Harvard’s Mathematics PhD cultivates theorists proving theorems in Langlands correspondences, stochastic PDEs, and topological quantum field theory, while mentoring Putnam teams and running outreach with Girls’ Angle. Joint seminars with MIT and the Harvard-Smithsonian Center fuse abstraction with physics and computation.
Automorphic-forms proof advancing Langlands functoriality cases
Stochastic Navier–Stokes regularity under fractional noise
K-theory computation for exotic four-manifolds
Optimal-transport inequalities connecting entropy and curvature
p-adic Hodge-theory analysis of modular Galois representations
Machine-checked proof scripts in Lean for classical theorems
Random-matrix models bridging physics and number theory
Homotopy-type-theory seminar series for undergraduates
Visualization of hyperbolic tilings via VR interfaces
Graph-limit study of large network clustering spectra
Capstone workshop on ethical AI in automated theorem proving
Outreach module teaching knot theory through craft weaving
Open-source library illustrating spectral-sequence computations
Podcast debating infinity with philosophers and mathematicians
Dissertation chapter linking symplectic geometry to quantum chaos
Pursue deep structures and elegant proofs that shape modern science.
Whether it's Machine Learning, Data Science, or Web Development, Collexa is here to support your academic journey.
"Collexa transformed my academic experience with their expert support and guidance."
Computer Science Student
Reach out to us for personalized academic assistance and take the next step towards success.
