Arithmetic and Analysis on Local Fields
IISER Pune | Mentor: Dr. Chandrasheel Bhagwat
Studied the construction of p-adic numbers, local fields, non-Archimedean valuations, completeness, ring of integers, ideals, and field extensions.
Galois Like Correspondence in Algebraic Topology
Tsinghua University | Mentor: Dr. Will Donovan
Undertook a project in algebraic topology, particularly studied analogies between covering spaces and Galois Theory.
Visibility of Lattice Points Through Polynomial Paths
IIIT Delhi | Mentor: Dr. Ashish Kumar Pandey
Investigating how lattice point visibility changes along polynomial curves, using tools from number theory and discrete geometry.
Multivariate Regression Models
IIIT Delhi | Mentor: Dr. Monika Arora
Worked on multivariate regression models, with exposure to Poisson Regression, Bivariate Poisson Distribution, GLMs, MLE, and Hypothesis Testing.
Representation Theory of Finite Groups
IISER Bhopal | Mentor: Dr. Ajit Bhand
Explored Maschke’s Theorem, character theory, orthogonality relations, Burnside's p-q theorem, permutation representations, and induced representations.