REU 2025: algorithmic and machine learning methods in algebraic geometry
REU 2025: algorithmic and machine learning methods in algebraic geometry
In the summer of 2025 I directed a Research Experience for Undergraduates. Our topic was algorithmic methods in algebraic geometry, and applications of machine learning in pure mathematics.
Here is the reading list we followed:
Chapters 1 through 5 from Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
three classic papers arXiv:1406.1078, arXiv:1409.0473 and arXiv:1706.03762 about recursive neural networks, and transformers
and a paper about Gröbner basis and transformers
Here are some of my lecture notes:
gradient descent more details are in these notes
neural networks and RNNs