The first edition of the programme featured an informal problem-solving seminar and expository writing. It was mentored by Gaurav Bhatnagar (Ashoka) and Sagar Shrivastava (TIFR). One can see the details on Gaurav Bhatnagar's website ( the articles below are mirrored from his website ) . Here is the link to the Archives of Math Apprenticeship Programme.
Introduction to the Sigmoid function and its application to Artificial Neural Networks, Seydou Demon (UG 25, Ashoka University).
Quaternions and Lagrange’s Four Square Theorem, Monu Jangra (UG 24, Ashoka University).
The Discrete Fourier Transform and the Cooley-Tukey FFT Algorithm, Soundarya Lahari Murari (UG 24, Ashoka University).
Gödel’s Incompleteness Theorem, Piyush Naresh (ASP 24, Ashoka University)
Primality Testing: An Introduction, Aryan Nath (UG 25, Ashoka University).
Convergence of Fourier Series, Sneha Patra (UG 24, Ashoka University)
Exploring Combinatorial Game Theory: Red-Blue Hackenbush and the Construction of Real Numbers, Pritika Raj (IISER, Tirupati).
On Hall’s Theorem, Sidharth Sameer Wagle (UG 25, Ashoka University).