| Title | Date | Views | Brief Description |
|---|
| A Brief Survey Of Manifolds And Vector Bundles |
2019 |
816 |
This is a survey of various key components and machinery used in modern differential geometry. We begin with an introduction to multilinear algebra up to basic notions of tensors and exterior algebras. A survey of basic topology and manifold theory i... |
| Solving Differential Equations Using Symmetry Methods |
2023 |
152 |
In the late nineteenth century, Sophius Lie developed a technique to solve differential equations using symmetries of solutions. Briefly, a symmetry of a differential equation is a transformation that sends solutions to solutions. In this paper, we e... |
| Realizable Dicyclic Groups |
2020 |
525 |
It is well-known that the units of a ring forms a group called the group of units. A group that is the group of units for some ring is said to be realizable. Fuchs’ problem asks whether a given group is realizable by some ring. In this paper, we pres... |