SHORTLISTED FOR THE FORWARD PRIZE FOR POETRY 2022 SHORTLISTED FOR THE T.S. ELIOT PRIZE FOR POETRY 2022 With Sonnets for Albert, Anthony Joseph returns to the autobiographical material explored in his earlier collection Bird Head Son. In this follow-up, he weighs the impact of being the son of an absent, or mostly absent, father, Though these poems threaten to break under the weight of their emotions, they are always masterfully poised as the stylish man they depict.

"Is this the most important book ever written on psychedelic mixed drinks? Almost certainly. High Cocktails is written with academic rigour, caution, expert insight and the mixological mastery of some of the very best bartenders and chefs in the world, all packaged in a gorgeously photographed book fit for every coffee table. Whether or not you know your kratom from your kanna, or your blue lotus from your ayahuasca, this is the book for you: it is quite simply the future of drinking." - Philip Duff, award-winning, head of spirits & cocktail engagement and education with Liquid Solutions, Chief Genever Officer for Old Duff Genever High Cocktails is the first book to bring together 20 alcohol-free psychoactive cocktail recipes, developed by chefs Noah Tucker and Anthony Joseph, in collaboration with four of the world's top mixologists. Featuring exclusive research into some of the world's most interesting psychoactive plants and the alchemy involved in making cocktails with these ingredients. A team of media makers, in collaboration with chefs Noah and Tony, started a project called High Cuisine a few years ago, where chefs cook with legal, mind-altering herbs such as weed, truffles and kratom. This led to the cookbook of the same name and a TV series. Now in collaboration with The Bulldog, the landmark coffee shop in Amsterdam, a new trajectory has started with the development of alcohol-free cocktails that get you high: high cocktails!

The representation theory of the symmetric group, of Chevalley groups particularly in positive characteristic and of Lie algebraic systems, has undergone some remarkable developments in recent years. Many techniques are inspired by the great works of Issai Schur who passed away some 60 years ago. This volume is dedicated to his memory. This is a unified presentation consisting of an extended biography of Schur---written in collaboration with some of his former students---as well as survey articles on Schur's legacy (Schur theory, functions, etc). Additionally, there are articles covering the areas of orbits, crystals and representation theory, with special emphasis on canonical bases and their crystal limits, and on the geometric approach linking orbits to representations and Hecke algebra techniques. Extensions of representation theory to mathematical physics and geometry will also be presented. Contributors: Biography: W. Ledermann, B. Neumann, P.M. Neumann, H. Abelin- Schur; Review of work: H. Dym, V. Katznelson; Original papers: H. H. Andersen, A. Braverman, S. Donkin, V. Ivanov, D. Kazhdan, B. Kostant, A. Lascoux, N. Lauritzen, B. Leclerc, P. Littelmann, G. Luzstig, O.Mathieu, M. Nazarov, M. Reinek, J.-Y. Thibon, G. Olshanski, E. Opdam, A. Regev, C.S. Seshadri, M. Varagnolo, E. Vasserot, A. Vershik This volume will serve as a comprehensive reference as well as a good text for graduate seminars in representation theory, algebra, and mathematical physics.

This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac-Moody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, Kac-Moody superalgebras, categories of Harish-Chandra modules, cohomological methods, and cluster algebras.

The first European Congress of Mathematics was held in Paris from July 6 to July 10, 1992, at the Sorbonne and Pantheon-Sorbonne universities. It was hoped that the Congress would constitute a symbol of the development of the community of European nations. More than 1,300 persons attended the Congress. The purpose of the Congress was twofold. On the one hand, there was a scientific facet which consisted of forty-nine invited mathematical lectures that were intended to establish the state of the art in the various branches of pure and applied mathematics. This scientific facet also included poster sessions where participants had the opportunity of presenting their work. Furthermore, twenty-four specialized meetings were held before and after the Congress. The second facet of the Congress was more original. It consisted of six teen round tables whose aim was to review the prospects for the interactions of mathematics, not only with other sciences, but also with society and in particular with education, European policy and industry. In connection with this second goal, the Congress also succeeded in bring ing mathematics to a broader public. In addition to the round tables specific ally devoted to this question, there was a mini-festival of mathematical films and two mathematical exhibits. Moreover, a Junior Mathematical Congress was organized, in parallel with the Congress, which brought together two hundred high school students."

