- Specialized Differential Forms and their applications in Computer Science (Artificial Intelligence), Mechanical Engineering (Fluid Dynamics and Mechanics of Materials), Cosmology (Einstein Field equations), and many other applications.
 - Mathematics and its application in physics, chemistry, engineering, biology, medicine, sociology, superconductivity, and cosmology.
 - Mathematics and its application in social phenomena, politics, and management.
 - Mathematics and its application in arts, music, and paintings.
 - Fractional Calculus, Fractals and Applications.
 - Iso-, geno-, hyper-, isodual-numbers and Hadronic mechanics/chemistry: An extended quantum mechanics/chemistry framework.
 - Novel Mathematics and Numerical Algorithms for New Science, Technology, Sociology, Arts, Music, and Sustainability.
 - Mathematical and Resource Optimization.
 - Mathematical Data Science.
 
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