Stephen Shing-Toung Yau (Guggenheim Fellow; Life Fellow, IEEE; AMS Fellow) received the Ph.D. degree in mathematics from the State University of New York, Stony Brook, NY, USA, in 1976. He was a Member of the Institute of Advanced Study, Princeton, NJ, USA, from 1976 to 1977 and 1981 to 1982. He was a Benjamin Pierce Assistant Professor with Harvard University, Cambridge, MA, USA, from 1977 to 1980. He then joined the Department of Mathematics, Statistics and Computer Science (MSCS), University of Illinois at Chicago (UIC), Chicago, IL, USA, and served for more than 30 years. From 2005 to 2011, he was a University Distinguished Professor of UIC and Joint Professor with the Department of Electrical and Computer Engineering, MSCS, UIC. After retiring in 2011, he joined the Department of Mathematical Sciences at Tsinghua University in Beijing, China, where he served for over 10 years. His research interests include nonlinear filtering, bioinformatics, complex algebraic geometry, Cauchy–Riemann geometry, and singularities theory. Dr. Yau has been the Managing Editor and Founder of Journal of Algebraic Geometry since 1991 and the Editor-in-Chief and Founder of Communications in Information and Systems since 2000. He was the General Chairman of the 1995 IEEE International Conference on Control and Information. He received the Sloan Fellowship in 1980, the Guggenheim Fellowship in 2000, and the American Mathematical Society Fellow Award in 2013. In 2005, he was entitled the UIC Distinguished Professor. In 2019, he won the Chern Prize of Lifetime Achievement in Mathematics.Bingui Chen is professor of mathematics at Sun Yat-sen University in Guangzhou, China.Xiankui Meng is progressor of mathematics at Beijing University of Posts and Telecom in Beijing, China.Huaiqing Zuo is professor of mathematics at Tsinghua Universit in Beijing, China.

• Preface.- CR manifolds and Levi forms.- Kohn-Rossi cohomology and complex Plateau problem.- Nonconstant CR morphisms between compact strongly pseudoconvex CR manifolds.- Bergman functions and the equivalence problem of singular domains.- Bibliography.

Stephen Shing-Toung Yau (Guggenheim Fellow; Life Fellow, IEEE; AMS Fellow) received the Ph.D. degree in mathematics from the State University of New York, Stony Brook, NY, USA, in 1976. He was a Member of the Institute of Advanced Study, Princeton, NJ, USA, from 1976 to 1977 and 1981 to 1982. He was a Benjamin Pierce Assistant Professor with Harvard University, Cambridge, MA, USA, from 1977 to 1980. He then joined the Department of Mathematics, Statistics and Computer Science (MSCS), University of Illinois at Chicago (UIC), Chicago, IL, USA, and served for more than 30 years. From 2005 to 2011, he was a University Distinguished Professor of UIC and Joint Professor with the Department of Electrical and Computer Engineering, MSCS, UIC. After retiring in 2011, he joined the Department of Mathematical Sciences at Tsinghua University in Beijing, China, where he served for over 10 years. His research interests include nonlinear filtering, bioinformatics, complex algebraic geometry, Cauchy–Riemann geometry, and singularities theory. Dr. Yau has been the Managing Editor and Founder of Journal of Algebraic Geometry since 1991 and the Editor-in-Chief and Founder of Communications in Information and Systems since 2000. He was the General Chairman of the 1995 IEEE International Conference on Control and Information. He received the Sloan Fellowship in 1980, the Guggenheim Fellowship in 2000, and the American Mathematical Society Fellow Award in 2013. In 2005, he was entitled the UIC Distinguished Professor. In 2019, he won the Chern Prize of Lifetime Achievement in Mathematics.Bingui Chen is professor of mathematics at Sun Yat-sen University in Guangzhou, China.Xiankui Meng is progressor of mathematics at Beijing University of Posts and Telecom in Beijing, China.Huaiqing Zuo is professor of mathematics at Tsinghua Universit in Beijing, China.

• Preface.- CR manifolds and Levi forms.- Kohn-Rossi cohomology and complex Plateau problem.- Nonconstant CR morphisms between compact strongly pseudoconvex CR manifolds.- Bergman functions and the equivalence problem of singular domains.- Bibliography.