Cecelia Higgins (she/her)

NOTE: Throughout Spring 2025, I will be at UC Berkeley.

Research Interests

I am primarily interested in descriptive set theory and its connections with combinatorics, ergodic theory, and theoretical computer science. My advisors are Dr. Andrew Marks and Dr. Anton Bernshteyn.

Preprints

• Joint with Jan Greb\ik. Complexity of Finite Borel Asymptotic Dimension. (arXiv)
• Measurable Brooks's Theorem for Directed Graphs. (arXiv)

Research Notes (not intended for publication)

• A Note on Forward-Recurrent Sets with Bounded Gaps

Teaching

• Spring 2025: Math 54, MWF 8am -- 9am and 10am -- 11am
• Fall 2024: No teaching.
• Spring 2024: Math 70, MWF 3pm -- 3:50pm (evaluations)
• Winter 2024: Math 3B, TR 9am -- 9:50am (evaluations, Section 1A, Section 1B); Math 131A, R 11am -- 11:50am (evaluations)
• Fall 2023: Math 495, R 12pm -- 12:50pm (no evaluations)
• Spring 2022: Math 61, TR 11am -- 11:50am (evaluations, Section 1C, Section 1D); Math 177, R 12pm -- 12:50pm (evaluations)
• Winter 2022: Math 31A, TR 8am -- 8:50am (evaluations, Section 1E, Section 1F); Math 131A, R 9am -- 9:50am (evaluations)
• Fall 2021: Math 33A, TR 12pm -- 12:50pm (evaluations, Section 3A, Section 3B); Math 131A, R 3pm -- 3:50pm (evaluations)
• Summer 2021: Math 31A, TR 10am -- 10:50am, 11am -- 11:50am (evaluations, Section 1A, Section 1B)
• Spring 2021: Math 61, TR 12pm -- 12:50pm (evaluations, Section 2C, Section 2D); Math 131A, R 10am -- 10:50am (evaluations)
• Winter 2021: Math 31A, TR 8am -- 8:50am (evaluations, Section 1A, Section 1B); Math 31B, TR 11am -- 11:50am (evaluations, Section 2A, Section 2B)
• Fall 2020: Math 31A, TR 8am -- 8:50am (evaluations, Section 1A, Section 1B); Math 31B, TR 1pm -- 1:50pm (evaluations, Section 2A, Section 2B)

Women in Mathematics (WIM)

Formerly, I was a co-organizer for UCLA's Women in Mathematics (WIM) group. My inbox is always open to former WIM mentees!

CV

• My Curriculum Vitae