## Algebra and Number Theory

Algebra and Number Theory are the two oldest fundamental branches of mathematics that are at the very center of mathematics even today.

## Analysis

Analysis is at the very core of mathematics, studying limit processes, inequalities, integration, differentiation, measure theory, and analytic functions.

## Computational and Applied Mathematics

Applied Mathematics is concerned with formulating, analyzing and solving an application problem, whether it arises from physical science or biological science, using mathematical language, theories and techniques.

## Differential Geometry

Differential geometry is a broad field of mathematics related and with applications to several areas of mathematics (algebra, analysis, mathematical physics, partial differential equations, topology) and science (biology, chemistry, data analysis, engineering, physics).

## Mathematical Biology

The faculty and students of the Math Biology group in the Department of Mathematics are interested in a range of captivating research questions that require working closely at the interface of mathematics and biology.

## Partial Differential Equations

In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function.

## Probability and Stochastic Processes

The area of probability and stochastic processes is the study of randomness. This study is both a fundamental way of viewing the world and increasingly a core branch of mathematics.

## Statistics and Data Analysis

Data Science aims at gaining insights about complex real-world effects through information from existing datasets. Modern data-centric approaches combine deep foundations in Statistics and Applied Mathematics with state-of-the-art algorithms and provide a basis for Computer Science, Artificial Intelligence (AI), and Machine Learning.

## Topology

Topology is a branch of mathematics that involves properties that are preserved by continuous transformations.