Jacob Garcia

Jacob Garcia is a Lecturer in the Mathematical Sciences Department at Smith College, Massachusetts, focusing on geometric group theory and boundary dynamics. He works on studying groups acting on their boundaries at infinity and generalizations of the Gromov boundary. Contact: jgarcia46@smith.edu.

Education:

• Ph.D. (expected Spring 2024), University of California, Riverside (Topic: Stable subgroups and hyperbolic boundary generalizations).
• M.S., Ball State University (2018) in Mathematics (Topic: Generalized covering space theory).
• B.S., University of California, Davis (2016) in Mathematics.

Jacob’s research bridges geometric group theory with hyperbolic geometry, exploring how finitely generated groups act on metric spaces and their boundaries. His work extends to hierarchically hyperbolic spaces, convex cocompactness, and generalized covering space theory. He has presented extensively at conferences like GAGTA, Young Geometric Group Theory, and MSRI Summer Schools.

Scientific Awards:

• Dissertation Year Program Award (2023).
• Vernon A. Kramer Memorial Service Award (2022).
• Jones Junior Fellow in Pure Mathematics (2020).

Jacob has supervised undergraduate research projects, including a study on (g,f)-colorability of knots. He actively contributes to outreach, organizing events like WIMIN 2023 and serving as Vice President of the AMS Graduate Student Chapter at UCR.