Sean Curry

Email:   sean.curry@okstate.edu

Office:   MSCS 506

Office hours:   T 1:30-2:30PM (in MSCS 506), F 3:30-3:20PM (in the MLSC).

Teaching: In Fall 2024 I am teaching Math 2163, Calculus III, and Math 4283/55273, Complex Analysis.

Click here for my past course webpages.

Research: My research is in differential geometry and complex analysis in higher dimensions, particularly in conformal and CR geometry,
motivated by recent developments and applications in mathematical physics.

Papers and Preprints:

• Conformal submanifolds, distinguished submanifolds, and integrability, with R. Gover and D. Snell
  preprint, 87 pages.  [pdf][arxiv]

• Deformations and embeddings of three-dimensional strictly pseudoconvex CR manifolds, with P. Ebenfelt
  Mathematische Annalen, 2023.  [pdf][doi]

• Constructing group-invariant CR mappings, with J. Brooks, et. al.
  Complex Analysis and its Synergies 8:20 (2022).  [pdf][doi]

• Obstruction flat rigidity of the CR 3-sphere, with P. Ebenfelt
  J. Reine Angew. Math. (Crelle's Journal) 781 (2021), 105–126.  [pdf][doi]

• Bounded strictly pseudoconvex domains in C² with obstruction flat boundary II, with P. Ebenfelt
  Advances in Mathematics, 352 (2019), 611–631.  [pdf][doi]

• Bounded strictly pseudoconvex domains in C² with obstruction flat boundary, with P. Ebenfelt
  American Journal of Mathematics, 143(1):265–306, 2021.  [pdf] [doi]

• On the Lichnerowicz conjecture for CR manifolds with mixed signature, with J. S. Case & V. S. Matveev
  C. R. Math. Acad. Sci. Paris, 356(5):532-537, 2018.  [pdf][doi]

• Symplectic stability on manifolds with cylindrical ends, with Á. Pelayo & X. Tang
  Journal of Geometric Analysis, 2018.  [pdf][doi]

• CR embedded submanifolds of CR manifolds, with A. R. Gover
  Mem. Amer. Math. Soc. 258 (2019), no. 1241, v+81 pp.  [pdf][doi]

• An introduction to conformal geometry and tractor calculus, with a view to applications in general relativity, with A. R. Gover
  in Asymptotic Analysis in General Relativity, 86-170, London Math. Soc. Lecture Note Ser., 443, Cambridge Univ. Press, 2018.   [pdf][book]

Analysis Seminar: I am organizing the departmental Analysis Seminar.

Conference Co-organization

• AMS Special Session on Several Complex Variables, Partial Differential Equations, and CR Geometry, at the JMM 2024

• AMS Special Session on New Problems in Several Complex Variables, at the JMM 2022

• Southern California Analysis & PDE Conference, SCAPDE 2018

• Annual North American conference on Poisson geometry, Gone Fishing 2018

Links:
      Analysis Seminar
      Math Department Seminars
      Physics Department Seminars