| 🎓 Role | 11th Grade Student · Private Pangaltı Armenian High School |
| 📍 Location | Istanbul, Turkey 🇹🇷 |
| 🧠 Focus | Mathematical Research · Competitive Programming · Computational Tools |
| 🔬 Research | Collatz Conjecture · Geodesics · Fractal Geometry · Series & Number Theory |
| 🛠️ Tools | Wolfram Mathematica · MATLAB · Python · JavaScript |
| 🎯 Goals | Publish original research · TÜBİTAK Competition · arXiv preprint |
"Mathematics is not about numbers, equations, computations, or algorithms — it is about understanding." — William Paul Thurston
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Actively researching the Collatz Conjecture — exploring cycle structures, stopping times, and trajectory patterns through computational experiments in Wolfram Language and MATLAB. |
Implementing geodesic solvers on explicit surfaces using variational calculus, Bernstein polynomials, and Nelder-Mead optimization in Mathematica. |
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Building custom polynomial regression systems with automatic degree selection via adjusted R² and AIC criteria — without toolboxes. |
Exploring self-similar structures and convergence behaviors through interactive visualization — bridging pure math with computational tools. |
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Wolfram Language Computes & visualizes shortest paths constrained to explicit surfaces
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Python · SymPy · CustomTkinter Definite & indefinite integral calculator with a polished dark-theme GUI. Powered by SymPy for symbolic math and torchquad for numerical integration.
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MATLAB Auto-selects optimal polynomial degree using adjusted R² and AIC. Full UIFigure dark-theme app with live 3D visualization and residual analysis.
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Mathematica Compares multiple regression models on the same dataset. Automated model evaluation with statistical diagnostics.
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Wolfram Language Optimization tool for symbolic min/max problems using Wolfram Language's constraint-solving capabilities.
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Python Graph-based pathfinding system implementing intelligent route discovery across network structures.
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- ♟️ Chess — Active player · chess.com/member/arasthelover
- 🏆 Competitions — Math Olympiad · TÜBİTAK Research Competitions · Competitive Programming
- 📚 Currently Studying — Differential Geometry · Measure Theory · Analytic Number Theory
- 🎯 2026 Goal — Submit original research on the Collatz Conjecture to arXiv
"The universe is written in the language of mathematics." — Galileo Galilei