Abstract: Basic research and frontier research is of great strategic significance, and has attracted the attention of major countries in the world, such as the United States and European countries. In terms of mathematics and its interdisciplinary subjects, physics and its interdisciplinary subjects, chemistry and its interdisciplinary subjects, nanotechnology, major countries in the world have deployed strategies and planned to carry out top-level design for the development of basic and frontier fields. The analysis of the important progress in 2019 shows that the development of cross fields in basic and frontier research is mainly manifested in the following aspects: major breakthroughs in mathematical research include the proof of Riemann hypothesis, the failure conditions of Euler equation, the algorithm of maximum digital multiplication, etc. In the study of standard model, important progress has been made in antimatter wave particle duality, charge parity symmetry breaking, five quark state, neutrino mass, etc. In the process of exploring black holes, multi-national joint observation has increased the ability of human beings to understand the universe. In 2019, human beings first drew pictures of black holes; multi-national scientists jointly found the largest mass stellar black holes. In the field of topological state, scientists found three-dimensional quantum Hall effect in bulk materials for the first time; a large number of materials with topological structure were screened out in natural materials, which changed the research paradigm of topological quantum materials. In the field of chemical synthesis, important progress has been made in the chemical synthesis of structure prediction and specific functions. In the field of nanotechnology, major breakthroughs have been made in nano medicine, carbon nanotube chips, nano robots and nano devices. The development of the cross cutting areas of the basic and frontier research shows the characteristics of deepening to the micro scale, expanding to the macro scale, being green, and convergence.

Key words: Basic Research, Frontier, Strategy, Plan, Significant Progress