Β (last week of classes)
Yoyo Jiang (Anish Chedalavada, Math)
Johnny Kung (Jon Lin, Math)
Gavin Huang (Toan Pham, Math)
Thanh Tran (Yashi Jain, Math)
Daniel Wang (Ben Brindle, AMS)
Sri Nippani (Parik Chalise, AMS)
Arsema Gossaye (Kailee Lin, AMS)
Jonathan Zhang (Ben Brindle, AMS)
Andrew Gilbert (Matthew Hudes, AMS)
Yash Permalla (Hadden Kim, AMS)
Adham Labwan (George Kevrekidis, AMS)
Miles Zhou (Drew Henrichsen, AMS)
Jess Kuo (Kailee Lin, AMS)
Shayaan Emran (Daniel Lopez, AMS)
Adina Jailova (Josiah Lim, AMS)
Olga Kuzmich (Josiah Lim, AMS)
Full project proposal with detailed description can be found here.
Art, Graphics, and Symmetry
Mentor: Jonathan Lin
Mentee: Johnny Kung
Prerequisites: No strict requirement. Variety of backgrounds are welcome. Programming background will be helpful.
Equivariant K-theory and Weyl Character Formula
Mentor: Toan Pham
Mentee: Gavin Huang
Prerequisites: Linear algebra or algebra.
Algebraic Curves
Mentor: Anish Chedalavada
Mentee: Yoyo Jiang
(Mentee self-proposed topic)
(No specific topic, will be paired with student of similar interest)
Mentor: Yashi Jain
Mentee: Thanh Tran
Interests: Number theory, Langlands program, p-adic Hodge theory, algebraic geometry.
(No specific topic, will be paired with student of similar interest)
Mentor: Drew Henrichsen
Mentee: Miles Zhou
Interests: Machine Learning, Bayesian Statistics, Rendezvous Search
The Kalman Filter
Mentor: Benjamin Brindle
Mentee: Daniel Wang, Jonathan Zhang
Prerequisites: Required: basic calculus, probability, statistics. Recommended: programming.
Galerkin Methods for Solving DEs
Mentor: Hadden Kim
Mentee: Yash Permalla
Prerequisites: Required: basic ODE, numerical analysis, programming. Recommended: undergraduate real analysis, PDE.
The Polynomial Method in Combinatorics
Mentor: Parik Chalise
Mentee: Srisha Nippani
Prerequisites: Discrete Math (Introductory), Linear algebra (Introductory), Play (Advanced)
The Probabilistic Method in Combinatorics
Mentor: Kailee Lin
Mentee: Jess Kuo
Prerequisites: Discrete Math and Probability (both Introductory)
Functional Graph Theory
Mentor: Kailee Lin
Mentee: Arsema Gossaye
(Mentee self-proposed topic)
The Power of Path Integrals
Mentor: Matthew Hudes
Mentee: Andrew Gilbert
Prerequisites: Required: undergraduate real analysis, basic probability. Recommended: probability/measure theory.
Geometry of the Space of Probability Measures
Mentor: Daniel Lopez
Mentee: Shayaan Emran
Prerequisites: Required: real analysis. Recommended: differential geometry and PDE.
Sampling
Mentor: Matheau Santana-Gijzen
Mentee: Raymond Gong
Prerequisites: Probability, statistics, and proficiency in some coding language (python preferably).
Learning to Manim
Mentor: George Kevrekidis
Mentee: Adham Labwam
Prerequisites: Intermediate python.
MatplotLin
Mentor: Josiah Lim
Mentee: Olga Kuzmich, Adina Jailova
Prerequisites: Linear algebra, programming.
Organizers: Josiah Lim (AMS) , Akira Tominaga (Math), Anish Chedalavada (Math)