Anqi Li

About Me

I've been practicing
for this pose circa 2018

Hello! I recently graduated from the Massachusetts Institute of Technology (MIT) with a B.Sc. in Mathematics (Course 18). I am broadly interested in extremal and additive combinatorics, as well as the applications of discrete Fourier analytic and probabilistic methods in theoretical computer science.

I am currently pursuing a Master of Advanced Studies (Part III of the Mathematical Tripos) in (Pure) Mathematics at the University of Cambridge supported by a Trinity Studentship in Mathematics. Thereafter, I will start my Ph.D. in Mathematics at Stanford University as a Stanford EDGE Doctoral Fellow.

Contact me: aqli '2+shift' stanford '>-shift' edu

CV
(last updated Feb 2024)

Pronouns: she/her

Education

(2023-2024) University of Cambridge

MASt. (Mathematics)

Ongoing.

(2019-2023) Massachusetts Institute of Technology
B.Sc. (Mathematics)

Papers

[7]
Sam B. Hopkins, Anqi Li. Adversarially-robust Inference on Trees via Belief Propagation. Submitted. Preprint available at arXiv:2404.00768.
[6]
Dingding Dong, Anqi Li, Yufei Zhao. Uncommon Linear Systems of Two Equations. Preprint available at arXiv:2404.17005.
[5]
Anqi Li. Dynamics of Pop-Tsack Torsing. Submitted. Preprint available at arXiv:2209.11548.
[4]
Henry Cohn, Anqi Li. Improved Kissing Numbers in Seventeen through Twenty-one Dimensions. In preparation.
[3]
Anqi Li, Lisa Sauermann. Sárközy's Theorem in Various Finite Field Settings. SIAM Journal on Discrete Mathematics (SIDMA) pdf. Preprint available at arXiv:2212.12754.
[2]
Dain Kim, Anqi Li, Jonathan Tidor. Cubic Goldreich-Levin. ACM-SIAM Symposium on Discrete Algorithms (SODA) 2023 pdf. Preprint available at arXiv:2207.13281.
[1]
Anqi Li. Progress on Local Properties Problems of Difference Sets. European Journal of Combinatorics pdf. Preprint available at arXiv:2201.00547.
Authors listed in alphabetical order.

Funding and Awards

•
Jane Street Graduate Research Fellowship: Finalist
2024
•
Stanford EDGE: Enhancing Diversity in Graduate Education Doctoral Fellowship Program
2024 -
•
Trinity Studentship in Mathematics (Trinity College, Cambridge)
2023 - 2024
•
MIT Jon A. Bucsela Prize in Mathematics
2023
•
Alice T. Schafer Prize for Excellence in Mathematics: Runner Up
2023
•
Mariana Polonsky Slocum (1955) Memorial Fund
Spring 2022
•
MIT Hartley Rogers Jr. Prize
2021
•
Fund for the Future of Science (MIT School of Science)
Summer 2020

Conferences

Talks

•
Sarkozy's Theorem in Various Settings (Stanford Combinatorics Seminar).
March 2023
•
Cubic Goldreich-Levin (ACM-SIAM Symposium on Discrete Algorithms (SODA) ).
January 2023
•
Thresholds for Perturbed Schur Sets, Joint Mathematics Meetings (JMM): AMS Contributed Paper Session.
January 2023
•
Local Properties of Difference Sets, New York Number Theory Seminar: Combinatorial and Additive Number Theory (CANT).
June 2021

Summer Schools and Workshops

•
High-dimensional phenomena in discrete analysis (American Institute of Mathematics).
May 2024
•
Convex and Discrete Geometry Summer School (Erdős Center).
Summer 2023
•
Prague Summer School in Discrete Mathematics (PSSDM).
Summer 2022
•
Cornell Probability Summer School (CPSS)
Summer 2022

Research Experience

•
I interned at Microsoft Research (New England) with Henry Cohn.
Summer 2023
•
I worked with Prof. Kuikui Liu on a project on fast mixing for the monomer-dimer model.
Spring 2023 - Spring 2024
•
I worked with Prof. Sam Hopkins on a project about robust belief propagation.
Fall 2022 - Spring 2024
•
I worked with Prof. Henry Cohn on a project about kissing numbers in higher dimensions.
Spring 2022 - Spring 2023
•
I participated in the Duluth REU at Univeristy of Minnesota, Duluth.
Summer 2022
•
I am working with with Prof. Dor Minzer on a variant of the Friedgut-Kalai-Naor theorem for Grassmann graphs.
Spring 2022 - present
•
I worked with Prof. Lisa Sauermann on a project about Sárközy's theorem in polynomial rings.
Winter 2021
•
I participated in SPUR+ program at MIT on a project about a cubic variant of the Goldreich-Levin theorem, and was awarded the Hartley Rogers Jr. Prize. Our paper "Cubic Goldreich-Levin" was accepted to Symposium on Discrete Algorithms (SODA) 2023.
Summer 2021
•
I participated in the CUNY Combinatorics REU at Baruch College. My paper "Progress on Local Properties of Difference Sets" was published by the European Journal of Combinatorics.
Summer 2020

Teaching and other activities

MIT Mathematics Department

•
MIT Combinatorics Reading Group
Fall 2020 - Spring 2023
•
Grader for 18.218 (Graduate): Ramsey Theory.
Spring 2023
•
Grader for 18.226 (Graduate): Probabilistic Methods in Combinatorics.
Fall 2022
•
Grader for 18.408 (Graduate): Probabilistically Checkable Proofs.
Fall 2022
•
Tutor at the MIT Math Learning Center
Spring 2022
•
Grader for 18.225 (Graduate): Graph Theory and Additive Combinatorics.
Fall 2021
•
Undergraduate Teaching Assistant for 18.702: Algebra II.
Spring 2021

MIT Computer Science Department

•
Grader for 18.404: Introduction to Theory of Computation.
Fall 2021

Expository Writing

[1]
Entropy compression: algorithmic Lovasz Local Lemma and graph coloring
Final paper for the MIT class 18.424 (Seminar in Information Theory).
[2]
Lattice Coverings
Notes for a talk I gave in the MIT Combinatorics Reading Group.
[3]
Convex Spherical Cubes
Notes for a talk I gave in the MIT Combinatorics Reading Group.
[4]
Elliptic curves over p-adic numbers: Nagell-Lutz Theorem
Final paper for the MIT class 18.784 (Seminar in Number Theory).