This is the thirteenth issue (Vol. 7, No. 1, July 2019) of the Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization. This special issue honors Shing-Tung Yau on the occasion of his 70th birthday. Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. Readers of the Notices will find research papers on various topics by prominent experts from around the world, interesting and timely articles on current applications and trends, biographical and historical essays, profiles of important institutions of research and learning, and more.

This is the eighteenth issue (Vol. 9, No. 2, December 2021 of the Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization. Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. Readers of the Notices will find research papers on various topics by prominent experts from around the world, interesting and timely articles on current applications and trends, biographical and historical essays, profiles of important institutions of research and learning, and more.

This is the seventeenth issue (Vol. 9, No. 1, July 2021 of the Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization. Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. Readers of the Notices will find research papers on various topics by prominent experts from around the world, interesting and timely articles on current applications and trends, biographical and historical essays, profiles of important institutions of research and learning, and more.

This is the twelfth issue (Vol. 6, No. 2, December 2018) of the Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization. Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. Readers of the Notices will find research papers on various topics by prominent experts from around the world, interesting and timely articles on current applications and trends, biographical and historical essays, profiles of important institutions of research and learning, and more.

Comprising volumes 28 and 29 of the ALM series, this outstanding collection presents all the survey papers of Shing-Tung Yau published to date (through 2013), each with Yau's own commentary. Among these are several papers not otherwise easily accessible. Also presented are several commentaries on Yau's work written by outstanding scholars from around the world especially for publication here. Shing-Tung Yau's work is mainly in differential geometry, and he is one of the originators of the broad subject of geometric analysis - in which he remains one of the most active participants. His contributions have had an influence on both physics and mathematics, and he has long been active at the interface between geometry and theoretical physics. His proof of the positive energy theorem in general relativity demonstrated - sixty years after its discovery - that Einstein's theory is consistent and stable. His proof of the Calabi conjecture allowed physicists - using Calabi-Yau compactification - to show that string theory is a viable candidate for a unified theory of nature. Calabi-Yau manifolds are part of the standard toolkit of string theorists today. He was awarded the Fields Medal in 1982 and the Wolf Prize in 2010, and has received many other honors. The Selected Expository Works of Shing-Tung Yau with Commentary provides the reader with systematic commentary on all aspects of mathematics by a contemporary master. The reader can thereby see the world of mathematics through his particular perspective, and gain understanding of the motivation and evolution of mathematical ideas.

This is the fifteenth issue (Vol. 8, No. 1, July 2020) of the Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization.Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. Readers of the Notices will find research papers on various topics by prominent experts from around the world, interesting and timely articles on current applications and trends, biographical and historical essays, profiles of important institutions of research and learning, and more.

This is the fourteenth issue (Vol. 7, No. 2, December 2019) of the Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization. Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. Readers of the Notices will find research papers on various topics by prominent experts from around the world, interesting and timely articles on current applications and trends, biographical and historical essays, profiles of important institutions of research and learning, and more.

This work presents lectures from the important String Theory International Conference held in 2002 in Hangzhou, China. These include talks given by several mathematicians of particular prominence in the field, among them Stephen Hawking and Edward Witten. Interest in string theory is driven largely by the hope that it will evolve to be the ultimate 'Theory of Everything'. Work on string theory has led to advances in many branches of mathematics. This rapidly developing subject is one of the mainstream topics of mathematics in the 21st century. The current volume presents lectures from the important String Theory International Conference held in 2002 in Hangzhou, China. These include talks given by several mathematicians of particular prominence in the field, among them Stephen Hawking and Edward Witten.

This is the sixth issue (December 2015) of the Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization. Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. Readers of the Notices will find research papers on various topics by prominent experts from around the world, interesting and timely articles on current applications and trends, biographical and historical essays, profiles of important institutions of research and learning, and more.

This is the fifth issue (July 2015) of the Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization. Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. Readers of the Notices will find research papers on various topics by prominent experts from around the world, interesting and timely articles on current applications and trends, biographical and historical essays, profiles of important institutions of research and learning, and more.

This is the fourth issue (December 2014) of the Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization. Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. Readers of the Notices will find research papers on various topics by prominent experts from around the world, interesting and timely articles on current applications and trends, biographical and historical essays, profiles of important institutions of research and learning, and more.

International Press of Boston is pleased to announce publication of the third issue (July 2014) of its all-new Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization. The ICCM Notices brings news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. It is published semi-annually. The ICCM Notices will be of interest to all people-whether of Chinese background or not-who are interested in following Chinese mathematics.

International Press of Boston is pleased to announce publication of the second issue (December 2013) of its all-new Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization. The ICCM Notices brings news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. It will be published semi-annually. The ICCM Notices will be of interest to all people-whether of Chinese background or not-who are interested in following Chinese mathematics.

International Press of Boston is pleased to announce publication of the first issue (July 2013) of its all-new Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization. The ICCM Notices brings news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. It will be published semi-annually. The ICCM Notices will be of interest to all people-whether of Chinese background or not-who are interested in following Chinese mathematics.

Cohomology of groups is a fundamental tool in many subjects of modern mathematics. One important generalized cohomology theory is the algebraic K-theory. Indeed, algebraic K-groups of rings are important invariants of the rings and have played important roles in algebra, topology, number theory, etc. This volume consists of expanded lecture notes from a 2007 seminar at Zhejiang University in China, at which several leading experts presented introductions, to and surveys of, many aspects of cohomology of groups and algebraic K-theory, along with their broad applications. Two foundational papers on algebraic K-theory by Daniel Quillen are also included. Table of Contents: On Crossed Product Rings with Twisted Involutions, Their Module Categories and L-Theory - Arthur Bartels and Wolfgang Luck; Deformation Spaces for Affine Crystallographic Groups - Oliver Baues; Lectures on the Cohomology of Groups - Kenneth S. Brown; A Brief Introduction to Algebraic K-Theory - Daniel R. Grayson; The Braid Groups of RP2 Satisfy the Fibered Isomorphism Conjecture - Daniel Juan-Pineda and Silvia Millan-Lopez; K-Theory, an Elementary Introduction - Max Karoubi ; Lectures on K-Theory - Max Karoubi; On the Farrell-Jones and Related Conjectures - Wolfgang Luck; Introduction to Controlled Topology and its Applications - Stratos Prassidis; Lecture Notes on K-Theory - Hourong Qin; Higher Algebraic K-Theory: I - Daniel Quillen; Finite Generation of the Groups Ki of Rings of Algebraic Integers - Daniel Quillen; A User's Guide to Continuously Controlled Algebra - David Rosenthal; Higher K-Theory of Algebraic Integers and the Cohomology of Arithmetic Groups - Christophe Soule (Notes by Marco Varisco).