Curriculum Vitae

You can download my CV by clicking here.

Education

• Ph.D in Mathematics, Indiana University - Bloomington, May 2025 (expected)
  • Advisor: Prof. Louis (Wai-Tong) Fan
• M.S. in Mathematics, Indiana University - Bloomington, 2021
• B.S. in Mathematics, Magna Cum Laude, The University of Arizona, 2018
  • Minor in Finance

Research Interests

Probability theory and its applications, stochastic analysis, stochastic partial differential equations, interacting particle systems, stochastic quantization, mathematical biology.

Honors and Awards

• William P Ziemer Award, Indiana University Bloomington, 2024.
• College of Arts and Sciences Fellowship, Indiana University Bloomington, 2020.
• Excellence in Undergraduate Research Award, Department of Mathematics, University of Arizona, 2018.

Publications and Work in Progress

1. [Coming soon] On stochastic partial differential equations on metric measure spaces. Louis Fan, Zhenyao Sun, and Johnny Yang. 2025.
2. [In preparation] Singular spdes on metric measure spaces: the sub-gaussian case. Hongyi Chen and Johnny Yang. 2025+
3. [In preparation] On extinction of solutions to stochastic partial differential equations on metric graphs. Louis Fan, Adri´an Gonz´alez Casanova, and Johnny Yang. 2024+
4. Qiantong Liang, Johnny Yang, Wai-Tong Louis Fan, and Wing-Cheong Lo. Patch formation driven by stochastic effects of interaction between viruses and defective interfering particles. PLOS Computational Biology, 19(10), 2023
5. Wai-Tong Louis Fan, Yifan Johnny Yang, and Chaojie Yuan. Constrained langevin approximation for the togashikaneko model of autocatalytic reactions. Mathematical Biosciences and Engineering, 20(3):4322–4352, 2023

Other Research Activities

• Collaboration with John Yin (University of Wisconsin - Madison) under National Science Foundation (NSF) funding DMS-2348164, Fall 2024 - present
  • We aim to develop a spatial stochastic model for virus growth with mutations on two-dimensional domains.
• Extinctions in multi-species stochastic systems, Indiana University, Fall 2023 - present Collaboration with Louis Fan and John Yin
  • We aim to study the extinction phenomenon in multi-species biological systems caused by stochastic effects.

• Summer school Stochastic Quantization, Simons Laufer Mathematical Sciences Institute, Summer 2024.

• Undergraduate Research Project, University of Arizona, Spring 2019 Under the guidance of Prof. Tom Kennedy
  • Studied the behavior of site-avoiding random walks on the Manhattan lattice. Simulated trajectories of various self-avoiding random walks on two-dimensional lattices.

Presentations

Talks

• SPDEs on metric measure spaces, SPDEs Workshop at OSU, June 2025.

• SPDEs on spatial dimensions $d \in [1,2+\epsilon)$, Analysis Seminar, University of Illinois Chicago, March 2025.

• SPDEs on spatial dimensions d ∈ [1, 2 + ε), Probability Seminar, Arizona State University, February 2025.

• Spatial stochastic modeling for population dynamics, Population Genetics Seminar, University of Chicago, February 2025.

• Patch formation driven by stochastic effects, SIAM Conference on Mathematics of Data Science (MDS24), October 2024.

• Stability of Markov Process and Foster-Lyapunov Type Criteria Demonstration via Togashi-Kaneko Model, Graduate Probability Seminar, Indiana University Bloomington, September 2023.

• On Extinction Probability of Stochastic PDE on Metric Graphs, Graduate Student Probability Conference, University of Wisconsin–Madison, September 2022.

Poster Presentations

• SPDEs on metric measure spaces, Seminar on Stochastic Processes, Indiana University Bloomington, March 2025.

• SPDE on metric measure spaces, Recent Progress in Stochastic Analysis and its Applications, Loyola University Chicago, July 2024.

• On Extinction Probability of Stochastic PDE on Metric Graphs, Seminar on Stochastic Processes, University of Arizona, April 2023.

• On Extinction Probability of Stochastic FKPP on Metric Graphs, Seminar on Stochastic Processes, Lehigh University, April 2022.

Professional Activities

• Organizer, Graduate Probability Seminar at Indiana University Bloomington, Fall 2023 - Spring 2024

Teaching Experience

Mentoring, Indiana University, Bloomington

• Co-mentored an undergraduate woman for ”Emerging Scholars Research Experience for Undergraduate Women,” a year-long program at IU (August 2022 - May 2023).
• Co-mentored an undergraduate student for the Summer REU at Indiana University Bloomington (Summer 2023).

Recitation/Assisting, Indiana University, Bloomington

• Math-M 106: The Mathematics of Decisions and Beauty (Fall 2023)
• MATH–M 211: Calculus I (Spring 2022)
• Math-M 106: The Mathematics of Decisions and Beauty (Fall 2021)
• Math-M 106: The Mathematics of Decisions and Beauty (Summer 2021)
• Math-M 211: Calculus I (Spring 2021)
• Math-M 119: Brief Survey of Calculus 1 (Fall 2020)
• Math-M 118: Finite Mathematics with Applications (Summer 2020)
• Math-M 118: Finite Mathematics with Applications (Spring 2020)
• Math-M 303: Linear Algebra (Fall 2019)