Research
My Advisor is Dr. Wee Liang Gan. My research interests revolve around understanding Symplectic and Poisson Geometry via use of Lie Algebroids.
Papers/Preprints:
The Hard Lefschetz Theorem on Kähler Lie Algebroids - arXiv - Submitted for Publication
Symplectic Hodge Theory on Lie Algebroids - arXiv - Submitted for Publication
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:
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:
Distingushed Teaching Award - UCR - Spring 2025
Vernon A. Kramer Memorial Service Award - UCR - Spring 2025
Mary E. Swor Endowed Graduate Fellowship - UCR - Spring and Fall 2025
Junior Jones Fellowship - UCR - Fall 2023
Robert R. Coombs Memorial Scholarship - SRJC - Spring 2019
Conferences Attended:
Gone Fishing - March 2025 - Washington University in St. Louis
SCGAS - February 2025 - UC Irvine
Symplectothon - November 2024 - Big Bear Lake
Reading Courses/Learning Seminars:
Lie Bialgebroids and Holomorphic Poisson Cohomology - Fall 2022 - Dr. Yat Sun Poon
Symplectic Reduction and Geometric Invariant Theory - Fall 2023 - Dr. Brian Collier and Dr. Patricio Gallardo
Fukaya Categories and Mirror Symmetry - Spring 2023 - Dr. Catherine Cannizzo
Representation Stability - Spring 2023 - Dr. Wee Liang Gan