Mathematical Modelling by Help of Category Theory

Dimitrii Legatiuk is a mathematician working at the University of Erfurt, Germany. The main research interests of Dr. Legatiuk are related to Clifford analysis in continuous and discrete setting, discrete octonionic analysis, numerical analysis of partial differential equations, classical complex function theory and its applications, as well as the formalisation of mathematical modelling by the help of category theory and type theory. For his outstanding contribution to the field of Clifford analysis, Dr. Legatiuk was awarded the W.K. Clifford prize in 2020.

• - 1. Modelling process in engineering.- 2. Preliminaries from category theory.- 3. Categorical approach to mathematical modelling.- 4. Engineering perspectives and applications.- 5. Type-theoretic and abstract algebraic approaches to conceptual modelling.- 6. Epilogue.