My research focuses on understanding topological phases of matter, especially in low-dimensional materials like graphene. I computationally study the interplay between band topology, symmetry, and electronic properties in these systems. A major interest is engineering topological phases and controlling topological phase transitions, for example in graphene heterostructures. To do this, I calculate electronic band structures and transport properties like conductivity, incorporating effects like strain, spin-orbit coupling, and exchange interactions. I employ techniques including tight-binding modeling, ab initio methods, and Landauer-Buttiker formalism. My expertise involves using analytical and numerical methods to reveal the links between band topology, magnetism, and electronic phenomena in low-dimensional topological materials. Key goals are to design topological phases in hybrid materials like graphene-layered heterostructures, and to manipulate transitions between trivial, topological, and semimetallic states by tuning parameters like layer thickness, gate voltage, and mechanical strain. I aim to advance the fundamental understanding of topology in condensed matter systems, and aid the development of novel topological materials for applications.