Research

My interests are in differential geometry. I am currently researching manifolds whose curvature tensors have large nullity distributions and so are flat in most directions. 

Papers

• J. Van Hook (2024), On the Geometry of Conullity Two Manifolds, Differential Geometry and its Applications, 92, 102081, DOI: 10.1016/j.difgeo.2023.102081.

• E. Cartee, A. Farah, A. Nellis, J. van Hook, A. Vladimirsky (2023), Quantifying and managing uncertainty in piecewise-deterministic Markov processes, SIAM/ASA Journal on Uncertainty Quantification, 11:3, 814-847, DOI: 10.1137/20M1357275.

• D. Clark, S. Mancini & J. Van Hook (2020) Misére Tic-Tac-Toe on Projective Binary Steiner Triple Systems, The American Mathematical Monthly, 127:5, 411-426, DOI: 10.1080/00029890.2020.1715706.