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Personal profile

Research interests

Brett Parker works at the interface of algebraic and differential geometry, topology, and mathematical physics. He has invented a new kind of space, called an exploded manifold, useful for studying symplectic topology, holomorphic curves, and Gromov-Witten invariants.

 

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Research Output

Holomorphic curves in exploded manifolds regularity

Parker, B., 17 Jun 2019, In : Geometry and Topology. 23, 4, p. 1621-1690 70 p.

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Holomorphic curves in exploded manifolds virtual fundamental class

Parker, B., 17 Jun 2019, In : Geometry and Topology. 23, 4, p. 1877–1960 84 p.

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

De Rham theory of exploded manifolds

Parker, B. D., 6 Nov 2017, In : Geometry and Topology. 22, 1, p. 1-54 54 p.

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Three Dimensional Tropical Correspondence Formula

Parker, B., Jul 2017, In : Communications in Mathematical Physics. 353, 2, p. 791-819 29 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File
1 Citation (Scopus)

Holomorphic curves in exploded manifolds: Compactness

Parker, B., 1 Oct 2015, In : Advances in Mathematics. 283, p. 377-457 81 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File
5 Citations (Scopus)