Akansha Tyagi
@akanshatyagi
PhD mathematician specializing in fixed-point theory and iterative methods.
IndiaWhat I'm looking for
I am a PhD scholar in Mathematics at the University of Delhi specializing in fixed-point theory, iterative algorithms, and fractal generation, with peer-reviewed publications and ongoing research that bridge complex dynamics and numerical stability. I design and analyze advanced iterative methods, develop performance indicators for fractal generation, and communicate results through rigorous academic writing and collaborations.
I have qualified UGC-JRF, CSIR-NET, and GATE (Mathematics), authored a 2025 journal article on Khan iteration and hold experience creating graduate-level problems and solutions while contributing to collaborative research and technical communication. I am open to PhD/postdoc research roles, academic collaborations, and positions leveraging iterative-methods expertise.
Experience
Work history, roles, and key accomplishments
UDPhD Scholar
University of Delhi
Conducting PhD research in fixed-point theory and iterative algorithms; developed Khan-iteration fractal generation methods with published escape criteria and dynamical analysis. Produces rigorous mathematical proofs, computational experiments, and technical publications advancing fractal dynamics and numerical stability.
Mathematics Expert
Independent / Academic Contributions
Authored graduate-level mathematics problems and solutions focused on iterative methods, real analysis, and fractal dynamics; contributed to collaborative research communication and manuscript preparation. Supported academic projects with rigorous problem design and technical writing.
Education
Degrees, certifications, and relevant coursework
UDUniversity of Delhi
Doctor of Philosophy, Mathematics
Activities and societies: Research publications, academic collaborations, conference submissions
PhD scholar researching fixed-point theory, iterative algorithms, and fractal generation; ongoing doctoral research at the Department of Mathematics.
UDUniversity of Delhi
Master of Science, Mathematics
Completed a Master's degree in Mathematics with coursework and research relevant to iterative algorithms and fixed-point theory.
UDUniversity of Delhi
Bachelor of Science (Hons.), Mathematics
Completed a Bachelor of Science (Honours) in Mathematics with foundational coursework in real analysis and numerical methods.
Availability
Location
IndiaAuthorized to work in
Job categories
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