anjali singh
@anjalisingh19
Scientific machine learning researcher applying deep learning to PDEs.
What I'm looking for
I’m a Ph.D. scholar in Mathematics at IIT Guwahati, focused on “Numerical Analysis of Deep Learning Methods for the Allen-Cahn and Cahn-Hilliard Models.” My work blends scientific machine learning with rigorous numerical thinking to tackle phase-field models and nonlinear PDEs through neural network-based solution frameworks.
Through my Ph.D. and publications, I’ve developed and evaluated deep learning methods such as “Mc-DSOSLS,” “Mc-PINN,” and hybrid Strang-splitting deep neural networks for the Allen-Cahn and Cahn-Hilliard equations, including phase-field formulations. I’m especially motivated by neural approaches that are both accurate and computationally efficient, and I bring strong teaching experience as a Teaching Assistant across mathematics and scientific computing courses.
Experience
Work history, roles, and key accomplishments
PhD Researcher in Mathematics
Indian Institute of Technology Guwahati
Jan 2020 - May 2026 (6 years 4 months)
Developed deep learning numerical methods for Allen-Cahn and Cahn-Hilliard phase-field PDEs, using hybrid least-squares and conservative approaches. Published 4 journal papers and has additional work under review with focus on evolving-surface formulations and sampling-based training.
Education
Degrees, certifications, and relevant coursework
Indian Institute of Technology Guwahati
Doctor of Philosophy (PhD) in Mathematics, Mathematics
2020 - 2025
Activities and societies: Supervisor: Prof. Rajen Kumar Sinha.
Ph.D. in Mathematics at IIT Guwahati (2020–2025). Thesis: Numerical Analysis of Deep Learning Methods for the Allen-Cahn and Cahn-Hilliard Models; defended on 19 May 2026 under Prof. Rajen Kumar Sinha.
National Institute of Technology Warangal
Master of Science (M.Sc.) in Mathematics, Mathematics
2017 - 2019
Grade: First Division; Gold Medalist
M.Sc. in Mathematics at NIT Warangal (2017–2019), graduating with First Division. Gold Medalist.
Miranda House College, University of Delhi
Bachelor of Science (B.Sc.) in Mathematics, Mathematics
2014 - 2017
Grade: First Division
B.Sc. in Mathematics at Miranda House College, University of Delhi (2014–2017). Graduated with First Division.
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