Research

My Advisor is Dr. Wee Liang Gan. My research interests revolve around understanding Symplectic and Poisson Geometry via interactions with Lie theory.

Papers/Preprints:

Algebroid Desingularizable Poisson Structures -Submitted - arXiv

The Hard Lefschetz Theorem on Kähler Lie Algebroids - Illinois Journal of Mathematics, Volume 70, Issue 1 - Journal - arXiv 

Symplectic Hodge Theory on Lie Algebroids - Differential Geometry and its Applications, Volume 102, Feb. 2026 - Journal - arXiv 

Talks Given:

External:

• Symplectic Hodge Theory on Lie Algebroids- May 2025 - AMS Western Sectional Special Session on Recent Developments in Contact and Symplectic Geometry

• Symplectic Hodge Theory on Lie Algebroids - March 2025 - Gone Fishing 2025

• Symplectic Hodge Theory on Lie Algebroids - February 2025 - Claremont/McKenna Topology Seminar

Internal:

• Shadows of Symplectic Geometry in some Poisson Manifolds - October 2025 - UCR Geometry/Topology Seminar

• The Hard Lefschetz Theorem on Kähler Lie Algebroids - April 2025 - UCR Geometry/Topology Seminar

• Introduction to Riemannian Hodge Theory - April 2025 - UCR Graduate Student Seminar

• Introduction to J-Holomorphic Curves - November 2024 - UCR Pre-Symplectathon Seminar

• Symplectic Hodge Theory on Lie Algebroids -  May 2024 - UCR Graduate Student Seminar

• Moment Maps in Algebraic Geometry -  May 2024 - UCR Algebraic Geometry Course

• Introduction To Symplectic Hodge Theory - April 2024  - UCR 2024 Incoming Student Welcome Day

Fellowships/Awards:

• Distinguished Teaching Award - UCR - Spring 2025

• Vernon A. Kramer Memorial Service Award - UCR - Spring 2025, 2026

• Mary E. Swor Endowed Graduate Fellowship - UCR - Spring and Fall 2025

• Outstanding Teaching Award - UCR - Spring 2024, 2025, 2026

• Junior Jones Fellowship - UCR - Fall 2023

• Robert R. Coombs Memorial Scholarship - SRJC - Spring 2019

Conferences Attended:

• Gone Fishing - April 2026 - Centre de Recherches Mathematique in Montreal

• Gone Fishing - March 2025 - Washington University in St. Louis

• SCGAS - February 2025 - UC Irvine

• Symplectothon - November 2024 - Big Bear Lake