Publications &
Preprints

AI / Computational Neuroscience
1. Bayes3D: Fast learning and inference in structured generative models of 3D objects and scenes with N. Gothoskar, M. Ghavami, E. Li, A. Curtis, M. Noseworthy, K. Chung, B. Patton, W. Freeman, J. Tenenbaum, and V. Mansinghka, arXiv preprint (2023), 7 pages.
2. Fragmented Spatial Maps: State abstraction and efficient planning from surprisal with S. Sharma, Y. Du, T Lozano-Perez, L. Kaelbling, and I. Fiete (2021, under review).
3. Flexible representation of higher-dimensional cognitive variables with grid cells with M. Lewis, and I. Fiete, PLOS Comput. Biol. (2020), 13 pages.
4. Efficient Inference in Structured Spaces (this is a "Cell-preview" for the Tolman-Eichenbaum Machine by Whittington et al.) with H. Sanders, M. Wilson, S. Sharma, and I. Fiete, Cell (2020), 1 page.
5. A framework for intelligence and cortical function based on grid cells in the neocortex with J. Hawkins, M. Lewis, S. Purdy, and S. Ahmad, Front. Neural Circuits 12 (2019), 14 pages.

Mathematics
1. Nested open books and the binding sum, with S. Durst, Osaka J. Math. 58-1 (2021), 33 pages.
2. Open books and exact symplectic cobordisms Internat. J. Math. 29 (2018), 19 pages .
3. Open book decompositions of fibre sums in contact geometry Algebr. Geom. Topol. 16 (2016), 25 pages.
4. Computing the Thurston-Bennequin invariant in open books, with S. Durst and M. Kegel, Acta Math. Hungar. 150 (2016), 15 pages.
5. The fundamental group of the space of contact structures on the 3-torus, with H. Geiges, Math. Res. Lett. 21 (2014), 6 pages.
6. On prolongations of contact manifolds, with B. Sahamie, Proc. Amer. Math. Soc. 141 (2013), 7 pages.
7. Isotopy classification of Engel structures on circle bundles, with B. Sahamie, arXiv preprint (2012), 13 pages.