Böcker i Contemporary Mathematics-serien

Illustrates the fruitful interaction between abstract theory and explicit computations, covering a large range of topics, including Belyi maps, Galois representations attached to elliptic curves, reconstruction of curves from their Jacobians, isogeny graphs of abelian varieties, hypergeometric equations, and Drinfeld modules.

Features surveys and research articles from five broad research areas: algebra, analysis, combinatorics, geometry, and topology. Topics range from general relativity and mathematical physics to interactions between logic and ergodic theory.

Presents the proceedings of the AMS Special Session on 'Celebrating M.M. Rao's Many Mathematical Contributions'. The articles show the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes and their applications.

Articles in this volume cover various areas of factorization theory, homological algebra, ideal theory, representation theory, homological rigidity, maximal Cohen-Macaulay modules, and the behavior of prime spectra under completion, as well as some topics in related fields.

Vladimir Abramovich Rokhlin (1919-1984) was one of the leading Russian mathematicians of the second part of the twentieth century. Topics covered in this volume include topology of manifolds, theory of cobordisms, knot theory, geometry of real algebraic manifolds and dynamical systems and related topics.

Contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-17), held in June 2019. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series.

Contains the proceedings of the AMS Special Session on Polytopes and Discrete Geometry, held in April 2018, at Northeastern University. The papers showcase the breadth of discrete geometry through many new methods and results in a variety of topics. Also included are survey articles on some important areas of active research.

Presents selected expository lectures delivered at the 2018 Maurice Auslander Distinguished Lectures and International Conference, held in April 2018. Topics include an introduction to a new class of quiver algebras on surfaces called 'geodesic ghor algebras', and a presentation of Feynman categories from a representation-theoretic viewpoint.

Presents the proceedings of the conference 'Representation Theory XVI', held in June 2019. The articles address selected aspects of representation theory of reductive Lie groups and vertex algebras, and are written by prominent experts in the field as well as junior researchers.

Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucon, Chile in 2016, 2017, and 2018. The papers cover recent developments on the theory of algebraic varieties - in particular, of their automorphism groups and moduli spaces.

Presents a collection of articles on abelian varieties and number theory dedicated to Gerhard Frey's 75th birthday. The book contains original articles by experts in the area of arithmetic and algebraic geometry.

Contains the proceedings of the workshop 'Crossing the Walls in Enumerative Geometry', held in May 2018. The volume features a collection of both expository and research articles about mirror symmetry, quantized singularity theory (FJRW theory), and the gauged linear sigma model.

Papers in this volume cover theory, tame algebras, and the use of quadratic forms in representation theory. Also included are papers on the categorical approach to representations of algebras and relations to Lie theory, Cohen-Macaulay modules, quantum groups and other algebraic structures.

Contains the proceedings of a conference celebrating the work of Steven Boyer, held in June 2018. The articles cover a broad range of topics related, but not limited, to the topology and geometry of 3-manifolds, properties of their fundamental groups and associated representation varieties.

A volume put together by the National Association of Mathematicians to commemorate its 50th anniversary. The articles are based on lectures presented at several events at the Joint Mathematics Meeting held from January 16-19, 2019, in Baltimore, Maryland.

Covers developments in control theory and inverse problems, including the problem of Calderon, which consists of determining a conductivity appearing in an elliptic equation from excitation and measurements on a part of the boundary of the domain, and an introduction to the mathematical analysis of inverse spectral problems of Borg- Levinson type.

Presents several themes of contemporary representation theory together with some new tools, such as stable ?-categories, stable derivators, and contramodules. Coverage includes the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recollements and purity, and maximal green sequences.

Presents a celebration of the geometry of submanifolds and its connections with other areas of mathematics and cover themes rooted in Bang-Yen Chen's work, from investigations on the spectrum of the Laplacian on complete Riemannian manifolds to the geometry of symmetric spaces.

Presents a broad introduction to the frontiers of research that has been spurred on by Borel's 1919 conjecture and identifies fundamental unanswered research problems in the field. Philosophers of science and historians of mathematics can glean some of the typical trends in the discovery, innovation, and development of mathematical theories.

Includes papers covering topics in computational number theory and computational algebra, and twelve papers covering topics such as machine learning, high dimensional approximations, nonlocal and fractional elliptic problems, gradient flows, hyperbolic conservation laws, Maxwell's equations, Stokes's equations, and iterative methods.

Explores active research on vertex operator algebras and vector-valued modular forms and offers original contributions to the areas of vertex algebras and number theory, surveys on some of the most important topics relevant to these fields, introductions to new fields related to these, and open problems from some of the leaders in these areas.

Contains the proceedings of the ICM 2018 satellite school and workshop $K$-theory conference in Argentina. The volume showcases current developments in $K$-theory and related areas, including motives, homological algebra, index theory, operator algebras, and their applications and connections.

Contains the proceedings of the International Conference on Algebra and Related Topics, held in July 2018, in Rabat, Morocco. The volume contains several articles on various aspects of preservers, including such topics as Jordan isomorphisms, Aluthge transform, joint numerical radius on $C^*$-algebras, and advertible complete algebras.

Contains the proceedings of the AMS Special Session, in honour of S.K. Jain's 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held in March 12018, at Ohio State University. The articles presented showcase the current state of art in categorical, homological and combinatorial aspects of algebra.

Contains the proceedings of Simon Fest, held in honour of Simon Thomas's 60th birthday, in September 2017 at Rutgers University. The topics covered showcase recent advances from a variety of main areas of set theory, including descriptive set theory, forcing, and inner model theory, in addition to several applications of set theory.

Features a series of recent developments at the interface between harmonic analysis and partial differential equations and is aimed toward the theoretical and applied communities of researchers working in real, complex, and harmonic analysis, partial differential equations, and their applications.

With articles coming from mathematics, physics, and computer science, this volume aims to provide a taste of different sub-disciplines for novices and a wealth of new perspectives for veteran researchers. Regardless of your point of entry into topological quantum computing or your experience level, this volume has something for you.