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Patrick Brosnan
Researcher at University of British Columbia
Publications - 42
Citations - 894
Patrick Brosnan is an academic researcher from University of British Columbia. The author has contributed to research in topics: Hodge structure & Essential dimension. The author has an hindex of 15, co-authored 38 publications receiving 809 citations. Previous affiliations of Patrick Brosnan include University of Maryland, College Park & University of California, Los Angeles.
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Steenrod operations in chow theory
TL;DR: An action of the Steenrod algebra is constructed on the mod p Chow theory of varieties over a field of characteristic different from p, answering a question posed in Fulton's intersection theory.
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On motivic decompositions arising from the method of Białynicki-Birula
TL;DR: In this paper, the authors generalize this decomposition to the case of a (possibly anisotropic) smooth projective variety homogeneous under the action of an isotropic reductive group.
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Matroids motives, and a conjecture of Kontsevich
Prakash Belkale,Patrick Brosnan +1 more
TL;DR: In this article, it was shown that a certain class of varieties with origin in physics generates the Denef-Loeser ring of motives, which disproves a conjecture of Kontsevich on the number of points of these varieties over finite fields.
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Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties
Patrick Brosnan,Timothy Y. Chow +1 more
TL;DR: In this paper, it was shown that the local invariant cycle map is an isomorphism if and only if the special fiber has palindromic cohomology, which is independent of the Hessenberg variety context.
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Matroids, motives and conjecture of Kontsevich
Prakash Belkale,Patrick Brosnan +1 more
TL;DR: In this article, it was shown that Kontsevich's conjecture is false by relating the schemes defined by Kirchhoff polynomials to the representation spaces of matroids, and that these schemes essentially generate all arithmetic of schemes of finite type over the integers.