 AlmostLinear εEmulators for Planar Graphs,
with Robert Krauthgamer and
Zihan Tan,
accepted to the 54th Annual ACM Symposium on Theory of Computing (STOC'22).



 Deterministic, NearLinear εApproximation Algorithm for Geometric Bipartite Matching,
with Pankaj Agarwal,
Sharath Raghvendra and
Allen Xiao,
accepted to the 54th Annual ACM Symposium on Theory of Computing (STOC'22).
















 Tightening Curves and Graphs on Surfaces,
Ph.D. dissertation, University of Illinois at UrbanaChampaign, July 2018.




 Spectral Aspects of Symmetric Matrix Signings,
with Charles Carlson,
Karthekeyan Chandrasekaran,
Naonori Kakimura, and
Alexandra Kolla,
Discrete Optimization, volume 37, article 100582, pages 122, 2020.
Conference version in
Proceedings of the 44th International Symposium on Mathematical Foundations of Computer Science (MFCS'19),
pages 81:181:13, 2019.
This paper improves over some of the results from our earlier preprint
"Invertibility and Largest Eigenvalue of Symmetric Matrix Signings".


 Tightening Curves on Surfaces via Local Moves,
with Jeff Erickson,
David Letscher,
Arnaud de Mesmay,
Saul Schleimer,
Eric Sedgwick,
Dylan Thurston, and
Stephan Tillmann,
Proceedings of the
29th Annual ACMSIAM Symposium on Discrete Algorithms (SODA'18),
pages 121135, 2018.


 Lower Bounds for Planar Electrical Reduction,
with Jeff Erickson,
preprint, 2017.






 Untangling Planar Curves,
with Jeff Erickson,
Discrete & Computational Geometry, volume 58, issue 4, pages 889920, 2017.
Special issue of invited papers from the 32nd International Symposium on Computational Geometry (SoCG'16).
Conference version in
Proceedings of the 32nd International Symposium on Computational Geometry (SoCG'16),
pages 29:129:16, 2016.
This paper improves over some of the results from our earlier preprint "Electrical Reduction, Homotopy Moves, and Defect".
Won the best student presentation award! Here are the slides.


 Electrical Reduction, Homotopy Moves, and Defect,
with Jeff Erickson,
preprint, 2015.
Some of the results from this paper are being improved in our conference submission "Untangling planar curves".










 Asymptotically Optimal Thickness Bounds of Generalized Bar Visibility Graphs,
with YenPeng Sung and HsuehI Lu,
manuscript not intended for publication, 2009.

