| Mathematical Analysis and Differential Equations | 1 | Development of software, based on Scilab, for calculating thermal conductivity in objects made of different materials and with a random geometric shape specified by the user. | Companies from various industries - partners of TU-Sofia |
| Mathematical Analysis and Differential Equations | 2 | Research into various types of stability and numerical approximations of dynamical systems and fractional-order equations with the aim of their application in medicine, biology, and engineering. | Companies from various industries - partners of TU-Sofia |
| Mathematical Analysis and Differential Equations | 3 | Study of hyperbolic equations of the Keldysh type, which have specific applications in plasma physics and optics. | Companies from various industries - partners of TU-Sofia |
| Mathematical Modelling and Numerical Methods | 4 | Mathematical modeling of tasks for a wide range of industries - medicine, ecology, manufacturing, etc. | Companies from various industries - partners of TU-Sofia |
| Applied Physics | 5 | Modeling of devices and device components for which deep knowledge of the physical foundations of their functioning is essential. | companies producing sensors, detectors, control systems, chips |
| Informatics | 6 | Analysis of large data sets and streams with applications in various fields of industry and business - economics, medicine, ecology, biology, chemistry and a wide range of industries. | Companies from various industries - partners of TU-Sofia |
| Informatics | 7 | Combinatorial optimization algorithms and applications in business and industry (NP-hard problems) | Companies from various industries - partners of TU-Sofia |
| Informatics | 8 | Development of software and cloud services for business and industry (medicine, GIS, ecology, economics, etc.) | Companies from various industries - partners of TU-Sofia |
