He invented a formula named as 'HCR's Rank Formula' in Algebra & derived a series named as 'HCR's Series' in Number Theory. He proposed a theory 'HCR's Theory of Polygon' & he derived a generalized formula for regular polyhedrons (all five platonic solids). He derived infinite series for analysis of conical sections. He authored his first book 'Advanced Geometry' first published by Notion Press, Chennai, India. This book is based on new academic research in higher education. It mainly deals with the radiation energy, emitted by uniform point-sources, striking 2-D & 3-D objects in the space and advanced knowledge of Geometry & Trigonometry.
Research in education & Engineering.