o
(with Z. Shi) A
homotopy formula for $a_q$ domains in complex manifolds, submitted, 24 pages
o (with Z. Shi) Global Newlander-Nirenberg theorem on domains
with finite smooth boundary in complex manifolds, submitted, 60 pages
o
(with H. Gaussier and A. Zimmer) Smooth equivalence of families of strongly
pseudoconvex domains, submitted, 31
pages.
o
On regularity of dbar-solutions on a_q domains with
C^2 boundary in complex manifolds, Trans. A.M.S. 378(2025) 1771-1829.
o
(with L. Stolovitch) On neighborhoods of embedded
complex tori, Math. Ann., 391(2025), 2509-2540.
o
(with L. Stolovitch) A structure theorem for
neighborhoods of compact complex manifolds,
J. Geom. Anal, 34(2024) 30 pages.
o (with C. Gan) Global
Newlander-Nirenberg theorem for domains with C2 boundary, Michigan Math. J. 74(2024), no. 2, 283-329.
o (with L. Stolovitch) Equivalence of
neighborhoods of embedded compact complex manifolds and higher codimension
foliations, Arnold Math. J. 8 (2022) 61-145.
o (with L. Lanzani) Regularity of a dbar-solution
operator for strongly C-linearly
convex domains with minimal smoothness, Elias
M. Stein: In Memoriam. J. Geom.
Anal, 31(2021), 6796-6818.
o (with H. Gaussier) Smooth
equivalence of deformations of domains in complex Euclidean spaces, Int. Math. Res. Not. IMRN (2020), no.
18, 5578-5610.
o A Frobenius-Nirenberg theorem with parameter, J. reine angew. Math. 759 (2020), 101-159.
o Hölder estimates for
homotopy operators on strictly pseudoconvex domains with C2 boundary, Math. Ann. 374(2019), issues 1-2, 841-880.
o (with L. Stolovitch) Real submanifolds of maximum complex tangent
space at a CR singular point, II, J.
Differential Geom. 112(2019), no. 1, 121-198.
o (with K.-T. Kim) The dbar-equation on variable strictly pseudoconvex domains, Math. Z. 290(2018), issue 1-2, 111-144.
o (with L. Stolovitch) Real
submanifolds of maximum complex tangent space at a CR singular point, I, Invent. Math., 206(2016), no. 1, 293-377.
o
(with J. Lebl) Normal forms for CR singular
codimension two Levi-flat submanifolds, Pacific
J. Math. 275 (2015), no. 1, 115–165.
o (with F. Bertrand) Dirichlet
and Neumann problems for planar domains with parameter, Trans. Amer. Math. Soc. 366 (2014), no. 1, 159–217.
o (with F. Bertrand and J.-P.
Rosay) Common boundary values of holomorphic functions for two-sided complex
structures, Michigan Math. J. 63
(2014), no. 2, 293-332.
o Existence of divergent
Birkhoff normal forms of Hamiltonian functions, Illinois J. Math. 56 (2012), no. 1, 85–94 (2013).
o (with S. M. Webster)
Regularity in the local CR embedding problem, J. Geom. Anal, 22(2012), no. 1, 261-293.
o (with S. M. Webster)
Regularity for the CR vector bundle problem II, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), (2011), no. 1, 129-191.
o (with S. M. Webster)
Regularity for the CR vector bundle problem I, Pure and Applied Mathematics Quarterly. 6 (2010), no.4, 983-998.
o (with P. Ahern) Real
analytic manifolds in Cn with parabolic complex tangents
along a submanifold of codimension one, Ann.
Fac. Sci. Toulouse Math. 18(2009), no.1, 1-64.
o (with P. Ahern) Pairs of
involutions of glancing hypersurfaces, Asian
J. Math 11(2007), no. 1, 19-38.
o (with J.-P. Rosay)
Differential inequalities of continuous functions and removing singularities of
Rado type for J-holomorphic maps, Math.
