Alan Du

Department of Mathematics, Caltech

Email: aydu@ caltech.edu (note: remove the space to get the correct address)

About Me

I am a fourth-year math Ph.D. student at Caltech studying low-dimensional topology. My advisor is Yi Ni.

I will be applying for postdoctoral positions in the Fall of 2026 with start dates in the Fall of 2027.

Research

My research interests are in low-dimensional topology, specifically three and four-manifold invariants from Heegaard Floer theory and Khovanov homology.

Papers and Preprints

Heegaard Floer Surgery Formula and Cosmetic Surgeries

Khovanov Homology for Tangles in Connected Sums, submitted

Teaching

I am or was a teaching assistant for the following courses at Caltech:

Fall 2022: Math 1a

Winter 2023: Math 1b - Analytical Math 1b Winter 2023

Spring 2023: Math 1c - Practical Math 1c Practical Spring 2023

Fall 2023: Math 109a

Spring 2024: Math 1c - Analytical (Head TA)

Fall 2024: Math 1a

Winter 2025: Math 1b - Analytical

Fall 2025: Math 1a

Winter 2026: Math 3

Spring 2026: Math 1c - Practical