Franklin Liu

Personal Archive

Franklin Liu

I am a master's student at the University of Chicago. I completed my undergraduate degree at Technical University of Berlin, majoring in Mathematics with a minor in Computer Science.

Selected Papers

A selection of course and research papers I thought would be interesting to share.

2026

Bluffing and Strategic Reticence in Prediction Markets

Course Paper

Algorithmic Game TheoryPrediction Markets

Final project for TTIC 31260: Algorithmic Game Theory, taught by Prof. Avrim Blum at Toyota Technological Institute at Chicago, examining incentive compatibility in prediction markets through the Logarithmic Market Scoring Rule (LMSR) and Dynamic Parimutuel Market mechanisms. Based on Chen, Y., Reeves, D. M., Pennock, D. M., Hanson, R. D., Fortnow, L., & Gonen, R. (2010).

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2024

Modelling Limit Order Books via Conditional Diffusion Model

Undergraduate Thesis

Diffusion ModelsStochastic ProcessesMarket Microstructure

Undergraduate thesis at TU Berlin, advised by Prof. Peter Friz and Prof. Dr. Klaus-Robert Müller. Reviews the mathematical framework for modelling order books and proposes a conditional diffusion model for generating realistic limit order book states. Evaluates the model on BTC/USDT order book data and studies its ability to reproduce known microstructure stylized facts.

2023

From Singularities to Asymptotic Bounds

Course Paper

Complex AnalysisAnalytic Combinatorics

Final project for Math 246A: Complex Analysis, taught by Prof. Terence Tao at UCLA, examining how asymptotic bounds on combinatorial sequences can be derived by treating generating functions as complex functions and analysing their singularities.

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Seminars

Presentation slides from past seminar talks.

2024

Path Signatures with Financial Applications

Seminar Slides

Path SignaturesData Science

Talk in a seminar led by Prof. Peter Friz at TU Berlin, exploring applications of path signatures to financial time series. Covers the signature transform as a feature map for sequential data and its use in limit order book modelling and mid-price prediction, including a log-signature neural network approach.

2022

Finding Domino Tilings with Maximal Monotonic Paths using Wagner's Method

Seminar Slides

CombinatoricsCross-Entropy Methods

Using Wagner's deep cross-entropy method to generate counterexamples for domino tiling problems.

Selected Projects

A selection of projects I am currently working on and passionate about.

2026

Polymarket Backtester

Python, data engineering, backtesting

Trading

A data and backtesting toolkit for researching prediction-market strategies on Polymarket.

2026

Agentic Research System for Optimal Execution

Python, research automation, market simulation

Optimal ExecutionAgentic Research

An agentic research system for iterating on trading experiments and studying optimal execution, in collaboration with Event Horizon Labs.

Interests

Outside coursework and projects, I am interested in basketball and currently trying out new stuff.