Hyunki Min

Current Courses.

Math 2700: Differential Equations

Spring 2026 [ eLC ]

Papers.

2026

On nearly Lefschetz fibrations and spinal open books

with Agniva Roy and Luya Wang
[ pdf | slides ]

2025

Cable links of uniformly thick knot types

with Rima Chatterjee, John Etnyre and Thomas Rodewald
[ arXiv ]

Bordered contact invariants and half Giroux torsion

with Konstantinos Varvarezos
[ arXiv ]

2024

Spinal open books and symplectic fillings with exotic fibers

with Agniva Roy and Luya Wang
[ arXiv | slides ]

On contact invariants in bordered Floer homology

with Konstantinos Varvarezos
[ arXiv | slides ]

2023

Tight contact structures on a family of hyperbolic L-spaces

with Isacco Nonino
[ arXiv ]

Spaces of Legendrian cables and Seifert fibered links

with Eduardo Fernández
Mathematische Annalen [ arXiv ]

Existence and construction of non-loose knots

with Rima Chatterjee, John Etnyre and Anubhav Mukherjee
IMRN [ arXiv ]

Small symplectic caps and embeddings of homology balls in the complex projective plane

with John Etnyre, Lisa Piccirillo and Agniva Roy
To appear in Selecta Mathematica [ arXiv ]

2022

The contact mapping class group and rational unknots in lens spaces

IMRN [ arXiv | slides ]

Non-loose torus knots

with John Etnyre and Anubhav Mukherjee
[ arXiv | slides ]

Strongly fillable contact structures without Liouville fillings

[ arXiv ]

2020

Cabling Legendrian and transverse knots

with Apratim Chakraborty and John Etnyre
Journal of Differential Geometry [ arXiv | slides ]

On 3-manifolds that are boundaries of exotic 4-manifolds

with John Etnyre and Anubhav Mukherjee
Transactions of the AMS [ arXiv | slides ]

2019

Classification of tight contact structures on surgeries on the figure-eight knot

with James Conway
Geometry & Topology [ arXiv | slides ]

Contact Topology Calculators.

ETC.

cv

[ pdf ]