I am interested in number theory.

Previously, I was a pure math masters student at the University of Cambridge with a focus in number theory.

Even before, I was an undergraduate student at the University of Waterloo studying a double major in CS and Pure Math. I was fortunate to be advised by David Jao. I worked on Elliptic Curve Cryptography.

Email: janeshi [at] mit [dot] edu

Maria Corte-Real Santos, Craig Costello, and Jia Shi
"SuperSolver: accelerating the Delfs-Galbraith algorithm with fast subfield root detection"
*Crypto Conference, 2022*

Jia Shi
"Column Partition and Permutation for Run Length Encoding in Columnar Databases"
*2020 ACM SIGMOD Student Research Competition*

I interned at Microsoft Research as an Undergraduate Research Intern, where I was fortunate to be advised by Craig Costello.

Previously, I worked on database compression algorithms at SAP as a research intern.

I also worked as software engineering intern at Facebook Menlo Park office and Jane Street NYC office.

- Local Fields: [Written][Typed Summary][Review Sheet]
- Algebraic Topology: [Written][Typed Summary][Review Sheet]
- Commutative Algebra: [Written][Typed Summary][Review Sheet]
- Elliptic Curves: [Written][Review Sheet]
- Algebraic Number Theory: [Written][Review Sheet]
- Essay (Parametric Solutions to the Generalised Fermat Equation): [Essay]

- Pmath348 Fields and Galois Theory: [Notes]
- Pmath453 Functional Analysis: [Notes]
- Pmath464 Introduction to Algebraic Geometry: [Notes]
- Pmath467 Introduction to Algebraic Topology:[Notes]