Mathematics has formed several influential research directions at home and abroad, such as algebra and algebra combination, algebraic topology and differential topology, differential dynamic system, operator approximation and complex analysis, combinatorial design and combinatorial geometry, operator algebra, quantum calculation and intelligent calculation, modern mathematics history and so on. These directions have not only achieved excellent research results, but also formed a reasonable research echelon, which is supporting and continues to support the development of the college. With the support and help of Academician Wan Zhexian and under the leadership of Professor Wang Yangxian, algebra and algebra combination have formed an excellent research team. Since 1990s, he has made outstanding achievements in the research of Lie Algebra and Combinatorial Scheme of Lie Group, published a monograph "Matrix Combinatorial Scheme", won the first prize of scientific and technological progress in Hebei Province, and presided over several national natural science funds. It has trained outstanding talents such as Professor Zhao, winner of the Hundred Talents Program of Chinese Academy of Sciences. In the research on the combination of algebra and ring theory, the research team represented by Professor Zhu Yuansen has achieved a number of influential research results in China, and the second volume of the International Academic Conference on Ring and Root Theory and the Dictionary of Mathematics compiled by him have had a good influence at home and abroad. Algebraic topology and differential topology are one of the main research directions of mathematics. Since 1950s, the research team of topology, with Professor Wu Zhende as its founder and leader, has achieved fruitful research results in this field, and published more than 80 papers in high-level academic journals, some of which are in the leading position in the world and have attracted extensive attention from peers. The team was supported by several national natural science funds and won three provincial and ministerial scientific and technological achievement awards. The research echelon of differential dynamic system was established in the late 1970s. Under the leadership of Professor Chen Zaoping and Professor He Lianfa, a series of important and unique research results have been achieved around the core research problems in the theory of power system, which has won wide acclaim in the field of power system at home and abroad. He has been supported by the National Natural Science Foundation for many times, and his research achievements have won the Hebei Science and Technology Progress Award for three times. The team is also praised by peers as an important base for domestic power system research and talent training. Liu Jiaoshou, winner of the National Science Fund for Distinguished Young Scholars in Peking University, is one of the outstanding representatives, and the team of young teachers and professors has been selected into the "New Century Excellent Talents Support Program of the Ministry of Education". The team successfully held the national "20 12 academic conference on power system and related topics". The research team of combinatorial design and combinatorial geometry was formed in 1980s, and developed after Professor Kang Qingde and Professor Ding Ren returned from studying abroad. It is one of the earliest research teams in this field in China, and has now formed an excellent research team, and combinatorial theory research has always been in a leading position at home and abroad. For more than 30 years, the team has carried out a series of pioneering work in the fields of large set and superset of block design and large set and superset of graphic design, and achieved many internationally renowned research results; Outstanding achievements have been made in the research of paving, zoning and triangulation, and the research results have been published in international authoritative academic journals and important domestic journals. Since 199 1, the team has been supported by the National Natural Science Foundation, won the Natural Science Award of the Ministry of Education 1 and won four scientific and technological progress awards in Hebei Province. The team has also trained a large number of excellent combinatorial theory researchers, such as Professor Chang Yanxun, Professor Lei Jianguo and Professor Yuan Liping. Operator approximation and complex analysis are important branches of function theory, and Professor Guo Shunsheng and Professor Huang Sha are early scholars engaged in this field in China. Since 1980s, the team has solved the problem of operator approaching bounded variogram by probability method, and achieved pioneering results. Then, the equivalence theorem of operator approximation and quasi-interpolation operator approximation are completely and systematically described by using the unified smooth module, which fills the international research gap. Some breakthroughs have been made in the study of function theory and boundary value problems of complex equations, noncommutativity of Clifford numbers, harmonic analysis on typical groups and properties of holomorphic functions on manifolds corresponding to non-Euclidean metrics. The team won two prizes for scientific and technological progress in Hebei Province, presided over the completion of several national natural science funds, and published a monograph in springer Publishing House. The research team of operator theory and operator algebra led by Professor Jiang Chunlan, a Zhao Yan scholar, has introduced complex geometry, K- group and exponential theory in recent ten years, and achieved a series of internationally influential research results in operator theory and operator algebra classification. Related papers were published in top international magazines "Mathematical Invention" and "advances in mathematics". The corresponding research results won the second prize of the Ministry of Education, the first prize of scientific and technological progress in Hebei Province and the first prize of natural science in Hebei Province. Supported by the National Key Natural Science Foundation, the Outstanding Youth Fund Class B and several national natural science foundations. The doctoral thesis of Kui Ji, a trained doctoral student, won the national excellent doctoral thesis on 20 10. The team also successfully held the International Congress of Mathematicians "Operator Algebra and Applied Satellites" and several international academic conferences. In addition, the college has also made good achievements in applied probability and actuarial mathematics, artificial intelligence, subject teaching theory, computer-aided design and graphic image processing, intelligent instrument and virtual instrument research, cryptography and network security, computer network and other research, which has been highly praised by colleagues at home and abroad.