(Topics include but are not limited to)
Linear algebra of numbers
Matrix theory
Vector analysis
Complex analysis
ordinary differential equation 
numerical analysis
probability theory
mathematical statistics
Operations Research
Game theory
control theory
Combinatorial mathematics
Data analysis
statistics
geometry
Parameter calculation
mathematical modeling 
nonlinear analysis 
Algebraic topology
catastrophe theory
functional analysis
differential geometry 
Set theory
mathematical logic
Algebraic number theory
Analytic Number Theory
Function Theory
discrete mathematics 
Symmetry and integrability systems
Complex function
Real variable function
Special functions and orthogonal polynomials
The Application of Computer Mathematics
Quantum Algorithm and Machine Learning
Quantum programming
quantum optics
Quantum Information Processing
Quantum tensor network
Quantum error correction and mitigation
Fault-tolerant quantum computing
Quantum control
Hybrid quantum classical system
Quantum Computing and Network Security
Condensed Matter Physics and New Materials
Physics and Applied Physics
nuclear physics
Sound/Electricity/Light/Heat
Atomic Physics
Solid state physics
Structure and physical properties
Electrical and Electronic Technology
Semiconductor Physics
Optoelectronics
Optoelectronic Technology and Its Applications
Nuclear electronics
Nuclear Technology and Applications
Vibration
Noise and its control
Electro-acoustic technology 
Circuit Principles and Analysis
Quantum Electronic Informatics
Photonics informatics
Space Science and Technology