Yau, Shing-TungZhou, Jie2014-06-062014-06-062014Zhou, Jie. 2014. Arithmetic Properties of Moduli Spaces and Topological String Partition Functions of Some Calabi-Yau Threefolds. Doctoral dissertation, Harvard University.http://dissertations.umi.com/gsas.harvard:11352http://nrs.harvard.edu/urn-3:HUL.InstRepos:12274581This thesis studies certain aspects of the global properties, including geometric and arithmetic, of the moduli spaces of complex structures of some special Calabi-Yau threefolds (B-model), and of the corresponding topological string partition functions defined from them which are closely related to the generating functions of Gromov-Witten invariants of their mirror Calabi-Yau threefolds (A-model) by the mirror symmetry conjecture.en-USMathematicsTheoretical physicsarithmeticCalabi-Yaumodularitymoduli spacepartition functionArithmetic Properties of Moduli Spaces and Topological String Partition Functions of Some Calabi-Yau ThreefoldsThesis or Dissertation2014-06-06