Grants per year
Personal profile
Research Interests
Arithmetic Geometry.
Education/Academic qualification
Mathematics, PhD, Massachusetts Institute of Technology
… → 2008
Mathematics, BA, Harvard University
… → 2004
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Collaborations and top research areas from the last five years
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Collaborative Research: Factorization Homology, Deformation Theory, and Duality
Francis, J. N. K. (PD/PI) & Francis, J. N. K. (PD/PI)
6/1/18 → 5/31/25
Project: Research project
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Collaborative Research: Factorization Homology and the Cobordism Hypothesis
Francis, J. N. K. (PD/PI)
6/1/15 → 5/31/19
Project: Research project
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Workshop in Equivariant, Chromatic, and Motivic Homotopy Theory
Goerss, P. G. (PD/PI) & Francis, J. N. K. (Co-PD/PI)
1/1/13 → 12/31/13
Project: Research project
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Factorization Homology and the Topology of Manifolds
Francis, J. N. K. (PD/PI)
7/1/12 → 6/30/15
Project: Research project
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NSF Mathematical Science Postdoctoral Research Fellowship (Institutional Allowance)
Francis, J. N. K. (PD/PI)
9/1/09 → 8/31/12
Project: Research project
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Natural symmetries of secondary Hochschild homology
Ayala, D., Francis, J. & Howard, A., 2024, In: Algebraic and Geometric Topology. 24, 4, p. 1953-2010 58 p.Research output: Contribution to journal › Article › peer-review
Open Access -
ZERO-POINTED MANIFOLDS
Ayala, D. & Francis, J., May 2021, In: Journal of the Institute of Mathematics of Jussieu. 20, 3, p. 785-858 74 p.Research output: Contribution to journal › Article › peer-review
6 Scopus citations -
Corrigendum to “Factorization homology I: Higher categories” [Adv. Math. 333 (2018) 1042–1177] Advances in Mathematics (2018) 333 (1042–1177), (S0001870818302068), (10.1016/j.aim.2018.05.031))
Ayala, D., Francis, J. & Rozenblyum, N., Aug 26 2020, In: Advances in Mathematics. 370, 107217.Research output: Contribution to journal › Comment/debate › peer-review
Open Access -
A stratified homotopy hypothesis
Ayala, D., Francis, J. & Rozenblyum, N., 2019, In: Journal of the European Mathematical Society. 21, 4, p. 1071-1178 108 p.Research output: Contribution to journal › Article › peer-review
Open Access10 Scopus citations -
Poincaré/Koszul Duality
Ayala, D. & Francis, J., Feb 7 2019, In: Communications in Mathematical Physics. 365, 3, p. 847-933 87 p.Research output: Contribution to journal › Article › peer-review
9 Scopus citations