Alan Du

Department of Mathematics, Caltech

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

About Me

I am a fifth-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 in connected sums, submitted

Khovanov homology in connected sums, properties and applications, 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