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Sets of Finite Perimeter and Geometric Variational Problems
An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers.
Optimal Mass Transport on Euclidean Spaces
This is a graduate-level introduction to the key ideas and theoretical foundation of the vibrant field of optimal mass transport in the Euclidean setting. Taking a pedagogical approach, it introduces concepts gradually and in an accessible way, while also remaining technically and conceptually complete.
Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
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Multiplicity-free Representations of Algebraic Groups
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Symbolic Extensions of Amenable Group Actions and the Comparison Property
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Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations
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Categories and Representation Theory
This book gives a self-contained account of applications of category theory to the theory of representations of algebras. Its main focus is on 2-categorical techniques, including 2-categorical covering theory. The book has few prerequisites beyond linear algebra and elementary ring theory, but familiarity with the basics of representations of quivers and of category theory will be helpful. In addition to providing an introduction to category theory, the book develops useful tools such as quivers, adjoints, string diagrams, and tensor products over a small category; gives an exposition of new advances such as a 2-categorical generalization of Cohen-Montgomery duality in pseudo-actions of a gr...
