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 2023 I am teaching Math 2153, Calculus II, and Math 4143/5043, Advanced Calculus I.
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]
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]
Deformations and embeddings of three-dimensional strictly pseudoconvex CR manifolds, with P. Ebenfelt
Mathematische Annalen, 2023. [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 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
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