Ph.D. student in Mathematics

University of Southern California

I am a Ph.D. student at USC, advised by Xiaohui Chen. I study statistical optimal transport. Before USC, I received my B.S. in the School of Mathematics from Shandong University in 2023.

Pengtao Li · 李澎涛

EDUCATION BACKGROUND

2023–present

Ph.D. in Mathematics

University of Southern California

Advisor: Xiaohui Chen

2019–2023

B.S. in Mathematics

Shandong University

Advisor: Hanchao Wang

PUBLICATIONS & PREPRINTS

See the full list of publications in my Google Scholar.

2026
Preprint

Central limit theorems and bootstrap for sparse regularized multimarginal optimal transport and barycenters

Pengtao Li, Alberto González-Sanz, Xiaohui Chen

2026
Preprint

Smoothed estimation of Wasserstein barycenters

Pengtao Li, Changbo Zhu, Xiaohui Chen

2026
Preprint

Hierarchy of discriminative power and complexity in learning quantum ensembles

Jian Yao, Pengtao Li, Xiaohui Chen, Quntao Zhuang

2025
Preprint

Sample complexity and weak limits of nonsmooth multimarginal Schrödinger system with application to optimal transport barycenter

Pengtao Li, Xiaohui Chen

TEACHING & MENTORING

Teaching Assistant

University of Southern California, Department of Mathematics

  • MATH 407: Probability Theory

    Fall 2026
  • MATH 541a: Introduction to Mathematical Statistics

    Summer 2026
  • MATH 425b: Fundamental Concepts of Analysis

    Spring 2026
  • MATH 454: Game Theory

    Spring 2026
  • MATH 307: Statistical Inference and Data Analysis I

    Fall 2025
  • MATH 507a: Theory of Probability

    Fall 2025
  • MATH 129: Calculus II for Engineers and Scientists

    Fall 2024
  • MATH 125: Calculus I

    Summer 2024
  • MATH 126: Calculus II

    Spring 2024
  • MATH 129: Calculus II for Engineers and Scientists

    Fall 2023

Undergraduate Mentoring

Mentor, Directed Reading Program (DRP)

University of Southern California, Department of Mathematics

  • Dung Pham (now Risk Analyst at Goldman Sachs)

    Spring 2025
  • Laurenz Schneeberger (now MSc student in Statistics at ETH) and Lily Wu

    Fall 2024

CONTACT

FIND ME AT

Kaprielian Hall (KAP)
Department of Mathematics
University of Southern California
Los Angeles, CA

Department directory