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Papers and projects:

Higher categories:

1. Weak $n$-categories are sheaves on iterated submersions of $\leq n$-manifolds
(with Nick Rozenblyum; to appear)

2. Weak $n$-categories with adjoints are sheaves on $n$-manifolds
(with Nick Rozenblyum; in preparation)

3. K-theory of weak n-categories and higher traces
(with Andrew Blumberg; early stages)

4. Factorization homology:

5. Structured singular manifolds and factorization homology
(with John Francis and Hiro Tanaka -- submitted)

6. Koszul Poincar\'e duality
(with John Francis -- in preparation)

7. $\Theta_n$:

8. Configurations spaces and $\Theta_n$
(with Richard Hepworth -- to appear in the Proceedings of the AMS)

9. The Ran complex and $\Theta_n$
(with Richard Hepworth; to appear)

10. Combinatorialization of factorization algebras and little disks
(with Richard Hepworth; in preparation)

11. String topology:

12. Higher string topology
(with Kate Poirier -- early stages)

13. Stable moduli spaces:

14. Geometric cobordism categories
(PhD thesis -- 82 pages)

15. Stable topology of moduli spaces of curves in complex projective space
(19 pages)

16. Counting bitangents with stable maps
(with Renzo Cavalieri -- Expositiones Mathematicae, volume 24, no. 4, pages 307-335)

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