Papers
7. Purity of generalized affine Springer fibers
from generic planar curve singularities, arXiv:2509.20800.
6. Integral cohomology of dual boundary complexes
is motivic, arXiv:2408.17301.
5. Cell decomposition and dual boundary complexes
of character varieties, arXiv:2307.16657.
(The main result of this paper proves the weak geometric P=W conjecture
of Katzarkov-Noll-Pandit-Simpson for very generic character varieties)
4. Dual boundary complexes of Betti moduli spaces
over the two-sphere with one irregular singularity, Advances in Mathematics, Vol. 462, Feb. 2025.
3. Augmentations are sheaves for Legendrian graphs,
with Byung Hee An, Youngjin Bae, Journal of Symplectic Geometry, Vol. 20, 2022.
2. Augmentations and ruling polynomials for Legendrian graphs,
with Byung Hee An, Youngjin Bae, Algebraic & Geometric Topology, Vol. 22, 2022.
1. Ruling polynomials and augmentations for Legendrian tangles,
arXiv:1707.04948. (essentially incorporated in my thesis)
0.
A Hodge-theoretic study of augmentation varieties associated to Legendrian knots/tangles, Ph.D thesis, ProQuest 2018.