Overview of the Program

Mathematics is the science and study of quality, structure, space, and change. It deals with logical reasoning and quantitative calculation, and its development has involved an increasing degree of abstraction of its subject matter. Today, mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new disciplines.

The School of Mathematics and Statistics at Beijing Institute of Technology (BIT) originates from the Mathematics Teaching and Research Office in the Basic Science Department in the 1960s. The School of Mathematics was founded in 2011, and renamed as the School of Mathematics and Statistics in 2013. Approved by the Academic Degrees Committee of the State Council, the School was among the first group of institutions that is qualified to confer Ph. D degrees in applied mathematics in 1981, and was approved to confer Ph. D degrees in mathematics in 2010 and Ph. D degrees in statistics in 2011. Its “Applied Mathematics” was approved as a key subject in 2013 by the Ministry of Industry and Information Technology. The laboratory on “Mathematical Characterization, Analysis and Applications of Complex Information” was acknowledged as a Beijing key laboratory in 2015. The Mathematics subject has been in the top 1% according to the Essential Science Indicators (ESI) since 2021. According to the QS World University Rankings by Subject in 2021, the rank of Mathematics subject in BIT is 201-250.

Currently, there are 69 faculty members working on mathematics, including 23 professors, 28 associate professors and 22 assistant professors. Among them, there are two winners of the National Natural Science Foundation for Distinguished Young Scholars, 2 Changjiang Scholar Chair Professors acknowledged by the Ministry of Education (1 of them is a fellow of the American Mathematical Society, and both of them are fellows of the Institute of Mathematical Statistics), 5 scholars supported by the Program for New Century Excellent Talents of the Ministry of Education, and 2 winners of the “Beijing Outstanding Teacher Award”. After more than 30 years of development, the following 5 preponderant research fields stand out:

1) Algebra and Representation Theory

2) Geometry, Topology and Analysis

3) Differential Equations and Their Applications

4) Graph Theory and Combinatorial Optimization

5) Computation, Mechanics and Control Theory

(1) Algebra and Representation Theory

This discipline focuses on structures and theories related to algebraic groups, quantum groups, Lie algebras, cyclotomic Hecke algebras, Hecke-Clifford algebras and non-commutative Iwasawa algebras. More specifically, this field of study covers the modular representation of semisimple algebraic groups, integral Schur-Weyl duality between classical groups of types BCD or their quantum groups and the Brauer algebras or BMW algebras, respectively, modules for the cyclotomic Hecke algebras of type G(r,p,n), Z-graded representation theory of quiver Hecke algebras, spin symmetric groups and Hecke-Clifford algebras, queer Schur superalgebras, Q-q- Schur superalgebras, affine and cyclotomic Yokonuma-Hecke algebras, reflexive ideals in Iwasawa algebras, derivations of generalized matrix algebras, Lie algebras and vertex operator algebras, cluster algebras, gentle algebras, classical groups over rings and coding theory.

(2) Geometry, Topology and Analysis

This discipline focuses on differential geometry, topology, complex analysis, operator algebras theory, etc. More specifically, this field of study covers geometric flows in Riemannian and complex geometry, geometry and topology of manifolds, hypersurface geometry; fuzzy topological theories, including theories for lattice-valued measures, pointwise approach, separation axioms and fuzzy compactness; operator algebras theory, Lie algebras of operator and their applications in physics and operator spectral theory; and deformation theory of Kleinian groups.

(3) Differential Equations and Their Applications

This discipline focuses on definite solutions for evolution equations such as their well-posedness and asymptotic behavior, eigenvalue problems for nonlinear elliptic partial differential equations, well-posedness of Boltzmann equations and scattering theory for dispersive partial differential equations, as well as their applications in automatic control, image processing, bioscience and life science, etc.

(4) Graph Theory and Combinatorial Optimization

This discipline studies graph structures, conditions for the existence of a factor and its extreme value, coloring, parameters and chemical index, random graphs and their applications; as well as fuzzy matroids and fuzzy optimization and applications of their mathematical models and optimization methods into engineering design, network flows, economic management of transportation, logistics and supply chains, etc.

(5) Computation, Mechanics and Control Theory

Capitalizing on the advantage interdisciplinary studies, this discipline is based on practical problems in engineering sciences, mechanics, materials science, automation, etc. and focuses on universal and key scientific issues, such as control theory, High Performance Computing (HPC) and fluid mechanics. The study covers control theory, distributed parameter systems, nonlinear systems, stochastic systems, optimal control, geometric control, scientific computation, finite element methods, multiscale analysis, wavelet transform computation, general mechanics and Computational Fluid Dynamics (CFD).

Length of Schooling

The basic length of schooling for master students is 2 years. In principle, students should complete the courses in the first academic year. Thesis work time should not be less than one year. The maximum length of study for master students is extended by 0.5 years on the basis of 2 years. The basic length of schooling for Ph.D. students is 4 years. In principle, students should complete the courses in the first academic year. Thesis work time should not be less than three years. The maximum length of study for Ph.D. students is extended by 2 years on the basis of 4 years.