The Ashoka Math Apprenticeship Programme was started in Summer 2023 as an adjunct to the Lodha Genius Programme (LGP)), open to all interested TAs. The programme included a problem solving seminar, consisting of the problem sets (on Number Theory and Geometry) used in the LGP. In addition, many students wrote an expository article on a topic they are interested in, which they have not studied yet. The design of this programme is modelled on parts of Chicago’s Math REU. The mentors in 2023 were Gaurav Bhatnagar (Ashoka) and Sagar Shrivastava (TIFR).

In the summer of 2024, we expect to expand the program to include students from outside Ashoka. This time only the students who were chosen as interns were invited to write an article. In 2024, there will be internship positions for students who can take part in this programme and then subsequently be eligible for internship positions in LGP.

Math articles (2023)

These are student papers explaining ideas which the students themselves are learning. Please use the cited references to gain a complete understanding of the material. The intended audience is undergraduate students interested in mathematics and its applications.

• 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).