Mathematics
The power of numbers.
Mathematics is a way of defining and solving problems by combining logic with insight, and by finding patterns and structure. It’s an art that ties together the abstract structure of reason and the framework of quantitative and qualitative models in the natural and social sciences. At Hopkins, you’ll have access to travel grants, a network of support, and opportunities to publish your work in the oldest mathematics journal in continuous publication in the Western Hemisphere.
CLASSES YOU MIGHT TAKE
Mathematical Foundations of AI Bias
You’ll be able to understand various sources of algorithmic bias; understand what types of bias can or cannot be addressed in a given data set; reason over when different algorithms can be applied to a data set and how they can be interpreted; and take the outcomes of a given algorithm and reason about the bias of the output.
The Mathematics of Politics, Democracy, and Social Choice
This course provides a mathematical introduction to social choice theory, weighted voting systems, apportionment methods, and gerrymandering. In the search for ideal ways to make certain kinds of political decisions, a lot of wasted effort could be averted if mathematics could determine that finding such an ideal were actually possible in the first place. We’ll analyze data from recent U.S. elections and provide historical context to modern discussions in politics, culminating in a mathematical analysis of the U.S. Electoral College.
Introduction to Mathematical Cryptography
An introduction to modern cryptography, this class emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. You’ll develop the mathematical tools needed for the construction and security analysis of diverse cryptosystems.
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