PhD Student · UC Riverside

Ruoxi Zhao

Applied Mathematics & Agentic AI researcher. Developing AI and mathematical methods for high-impact problems across science, healthcare, and finance.

Pronunciation: Rowshee Zhao

AIAgentic WorkflowsLLM BenchmarkingScientific MLIn-Context LearningSDEsDynamical SystemsInverse Problems
With Scotty · UC Riverside
Presenting my research

4th

Year PhD Student

11

Research Projects

8+

Talks & Posters

Who I am

About

I'm a Ph.D. student in Applied Mathematics at UC Riverside, working at the intersection of machine learning, LLM agents, and applied mathematics, with an emphasis on reliable AI systems, rigorous evaluation, and mathematical frameworks for complex AI-driven systems.

I design benchmarking frameworks and adversarial evaluation environments for LLM agents, from automated benchmark generation to isolated execution pipelines and cross-model evaluation. My work on Backtrader-Bench, a benchmark for LLM agents on algorithmic trading, was accepted to the FinLLM Workshop at IJCAI 2026.

I also study multi-agent AI competition through dynamical systems and evolutionary game theory, and work on scientific machine learning with neural operators (In-Context Operator Networks) and Gaussian process methods for PDEs and biomedical systems. I'm drawn to problems that demand both mathematical depth and end-to-end engineering.

I've conducted research at UC Riverside, Lawrence Berkeley National Laboratory, Argonne National Laboratory, and Voaige, spanning AI agents, AI for science, computer vision, and finance, and I teach mathematics at UCR.

Beyond building and evaluating AI systems, I'm increasingly interested in how they reshape labor markets, economic incentives, and society as they grow more capable, and I'm expanding toward reinforcement learning, agent training, and scalable evaluation.

When I'm not doing research, you'll find me crocheting, hiking, or on the slopes snowboarding.

Background

Education

University of California, Riverside

Riverside, CA

Department profile
University of California, Riverside logoSep 2023 to Present
  • · Ph.D. in Mathematics (In Progress)
  • · Master of Science in Applied Mathematics · awarded June 2025

University of California, Merced

Merced, CA

University of California, Merced logoAug 2019 to May 2023
  • · B.S. in Applied Mathematical Sciences, Computational & Data Science · GPA 3.80/4.0
  • · Minor in Management Business and Economics (MBE)

Scholarship

Publications & Presentations

Publications

Presentations

Recognition

Honors & Awards

2023

Chancellor's Honor List

University of California, Merced

2020 to 2023

Frances M. Benton Scholarship

University of California, Merced

2020 to 2023

Edward & Marion Doherty Fund for Yosemite Internship Program

University of California, Merced

2020 to 2022

School of Natural Sciences Dean's Honor List

University of California, Merced

2019 to 2023

Shriram Scholarship · Stockton Scholars

University of California, Merced

2019 to 2023

Portfolio

Research Experience

Jun 2026 to Present

Research Intern

Voaige · San Francisco, CA (Hybrid)

Active
  • ·Modeling the competitive dynamics of LLMs under a unified evaluation harness as a dynamical system, inspired by the neuroscience and cognitive science of mammalian competition behavior.
  • ·Developing stochastic evolutionary game-theoretic frameworks using replicator-diffusion equations to characterize and predict market-level AI competition dynamics.
  • ·Building mathematical models from scratch to simulate how model populations evolve under selection pressure.
Dynamical SystemsGame TheoryLLMs

Apr 2025 to Present

Graduate Research Assistant · Agentic AI

University of California, Riverside · with Dr. Maziar Raissi · Riverside, CA

Active
  • ·Designed a package-specific MCQ benchmark (targeting Backtrader) to evaluate CLI coding agents such as Claude Code and GitHub Copilot.
  • ·Built an isolated-sandbox pipeline that runs each MCQ independently to enforce i.i.d. evaluation, logs generated code, and scores accuracy.
  • ·Designed an adversarial arena framework where a generator agent authors questions and a solver agent attempts them, enabling human-out-of-the-loop benchmarking.
Agentic AIBenchmarkingLLMs

Poster

Jan 2026 to Present

Graduate Researcher · In-Context Operator Networks

University of California, Riverside · with Dr. Siting Liu · Riverside, CA

Active
  • ·Adapting and fine-tuning In-Context Operator Networks (ICON), a transformer-based scientific ML framework that solves 19+ ODE/PDE types zero-shot from in-context demonstrations, applying neural operator learning to Alzheimer's Disease neuroimaging and biomarker data from ADNI.
  • ·Engineered end-to-end training pipelines on HPC clusters using JAX/CUDA, generating synthetic ODE datasets as TFRecords and training multi-shot ICON models evaluated at 1, 3, and 5 in-context demonstrations.
  • ·Studying the mathematical foundations of transformer attention mechanisms and kernel methods.
In-Context LearningTransformersScientific ML

Apr 2026 to Present

Graduate Researcher · Water-Treatment Modeling

UC Riverside · collaboration with Western University (Dr. Domenico Santoro) · Riverside, CA

Active
  • ·Built a Gaussian-process / ODE hybrid model for water-treatment disinfection, producing calibrated posterior contact-time (CT) estimates while preserving EPA-compliant CT semantics.
  • ·Derived an exact closed-form (Tricomi U) solution for microbial survival under Gamma-distributed contact time and kill rate, reducing the model to three interpretable parameters.
  • ·Proved via Jensen's inequality that deterministic CT calculations are systematically optimistic, linking both tools into a workflow that converts plant sensor data into survival probabilities.
Gaussian ProcessesInverse ProblemsOptimization

