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Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. Readers will find research papers by experts from around the world, interesting and timely articles on current applications, biographical and historical essays, profiles of important institutions of research and learning, and more.

During the 2015-2016 year at Harvard University's Center of Mathematical Sciences and Applications (CMSA), several researchers working in mathematical general relativity presented lectures on modern topics of research in the field of ""Non-linear Equations"". This volume presents articles - by those researchers and their co-authors - drawn from their CMSA lectures.

These are the proceedings of the joint seminar by M.I.T. and Harvard on the current Developments in mathematics for the year 2001. The organising committee for the seminar consisted of distinguished mathematicians from the mathematics departments of both institutions.

Due to a broad connection with many subjects in mathematics and physics, Riemann surfaces and their moduli spaces have been intensively studied and will continue to attract attention in years to come. Recently, there has been an explosion of interest in and work on tropical algebraic curves. This book is an accessible introduction to all these topics.

This volume consists of survey papers and introductions pertaining to Hodge theory, variation of Hodge structures, L(2)-methods in complex analysis and geometry, and related results in algebraic geometry. Contributors include some of the world's leading experts: Ayoub, Bierstone, Griffiths, M. Green, Hain, and Ohsawa.

Presents two sets of never-before-published notes from lectures given by S.-S. Chern. Differential Manifolds gives a smooth and rapid introduction to differential manifolds and differential geometry; Lectures on Integral Geometry is an accessible introduction to that subject.

Presents a set of never-before-published notes from lectures given by S.-S. Chern in 1951 on the topic of ""Minimal Submanifolds in a Riemannian Manifold"". Also presented are five of Chern's expository papers which complement the lecture notes and provide an overview of the scope and power of differential geometry.

Presents lively and engaging articles from the lecturers and the participants of the 23rd Goekova Geometry-Topology Conference, held in May/June 2016. Topics include manifolds, special holonomy, symplectic topology, gauge theory, Lie groups, hyperkahler manifolds, and more.

The International Congress of Chinese Mathematicians (ICCM) is an important event among the large international community of mathematicians of Chinese descent. Proceedings of the Sixth International Congress of Chinese Mathematicians presents the plenary talks and more than 60 invited talks from the Congress, reflecting the latest developments in mathematics.

Presents twelve important papers which have formed some the cornerstones of geometric analysis. Their subject matter ranges over the areas of conformal geometry, gauge theory, symplectic geometry, mean curvature, spectral theory, and general relativity.

These papers have been organised into five volumes by subject matter. The first volume deals with topology, the second with algebraic geometry, the third with geometric ideas, the fourth with geometric analysis, and the fifth with geometric flows.

Presents twelve important papers on algebraic and complex geometry - papers that have played important roles in the development of these subjects. The subject matter ranges from the birational geometry of varieties, to geometric structures of moduli spaces in algebraic and complex geometry, to the geometry of compact and non-compact Kohler manifolds.

Constructs a theory of modular forms for families of Calabi-Yau threefolds with Hodge numbers of the third cohomology equal to one. It discusses many differences and similarities between the new theory and the classical theory of modular forms defined on the upper half plane.

This is the eighth issue (Vol. 4, No. 2, December 2016) of the Notices of the International Congress of Chinese Mathematicians, 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.

Proceedings of the conference on geometry and topology held at Harvard University, April 27-29, 1990 and sponsored by Lehigh University.

The works presented in this volume originated in lectures on analysis in partial differential equations. Included are Jean-Yves Chemin on profile decomposition and its applications to the Navier-Stokes system; Hongjie Dong on Lp estimates for parabolic equations; Xiaochun Li, on the Hardy-Littlewood circle method; and Fanghua Lin on elliptic free boundary problems.

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.

Presents thorough introductions to the theoretical foundations - as well as to the practical algorithms - of computational conformal geometry. These have direct applications to engineering and digital geometric processing, including surface parameterization, surface matching, brain mapping, 3-D face recognition, facial expression and animation, dynamic face tracking, and more.

This volume presents lively and engaging articles from the lecturers and the participants of the 22nd G kova Geometry-Topology Conference, held in May 2015. Topics include high-dimensional geometric, symplectic and contact geometry, and more.

This is the sixth issue of the Notices of the International Congress of Chinese Mathematicians, the official periodical of the ICCM organisation. Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education.

This is the fifth issue of the Notices of the International Congress of Chinese Mathematicians, the official periodical of the ICCM organisation. Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education.

Groups and group actions are probably the most central objects in mathematics. Comprising volumes 31 and 32 of the ALM series, the Handbook of Group Actions presents survey articles on the topic of group actions and how they appear in several mathematical contexts.

This volume of Surveys in Differential Geometry is dedicated to the three most eminent contributors to the subject of regularity and existence of nonlinear partial differential equations, which has played such an important role in geometry. These are Richard Hamilton, Leon Simon, and Karen Uhlenbeck.

Groups and group actions are probably the most central objects in mathematics. Comprising volumes 31 and 32 of the ALM series, the Handbook of Group Actions presents survey articles on the topic of group actions and how they appear in several mathematical contexts.