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Project Ideas for Master of Science in Mathematics

Advanced theory and applications across pure and applied domains.

🏛 Introduction

UC’s MS in Mathematics offers rigorous training in algebra, analysis, geometry, and applied mathematics, preparing students for research, finance, and tech roles.

💡 Suggested Project Titles

Homological study of persistent topology in complex networks

Spectral analysis of Schrödinger operators with quasi-periodic potentials

Finite-difference schemes proving stability of nonlinear wave equations

Elliptic curve cryptography implementation benchmarking on IoT devices

Combinatorial proof of q-analog identities via bijective methods

Stochastic calculus model pricing weather derivatives under climate trends

Optimal transport approach to generative adversarial network training

Dynamics of coupled map lattices exhibiting chimera states

Algebraic statistics of contingency tables with network constraints

Numerical solution of Monge-Ampère equations for reflector design

Category-theoretic framework linking type theory and quantum protocols

Markov chain mixing time bounds for random walks on hypergraphs

Variational principle derivation of mean-field games in economics

Public lecture series on the Riemann Hypothesis and data security

Machine-assisted proof exploration using interactive theorem provers

Topological data analysis of climate model ensemble outputs

Workshop mentoring high-school girls in advanced problem-solving

White paper on ethics of automated proof verification systems

Interactive visualization tool for modular forms and L-functions

Conference on interdisciplinary applications of discrete geometry

University of California – MS in Mathematics

Delve deep into mathematical frontiers with UC’s theory-rich MS.

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