About Me

Hello! I'm Nancy (she/her), a fourth-year PhD candidate in the Department of Mathematics at UC Berkeley. I am advised by Michael Hutchings. I took my Qualifying Examination in the 2024 Spring semester. I am also a GSI for MATH 55. Before attending Berkeley, I completed my undergraduate studies at the University of Edinburgh and obtained a master's from Trinity College, University of Cambridge.

My interests lie in solving problems in low-dimensional topology via symplectic geometry. I really like knots. Currently, I'm working on Legendrian unknotting problems.

You can reach me by email at nm.eagles@berkeley.edu or in my office, located at 869 Evans Hall.

For a snapshot of the kind of math I like, take a look at my slides from a talk I recently gave!

legendrian presentation.pdf

Activities

2025:

May: Attending the Georgia International Topology Conference (Athens, Georgia)
Spring: Organizing a student learning seminar on symplectic and contact constructions. (UC Berkeley)
January: UC Berkeley Teaching Conference - Quantitatives Workshop Leader (UC Berkeley)
January: Attended the JMM 2025 (Seattle, Washington)

2024:

November: The Arnold Chord Conjecture in 3 Dimensions ([st3ms] Seminar, UC Berkeley)
October: Knot surgeries in contact topology ([st3ms] Seminar, UC Berkeley)
January - April: Studying for my Qualifying Exams. My syllabus can be found here.

2023:

September: Unknotting knots and the Jones polynomial ([st3ms] Seminar, UC Berkeley)
April: Simply-connected, spineless 4-manifolds (3-manifold Seminar, UC Berkeley)
April: The Conway knot is not slice ([st3ms] Seminar, UC Berkeley)
January: Introduction to Heegaard Floer Homology I and II ([st3ms] Seminar, UC Berkeley)

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