Guy C. David
Guy C. David
Associate Professor of Mathematical Sciences

Phone:765-285-8676

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Room:RB 421

Degrees:

Ph.D., University of California, Los Angeles, 2014
M.A. in Mathematics, University of California, Los Angeles, 2010
A.B. in Mathematics, Princeton University, 2009

Research Interests:

  • Analysis
  • Non-smooth geometry

Selected Publications:

(partially supported by NSF DMS-1664369, DMS-1758709, and DMS-2054004):

  • G. C. David and R. Schul, Quantitative decompositions of Lipschitz mappings into metric spaces. Transactions of the American Mathematical Society, 376 (2023), 5521-5571.
  • G. C. David and R. Schul, A sharp necessary condition for rectifiable curves in metric spaces. Revista Matemática Iberoamericana 7 (2021), no. 3, 1007-1044.
  • G. C. David and S. Eriksson-Bique, Regular mappings and non-existence of bi-Lipschitz embeddings for slit carpets. Advances in Mathematics, 364 (2020), 107047.
  • G. C. David and B. Kleiner, Rectifiability of planes and Alberti representations. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 19 (2019), no. 2, 723-756.
  • G. C. David and K. Kinneberg, Rigidity for convex-cocompact actions on rank-one symmetric spaces. Geometry & Topology 22 (2018), no. 5, 2757–2790.
  • G. C. David, Bi-Lipschitz pieces between manifolds. Revista Matemática Iberoamericana, 32 (1): 175-218, 2016.
  • G. C. David, Tangents and rectifiability of Ahlfors regular Lipschitz differentiability spaces. Geometric and Functional Analysis, 25 (2): 553-579, 2015.

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