Manipriya Velumani

MathematicsCore Foundation: Advanced theoretical and applied mathematics, with strong mastery over Linear Algebra, Real & Complex Analysis, Abstract Algebra, Differential Equations, and Discrete Mathematics.Problem-Solving & Pedagogical Delivery: Proven ability to break down complex proofs and multi-step quantitative problems into intuitive visual concepts for national and international curricula (CBSE, ICSE, IGCSE).Research & Academic Rigor: Experienced in mathematical modeling, conference paper presentations, and theoretical formulation with award-winning technical communication.StatisticsStatistical Inference & Modeling: Skilled in hypothesis testing ($t$-tests, Chi-square, ANOVA), confidence intervals, probability distributions, variance analysis, and regression modeling.Exploratory & Quantitative Methods: Proficient in multivariate data analysis, time-series trend evaluation, correlation matrix analysis, and data variance tracking.Computational Statistics: Experienced in implementing statistical algorithms and simulations in R and Python to model uncertainty, risk metrics, and numerical data patterns.Data Analysis & Business IntelligenceData Wrangling & Pipeline Preprocessing: End-to-end extraction, cleaning, outlier detection, and data structuring using Python (pandas, NumPy) and Advanced Excel (Power Query, Dynamic Arrays, Lookup functions).Natural Language Processing (NLP) & Modeling: Hands-on experience developing sentiment classification pipelines using tokenization, TF-IDF vectorization, and supervised machine learning (scikit-learn).Visualization & Reporting: Designing interactive KPI dashboards in Power BI and structured charts using Matplotlib and MATLAB to translate raw data into clear business insights.LaTeX & Technical TypesettingMathematical & Scientific Typesetting: Advanced proficiency in compiling publication-ready research manuscripts, technical reports, and complex formula-heavy documentation.Layout & Template Design: Expert in document architecture using packages such as geometry, titlesec, enumitem, xcolor, amsmath, hyperref, and tikz to build clean, ATS-compliant, single-page resumes and academic articles.Version Control & Quality Standards: Precision in cross-referencing, equation numbering, citation management (BibTeX), and table formatting to meet strict academic and industry standards.