Molecular topology is a mathematical approach rooted in graph theory that models molecules as graphs, where atoms are represented as vertices and chemical bonds as edges. This concept traces its origin to one of the earliest topological problems—the Königsberg Bridge problem, where Leonhard Euler sought to determine whether one could traverse all seven bridges in the city of Königsberg without retracing any step. This problem established the foundations of graph theory, inspiring the development of molecular topology, where molecular structures are described through connectivity indices that capture their shape and branching. 

Former Full Professor of Physical Chemistry and director of the Molecular Topology and Drug Design Research Unit at the University of Valencia, Spain. With over 200 peer-reviewed publications and six international patents, professor Galvez was a pioneering figure in drug discovery using molecular topology, a method that has led to the identification of new hit and lead compounds targeting diseases such as cancer, Alzheimer’s, and malaria, just to mention a few.

Leading expert in QSAR (Quantitative Structure-Activity Relationship) methodologies, Galvez's research focused on the application of molecular topology to accelerate drug design without the need for traditional experimental screening. His contributions have been recognized by memberships in esteemed organizations including the Spanish Royal Society of Chemistry, the Academy of Medicine of Valencia, and the International Academy of Mathematical Chemistry, where he is a founding member.

Throughout his career, professor Galvez has made significant strides in green chemistry and more recently in agrochemistry, leading efforts to make drug discovery more sustainable. Even after his death, his research continues to have a profound impact on the intersection of chemistry, mathematics, and medicine.

Professor Jorge Galvez, along with other distinguished scientists such as Lemont Kier and Lowell Hall, were pioneers in the field, introducing the concept of molecular connectivity. To mention a few of the most important contributions, Kier's connectivity indices serves as vital tools for estimating molecular properties like lipophilicity, which is crucial for drug absorption and distribution, while Galvez's charge indices integrate information about the molecule’s electronic structure, such as the valence, giving information of how molecular charge distributions influence biological activity. Thanks to topological descriptors, accurate computational predictions enhance the predictive power of drug discovery efficacy models. Molecular topology provides a bridge between structural features and pharmacological and biological outcomes, playing an essential and basic role in modern drug design.