Pranav Singh

Pranav Singh is a Senior Lecturer (Associate Professor) in the Department of Mathematical Sciences at the University of Bath, United Kingdom. He is affiliated with the EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa) and the Institute for Mathematical Innovation (IMI). His academic journey includes a Junior Research Fellowship at the University of Oxford and a PhD from the University of Cambridge.

• PhD in Applied Mathematics, University of Cambridge (2012–2016)
• MASt in Applied Mathematics, University of Cambridge (2008–2009)
• BTech & MTech in Computer Science and Engineering, Indian Institute of Technology Delhi (2000–2005)

His research lies at the intersection of numerical analysis, quantum mechanics, and computational mathematics. Key areas include Numerical Methods for Evolutionary Equations, Quantum System Simulation, Optimal Control, and Geometric Numerical Integration. He employs advanced techniques such as splitting methods, Krylov subspace methods, deep learning, and Lie group methods. Applications span quantum computing, NMR/MRI, laser-matter interactions, and photovoltaic systems.

The recent publications reflect a strong focus on high-accuracy numerical schemes for PDEs and quantum systems, with an emphasis on convergence, stability, and efficiency. Themes include splitting methods, Hamiltonian simulation, and rational approximants, indicating a trend toward provably convergent and structure-preserving algorithms in both classical and quantum domains.

Pranav Singh has secured multiple research grants, including projects funded by the London Mathematical Society and the Heilbronn Institute for Mathematical Research. These include workshops on quantum complexity, computational mathematics for quantum technologies, and N-body computations, highlighting his leadership in emerging areas of computational mathematics.

He is actively involved in software development for research, having created magpy for quantum spin simulations and expsolve for solving differential equations. He is accepting doctoral students and contributes to academic training through the SAMBa CDT. His work aligns with UN Sustainable Development Goal 4: Quality Education.