The aim of this textbook is to introduce readers at a graduate level to G-complete reducibility and explain some of its many applications across pure mathematics. It is based on the Oberwolfach Seminar of the same name which took...Loe edasi...
This book presents a rigorous, self-contained, and systematic study of CauchyRiemann (CR) manifolds and their deep connections to singularity theory. It synthesizes foundational contributions to CR geometry and complex singularity theory, including...Loe edasi...
This book grew out of a series of three Simons Symposia in 2019, 2022, and 2024, that focused on the interactions between three types of dynamics—algebraic, com...Loe edasi...
Sari: Elements in the Foundations of Contemporary Physics
(Ilmumisaeg: 31-May-2026, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781009663168)
For more than half a century, dualities have been at the heart of modern physics. This Element discusses what dualities are, gives a selection of examples, explores the themes and roles that make dualities interesting, and highlights their most sali...Loe edasi...
For more than half a century, dualities have been at the heart of modern physics. This Element discusses what dualities are, gives a selection of examples, explores the themes and roles that make dualities interesting, and highlights their most sali...Loe edasi...
This open access book is a tribute to the profound contributions of Professor Bumsig Kim in the field of mathematics, particularly in the realm of mirror symmetry. Mirror symmetry is a fascinating duality between complex/algebraic geometry and sym...Loe edasi...
This book is intended as a bridge between high school and college mathematics. The contents have been chosen to demonstrate the relationships among topics from the high school curriculum, including topics that may be part of a fourth year non-calcul...Loe edasi...
Highlights from an AMS Special Session on inverse problems, this collection presents rigorous research on quantum invariants, Khovanov homology, quantum groups, topological field theories, and tensor networks. It serves as a resource for those explo...Loe edasi...
This volume is the proceedings of a special conference dedicated to the legacy of Prof. S.-S. Chern, virtually held at the Chern Institute of Mathematics, Nankai University. The conference lasted 2 weeks, and included more than 80 talks, highlight...Loe edasi...
This volume is a collection of extended abstracts authored by women mathematicians in Latin America. The contributions included span key areas such as analysis, partial differential...Loe edasi...
This textbook offers a self-contained introduction to the theory of connections on vector bundles that is accessible to both advanced undergraduate students and graduate students. Constructions and proofs of key results are presented in detail in or...Loe edasi...
Peer-reviewed research explores the frontiers of pure and applied mathematics, merging clusters of related studies into cohesive, book-length volumes. Under the oversight of the AMS journal Transactions of the American Mathematical Society, each wor...Loe edasi...
A distinguished series showcasing rigorous exploration in pure and applied mathematics through extensive studies and related paper collections. Guided by an expert editorial committee, each work undergoes strict peer review to uphold high scholarly...Loe edasi...
Offering a trusted repository of original research in pure and applied mathematics, this series compiles extended manuscripts that consolidate related studies in book form. Rigorously peer-reviewed and overseen by experts, it provides a curated glim...Loe edasi...
This volume presents a collection of research papers and survey articles by participants from two significant conferences on several complex variables (SCV) held at POSTECH in 2022. SCV, a central research area in mathematics, focuses on holomorphic...Loe edasi...
This book, consisting of two volumes, gives a contemporary account of the study of the class of projective algebraic surfaces known as Enriques surfaces. These surfaces were discovered more than 125 years by F. Enriques in an attempt to extend the c...Loe edasi...
This books area is special functions of one or several complex variables. Special functions have been applied to dynamics and physics. Special functions such as elliptic or automorphic functions have an algebro-geometric nature. These attributes per...Loe edasi...
Enumerative geometry is a core area of algebraic geometry that dates back to Apollonius in the second century BCE. It asks for the number of geometric figures with desired properties and has many applications from classical geometry to modern physic...Loe edasi...
Fifteen articles presented at ICLAA 2023 in Manipal, India, delve into recent advances in linear algebra, covering developments in matrix theory, linear operators in Banach algebras, game theory, and optimal designs. Expository contributions also sp...Loe edasi...
Proceedings capturing leading research from virtual conferences at Columbia University, spanning integrable systems, Painlevé equations, quantum models, and applied mathematics. Contributions traverse algebro geometric methods, tropical geometry, an...Loe edasi...
Advanced research in pure and applied mathematics is showcased through extended, interconnected studies presented in book form. Overseen by the AMS Transactions Editorial Committee, each rigorously peer-reviewed paper delves into diverse mathematica...Loe edasi...
Featuring fresh research in pure and applied mathematics, this publication showcases lengthy, interrelated studies developed as groups of papers. Every work is rigorously peer-reviewed under the guidance of an experienced Editorial Committee, ensuri...Loe edasi...
Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and perspectives, this theory in the general settin...Loe edasi...
Featuring original research in pure and applied mathematics, this series compiles long, interrelated groups of scholarly papers into unified volumes. Managed by the AMS Transactions Editorial Committee, every submission is rigorously peer-reviewed t...Loe edasi...
Proceedings from the 19th AGC2T in Marseille merge theories and algorithms across arithmetic, algebraic geometry, cryptography, and coding. Focus is on curves, abelian varieties over finite fields, and their isogenies and endomorphisms, linking pure...Loe edasi...
