Explore the mathematical connection between dimer models and Majorana fermions in this 26-minute conference presentation from Dublin Institute for Advanced Studies' Summer Studentships program. Delve into the theoretical framework that links these two important concepts in mathematical physics, examining how dimer models can serve as effective representations of Majorana fermion systems. Learn about the underlying mathematical structures, key properties, and applications of this relationship through detailed analysis and examples. Gain insights into advanced topics in statistical mechanics and quantum field theory as the speaker demonstrates the utility of dimer models in understanding Majorana fermion behavior and their potential applications in quantum computing and condensed matter physics.