Sean Curry
Email: sean.curry@okstate.edu
Office: MSCS 506
Office hours: W 3:30-4:30PM, F 10:30-11:30AM in MSCS 506.
Teaching: In Fall 2025 I am teaching two sections of Math 2233, Differential Equations.
Click here here for a list of course that I have taught previously.
Research: My research is in differential geometry and complex analysis in higher dimensions, particularly in conformal and CR geometry and related areas,
motivated by recent developments and applications in mathematical physics.
Papers and Preprints:
Asymptotic behavior of geodesics in conformally compact manifolds, with A. Nandi
preprint, 44 pages. [pdf][arxiv][video]Conformal submanifolds, distinguished submanifolds, and integrability, with R. Gover and D. Snell
preprint, 80 pages. [pdf][arxiv]Tasty Bits of Several Complex Variables, with J. Lebl
in Records from the S-Matrix Marathon: Selected Topics on Scattering Amplitudes, 1-42,
Springer Lecture Notes in Physics, Volume 1041, Springer Cham, 2025. [pdf][doi]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][slides]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][doi]
Conference Co-organization
AMS Special Session on Several Complex Variables, Partial Differential Equations, and CR Geometry, at the JMM 2025
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