Table of contents: Plenary Lectures * V.I. Arnold: The Vassiliev Theory of Discriminants and Knots * L. Babai: Transparent Proofs and Limits to Approximation * C. De Concini: Poisson Algebraic Groups and Representations of Quantum Groups at Roots of 1 * S.K. Donaldson: Gauge Theory and Four-Manifold Topology * W. Muller: Spectral Theory and Geometry * D. Mumford: Pattern Theory: A Unifying Perspective * A.-S. Sznitman: Brownian Motion and Obstacles * M. Vergne: Geometric Quantization and Equivariant Cohomology * Parallel Lectures * Z. Adamowicz: The Power of Exponentiation in Arithmetic * A. Bjorner: Subspace Arrangements * B. Bojanov: Optimal Recovery of Functions and Integrals * J.-M. Bony: Existence globale et diffusion pour les modeles discrets * R.E. Borcherds: Sporadic Groups and String Theory * J. Bourgain: A Harmonic Analysis Approach to Problems in Nonlinear Partial Differatial Equations * F. Catanese: (Some) Old and New Results on Algebraic Surfaces * Ch. Deninger: Evidence for a Cohomological Approach to Analytic Number Theory * S. Dostoglou and D.A. Salamon: Cauchy-Riemann Operators, Self-Duality, and the Spectral Flow

Table of Contents: D. Duffie: Martingales, Arbitrage, and Portfolio Choice * J. Frohlich: Mathematical Aspects of the Quantum Hall Effect * M. Giaquinta: Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings * U. Hamenstadt: Harmonic Measures for Leafwise Elliptic Operators Along Foliations * M. Kontsevich: Feynman Diagrams and Low-Dimensional Topology * S.B. Kuksin: KAM-Theory for Partial Differential Equations * M. Laczkovich: Paradoxical Decompositions: A Survey of Recent Results * J.-F. Le Gall: A Path-Valued Markov Process and its Connections with Partial Differential Equations * I. Madsen: The Cyclotomic Trace in Algebraic K-Theory * A.S. Merkurjev: Algebraic K-Theory and Galois Cohomology * J. Nekovar: Values of L-Functions and p-Adic Cohomology * Y.A. Neretin: Mantles, Trains and Representations of Infinite Dimensional Groups * M.A. Nowak: The Evolutionary Dynamics of HIV Infections * R. Piene: On the Enumeration of Algebraic Curves - from Circles to Instantons * A. Quarteroni: Mathematical Aspects of Domain Decomposition Methods * A. Schrijver: Paths in Graphs and Curves on Surfaces * B. Silverman: Function Estimation and Functional Data Analysis * V. Strassen: Algebra and Complexity * P. Tukia: Generalizations of Fuchsian and Kleinian Groups * C. Viterbo: Properties of Embedded Lagrange Manifolds * D. Voiculescu: Alternative Entropies in Operator Algebras * M. Wodzicki : Algebraic K-Theory and Functional Analysis * D. Zagier: Values of Zeta Functions and Their Applications

This volume is dedicated to the memory of Issai Schur. It opens with some biographical reminiscences of the famous school he established in Berlin, his brutal dismissal by the Nazi regime and his tragic end in Palestine. This is followed by an extensive review of the extraordinary impact of his lesser known analytic work. Finally, leading mathematicians in the representation theory of the symmetric groups, of semisimple and affine Lie algebras and of Chevalley groups have contributed original and outstanding articles. These concern many areas inspired by Schur's work as well as more recent developments involving crystal and canonical bases, Hecke algebras, and the geometric approach linking orbits to representations. Contributors: Biography: H. Abelin-Schur, W. Ledermann, Y. Ne'eman, B. Neumann, P.M. Neumann, M. Sonis. Review: H. Dym, V. Katsnelson. Original papers: H.H. Andersen, A. Braverman, S. Donkin, V. Ivanov, D. Kazhdan, B. Kostant, A. Lascoux, N. Lauritzen, B. Leclerc, P. Littelmann, G. Luzstig, O. Mathieu, M. Nazarov, G. Olshanski, E. Opdam, A. Regev, M. Reineke, C.S. Seshadri, J.-Y. Thibon, M. Varagnolo, E. Vasserot, A. Vershik. The first part of this book will appeal to a general audience. The second part will be of interest to graduate students especially those in analysis, while the third part is addressed to specialists in Lie algebras.

