Sanjana Verma

PhD in Applied Mathematics specializing in computational imaging optics. Developed inverse models, computational frameworks, and high-fidelity ray tracers for the design, validation, and performance optimization of freeform imaging systems. Achieved up to 1000× improvement in imaging performance metrics over state-of-the-art methods.

Experienced in translating advanced mathematical theory into efficient computational techniques for advanced optical system design applications, demonstrated through doctoral research conducted in close collaboration with ASML.

Doctoral Researcher - Computational Optics Group, Eindhoven University of Technology - The Netherlands

(2021-09 - 2026-01)

Inverse methods for the optical design of freeform imaging systems. Research in collaboration with ASML B.V., The Netherlands; funded by TKI-HTSM 19.0162

• Formulated inverse models for imaging system design by combining geometrical optics and optimal transport theory
• Enabled a new class of computational design methods for fully freeform imaging systems
• Conducted tolerance analysis to assess sensitivity of representative freeform configurations to alignment perturbations
• Developed derivative-free optimization algorithms for minimizing optical aberrations
• Established a fundamental physics-based constraint enabling a direct design criterion
• Constructed a fourth-order accurate local approximation scheme based on B-spline quasi-interpolation for high-accuracy numerical simulations in ray tracers
• Developed Monte Carlo ray tracers for the analysis and validation of freeform imaging systems, with simulation results consistent with commercial optical design software
• Designed diffraction-limited inverse freeform systems
• Achieved up to 1000× reduction in RMS spot size compared to classical designs

Master's Research Student - Indian Institute of Technology Bhubaneswar - India

(2020-08 - 2021-05)

• A comparative study of spectral and finite volume methods (Jan.-May, 2021)
• Linear multistep methods for optimal control problem (Aug.-Dec., 2020)

Research Intern - CSIR-SRTP - India

(2020-06 - 2020-08)

Mathematical modeling for the sustainable use of resources. Analyzed mathematical models and surface response curves to study chemical kinetics for dye degradation; co-authored a book chapter

PhD - Computational and Applied Mathematics - Eindhoven University of Technology (2021-09 - 2026-01)

M. Sc. - Mathematics - Indian Institute of Technology Bhubaneswar (2019-08 - 2021-05)

B. Sc. (Honors) - Mathematics - Jesus and Mary College, University of Delhi (2016-08 - 2019-05)