Pure Mathematics
Group Theory, Rings and Fields, Analysis, Linear Algebra, Vector Calculus, Complex Analysis, Manifolds, Topology, and Functional Analysis, with electives in Differential Geometry, Probability Theory, and Measure Theory. The track prioritises depth and problem-solving over breadth.
Specialization with Research Projects
Machine Learning and Computational Mathematics in Year 1. From Year 2: Machine Learning, Computer Vision, Computational Mathematics, Statistics, Geometric Group Theory, LEAN 4 (Formalization and Auto Formalization), and Neural Networks and Gravitational Physics. Two undergraduate publications are targeted.
Contest Mentoring
Three hours per week for TIFR, ISI M.Math, IIT-JAM, Subject GRE, General GRE, and college-level olympiads including Madhava, IMC, and the Simon Marais Mathematics Competition (SMMC).
Teaching Assistantship & Research Internship
Six hours per week of Teaching Assistantship at Cheenta Academy and six hours per week of Research Internship with collaborating businesses, research groups, or non-profits, from Semester 2 onwards. All engagements are stipended.
Graduate School Mentoring
Mentoring for the GRE Subject Test, graduate school applications, statement of purpose, recommendations, and conference participation, intensifying in Year 4.