General
| name | Ilan Shlain |
| institution | UIC |
| interests | MATHEMATICS, ACTUARIAL SCIENCE, PROGRAMMING, and POKEMON :) |
| contact | ilanshlain [AT SYMBOL] gmail[DOT]com |
This website is meant to be a personal archive of some projects that I have worked on. I would like to start a blog section (notes) where I can provide my own takes on certain topics such as math, programming, and TV shows. Most of the projects here will be pdfs, but I will focus on implementing QUARTO files and other interactive projects in the future.
Documents
01
A Brief Introduction to the Fisher-Neyman Factorization Theorem
STAT 411 (STATISTICAL THEORY) @ UIC · 2026
02
Summary of the Q-Binomial Proof for the Jacobi Triple Product Identity
This LaTeX recap was one of my favorite contributions to the MURL project on the JTPI because I had to spend an incredible amount of time learning the nature of the proof to show it at its most basic steps!
MATHEMATICS UNDERGRADUATE RESEARCH LAB @ UIC · 2025
03
Predictive Customer Targeting Memo
Marketing response prediction using generalized linear models and lift analysis
IDS 462 @ UIC · 2025
04
ANOVA for Cereal Ratings
An elementary implementation of a multiple linear regression and ANOVA to predict and analyze factors contributing to cereal ratings
STAT 481 (APPLIED STATISTICAL METHODS) @ UIC · 2025
05
Problems and Solutions in Analysis
This is a document consisting of solutions for problems given in Ross's 2nd edition of "Elementary Analysis". This was completed as a final assignment for my analysis class which I enjoyed quite a lot.
MATH 313 @ UIC · 2026
06
Mathematics In Predictions Markets
A draft of a paper submitted for my Writing in Mathematics course at UIC, which also included a full presentation. Working on this project taught me a lot about condensing complex concepts and developing explanations that are both mathematically honest and genuinely engaging. The paper explores how prediction market prices can be interpreted as probabilities, touching on market mechanics, the math behind trader incentives, and limitations like the favorite–longshot bias.
MATH 300 @ UIC · 2026