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In which ways will mathematics, specifically pure mathematics, be affected by technological advancements (e.g. machine learning, quantum and high-performance computing)?

How will a future mathematician's career be modified by use of AI for high-powered computation? How with the philosophical approach of pure mathematics change with greater implementation of machine learning?

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Joseph’s Answer

Managing large datasets and predicting outcomes need advanced math. In AI, this is called Statistical Inference and Dimensionality Reduction.

Finding Patterns: In big datasets, random noise can seem like a pattern. Math helps us tell the difference between random links and real causes.

Projecting Outcomes: This uses Calculus to improve models and Probability to measure how sure we are about future trends.

Joseph recommends the following next steps:

Alison.com offers a course "Math for Data Science" mathematical concepts needed to understand how AI "thinks" and processes data.
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Andrew’s Answer

Mathematics, especially “pure” mathematics, is an art. It is a creative enterprise in the exploration of possibilities, new structures and systems for its own beauty and sake. In its purest manifestation, it is unaffected by advances in technology.

On the practical side, mathematics is the language of science and technology. It is a symbolic and logical language developed, and, if necessary, modify to describe natural as well as man-made phenomena. Hence, mathematicians will adapt to scientific and technological advances with necessary development and expansion of mathematical knowledge to serve the scientific and technological communities. We may call these mathematicians applied mathematicians.
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