The first European Congress of Mathematics was held in Paris from July 6 to July 10, 1992, at the Sorbonne and Pantheon-Sorbonne universities. It was hoped that the Congress would constitute a symbol of the development of the community of European nations. More than 1,300 persons attended the Congress. The purpose of the Congress was twofold. On the one hand, there was a scientific facet which consisted of forty-nine invited mathematical lectures that were intended to establish the state of the art in the various branches of pure and applied mathematics. This scientific facet also included poster sessions where participants had the opportunity of presenting their work. Furthermore, twenty four specialized meetings were held before and after the Congress. The second facet of the Congress was more original. It consisted of sixteen round tables whose aim was to review the prospects for the interactions of mathe matics, not only with other sciences, but also with society and in particular with education, European policy and industry. In connection with this second goal, the Congress also succeeded in bringing mathematics to a broader public. In addition to the round tables specifically devoted to this question, there was a mini-festival of mathematical films and two mathematical exhibits. Moreover, a Junior Mathematical Congress was organized, in parallel with the Congress, which brought together two hundred high school students."

The first European Congress of Mathematics was held in Paris from July 6 to July 10, 1992, at the Sorbonne and Pantheon-Sorbonne universities. It was hoped that the Congress would constitute a symbol of the development of the community of European nations. More than 1,300 persons attended the Congress. The purpose of the Congress was twofold. On the one hand, there was a scientific facet which consisted of forty-nine invited mathematical lectures that were intended to establish the state of the art in the various branches of pure and applied mathematics. This scientific facet also included poster sessions where participants had the opportunity of presenting their work. Furthermore, twenty four specialized meetings were held before and after the Congress. The second facet of the Congress was more original. It consisted of sixteen round tables whose aim was to review the prospects for the interactions of mathe matics, not only with other sciences, but also with society and in particular with education, European policy and industry. In connection with this second goal, the Congress also succeeded in bringing mathematics to a broader public. In addition to the round tables specifically devoted to this question, there was a mini-festival of mathematical films and two mathematical exhibits. Moreover, a Junior Mathematical Congress was organized, in parallel with the Congress, which brought together two hundred high school students."

Table of Contents: D. Duffie: Martingales, Arbitrage, and Portfolio Choice * J. Frohlich: Mathematical Aspects of the Quantum Hall Effect * M. Giaquinta: Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings * U. Hamenstadt: Harmonic Measures for Leafwise Elliptic Operators Along Foliations * M. Kontsevich: Feynman Diagrams and Low-Dimensional Topology * S.B. Kuksin: KAM-Theory for Partial Differential Equations * M. Laczkovich: Paradoxical Decompositions: A Survey of Recent Results * J.-F. Le Gall: A Path-Valued Markov Process and its Connections with Partial Differential Equations * I. Madsen: The Cyclotomic Trace in Algebraic K-Theory * A.S. Merkurjev: Algebraic K-Theory and Galois Cohomology * J. Nekovar: Values of L-Functions and p-Adic Cohomology * Y.A. Neretin: Mantles, Trains and Representations of Infinite Dimensional Groups * M.A. Nowak: The Evolutionary Dynamics of HIV Infections * R. Piene: On the Enumeration of Algebraic Curves - from Circles to Instantons * A. Quarteroni: Mathematical Aspects of Domain Decomposition Methods * A. Schrijver: Paths in Graphs and Curves on Surfaces * B. Silverman: Function Estimation and Functional Data Analysis * V. Strassen: Algebra and Complexity * P. Tukia: Generalizations of Fuchsian and Kleinian Groups * C. Viterbo: Properties of Embedded Lagrange Manifolds * D. Voiculescu: Alternative Entropies in Operator Algebras * M. Wodzicki : Algebraic K-Theory and Functional Analysis * D. Zagier: Values of Zeta Functions and Their Applications