Scand. 101(2007), no. 2, 293-319.
o (with P. Ahern) Cusp-type
singularities of real analytic curves in the complex plane, in Geometric Analysis of PDE and Several
Complex Variables, Contemporary Mathematics 368(2005),
1-23.
o (with P. Ahern) A complete
classification for pairs of real analytic curves in the complex plane, J. Dynam. Control Systems, 11(2005), no.
1, 1-71,
& Erratum 13(2007), no. 2, 307-312.
o Anti-holomorphically
reversible holomorphic maps that are not holomorphically reversible, in Geometric function theory in several complex
variables, World Sci. Publishing, River Edge, NJ, 2004. 151-164.
o (with P. Cordaro)
Normalization of complex-valued planar vector fields which degenerate along a
real curve, Adv. Math. 184(2004),
no.1, 89-118.
o Existence of real analytic
surfaces with hyperbolic complex tangent that are formally but not
holomorphically equivalent to quadrics, Indiana
Univ. Math. J. 53 (2004), no.1, 83-96.
o Quantitative estimates for
periodic points of reversible and symplectic holomorphic mappings, Math. Ann. 323(2002), no. 2, 227-257.
o Conformal maps and
non-reversibility of elliptic area-preserving maps, Math. Z. 237(2001), no. 2, 275-300.
o Levi-flat invariant sets of
holomorphic symplectic mappings, Ann.
Inst. Fourier (Grenoble) 51(2001), no. 1, 151-208.
o Conformal maps, monodromy
transformations, and non-reversible Hamiltonian systems, Math. Res. Lett. 7 (2000), no. 4, 471-476.
o (with D. Burns) Singular
Levi-flat real analytic hypersurfaces, Amer.
J. Math. 121(1999), no. 1, 23-53.
o On totally real spheres in
complex space, Math. Ann. 309(1997),
no. 4, 611-623.
o Unimodular invariants of
totally real tori in Cn,
Amer. J. Math. 119(1997), no. 1, 19-54.
o Divergence of the
normalization for real Lagrangian surfaces with complex tangents, Pacific J. Math. 176(1996), no. 2, 311-324.
o Fixed points of elliptic
reversible transformations with integrals, Ergodic
Theory Dynam. Systems. 16(1996), no. 4, 683-702.
o Integrable analytic vector
fields with a nilpotent linear part, Ann.
Inst. Fourier (Grenoble) 45(1995), no. 5, 1449-1470.
o Real analytic submanifolds
under unimodular transformations, Proc.
Amer. Math. Soc. 123(1995), no. 1, 191-200.
o On the convergence of normalizations
of real analytic surfaces near hyperbolic complex tangents, Comment. Math. Helv., 69(1994), no. 4,
549-574.
o Normal forms of real surfaces under unimodular transformations
near elliptic complex tangents, Duke
Math. J. 74(1994), no. 1, 145-157.
o
Divergence for
the normalization of real analytic glancing hypersurfaces, Comm. Partial Differential Equations 19 (1994), no. 3-4, 643-654.
o
(with H. H. Chen) Singular directions and
differential polynomials of meromorphic functions, A Chinese summary appears in
Acta Math. Sinica 36 (1993), no. 5, 720. Acta
Math. Sinica (N.S.) 8 (1992), no. 4, 424-431.
o
(with Y. X. Gu) On Hayman directions, Sci. Sinica, Ser. A 31(1988), no. 9, 1053-1064.
o The homogeneous
differential polynomials and angular distribution of meromorphic functions.
(Chinese) Acta Math. Sinica 30(1987),
no. 3, 378-389.
o (with X. R. Zhu) Homogeneous differential polynomials and normal families. (Chinese) Nanjing Daxue Xuebao Shuxue Bannian Kan, 3 (1986), no. 1, 43-49.
Research supported in part by NSF grants and a Simons collaboration grant.