Jesus Martinez-Garcia – författare

Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler-Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. The book's solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, the book presents many different techniques to prove the existence of a Kähler-Einstein metric, containing many additional relevant results such as the classification of all Kähler-Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces. This book will be essential reading for researchers and graduate students working on algebraic geometry and complex geometry.

The ZAG Handbook of Algebraic Geometry provides an extensive collection of extended summaries of all the research talks given at the worldwide ZAG (Zoom Algebraic Geometry) Seminar, as well as contributed short notes. Featuring contributions from all continents, from some of the most respected voices in the field, the book is aimed at researchers in algebraic geometry and related fields who want to gain a comprehensive understanding of state-of-the-art research in algebraic geometry. The book is broad and wide-ranging, offering material suitable to multiple levels of readership: from advanced undergraduate students in mathematics to active specialized researchers. Features· A showcase of the most important worldwide trends in algebraic geometry in recent years· Over two hundred short summaries of state-of-the-art research in algebraic geometry accessible to other mathematicians· A combination of contributions by renowned mathematicians, key researchers and new talent· Links to recordings of hour-long presentations for each contributionIvan Cheltsov is a Professor at the University of Edinburgh, United Kingdom, and his research interests include birational geometry and K-stability of Fano varieties. He is the author of 3 books and 126 articles written together with 52 co-authors. Ivan has organized research meetings in Auckland, Beijing, Cambridge, Durham, Edinburgh, Fuerteventura, Istanbul, Levico Terme, London, Magadan, Melbourne, Moscow, New York, Oberwolfach, Pipa, Pohang, Easter Island, Shanghai, Sochi, Spitsbergen, Stony Brook, Sydney, Tianjin, Wakkanai, and Vladivostok. Since 1995, Ivan has been married to Elena Cheltsova: they have three children (Ivan, Fedor, Ekaterina) and a cat, Kuzya. Aside from Mathematics, Ivan enjoys traveling, reading, and cycling his Brompton bicycle.Jesus Martinez-Garcia is a Senior Lecturer in Pure Mathematics at the University of Essex, United Kingdom. He obtained his PhD at the University of Edinburgh in 2013 and has held research positions at the University of Bath, United Kingdom, Johns Hopkins University, United States, and the Max Planck Institute for Mathematics, Germany. His research is in algebraic geometry with special emphasis on birational geometry, moduli spaces, K-stability, Fano varieties, and computational algebraic geometry. Martinez-Garcia has written one book, several research articles, and two software packages, and he has co-organized more than ten research meetings, including the annual international conference AGGITatE, as well as several research seminars.

The ZAG Handbook of Algebraic Geometry provides an extensive collection of extended summaries of all the research talks given at the worldwide ZAG (Zoom Algebraic Geometry) Seminar, as well as contributed short notes. Featuring contributions from all continents, from some of the most respected voices in the field, the book is aimed at researchers in algebraic geometry and related fields who want to gain a comprehensive understanding of state-of-the-art research in algebraic geometry. The book is broad and wide-ranging, offering material suitable to multiple levels of readership: from advanced undergraduate students in mathematics to active specialized researchers. Features* A showcase of the most important worldwide trends in algebraic geometry in recent years* Over two hundred short summaries of state-of-the-art research in algebraic geometry accessible to other mathematicians* A combination of contributions by renowned mathematicians, key researchers and new talent* Links to recordings of hour-long presentations for each contributionIvan Cheltsov is a Professor at the University of Edinburgh, United Kingdom, and his research interests include birational geometry and K-stability of Fano varieties. He is the author of 3 books and 126 articles written together with 52 co-authors. Ivan has organized research meetings in Auckland, Beijing, Cambridge, Durham, Edinburgh, Fuerteventura, Istanbul, Levico Terme, London, Magadan, Melbourne, Moscow, New York, Oberwolfach, Pipa, Pohang, Easter Island, Shanghai, Sochi, Spitsbergen, Stony Brook, Sydney, Tianjin, Wakkanai, and Vladivostok. Since 1995, Ivan has been married to Elena Cheltsova: they have three children (Ivan, Fedor, Ekaterina) and a cat, Kuzya. Aside from Mathematics, Ivan enjoys traveling, reading, and cycling his Brompton bicycle.Jesus Martinez-Garcia is a Senior Lecturer in Pure Mathematics at the University of Essex, United Kingdom. He obtained his PhD at the University of Edinburgh in 2013 and has held research positions at the University of Bath, United Kingdom, Johns Hopkins University, United States, and the Max Planck Institute for Mathematics, Germany. His research is in algebraic geometry with special emphasis on birational geometry, moduli spaces, K-stability, Fano varieties, and computational algebraic geometry. Martinez-Garcia has written one book, several research articles, and two software packages, and he has co-organized more than ten research meetings, including the annual international conference AGGITatE, as well as several research seminars.

The ZAG Handbook of Algebraic Geometry provides an extensive collection of extended summaries of all the research talks given at the worldwide ZAG (Zoom Algebraic Geometry) Seminar, as well as contributed short notes. Featuring contributions from all continents, from some of the most respected voices in the field, the book is aimed at researchers in algebraic geometry and related fields who want to gain a comprehensive understanding of state-of-the-art research in algebraic geometry. The book is broad and wide-ranging, offering material suitable to multiple levels of readership: from advanced undergraduate students in mathematics to active specialized researchers. Features* A showcase of the most important worldwide trends in algebraic geometry in recent years* Over two hundred short summaries of state-of-the-art research in algebraic geometry accessible to other mathematicians* A combination of contributions by renowned mathematicians, key researchers and new talent* Links to recordings of hour-long presentations for each contributionIvan Cheltsov is a Professor at the University of Edinburgh, United Kingdom, and his research interests include birational geometry and K-stability of Fano varieties. He is the author of 3 books and 126 articles written together with 52 co-authors. Ivan has organized research meetings in Auckland, Beijing, Cambridge, Durham, Edinburgh, Fuerteventura, Istanbul, Levico Terme, London, Magadan, Melbourne, Moscow, New York, Oberwolfach, Pipa, Pohang, Easter Island, Shanghai, Sochi, Spitsbergen, Stony Brook, Sydney, Tianjin, Wakkanai, and Vladivostok. Since 1995, Ivan has been married to Elena Cheltsova: they have three children (Ivan, Fedor, Ekaterina) and a cat, Kuzya. Aside from Mathematics, Ivan enjoys traveling, reading, and cycling his Brompton bicycle.Jesus Martinez-Garcia is a Senior Lecturer in Pure Mathematics at the University of Essex, United Kingdom. He obtained his PhD at the University of Edinburgh in 2013 and has held research positions at the University of Bath, United Kingdom, Johns Hopkins University, United States, and the Max Planck Institute for Mathematics, Germany. His research is in algebraic geometry with special emphasis on birational geometry, moduli spaces, K-stability, Fano varieties, and computational algebraic geometry. Martinez-Garcia has written one book, several research articles, and two software packages, and he has co-organized more than ten research meetings, including the annual international conference AGGITatE, as well as several research seminars.