Liu, Yifeng

Department of Mathematics
Columbia University

Email:liuyf"at"math.columbia.edu
Office: 408 Mathematics

I am a graduate student in Mathematics at Columbia University and plan to graduate on May, 2012.
I will be a C.L.E. Moore instructor at Department of Mathematics, MIT from 2012 to 2015.
My advisor is Professor Shou-Wu Zhang.
I am interested in Algebraic Geometry and Number Theory.
Here is my Curriculum Vitae (Fall 2011).


Research

• (with Weizhe Zheng) Enhanced adic formalism, biduality and perverse t-structure for higher Artin stacks
      in preparation

• (with Weizhe Zheng) Enhanced six operations and base change theorem for sheaves on Artin stacks
      PDF preprint (2012)

• (with Weizhe Zheng) Gluing restricted nerves of infinity categories
      PDF preprint (2012)

• On quadratic distinction of automorphic sheaves
      PDF Int. Math. Res. Not., DOI: 10.1093/imrn/rnr207 (2011)

• Relative trace formulae toward Bessel and Fourier–Jacobi periods of unitary groups
      PDF submitted (2010)

• A non-archimedean analogue of Calabi–Yau theorem for totally degenerate abelian varieties
      PDF J. Diff. Geom., 89 (2011) 87–110

• Arithmetic theta lifting and L-derivatives for unitary groups II.
      PDF Algebra and Number Theory, 5 (2011) 923–1000

• Arithmetic theta lifting and L-derivatives for unitary groups I.
      PDF Algebra and Number Theory, 5 (2011) 849–921

Teaching

• August 2011: The 4th ILJU School of Mathematics Theta Festival Pohang University of Science and Technology

• Fall 2009: Mathematics V1102 Section 004 Calculus II Columbia University