Nivedita aims to ground quantum field theory in solid math

Nivedita joins Perimeter Institute this fall through a joint postdoctoral fellowship for Advanced Study, a highly selective arrangement reflecting the promise of her work. The theoretical physicist, whose path moved from materials engineering to topology before completing a PhD in pure mathematics, will focus on grounding quantum field theory in rigorous mathematical techniques. “I wanted to be in a place where I could be a mathematician at heart, but also be immersed in theoretical physics when applying for postdocs,” Nivedita says.

Topology and Condensed Matter Physics Shaped Nivedita’s Mathematical Focus

Nivedita’s academic path began with applied science, a foundation that ultimately informed her shift toward abstract mathematics. Initially training as a materials engineer with a minor in cognitive science at the Indian Institute of Technology Kanpur, she found herself drawn to the theoretical underpinnings of physical systems. “I gradually moved from working with materials to condensed matter theory, a branch of theoretical physics,” she explains, detailing an early fascination with the behaviour of matter at a fundamental level.

This transition led Nivedita to explore the mathematical framework of topology, a field concerned with properties preserved through continuous deformations. “I then turned to topology, a branch of mathematics, before moving into pure mathematics, which I ultimately pursued for my PhD,” she says, outlining a deliberate progression that highlights the interconnectedness of these disciplines.

This sequence reflects a growing desire to not simply describe physical phenomena, but to establish a rigorous mathematical foundation for them. Perimeter Institute’s quantum information group conducts research in quantum foundations, quantum algorithms, and quantum error correction theory, providing a fitting environment for this pursuit. Nivedita’s current research focuses on applying mathematical rigour to quantum field theory, a complex area of physics that attempts to describe the behaviour of subatomic particles.

She intends to axiomatize these theories, establishing a set of fundamental principles and deriving all other results from them. “I find my area of research very creative because it allows me to define new mathematical structures and gauge whether a definition is good, and see it evolve,” she notes, emphasizing the exploratory nature of her work.

She also stresses the importance of a supportive environment, advising others to “Surround yourself with kind and supportive people,” and to “Don’t just chase prestige; consider the human aspect of the endeavour, such as how uplifting and collaborative the environment is.”

Axiomatizing Quantum Field Theories with Rigorous Mathematical Techniques

Recent Perimeter research, reported on June 24, 2026, derived a quantum information recovery path, while research on June 30, 2026, linked 3D gravity to 2D quantum surfaces. “I’m very excited about this opportunity,” Nivedita stated, anticipating the collaborative environment and the chance to apply rigorous mathematical tools to the complexities of quantum field theory.

More like this

Quantum Research NewsArmy & Maryland detail quantum light-routing advance

PhysicsUCF team identifies signs of altermagnetism in layered material

PhysicsWebb Telescope Finds PAHs in a Galaxy with Very Few Metals

PhysicsWebb spots a rare, metal-poor galaxy overdensity at redshift 5.945