Table of contents: Plenary Lectures * V.I. Arnold: The Vassiliev Theory of Discriminants and Knots * L. Babai: Transparent Proofs and Limits to Approximation * C. De Concini: Poisson Algebraic Groups and Representations of Quantum Groups at Roots of 1 * S.K. Donaldson: Gauge Theory and Four-Manifold Topology * W. Muller: Spectral Theory and Geometry * D. Mumford: Pattern Theory: A Unifying Perspective * A.-S. Sznitman: Brownian Motion and Obstacles * M. Vergne: Geometric Quantization and Equivariant Cohomology * Parallel Lectures * Z. Adamowicz: The Power of Exponentiation in Arithmetic * A. Bjorner: Subspace Arrangements * B. Bojanov: Optimal Recovery of Functions and Integrals * J.-M. Bony: Existence globale et diffusion pour les modeles discrets * R.E. Borcherds: Sporadic Groups and String Theory * J. Bourgain: A Harmonic Analysis Approach to Problems in Nonlinear Partial Differatial Equations * F. Catanese: (Some) Old and New Results on Algebraic Surfaces * Ch. Deninger: Evidence for a Cohomological Approach to Analytic Number Theory * S. Dostoglou and D.A. Salamon: Cauchy-Riemann Operators, Self-Duality, and the Spectral Flow

Medieval Literature: The Basics is an engaging introduction to this fascinating body of literature. The volume breaks down the variety of genres used in the corpus of medieval literature and makes these texts accessible to readers. It engages with the familiarities present in the narratives and connects these ideas with a contemporary, twenty-first century audience. The volume also addresses contemporary medievalism to show the presence of medieval literature in contemporary culture, such as film, television, games, and novels. From Dante and Chaucer to Christine de Pisan, this book deals with questions such as: What is medieval literature? What are some of the key topics and genres of medieval literature? How did it evolve as technology, such as the printing press, developed? How has it remained relevant in the twenty-first century? Medieval Literature: The Basics is an ideal introduction for students coming to the subject for the first time, while also acting as a springboard from which deeper interaction with medieval literature can be developed.

Medieval Literature: The Basics is an engaging introduction to this fascinating body of literature. The volume breaks down the variety of genres used in the corpus of medieval literature and makes these texts accessible to readers. It engages with the familiarities present in the narratives and connects these ideas with a contemporary, twenty-first century audience. The volume also addresses contemporary medievalism to show the presence of medieval literature in contemporary culture, such as film, television, games, and novels. From Dante and Chaucer to Christine de Pisan, this book deals with questions such as: What is medieval literature? What are some of the key topics and genres of medieval literature? How did it evolve as technology, such as the printing press, developed? How has it remained relevant in the twenty-first century? Medieval Literature: The Basics is an ideal introduction for students coming to the subject for the first time, while also acting as a springboard from which deeper interaction with medieval literature can be developed.

For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. Now in the sixth decade of his career, he continues to produce results of astonishing beauty and significance for which he is invited to lecture all over the world. This is the fourth volume (1985-1995) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this fourth volume is Kostant's commentaries and summaries of his papers in his own words.

For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. Now in the sixth decade of his career, he continues to produce results of astonishing beauty and significance for which he is invited to lecture all over the world. This is the second volume (1965-1975) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this second volume is Kostant's commentaries and summaries of his papers in his own words.

For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. Now in the sixth decade of his career, he continues to produce results of astonishing beauty and significance for which he is invited to lecture all over the world. This is the fifth volume (1995-2005) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this fifth volume is Kostant's commentaries and summaries of his papers in his own words.

For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. Now in the sixth decade of his career, he continues to produce results of astonishing beauty and significance for which he is invited to lecture all over the world. This is the third volume (1975-1985) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this third volume is Kostant's commentaries and summaries of his papers in his own words.

by a more general quadratic algebra (possibly obtained by deformation) and then to derive Rq G] by requiring it to possess the latter as a comodule. A third principle is to focus attention on the tensor structure of the cat egory of ( ; modules. This means of course just defining an algebra structure on Rq G]; but this is to be done in a very specific manner. Concretely the category is required to be braided and this forces (9.4.2) the existence of an "R-matrix" satisfying in particular the quantum Yang-Baxter equation and from which the algebra structure of Rq G] can be written down (9.4.5). Finally there was a search for a perfectly self-dual model for Rq G] which would then be isomorphic to Uq(g). Apparently this failed; but V. G. Drinfeld found that it could be essentially made to work for the "Borel part" of Uq(g) denoted U (b) and further found a general construction (the Drinfeld double) q mirroring a Lie bialgebra. This gives Uq(g) up to passage to a quotient. One of the most remarkable aspects of the above superficially different ap proaches is their extraordinary intercoherence. In particular they essentially all lead for G semisimple to the same and hence "canonical," objects Rq G] and Uq(g), though this epithet may as yet be premature."