Cyclotomic polynomials are widely used in the construction of lattice cryptography and homomorphic encryption schemes based on the Ring Learning With Error problem. In this short note, Kelvin Li and I attempt a self-contained introduction to the cyclotomic polynomials and the Galois groups of cyclotomic extensions.
Data Scientists, because of the versatility and range of their skills, can suffer from the paradox of choice when it comes to choosing a career. According to Barry Schwartz, a strategy for good decision-making when there is an abundance of choices will involve these steps, executed in a way that takes careful consideration of all … More What Kind of a Data Scientist Are You?
I have gone through quite a few articles over the last 12 months in my attempt to get a proper understanding of fully homomorphic encryption (FHE) schemes. The process was somewhat frustrating because most of the articles are either too basic, giving just very high-level intuitions, or too deep, assuming too much background on the … More Useful Technical Tutorials on Fully Homomorphic Encryption
Many beginning researchers find it hard to cope with the sheer amount of reading they have to do to come up to speed in a certain technical field, and the issue is often compounded by the “lacking the prerequisites to the read the prerequisites” problem due to inadequate mathematical training at the undergraduate level. Here’s … More A Note on Problem Solving for Young Researchers
Identify a problem that would benefit from using R Read An Introduction to R by Venables, Smith, and the R Core Team Work on solving the identified problem using R Get access to resources with lots of R code templates for solving different problems (e.g. Handbook of Statistical Analysis using R by Everitt and Hothorn and Data … More The Learn-R Algorithm
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My Irrational Life
Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Tao
Mental Models 4 Life 