In differential geometry, the cotangent space is a vector space associated with a point x {\displaystyle x} on a smooth (or differentiable) manifold M {\displaystyle {\mathcal {M}}}; one can define a ...

The use of algebraic methods for studying analysts is an important theme in modern mathematics. The most significant development in this field is microlocal analysis, that is, the local study of ...

The diffraction coefficients are constructed by finite series of cotangent functions, which have one-to-one correspondence with not only ordinary rays in the physical region but also hidden rays in ...

where $\mathbf{M},\mathbf{L} \in \mathbb{R}^{n\times n}$ are the mass and cotangent matrices respectively. When applied to the vertex positions, this operator gives a point-wise (or rather integral ...

This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is ...

For the deformation the user can choose between the following weights: Constant: Uniform: , where is the number of neighbors of vertex i Cotangent: Sparse matrices are supported and for the estimation ...

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Professor A.J. de Jong, Columbia university, Department of Mathematics. This Fall semester (2019) I am teaching our graduate course on commutative algebra and algebraic geometry. Tuesday and Thursday, ...

John McCleary, Vassar College, New York 'For such studies, the present book is excellent. It scores on a number of counts: It does a solid job on the big topics that launch the subject i.e., manifolds ...

We will continue our exploration of infinity categories from last semester and will investigate applications of the theory, particularly to derived algebraic geometry. Our ambitious goal is to shore ...

Since 1993, I have been on the faculty of Bryn Mawr College, where I greatly enjoy doing research and teaching students. My mathematical research is very visually motivated: I enjoy looking at some ...