Invitation to research of new mathematics from biology: Evolution algebras
Jianjun Tian · Contemporary mathematics - American Mathematical Society · 2016
In this expository article, I propose new research topics and open problems on evolution algebras, meanwhile I summarize my research on this new subject in order to give a coherent perspective. Most of my results were published in my book [4], and a few results are newly derived. I also mention some recent developments by other researchers. For most of the open problems or topics, I provide suggestions about how to study them. I also describe a background story of evolution algebras where the reader may enjoy the interaction history between algebras and genetics. Evolution algebras have raised some interests in the mathematics community. However, it is my hope that the open research projects in this invitation will attract more attention from both applied and pure mathematicians, be a welcome letter to anyone who is interested in conducting research in this area, and eventually add new dimensions to mathematics itself.