37 research outputs found

    Xavier Gonzalez

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    This essay analyzes a sampling of Xavier Gonzalez’s paintings and murals, and examines the connections between Gonzalez and Pablo Picasso through journals and notes by Gonzalez himself. Gonzalez’s career as an artist spanned decades, during which he explored many different types of media. His watercolors draw upon a Cubist legacy and integrate geometric elements within his realist subject matter. Gonzalez’s murals for the New Orleans Lakefront Airport feature sweeping scenes of flight that capture the modern experience. The murals represent the apex of Gonzalez’s career as an artist working in public spaces, though they later faded into oblivion as the airport lost its luster. Gonzalez’s later paintings from the 1940s and 1950s engage emotionalism and humanism, and operate on multiple levels of meaning. From Gonzalez’s own notes, one can gain insight into how the influences and observations of Pablo Picasso aided him to define his work and his approach to art in general. Both natives of Spain, Picasso and Gonzalez shared an aversion to reading about or critiquing art. Instead, Gonzalez relied on his observations of other artists, such as Picasso and his wife Ethel Edwards. In lieu of a definitive biography or catalogue raisonné of Gonzalez’s art yet to be written, this essay should serve as starting point for further Gonzalez research to be undertaken in the future

    Quasi-isometric embeddings from mapping class groups of nonorientable surfaces (Women in Mathematics)

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    Classifying finitely generated groups by quasi-isometries is a key issue in geometric group theory: two groups are quasi-isometric if, roughly speaking, their word metrics are the same up to linear functions. It is known that the mapping group Mod(N) of a nonorientable surface N is a subgroup of the mapping group Mod(S) of its double covering orientable surface S. We show that the injective homomorphism is a quasi-isometric embedding. This is a joint work with Takuya Katayama

    Right-angled Artin groups and curve graphs of nonorientable surfaces

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    Let NN be a closed nonorientable surface with or without marked points. In this paper we prove that, for every finite full subgraph Γ\Gamma of Ctwo(N)\mathcal{C}^{\mathrm{two}}(N), the right-angled Artin group on Γ\Gamma can be embedded in the mapping class group of NN. Here, Ctwo(N)\mathcal{C}^{\mathrm{two}}(N) is the subgraph, induced by essential two-sided simple closed curves in NN, of the ordinal curve graph C(N)\mathcal{C}(N). In addition, we show that there exists a finite graph Γ\Gamma which is not a full subgraph of Ctwo(N)\mathcal{C}^{\mathrm{two}}(N) for some NN, but the right-angled Artin group on Γ\Gamma can be embedded in the mapping class group of NN.Comment: 16 pages, 7 figure
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