Job Description

About the Role
Lab/Group: AIREX Lab
Institute: Indian Institute of Science (IISc), Bangalore
Position Type: Full-time (R&D / Academic Research)
Level: Senior Postdoc / Research Scientist / Visiting Scientist
Experience: PhD + Demonstrated Research Leadership
The AIREX Lab at IISc Bangalore is seeking a visionary and technically rigorous Research Lead to spearhead projects at the intersection of Computational Mathematics and Artificial Intelligence.
This position is open to high-potential Postdoctoral fellows, as well as experienced researchers and academicians seeking a dedicated R&D role. The selected candidate will not only contribute code and theory but will also lead a research group, defining technical roadmaps for solving complex PDEs using Scientific Machine Learning (SciML).
Core Responsibilities
1. Research Leadership & Strategy

• Group Leadership: Lead a team of Interns, Research Associates, MTech and PhD students, providing technical mentorship and code reviews.

• Grant & Publication Strategy: Lead the writing of high-impact journal papers and assist the Principal Investigator (PI) in drafting grant proposals and technical reports.

2 . Technical Innovation (SciML & Computational Math)

• Hybrid Solver Design: Architect algorithms that embed physics constraints (conservation laws, symmetries) into neural networks (e.g., PINNs, DeepONet, Fourier Neural Operators).

• Numerical Implementation: Develop high-fidelity solvers using Finite Element Methods (FEM) or Finite Volume Methods (FVM) as ground truth generators or differentiable layers.

• HPC Optimization: Orchestrate large-scale training and simulation runs on supercomputing clusters using parallel computing paradigms (MPI, OpenMP, Multi-GPU).

3 . Collaboration & Dissemination

• Bridge the gap between pure mathematics and engineering applications within the AIREX Lab.

• Present findings at top-tier conferences.

Requirements
Qualifications
1. Education & Experience

• Ph.D. in Applied Mathematics, Computational Science, Aerospace, Mechanical Engineering, or Computer Science.

• Target Audience: We actively encourage applications from:

• Senior Postdocs with 2+ years of experience.

• Academicians/Faculty on sabbatical or seeking a transition to full-time R&D.

• Industry Researchers specializing in simulation and AI.

2. Essential Technical Skills

• Numerical Analysis: Deep understanding of discretization schemes (FEM/FVM), stability analysis, and error estimation.

• Scientific ML: Proven expertise in Physics-Informed Neural Networks (PINNs) or Neural Operators.

• High-Performance Computing: Proficiency in parallelizing scientific codes using MPI or CUDA.

• Programming: Mastery of Python (for ML) and C++ or Fortran (for core numerics).

3. Leadership Capabilities (Critical)

• Demonstrated ability to manage research projects from conception to publication.

• Experience mentoring graduate students or junior engineers.

• Strong communication skills to articulate complex mathematical concepts to cross-disciplinary teams.

Benefits

• Prestige: Work at India's premier institution for scientific research and higher education.

• Impact: Contribute to solving grand challenges in fluid dynamics, material science, or climate modelling using AI.

• Environment: Access to state-of-the-art High-Performance Computing infrastructure and a collaborative academic ecosystem.

Skills Required