Jun 2024 to Sep 2024

Research Assistant

Lawrence Berkeley National Laboratory, Mathematics Dept. · Berkeley, CA

Complete
  • ·Analyzed and preprocessed heterogeneous X-Ray Diffraction (XRD) datasets to enable quantitative materials optimization.
  • ·Developed objective functions and evaluated synthesis outcomes using statistical metrics.
  • ·Automated data processing workflows using Python and Pandas.
Materials ScienceOptimization

Poster

Jun 2023 to Sep 2023

Research Assistant

Argonne National Laboratory · with Dr. Neil Getty · Lemont, IL

Published
  • ·Surgical tool localization and detection in robotic surgery based on endoscopic video frames.
  • ·Utilized Segment Anything Model (SAM) with text and box prompts; trained YOLOv8.
  • ·Team ANL-Surg finished 3rd place in 2023 MICCAI SurgToolLoc challenge.
  • ·Presented research poster at Argonne Lab's Learning on the Lawn event.
Computer VisionRobotics

Poster

Sep 2022 to May 2023

Research Assistant · Dental Cavity Detection

Learning Aligned Employment Program, UC Merced · Merced, CA

Complete
  • ·Predicted dental cavities using color photos and Convolutional Neural Networks.
  • ·Built data frames by converting photos to matrices with Pandas and NumPy.
  • ·Applied Gaussian blur to experiment with its effect on prediction accuracy.
Computer VisionHealthcare

Poster

Sep 2022 to May 2023

Research Assistant · Transcription Factor Binding Kinetics

CREST Fellowship, UC Merced · Merced, CA

Complete
  • ·Quantified how transcription factor binding kinetics depend on sequence.
  • ·Applied statistical methods and K-mer analysis across multiple datasets.
BioinformaticsStatistics

Slides

Jun 2022 to Aug 2022

Research Internship

Lawrence Berkeley National Laboratory, Joint Genome Institute · Berkeley, CA

Complete
  • ·Integrated single-cell and spatial datasets using Tangram and PyTorch.
  • ·Predicted cell type locations in spatial voxels; cell segmentation via Cellpose.
  • ·Presented at Berkeley Lab's final symposium.
GenomicsML

Poster

Slides

May 2022 to Jun 2022

Data Science Challenge

Lawrence Livermore National Laboratory · Livermore, CA

Complete
  • ·Built binary classifiers using molecular descriptors and 3D CNNs to find COVID-19 antivirals.
  • ·Processed 2D/3D datasets (HDF5) with Pandas, NumPy, and PyTorch.
BioinformaticsDeep Learning

Slides

May 2021 to Jun 2021

Data Science Challenge

Lawrence Livermore National Laboratory · Livermore, CA

Complete
  • ·Worked on planetary defense: classified stars vs. galaxies and captured asteroids from Palomar Observatory data.
  • ·Applied CNNs with PyTorch; presented results to LLNL scientists and engineers.
AstrophysicsComputer Vision

Slides

Experience

Professional

Apr 2025 to Present

Treasurer

SIAM Student Chapter, UC Riverside

  • ·Manage the chapter's budget and finances, coordinating funding for student activities and conference travel.
  • ·Represented the chapter as a student representative at the 2026 SIAM Annual Meeting (AN26).
LeadershipSIAMService

Sep 2023 to Present

Teaching Assistant

Mathematics Department, UC Riverside

  • ·Assisted instruction for undergraduate courses: precalculus, calculus, discrete mathematics, differential equations, and linear algebra.
  • ·Led discussion sections and office hours; graded assignments and exams.
TeachingMathematicsMentoring

Sep 2023 to Jan 2024

Data Science Consultant

Graduate Quantitative Methods Center (GradQuant), UC Riverside

  • ·Led workshops on data science fundamentals for UCR graduate students and postdoctoral scholars.
  • ·Provided one-on-one coding and quantitative analysis support via remote consultations.
Data SciencePythonConsulting

Sep 2022 to Oct 2022

Data Analysis Intern

Businessolver & Open Avenues

  • ·Built an interactive visualization tool in Python (Pandas, Matplotlib, NumPy) to analyze user-chatbot interactions.
  • ·Compared inbound/outbound user trends and performed word frequency analysis on tweet data.
Data AnalysisVisualizationNLP

Jun 2021 to Aug 2021

Shriram Summer Fellow

Reinvent Stockton Foundation & Stockton Scholars

  • ·Created landscape analysis of Summer Bridge programs for incoming 9th graders across California.
  • ·Presented findings to the Executive Board via Google Slides.
ResearchPolicyEducation

Mar 2021 to Apr 2021

Project with Purpose

Merced County Arts Council

  • ·Conducted case study research on the development of Arts & Culture Districts in demographics similar to Merced and their civic benefits.
  • ·Provided recommendations to the MCAC on strategies for designating Downtown Merced as an Arts & Culture District.
  • ·Created a PowerPoint and video presentation to introduce the concept and process to interested stakeholders.
ResearchCommunityPolicy

Presentations

Conferences

Writing

Blog

2026

Coming Soon

Posts on math, ML, and research in progress.

Off the clock

Beyond Research

When I'm not doing research, you'll find me hiking, snowboarding, crocheting, or hanging out with my cats, Matt and Ricky.

Sequoia National Park
Snowboarding
Funnel cake
Climbing
Matt
Ricky
Crochet
Crochet
Crochet

Get in touch

Contact

Interested in working with me?

Send me a note and I'll get back to you.

© 2026 Ruoxi Zhao · Built with intentional design