Publications
Character Varieties and Skeins
Complex Algebraic Geometry
Logarithmic Moduli Spaces
- (with M. Swaminathan) What is a stable log map?,
In preparation
- BPS invariants of symplectic log Calabi-Yau fourfolds,
Trans AMS, Volume 377, Number 5, May 2024, Pages 3449-3486 (arXiv:2206.13589)
- (with P. Safari) Relative Seiberg-Witten invariants and a sum formula,
arXiv:2009.09531
- Limits of stable maps in a semi-stable degeneration,
Geometriae Dedicata volume 216, Article number: 66 (2022) (arXiv:1710.00599, v2: 2020 with a different title)
- Deformation theory of log pseudoholomorphic curves and logarithmic Ruan-Tian perturbations,
Peking Mathematical Journal, Volume 8, pages 41–142, (2025) (arXiv:1910.05201)
- Pseudoholomorphic curves relative to a normal crossings symplectic divisor: compactification,
Geometry and Topology 26 (2022) 989-1075 (arXiv:1710.00224)
Monographs
Normal Crossings Symplectic Divisors and Varieties
- (with M. McLean and A. Zinger) Normal crossings singularities for symplectic topology; structures,
Acta Mathematica Sinica, English Series, Jan., 2024, Vol. 40, No. 1, pp. 107-160 (arXiv:2112.13125)
- (with M. McLean and A. Zinger) Normal crossings singularities for symplectic topology II,
arXiv:1908.09390
- (with M. McLean and A. Zinger) Singularities and semistable degenerations for symplectic topology,
Comptes Rendus Mathematique vol. 356 issue 4 (2018) pp. 420-432 (arXiv:1707.01464)
- (with A. Zinger) Normal crossings degenerations of symplectic manifolds,
Peking Mathematical Journal volume 2 (2019), pages 275--351 (arXiv:1603.07661)
- (with M. McLean and A. Zinger) The smoothability of normal crossings symplectic varieties,
arXiv:1410.2573
- (with M. McLean and A. Zinger) Normal crossings singularities for symplectic topology,
Advances in Mathematics, 339 (2018) 672-748 (arXiv:1410.0609)
Relative Gromov-Witten Theory and Sum Formula
Information Theory and Communication Networks
- (with N. Torkzaban, A. Khojastepour, J. S. Baras) RIS-aided mmWave beam-forming for two-way communications between Multiple Pairs,
ITU Journal on Future and Evolving Technologies, Volume 4 (2023), Issue 1, Pages 87-101
- (with A. Khojastepour) A sufficiency condition for interference alignment,
Proceedings of IEEE ISIT, 2015 pp. 1497-1501
- (with A. Khojastepour, K. Sandaresan, S. Rangarajan) Scaling Wireless full-duplex in multi-cell networks,
Proceedings of IEEE Infocom, 2015 pp. 1751-1759
- (with A. Khojastepour) Characterizing per node degrees of freedom in an interference network,
Proceedings of IEEE ISIT 2014 pp. 1016-1020
- (with A. Khojastepour, K. Sandaresan, S. Rangarajan) Degrees of freedom per communication node,
Proceedings of IEEE WiOpt, 2014 pp. 707-714
Real/Open Gromov-Witten Theory