LiSheng TsengAssociate Professor, Mathematics 
Research Interests 
Symplectic topology, geometry, mathematical physics  
URL  www.math.uci.edu/~lstseng/home.html  
Appointments 
Postdoctoral Associate, University of Utah, 20042006 Postdoctoral Research Fellow, Harvard University, 20062011 

Research Abstract 
My research seeks to uncover and understand the geometrical and topological data that characterize manifolds. My current work has focused on developing some novel cohomologies of differential forms as new tools for analyzing symplectic manifolds. I am also interested in applications of geometrical structures in theoretical physics.  
Publications 
L.S. Tseng and L. Wang, "Hodge theory and symplectic boundary conditions," preprin, arXiv:1409.8250. S.C. Lau, L.S. Tseng, and S.T. Yau, "NonKähler SYZ mirror symmetry," preprint arXiv:1409:2765. L.S. Tseng, "Cohomologies of symplectic manifolds," to appear in the Proceedings of the Sixth International Congress of Chinese Mathematicians, AMS/IP Stud. Adv. Math. C.J. Tsai, L.S. Tseng, and S.T. Yau, "Cohomology and Hodge theory on symplectic manifolds: III," to appear in J. Differential Geom. L.S. Tseng and S.T. Yau, "Generalized cohomologies and supersymmetry," Comm. Math. Phys. 326 (2014) 875–885. C.J. Tsai, L.S. Tseng, and S.T. Yau, "Symplectic cohomologies on phase space," J. Math. Phys. 53 (2012) 095217. L.S. Tseng and S.T. Yau, "Cohomology and Hodge theory on symplectic manifolds: II," J. Differential Geom. 91 (2012) 417444. L.S. Tseng and S.T. Yau, "Cohomology and Hodge theory on symplectic manifolds: I," J. Differential Geom. 91 (2012) 383416. L.S. Tseng and S.T. Yau, "NonKaehler CalabiYau manifolds," in Strings Math 2011, 241254, Proceedings of Symposia in Pure Mathematics, 85, Amer. Math. Soc., Providence, RI (2012). L.S. Tseng, "Cohomologies and elliptic operators on symplectic manifolds," in Fifth International Congress of Chinese Mathematicians Part 1, 341354, AMS/IP Stud. Adv. Math., 51, Amer. Math. Soc., Providence, RI (2012). M. Becker, L.S. Tseng, and S.T. Yau, "New heterotic nonKaehler geometries," Adv. Theor. Math. Phys. 13 (2009) no. 6, 18151845. J.X. Fu, L.S. Tseng, and S.T. Yau, "Local heterotic torsional models," Comm. Math. Phys. 289 (2009) no. 3, 11511169. L.S. Tseng, "Heterotic geometry and fluxes," in Advances in String Theory, 101108, AMS/IP Stud. Adv. Math., 44, Amer. Math. Soc., Providence, RI (2008). M. Becker, L.S. Tseng, and S.T. Yau, "Heterotic Kaehler/nonKaehler transitions," Adv. Theor. Math. Phys. 12 (2008) no. 5, 11471162. M. Becker, L.S. Tseng, and S.T. Yau, "Moduli space of torsional manifolds," Nucl. Phys. B786 (2007) no. 12, 119134. K. Becker, M. Becker, J.X. Fu, L.S. Tseng, and S.T. Yau, "Anomaly cancellation and smooth nonKaehler solutions in heterotic string theory," Nucl. Phys. B751 (2006) 108128. K. Becker and L.S. Tseng, "Heterotic flux compactifications and their moduli," Nucl. Phys. B741 (2006) 162179. K. Becker and L.S. Tseng, "A note on fluxes in sixdimensional string theory backgrounds," Nucl. Phys. B707 (2005) 4355. K. Okuyama and L.S. Tseng, "Threepoint functions in N=4 SYM theory at oneloop," J. High Energy Phys. 0408 (2004) 055. L.S. Tseng, Virasoro Branes and Asymmetric Orbifolds, Ph.D. Thesis, UMI3108121 (2003). L.S. Tseng, "SL(2,Z) multiplets in N=4 SYM theory," J. High Energy Phys. 0301 (2003) 071. L.S. Tseng, "A note on c=1 Virasoro boundary states and asymmetric shift orbifolds," J. High Energy Phys. 0204 (2002) 051. L.S. Tseng, "Noncommutative solitons and intersecting Dbranes," Phys. Rev. D64 (2001) 126004. E. D. Carlson and L.S. Tseng, "Pseudoscalar conversion and Xrays from the sun," Phys. Lett. B365 (1996) 193201. 

Professional Society 
American Mathematical Society 

Link to this profile  http://www.faculty.uci.edu/profile.cfm?faculty_id=6036  
Last updated  07/23/2015  