Richard Hind webpage
Address: Department of
Mathematics, University of Notre Dame, Notre Dame, IN
Email: hind.1@nd.edu
Mathematics in Architecture,
Math 10270, Spring 2019.
Department of Mathematics, Notre
Dame
Publications and
Preprints
Filling by holomorphic disks with
weakly pseudoconvex boundary conditions, Geom. Funct.
Anal., 7(1997), 462-495.
Holomorphic filling of RP^3, Commun. Comtemp.
Math., 3(2000), 349-363.
Symplectic geometry and the uniqueness of Grauert
tubes, (with D.
Burns), Geom. Funct. Anal., 11(2001), 1-10.
Antiholomorphic involutions on
Stein manifolds,
Intern. J. of Math., 14(2003), 479-487.
The geometry of Grauert tubes and complexifications of symmetric spaces, (with D. Burns and S. Halverscheid), Duke Math. J., 118(2003), 465-491.
Stein fillings of Lens spaces, Commun. Comtemp.
Math., 5(2003), 967-982.
Lagrangian spheres in S^2 x S^2, Geom. Funct. Anal., 14(2004), 303-318.
Symplectic rigidity for Anosov
hypersurfaces,(with
D. Burns), J. Ergodic Theory and Dynamical Systems, 26(2006), 1399-1416.
Symplectic hypersurfaces in CP^3, Proc. of the Amer. Math. Soc.,
134(2006), 1205-1211.
Lagrangian spheres in Stein surfaces, Asian J. Math., 16(2012), 1-36.
Isotopies of
high genus Lagrangian surfaces, (with A. Ivrii), preprint.
Contact
homology and Lens spaces (with M. Schwarz), preprint.
Symplectic capacities of domains in Euclidean space, International Math. Research
Notices, 2006.
Cubulations
of symplectic 4-manifolds, preprint.
Ruled
4-manifolds and isotopies of symplectic surfaces, (with A. Ivrii),
Math Zeit., 265(2010), 639-652.
Existence and
stability of foliations by J-holomorphic spheres, (with J. von Bergmann), Ann.
Global Anal. Geom., 37(2010), 413-427.
New
obstructions to symplectic embeddings, (with E. Kerman), Invent. Math.,
196(2014), 383-452. Correction: Invent. Math. 214(2018), 1023-1029.
Symplectic
embedding of ellipsoids in dimension greater than four, (with O. Buse), Geom. and Top.,
15(2011), 2091-2110.
Ellipsoid embeddings and symplectic packing stability, (with O. Buse), Compos. Math.,
149(2013), 889-902.
On non-pure forms on
almost-complex manifolds, (with C. Medori and A. Tomassini),
Proc. of the Amer. Math. Soc., 142(2014), 3909-3922.
Embeddings
of polydisks,
(with S. Lisi), Selecta Math., 21(2015), 1099-1120.
Erratum: Selecta Math.,
23(2017), 813-815.
Symplectic folding and non-isotopic polydisks, Alg. and Geom. Top, 13(2013),
2171-2192.
Symplectomorphism
groups of non-compact manifolds, orbifold balls, and a space of Lagrangians, (with M. Pinsonnault and W. Wu), J. Symp.
Geom., 14(2016), 203-226.
Symplectic isotopies in dimension greater than four, J. Symp.
Geom., 14(2016), 1033-1057.
On taming and compatible symplectic
forms, (with
C. Medori and A. Tomassini), J. Geom. Anal.,
25(2015), 2360-2374.
Packing
stability for symplectic 4-manifolds, (with O. Buse and E. Opshtein), Trans. of the Amer. Math. Soc., 368(2016),
8209-8222.
Some
optimal embeddings of symplectic ellipsoids, J. Topology., 8(2015), 871-883.
Symplectic embeddings of products, (with D. Cristofaro-Gardiner),
Comment. Math. Helv., 93(2018), 1-32.
Stabilized symplectic embeddings, in the book Complex and Symplectic
Geometry, Springer INdAM Series 21(2017), 85-93.
The ghost stairs stabilize to sharp symplectic embedding obstructions, (with D. Cristofaro-Gardiner
and D. McDuff), J. Topology, 11(2018), 309-378.
J-holomorphic cylinders between
ellipsoids in dimension four, (with E. Kerman), J. Symp. Geom.,
18(2020), 1221-1245.
On L^2 cohomology
of almost Hermitian manifolds, (with A. Tomassini), J. Symp. Geom.,
17(2019), 1773-1792.
Squeezing Lagrangian
tori in dimension 4, (with E. Opshtein), Comment. Math. Helv., 95(2020), 535-567.
On the Anti-Invariant Cohomology of Almost Complex Manifolds, (with A. Tomassini), J. Geom.
Anal., 31(2021), 4906-4922.
The shape invariant of symplectic ellipsoids, (with J. Zhang), preprint.
Higher symplectic
capacities and the stabilized embedding problem for integral ellipsoids, (with D. Cristofaro-Gardiner
and K. Siegel), J. Fixed Point Theory Appl. 24(2022), no. 2: Viterbo Volume, paper no. 49.
Hamiltonian knottedness and lifting paths from the shape invariant, (with J. Zhang), Compos. Math.,
159(2023), 2416-2457.
Packing
Lagrangian tori, (with E. Kerman), to appear in
Geom. and Top.
Families of almost complex structures
and transverse (p,p) forms,
(with C. Medori
and A. Tomassini), J. Geom. Anal., 33(2013).
On the existence of symplectic
barriers, (with P. Haim-Kislev and Y. Ostrover), preprint.
Almost complex blow-ups and positive
closed (1,1)-forms on 4-dimensional almost complex manifolds, (with T. Sferruzza
and A. Tomassini), preprint.
Boundaries of open symplectic
manifolds and the failure of packing stability, (with D. Cristofaro-Gardiner),
preprint.
On the agreement of symplectic
capacities in high dimension, (with D. Cristofaro-Gardiner), preprint.
On the large-scale geometry of domains
in an exact symplectic 4-manifold, (with D. Cristofaro-Gardiner),
preprint.
Lagrangian isotopies and
stabilized symplectic embeddings, to appear in Proceedings of the Gokova Topology Conference 2023.