Publications 2000-

1. Extremal discs and the regularity of CR mappings in higher codimension. Amer. J. Math. 123 (2001), 445-473; Addendum, Amer. J. Math. 126 (2004), 687-692.

2. (with A. Sukhov) Stationary discs and geometry of CR manifolds of codimension 2. Internat'l J. Math. 12 (2001), 877-890.

3. Foliations by complex curves and the geometry of real hypersurface of finite type. Math. Z. 240 (2002), 385-388.

4. A Morera type theorem in the strip. Math. Res. Let. 11 (2004), 23-29.

5. Extremal discs and the geometry of CR manifolds. In: Real Methods in Complex and CR Geometry, CIME Session, Martina Franca, 2002 (Lect. Notes in Math. 1848, 191-212) Springer 2004.

6. (with G. Henkin and A. Shananin) Estimates for solutions of Burgers type equations and some applications. J. Math. Pure Appl. 84 (2005), 717-752.

7. Testing analyticity on circles. Amer. J. Math. 129 (2007), 785-790.

8. (with L. Baracco and G. Zampieri) Extremal discs and the holomorphic extension from convex hypersurfaces. Ark. Mat. 45 (2007), 1-13.

9. (with A. Sukhov) Filling hypersurfaces by discs in almost complex manifolds of dimension 2. Indiana Univ. Math. J. 57 (2008), 509-544.

10. (with A. Sukhov) Pseudoholomorphic discs near an elliptic point. Proc. Steklov Inst. Math., 253 (2006), 275-282.

11. (with A. Scalari) Extremal discs and analytic continuation of product CR maps. Mich. Math. J., 55 (2007), 25-33.

12. (with V. Zharnitsky) Periodic orbits in outer billiards. Int. Math. Res. Not. 2006, Art. ID 67089, 17 pp.

13. (with B. Coupet and A. Sukhov) Proper J-holomorphic discs in Stein domains of dimension 2. Amer. J. Math. 131 (2009), 653-674.

14. (with A. Sukhov) Filling real hypersurfaces by pseudoholomorphic discs. J. Geom. Anal. 18 (2008), 632-649.

15. Analytic continuation from a family of lines. J. d'Analyse Math. 105 (2008), 391-396.

16. (with A. Sukhov) Regularization of almost complex structures and gluing holomorphic discs to tori. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. X (2011), 389-411.

17. (with A. Sukhov) Deformations and transversality of pseudo-holomorphic discs. J. d'Analyse Math. 116 (2012), 1-16.

18. (with A. Sukhov) Boundary value problems and J-complex curves. Complex Var. Elliptic Equ. 58 (2013), 1549-1557.

19. (with A. Sukhov) Hartogs figure and symplectic non-squeezing. Illinois J. Math. (Special issue in honor of John D'Angelo on the occasion of his 60th birthday) 56 (2012), 221-233.

20. Minimal biquadratic energy of 5 particles on 2-sphere. Indiana Univ. Math. J. 62 (2013), 1717-1731.

21. (with A. Sukhov) Gluing complex discs to Lagrangian manifolds by Gromov's method. Annales de la Faculte des Sciences de Toulouse, Vol. XXII (2013), 815-846.

22. (with A. Sukhov) Gromov's non-squeezing theorem and Beltrami type equation. Comm. Partial Differential Equations 39 (2014), 1898-1905.

23. Commutators of singular integrals, the Bergman projection, and boundary regularity of elliptic equations in the plane. Math. Res. Lett. 23 (2016), 1219-1244.

24. (with A. Sukhov) Symplectic non-squeezing in Hilbert space and discrete Schrodinger equations. J. Fixed Point Theory Appl. 18 (2016), 867-888.

25. (with A. Sukhov) Pseudoholomorphic discs and symplectic structures in Hilbert space. Contemp. Math. 662 (2016), 23-49.

26. (with B. Berndtsson et al) Gennadi Markovich Khenkin. (Russian) Uspekhi Mat. Nauk 72 (2017), no. 3(435), 170-190; translation in Russian Math. Surveys 72 (2017), no. 3, 547-570.

27. Scarcity of periodic orbits in outer billiards. J. Geom. Anal. (2017), https://doi.org/10.1007/s12220-017-9927-8

28. (with L. Baracco) A note on the closed range of $\bar\partial_b$ on q-convex manifolds. Complex Anal. Synerg. 6 (2020), no. 2, Paper No. 14, 6 pp.

29. Stationary discs and finite jet determination for CR mappings in higher codimension. Adv. Math. 371 (2020), 107254, 11 pp.

30. Infinitesimal automorphisms of quadrics and second jet determination for CR mappings. Preprint, arXiv:2207.05307

Last modified July 2022