Skein Module/Algbera

• (with C. Frohman and J. Kania-Bartoszynska) The Kauffman Bracket Skein Module at an irreducible representation, arXiv:2402.17037
  

Complex Algebraic Geometry

• (with C. Frohman) On compactifications of the SL(2,C) character varieties of punctured surfaces
  arXiv:2305.12306
  
  
• Automorphism group of Batyrev Calabi-Yau threefolds
  Manuscripta Mathematica, 146, Issue 1 (2015), 299-306 (arXiv:1109.3238)
  

Logarithmic Moduli Spaces

• BPS invariants of symplectic log Calabi-Yau fourfolds
  Transactions of AMS (accepted 2024) DOI: https://doi.org/10.1090/tran/9114 (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, accepted (2023) (arXiv:1910.05201)
  
  
• Pseudoholomorphic curves relative to a normal crossings symplectic divisor: compactification
  Geometry and Topology 26 (2022) 989-1075 (arXiv:1710.00224)

Foundations of Gromov-Witten Theory

• (with K. Fukaya) Gromov-Witten theory via Kuranishi structures
  Mathematical Surveys and Monographs Vol: 237 (2019), Virtual Fundamental Cycles in Symplectic Topology, p. 111-253, (arXiv:1701.07821)
  
  

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
  submitted, 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

• (with A. Zinger) On the refined symplectic sum formula for Gromov-Witten invariants
  Int. J. of Mathematics, Vol. 31, No. 04 (2020) (arXiv:1410.8205)
  
  
• (with A. Zinger) On the Rim tori refinement of relative Gromov-Witten invariants
  Communications in Contemporary Mathematics, Vol. 23, No. 05 (2021) (arXiv:1412.8204)
  
  
• (with A. Zinger) Absolute vs. relative Gromov-Witten invariants
  J. Symplectic geometry, 14 (2016) no.4 1189-1250 (arXiv:1405.2045)
  
  
• (with A. Zinger) On symplectic sum formulas in Gromov-Witten theory
  Expository article, arXiv:1404.1898
  

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 (Best Paper Award)
  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

• (Part II with A. Zinger) Counting genus zero real curves in symplectic manifolds
  Geometry and Topology, 20 (2016) no. 2 629-695 (arXiv:1205.1809)
  
  
• Open Gromov-Witten theory on symplectic manifolds and symplectic cutting
  Advances in Mathematics 232 (2013) 238-270 (arXiv:1003.4325)