Aadesh Tikhe
Independent researcher in number theory & computation · Founder & MD, ATAEON Cognition · MCA student, SPIT Mumbai · Chhatrapati Sambhajinagar, India
I'm obsessively curious. I can't see a mathematical pattern without wanting to pull it apart and see if it connects to something else. My work mixes rigorous research (published on the OEIS, archived on Zenodo, presented at the Indian Mathematical Society) with experimental code where I simply try things.
Across four independent lines of research I keep using one method: take a classical discrete structure (Pascal's triangle, the perfect squares, the primes, a regular polygon), apply a difference or a floor/ceiling operation, and look for the hidden structure underneath.
Goal. Advance interpretability in deep learning by bringing ideas from number theory and algorithmic analysis to neural-network behaviour, and build human-centred systems that make complexity easier to understand.
Building. I founded ATAEON Cognition Private Limited, a DPIIT-recognised startup, and run it as Managing Director. Our first product, LabourVala, is an ethical hiring platform for daily-wage workers and is now launching.
Practice. Vipassana meditator: three ten-day silent residential courses completed, one served. It shapes how I approach long, deep-focus research.
Research interests
News
- Started my MCA at Sardar Patel Institute of Technology (SPIT), Mumbai, after a 97.88 percentile in MAH-MCA-CET.
- Launching LabourVala, the first product of my company ATAEON Cognition Pvt. Ltd.
- ATAEON Cognition was recognised as a startup by DPIIT, Government of India (Startup India).
- Preprint: A Recursive Prime Decomposition Conjecture (C2), verified for 1,008,309,544 primes with zero counterexamples.
- Finished AIDEAS-OEIS, my BCA capstone (scored 90/100): LLM + symbolic verification of 2,041 OEIS entries.
- Two NPTEL Elite certificates: Discrete Mathematics (IIT Madras, 91%) and Theory of Computation (IIT Hyderabad).
- Completed the Machine Learning Specialization (Stanford Online & DeepLearning.AI).
- New essay: Escaping the Killer by Always Getting Closer, with an interactive spiral.
- Preprint: Fibonacci Numbers from Pascal Rows.
- Simon Plouffe reviewed DSRS (“not trivial”) and forwarded it to Jean-Paul Allouche (CNRS).
- Talk at the Indian Mathematical Society Conference, MIT-WPU Pune: Probability in Regular 2-Polytopes.
Selected work
- LabourVala: verified workers, verified contractors, contact shared only once both agree.
- C2: every prime unfolds into a binary tree of primes, discussed at length with Paul Lockhart.
- Layered Pascal Transform Triangles: unifies five OEIS sequences under one generator.
- DSRS: floor and ceiling on perfect squares give π/2 or 1, decided by μ mod 4.
- AIDEAS-OEIS: a three-verifier pipeline for checking OEIS formulas.
- Dimensional Primality: primes as the integers that can't fill a 2-D box, generalised to every dimension.