(The following topics include but are not limited to)
Topic 1: Mechanics
Applied Mechanics
Analytical Mechanics
Computational Mechanics
fluid mechanics
Explosion mechanics
Vibration Science
Geomechanics
Geodynamics
Rotor dynamics
Soil Mechanics
Plastic fracture and damage mechanics
force analysis
Mechanics and Mechanical Production
Topic 2: Chemistry
Research on Catalysts and Catalytic Reactions
New energy development and energy chemical industry
Clean Production and Green Chemical Technology
Polymer Engineering
Energy conservation and emission reduction, chemical industry
Process reinforcement
Pharmaceutical Engineering
Biochemistry and Technology
Electrochemical Engineering
Waste management and environmental chemicals
Chemical Thermodynamics and Dynamics
Chemical Process Systems and Information Engineering
Chemical machinery and equipment
Paper and fiber engineering
Food Science and Engineering
Topic Three: Mathematics
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