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About Me

Hailey Jay Garcia
(she/her/hers/Ms.)
Graduate Teaching Assistant at LSU
✉️ Email: jgarc86@lsu.edu
📌 Office: 363 Lockett Hall

Hello! My name is Hailey, I am a PhD student at LSU studying mathematics. Welcome to my website! My research interests include algebraic and geometric combinatorics, particularly stuff involving matroids.

I like getting involved in my community! I am the president of LSU's Association for Women in Mathematics Chapter and an active contributor and participant in the informal logic and the DTC/informal combinatorics seminars.

Enjoy your stay!
Hailey Garcia
Me in December '24!

Teaching

Louisiana State University

MATH 1431 Sections 7, 11, 19
Spring 26 - Buisness Calculus Lab Leader
Office Hours: TBA!
MATH 1431 Sections 7, 8, 9, 11, 25, 28
Fall 25 - Buisness Calculus Lab Leader
Office Hours: 15:00-15:20 T, 15:00-17:00 Th

Arden Cahill Academy: High School

Honors Calculus 1
2023-2024

Papers and Talks

Papers

Non-Orientable 4-Genus of Torus Knots
Joint with Megan Fairchild, Jake Murphy, Hannah Percle. arXiv:2045.04737. To appear in JKTR.

Talks

A Generalization of the Topological Radon Theorem, Part 2
LSU DTC Seminar, adapted from Matousek's Using the Borsuk-Ulam theorem, Fall 2025
A Generalization of the Topological Radon Theorem, Part 1
LSU DTC Seminar, adapted from Matousek's Using the Borsuk-Ulam theorem, Fall 2025
"This is a Trace."
LSU Directed Reading in Representation Theory, Spring 2024
On The Representation Theorey of the Symmetric Group
LSU Directed Reading in Representation Theory, Fall 2023
Noncontractive Function Systems
At 6th TX-LA Mathematics Undergraduate Conference, Spring 2023
On The "Kelly Sequence."
At 6th TX-LA Mathematics Undergraduate Conference, Spring 2023