As part of the 2024 Math Apprenticeship Programme, selected students created expository articles or research-inspired posters on topics they were curious about but had not formally studied before. These projects reflect the students’ independent engagement with new ideas and were often influenced by the Apprenticeship Lectures they attended.
The work was carried out under the mentorship of:
Neelam (Utah), Saujanya Bharadwaj (Ashoka University), Tejasi Bhatnagar (Wisconsin–Madison), Avneet Kaur (Macquarie University, Sydney), Ojas Kumar (CMI), Piyush Naresh (Ashoka University and Imperial College London), Manodeep Raha (TIFR), Manjil Saikia (Ahmedabad University), Souradeep Sengupta (Ashoka University), and Sagar Shrivastava (TIFR and Ashoka University).
The articles are written for an undergraduate audience, and span a broad range of topics including number theory, probability, geometry, and applications of mathematics in biology and physics.
This compilation is a mirrored version of the original archive, which is hosted on Gaurav Bhatnagar’s website.
Here is the link to the Archives of Math Apprenticeship Programme.
Geometry and Newton, Riya Arora (Ashoka University) | Poster
Primality Testing: From Fermat’s Theorem to the AKS Algorithm, Aman K. Foujdar (Ashoka University) | Poster
Methods of Numerical Analysis, Anwesha Ghosh (Ashoka University) | Poster
The Probabilistic Method in Geometry, Soundarya Lahari Murari (Ashoka University) | Poster
A brief introduction to Martingales, Sneha Patra (Ashoka University) | Poster
Applications of Knot theory in Molecular Biology, Ravulapalli Manas Venkata Sai (Ashoka University) | Poster
Brouwer’s Fixed Point Theorem, Arjun Sheth (Ashoka University) | Poster
On the functional equation of the Riemann zeta function, Krishna Praneeth Sidde (Ashoka University) | Poster
Exploring the Horn’s Problem in 4×4 Hermitian Matrices, Gayatri Subhash (Ashoka University) | Poster on Generalized Fisher’s Inequality
The Generalized Stokes Theorem and Calculus on Manifolds, Vishnu Varadarajan (Ashoka University) | Poster