/abs/1612.01962.

- With C. Searle: Non-negative
curvature and torus actions, arxiv.org/abs/1506.08685.

- With E. Zhang, V. Jadye, P., P. Wongka, Y. Zhang, X. Gao: Horizon measures: a novel view-independent shape descriptor,

November 2016, SA`16: SIGGRAPH ASIA 2016 Technical Briefs.

- With P. Montagantirud: Classifying
seven dimensional
manifolds of fixed cohomology type , Diff. Geom. and its Appl.,
2016, no. 49, 312--325.

- With W. Ziller:
Topology of
non-negatively curved manifolds, Ann. of Global Analysis and
Geom., 2014, no. 46, Issue 1, 23-55.

- With S. Ultman:
Topological
structure of candidates for positive curvature, Topology Appl.,
2011, no. 1, 38-51.

- With T. Chinburg and W. Ziller:
Topological properties of Eschenburg spaces and 3-Sasakian spaces,
Math. Ann., 2007, no. 339, 3-20.

- A
diffeomorphism classification of generalized Witten manifolds,
Geom. Ded. 2005, no. 115, 79 -- 120.

- With D. Crowley: A
classification of S^3-bundles over S^4, Diff. Geom. and its
Appl., 2003, no. 18, 363 -- 380.

- With G. Weingart: Orbits of
SU(2) - representations and Minimal Isometric Immersions, Math.
Ann., 2000, no. 316, 743 -- 769.

- On
inhomogeneous spherical space forms, Diff. Geom. Appl. 1999, Volume
11, 39-53.

- Rigidity of
minimal isometric immersions of spheres into spheres , Geom. Ded.
1998, Volume 73, 275-293.

- Minimal
isometric immersions of inhomogeneous space forms, Trans.
Amer.
Math. Soc. 1996, Volume 348, Number 9, pp. 3713-3731.

- With J. Martin, K. Davis and B. E. Law: Correcting
for scaling errors associated with gap based dendrometer bands .