Associate Professor
Mailing Address:
Department of Mathematics
University of California, Irvine
440D Rowland Hall
Irvine, CA 926973875
Contact Info:
Tel: 19498248796
Fax: 19498247993
Email: lstseng@math.uci.edu
Research Interest
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.
I welcome inquiries from excellent undergraduate and graduate students who are interested in doing research projects in geometry, topology and mathematical physics.
Teaching 20142015
Fall 2014
Math 250A: Algebraic Topology
Winter 2015
Math 2B: Calculus
Math 250B: Algebraic Topology
Spring 2015
Math 250C: Algebraic Topology
Outreach
I am actively involved in the UC Irvine Math CEO (Community Educational Outreach) program.
Papers

L.S. Tseng and L. Wang, "Hodge theory and symplectic boundary conditions," arXiv:1409.8250.
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S.C. Lau, L.S. Tseng, and S.T. Yau, "NonKaehler SYZ mirror symmetry," arXiv:1409.2765.
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L.S. Tseng, "Cohomologies on symplectic manifolds,"
to appear in the Proceedings of the Sixth International Congress of Chinese Mathematicians, AMS/IP Sud. Adv. Math.
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C.J. Tsai, L.S. Tseng, and S.T. Yau, "Cohomology and Hodge theory on symplectic manifolds: III,"
to appear in J. Differential Geom.
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L.S. Tseng and S.T. Yau, "Generalized cohomologies and supersymmetry," Comm. Math. Phys. 326 (2014) 875885.
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C.J. Tsai, L.S. Tseng, and S.T. Yau, "Symplectic cohomologies on phase space," J. Math. Phys. 53 (2012) 095217.
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L.S. Tseng and S.T. Yau, "Cohomology and Hodge theory on symplectic manifolds: II," J. Differential Geom. 91 (2012) 417443.
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L.S. Tseng and S.T. Yau, "Cohomology and Hodge theory on symplectic manifolds: I," J. Differential Geom. 91 (2012) 383416.
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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).
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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).
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M. Becker, L.S. Tseng, and S.T. Yau, "New heterotic nonKaehler geometries," Adv. Theor. Math. Phys. 13 (2009) no. 6, 18151845.
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J.X. Fu, L.S. Tseng, and S.T. Yau, "Local heterotic torsional models," Comm. Math. Phys. 289 (2009) no. 3, 11511169.
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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).
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M. Becker, L.S. Tseng, and S.T. Yau, "Heterotic Kaehler/nonKaehler transitions," Adv. Theor. Math. Phys. 12 (2008) no. 5, 11471162.
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M. Becker, L.S. Tseng, and S.T. Yau, "Moduli space of torsional manifolds," Nucl. Phys. B786 (2007) no. 12, 119134.
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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.
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K. Becker and L.S. Tseng, "Heterotic flux compactifications and their moduli," Nucl. Phys. B741 (2006) 162179.
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K. Becker and L.S. Tseng, "A note on fluxes in sixdimensional string theory backgrounds," Nucl. Phys. B707 (2005) 4355.
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K. Okuyama and L.S. Tseng, "Threepoint functions in N=4 SYM theory at oneloop," J. High Energy Phys. 0408 (2004) 055.
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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.
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L.S. Tseng, "A note on c=1 Virasoro boundary states and asymmetric shift orbifolds," J. High Energy Phys. 0204 (2002) 051.
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L.S. Tseng, "Noncommutative solitons and intersecting Dbranes," Phys. Rev. D64 (2001) 126004.
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E. D. Carlson and L.S. Tseng, "Pseudoscalar conversion and Xrays from the sun," Phys. Lett. B365 (1996) 193201.
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