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Loe edasi...
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Loe edasi...
(Ilmumisaeg: 13-Feb-2026, Paperback / softback, Kirjastus: Mathematical Society of Japan, ISBN-13: 9784864971133)
This is a reasonably self-contained exposition of the fascinating interplay between cluster algebras and the dilogarithm in the past two decades. The dilogarithm has a long and rich history since it was studied by Euler. The most intriguing property...Loe edasi...
(Ilmumisaeg: 27-Jan-2026, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470482060)
Explore the realm of integer-valued polynomials where core principles of commutative algebra and number theory meet combinatorics, p-adic analysis, dynamics, and non-commutative algebra. The treatment journeys from foundational topics to modern pers...Loe edasi...
José Luis Cisneros-Molina, Lê Dng Tráng, José Seade
(Ilmumisaeg: 25-Jan-2026, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031995705)
This is the eight volume of the Handbook of Geometry and Topology of Singularities, a series that provides an accessible account of the state of the art of the subject, its frontiers and its interactions with o...Loe edasi...
Sari: Encyclopedia of Mathematics and its Applications
(Ilmumisaeg: 22-Jan-2026, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781009699983)
Directed at researchers in discrete and combinatorial geometry, this book introduces polytopes and is suitable for beginners as well as those with more experience. It provides comprehensive coverage of several modern developments on algebraic and co...Loe edasi...
Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision continues to impact and inspire many fields and researchers today. Utilizing a multidisciplinary approach...Loe edasi...
This book is a tribute to the memory of Yuri Ivanovich Manin, who passed away on January 7, 2023. Manin was one of the giants of modern mathematics. His work covered a wide range of fields, including logic, number theory, geometry, mathematical phys...Loe edasi...
Sari: Series In Algebraic And Differential Geometry
(Ilmumisaeg: 30-Dec-2025, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819806133)
A fundamental idea to understanding topological spaces is decomposing them down into simpler components for easier analysis. The study of decompositions in unstable homotopy theory has a long, rich history and has contributed significantly to the st...Loe edasi...
Engage with a collection of surveys that traverse rich mathematical landscapes from invariant theory, Grobner bases, and toric ideals to discrete and convex optimization, hypergeometric systems, algebraic statistics, and tropical geometry. Each arti...Loe edasi...
(Ilmumisaeg: 15-Dec-2025, Hardback, Kirjastus: Mathematical Society of Japan, ISBN-13: 9784864971003)
This volume is the proceedings of two series of conferences: the 15th Seasonal Institute of the Mathematical Society of Japan, entitled Deepening and Evolution of Applied Singularity Theory, held at Workpia Yokohama in November 2022, and the RIMS...Loe edasi...
This textbook offers a self-contained introduction to the theory of connections on vector bundles that is accessible to both advanced undergraduate students and graduate students. Constructions and proofs of key results are presented in detail in...Loe edasi...
This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. In the first part, we introduce the main concepts and techniques by studying finite noncommutative spaces, providing...Loe edasi...
This volume explores new developments in algebraic geometry and its interactions with number theory and mathematical physics, from the theory of moduli to motives and enumerative geometry. Covering a wide range of techniques, it is accessible to pos...Loe edasi...
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Loe edasi...
Sari: Cambridge Monographs on Applied and Computational Mathematics
(Ilmumisaeg: 30-Oct-2025, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781009663922)
Cubature rules are utilized for evaluating integrals and are essential for applications ranging from data science to scientific computing. This monograph is the first book devoted to cubature rules in over four decades and the first on minimal cubat...Loe edasi...
This open access book presents mathematical foundations for cryptography securely used in the era of quantum computers.In particular, this book aims to deepen the basic mathematics of post-quantum cryptography, model the strongest possible...Loe edasi...
(Ilmumisaeg: 21-Oct-2025, Hardback, Kirjastus: Princeton University Press, ISBN-13: 9780691268668)
An accessible, motivated introduction to one of the most dynamic areas of mathematicsDecades ago, Mumford wrote that algebraic geometry “seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adh...Loe edasi...
An accessible, motivated introduction to one of the most dynamic areas of mathematicsDecades ago, Mumford wrote that algebraic geometry “seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adh...Loe edasi...
Gert-Martin Greuel, Christoph Lossen, Eugenii I. Shustin
Sari: Springer Monographs in Mathematics
(Ilmumisaeg: 04-Oct-2025, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031860423)
In the second edition we do not only correct errors, update references and improve some of the proofs of the text of the first edition, but also add a new chapter on singularities in arbitrary characteristic. W...Loe edasi...
Gathering research and survey papers from August 2023 conferences at Artois University, this volume delves into classical ring theory, coding theory, and quadratic forms. It covers topics from Baer rings to MacWilliams identities, offering fresh ins...Loe edasi...
The goal of Geometric Algebra Applications Vol. III: Integral Transforms, Machine Learning, and Quantum Computing is to present a unified mathematical treatment of diverse problems in the general domain like Clifford Fourier Transforms, Deep Learnin...Loe edasi...
