Papers
9. Cell decomposition of Deligne-Lusztig varieties, in preparation.
8. Mirror P=W phenomena for (wild) character varieties, in preparation.
7. A note on the HLRV conjecture, in preparation.
6. Cell decomposition, dual boundary complexes, and motives 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)
5. Dual boundary complexes of Betti moduli spaces over the two-sphere with
one irregular singularity, arXiv:2109.01645. (under revision for Advances in Mathematics)
4. Augmentations are sheaves for Legendrian graphs,
with Byung Hee An, Youngjin Bae, Journal of Symplectic Geometry, 2022.
3. Augmentations and ruling polynomials for Legendrian graphs,
with Byung Hee An, Youngjin Bae, Algebraic & Geometric Topology, 2022.
2.
A Hodge-theoretic study of augmentation varieties associated to Legendrian knots/tangles, Ph.D thesis, ProQuest 2018.
1. Ruling polynomials and augmentations for Legendrian tangles,
arXiv:1707.04948. (essentially incorporated in my thesis)