Differential geometry, Complex geometry, Complex analysis, Surface theory, Value distribution theory. Value-distribution-theoretic properties for Gauss maps of various classes of surfaces Our aim of this study is to elucidate global behavior of Gauss maps of immersed surfaces in space-forms, for example, minimal surfaces and constant mean curvature CMC, for short surfaces in Euclidean space, flat surfaces in hyperbolic three-space. We plan to obtain Bernstein type theorems and Weierstrass type representations for immersed surfaces.
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From The Lab
Toshiaki Kawakami, M. The laboratory has been studying mainly mast cells, an important cell type found in mucosal as well as connective tissues that is responsible for the allergic reactions that trigger itching, wheezing, and sneezing. These symptoms of allergic reactions occur after mast cells are activated. When exposed to allergens substances, such as pollen, that cause allergies , IgE-bound mast cells are activated and secrete numerous chemical, lipid, nucleotide, peptide, and protein mediators. These mediators, together with other immune cells, orchestrate complex cellular and molecular interactions to induce allergic reactions. Increasing numbers of signaling molecules are shown to be important for mast cell activation. Kawakami and his colleagues focus on dissecting the complex network of signaling molecules, particularly those involved in the early phase of mast cell activation. Conventional belief was that IgE-mediated mast cell activation requires multivalent allergen or antigen to induce mast cell activation. However, in Dr.
Associate Professor Kawakami Yu
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