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Yixuan Pang
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Yixuan Pang
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  • Research
  • Notes/Slides
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    • Research
    • Notes/Slides
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Notes

  1. MATH 6440: Partial Differential Equations.

  2. Notes for the Wave Packet Decomposition, with Chenjian Wang.

Slides

  1. Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions: After H. Wang and J. Zahl, with Sam Craig, Peiqi Nie, and Chenjian Wang. (simplified and revised version)

  2. Mizohata-Takeuchi type inequalities for the moment curve

  3. Comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions

  4. $L^2$ weighted restriction for quadratic manifolds of arbitrary codimensions

  5. The proof of the $l^2$ decoupling conjecture by Bourgain and Demeter, with Ataleshvara Bhargava, Tiklung Chan, and Zi Li Lim.

  6. A short proof of an algebraic identity with applications to classical harmonic analysis.

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