Böcker i Contemporary Mathematics-serien

Provides an accessible yet swift introduction to a new and active area within algebraic geometry, which connects well with classical intersection theory. Combining both lecture notes and research articles pointing towards the manifold promising applications of this refined approach, this volume covers refined enumerative algebraic geometry.

Contains the proceedings of the AMS Special Session on Topology of Biopolymers, held April 2018, at Northeastern University. The papers cover recent results on the topology and geometry of DNA and protein knotting using techniques from knot theory, spatial graph theory, differential geometry, molecular simulations, and laboratory experimentation.

Contains the proceedings of the Conference on Complex Analysis and Spectral Theory, held in May 2018, at Laval University, Quebec. Spectral theory is the branch of mathematics devoted to the study of matrices and their eigenvalues, as well as their infinite-dimensional counterparts, linear operators and their spectra.

Contains the proceedings of the conference Dynamics: Topology and Numbers, held in July 2018. The papers cover diverse fields of mathematics with a unifying theme of relation to dynamical systems. These include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics.

Contains the proceedings of the conference "A Panorama on Singular Varieties", held in February 2017, at the University of Seville. The articles cover a wide range of topics in the study of singularities and should be of great value to graduate students and research faculty who have a basic background in the theory of singularities.

This volume contains the proceedings of the "Arizona School of Analysis and Mathematical Physics", held in March 2018, at the University of Arizona. The articles in this volume reflect recent progress and innovative techniques developed within mathematical physics.

Contains the proceedings of the Arizona Winter School 2016, held in March 2016 at The University of Arizona. The School provided a unique opportunity to introduce graduate students to analytic methods in arithmetic geometry.

Contains the proceedings of the CRM Workshops on Probabilistic Methods in Spectral Geometry and PDE, held in 2016 at the Centre de Recherches Mathematiques. This volume covers developments in active research areas at the interface of Probability, Semiclassical Analysis, Mathematical Physics, Theory of Automorphic Forms and Graph Theory.

Contains the proceedings of the workshop on Recent Trends in Operator Theory and Applications (RTOTA 2018). Topics addressed include generalized numerical ranges and their application to study perturbation of operators; a survey of results on Toeplitz operators; and results on the 2-local reflexivity problem of a set of operators.

This volume contains the proceedings of the International Conference on Algebra, Discrete Mathematics and Applications. Contemporary topics of research in algebra and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered.

Contains the proceedings of the 16th Carolina Dynamics Symposium, held in April 2018. The papers cover various topics in dynamics and randomness, including complex dynamics, ergodic theory, topological dynamics, celestial mechanics, symbolic dynamics, computational topology, random processes, and regular languages.

Contains contributions from speakers at the 2015-2018 Johns Hopkins University and University of Maryland Complex Geometry Seminar. The book includes a survey article on recent developments in pluripotential theory and its applications to Kahler-Einstein metrics and continues with articles devoted to aspects of the theory of complex manifolds.

This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas.

The second of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas.

Contains the proceedings of the 2016 Summer School on Fractal Geometry and Complex Dimensions, held in June 2016. Content is split into dimension gaps and the mass transfer principle, fractal strings and complex dimensions, Laplacians on fractal domains and SDEs with fractal noise, and aperiodic order (Delone sets and tilings).

Addresses various aspects of the theory of automorphic forms and its relations with the theory of $L$-functions, the theory of elliptic curves, and representation theory. This volume is intended for researchers interested in expanding their own areas of focus, thus allowing them to "build bridges" to mathematical questions in other fields.

Contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held in 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture. Papers cover recent developments in model theory, module theory and category theory, and their intersection.

Contains the proceedings of the conference "Homotopy Theory: Tools and Applications". The articles cover a variety of topics spanning the current research frontier of homotopy theory. This includes articles concerning both computations and the formal theory of chromatic homotopy.

Contains the proceedings of the scientific session "Hopf Algebras and Tensor Categories". Papers highlight the latest advances and research directions in the theory of tensor categories and Hopf algebras.

Contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications. The papers are related to noncommutative rings, covering topics such as ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance; and coding theory.

Contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding theory, differential equations, and more.

Contains the proceedings of the AMS Special Session on New Developments in the Analysis of Nonlocal Operators. Problems presented in this volume include uniqueness for weak solutions to abstract parabolic equations with fractional time derivatives and the behavior of the one-phase Bernoulli-type free boundary near a fixed boundary.

Addresses the latest trends and perspectives in the area of nonlinear dispersive equations and fluid flows. The topics mainly focus on using state-of-the-art methods and techniques to investigate problems of depth and richness arising in quantum mechanics, general relativity, and fluid dynamics.

Explores various topics of universal algebra, universal algebraic geometry, logic geometry, and algebraic logic, as well as applications of universal algebra to computer science, geometric ring theory, small cancellation theory, and Boolean algebras.

Presents original research articles covering a large range of topics, including weight enumerators for codes, function field analogs of the Brauer-Siegel theorem, the computation of cohomological invariants of curves, the trace distributions of algebraic groups, and applications of the computation of zeta functions of curves.

Includes research papers covering active areas of investigation, survey papers covering Leibniz algebras, self-distributive structures, and rack homology, and a sampling of applications ranging from Yang-Mills theory to the Yang-Baxter equation and Laver tables.

A collection of lecture notes and survey papers based on the minicourses given by leading experts at the 2016 CRM Summer School on Spectral Theory and Applications. Papers cover a broad variety of topics in spectral theory, starting from the fundamentals and highlighting its connections to PDEs, geometry, physics, and numerical analysis.

Contains the proceedings of the AMS Special Session on Unimodularity in Randomly Generated Graphs, held in 2016, in Denver, Colorado. Unimodularity, a term initially used in locally compact topological groups, is one of the main examples in which the generalization from groups to graphs is successful.

Presents, through a mix of research and expository articles, some of the fascinating new directions in number theory and representation theory arising from recent developments in the Langlands program. Special emphasis is placed on nonclassical versions of the conjectural Langlands correspondences, where the underlying field is no longer the complex numbers.

A tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov. It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work.