## What makes Mathematics unique at UCR?

## In general, what are Mathematics professors investigating?

- How can we approximate solutions to equations we cannot solve?
- What tools can we develop for distinguishing mathematical objects?
- What patterns can we find by repeating a function?
- Are there infinitely many twin primes?

**Why Mathematics at UCR?**

#### There are lots of opportunities for undergraduate research and independent reading with mathematics faculty and graduate students. We also have a vibrant community of student clubs.

**Mathematics research at UCR**

- Algebra: Commutative algebra, Representation Theory, Combinatorics, and Algebraic Geometry
- Analysis: Harmonic Analysis, Functional Analysis, Partial Differential Equations, Operator Algebras, Several Complex Variables, Fluid Mechanics, Probability Theory, Mathematical Physics, Fractal Geometry and Dynamical Systems, and Approximation Theory
- Geometry and Topology: Algebraic Topology, Low Dimensional Topology, Geometric Group Theory, Differential Geometry, Riemannian Geometry, Complex Differential Geometry, and Geometric Analysis
- PDE and applied: Mathematical Biology, Multi-scale Mathematical Modeling, Computational Mathematics, Scientific computing, Modeling of fluids, Partial Differential Equations, Optimization, Machine Learning, Inverse Problems, Image Processing, and computational methods for nonlinear partial differential equations

**What industries can I get into with a Mathematics degree?**

- Education
- Finance and Economics (investment banking, economic analysis)
- Data Science and Analytics
- Technology and Software Development
- Graduate study in Mathematics or Statistics
- Engineering
- Operations Research and Management Science
- Cryptography and Cybersecurity
- Biostatistics and Epidemiology
- Actuarial Science
- Research and Development
- Public Policy and Government
- Consulting