My name is Additi Pandey. I am a PhD candidate in the Division of Applied Mathematics at Brown University. My current interests are in numerical analysis, operator learning, PIML, and turbulence. I have previously worked in number theory and formalising mathematics (checkout my repositories Formalising Mathematics Project 1, 2, 3 as well as this). My Master's thesis, entitled "Quadratic & Cubic Reciprocity Laws" delved into the intricacies of the quadratic and cubic reciprocity laws, as well as primes of the form x² + ny².

I hold a ScM in Applied Mathematics from Brown University, an MSc in Pure Mathematics from Imperial College London, and a Bachelor of Science degree in Mathematics from Jesus and Mary College, University of Delhi. Additionally, I attended a graduate summer school at the Tata Institute of Fundamental Research in 2021 and a summer school on AI and computer vision at the International Institute of Information Technology, Hyderabad, in 2023. My research experience encompasses work in the areas of algebraic number theory, epidemic modeling, geometry, and group theory, which I have conducted at institutions such as Imperial College London, IIT Kanpur, Delhi University, and the Harish Chandra Research Institute in Allahabad.

Publications and Preprints

1. Nath, Kamaljyoti, Additi Pandey, Bryan T. Susi, Hessam Babaee, and George Em Karniadakis. “AMORE: Adaptive Multi-Output Operator Network for Stiff Chemical Kinetics.” arXiv preprint arXiv:2510.12999 (2025). arXiv:2510.12999
2. Shukla, Khemraj, Zongren Zou, Chi Hin Chan, Additi Pandey, Zhicheng Wang, and George Em Karniadakis. “NeuroSEM: A hybrid framework for simulating multiphysics problems by coupling PINNs and spectral elements.” Computer Methods in Applied Mechanics and Engineering 433 (2025): 117498.