Preprints and publications

  1. Khovanov homology detects the figure‐eight knot (With J Baldwin, A Levine, T Lidman, and R Sazdanavic): Bulletin of the London Mathematical Society. 53.03: 871-876. arXiv:2007.01269, 2020.

  2. Relating tangle invariants for Khovanov homology and knot Floer homology (with A Alishahi): (under review) arXiv:1909.03865, 2019.

  3. A spectral sequence from Khovanov homology to knot Floer homology: (recommended for acceptance at JAMS) arXiv:1811.07848, 2018.

  4. A link invariant related to Khovanov homology and knot Floer homology (With A Alishahi): (under review) arXiv:1810.13406, 2018.

  5. A family of sl(n)-like invariants in knot Floer homology: (to appear in Quantum Topology) arXiv:1804.03165, 2018.

  6. The Lee spectral sequence, unknotting number, and the knight move conjecture (With A Alishahi): Topology and its Applications, 254: 29-38 arXiv:1710.07875, 2017.

  7. Manual for using homomorphic encryption for bioinformatics (With K Laine, R Gilad-bachrach, KE Lauter, M Naehrig, J Wernsing): Proceedings of the IEEE, 105 (3): 552-567 2017.

  8. Cryptonets: Applying neural networks to encrypted data with high throughput and accuracy (With K Laine, R Gilad-bachrach, KE Lauter, M Naehrig, J Wernsing): International Conference on Machine Learning, 48: 201-210 2016.

  9. Knot Floer homology and Khovanov-Rozansky homology for singular links: Alg. & Geom. Topology, 18.7: 3839-3885, arXiv:1511.08953, 2015.

  10. The knot Floer cube of resolutions and the composition product: Journal of Knot Theory and its Ramifications, 29.03: 2050006 arXiv:1508.03037, 2015.

Patents

  • Homomorphic Encryption with Optimized Parameter Selection, K Laine, N Dowlin, R Gilad-bachrach, M Naehrig, J Wernsing, KE Lauter, US Patent 20170134156.

  • Homomorphic Encryption with Optimized Encoding, K Laine, N Dowlin, R Gilad-bachrach, M Naehrig, J Wernsing, KE Lauter, US Patent 20170134157.

  • Homomorphic Encryption with Optimized Homomorphic Operations, K Laine, N Dowlin, R Gilad-bachrach, M Naehrig, J Wernsing, KE Lauter, US Patent 20170180115.