**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), to appear in
Compos. Math.

*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,* preprint.