I am mostly interested in Partial Differential Equations and Harmonic Analysis. My papers are available on
Arxiv .
For convenience I provide below a complete list of my work with links to both the ARXIV version (free)
and the Journal version (may need subscription).
- Arxiv                
Optimal multilinear restriction estimates for a class of hypersurfaces with curvature.
- Arxiv
Journal
 
The optimal trilinear restriction estimate for a class of hypersurfaces with curvature. Advances in Mathematics.
- Arxiv                
The multilinear restriction estimate: a short proof and a refinement.
to appear in Math. Res. Letters.
- Arxiv
Journal
 
Optimal bilinear restriction estimates for general hypersurfaces and the role of the shape operator. IMRN.
- Arxiv
Journal
 
Well-posedness and scattering for the Zakharov system in four dimensions,
with Z. Guo, S. Herr, K. Nakanishi. Analysis and PDE.
- Arxiv
Journal
 
The cubic Dirac equation: Small initial data in H^1/2(R^2),
with S. Herr. Communications in Mathematical Physics.  
- Arxiv
Journal
 
On global well-posedness and scattering for the massive Dirac-Klein-Gordon system,
with S. Herr. Journal of European Math. Soc.
- Arxiv
Journal
  The cubic Dirac equation in H^1(R^3),
with S. Herr. Communications in Mathematical Physics.
- Arxiv
Journal  
Equivariant Schrödinger Maps in two spatial dimensions: the H^2 target,
with A. Ionescu, C. Kenig, D. Tataru. Kyoto Journal of Mathematics
- Arxiv
Journal  
Equivariant Schrödinger Maps in two spatial dimensions,
with A. Ionescu, C. Kenig, D. Tataru. Duke Math. Journal.
-  
A codimension two stable manifold of near soliton equivariant wave maps,
with J. Krieger, D. Tataru. Analysis and PDE.
Arxiv
Journal
-  
Near soliton evolution for equivariant Schrödinger Maps in two spatial dimensions
with D. Tataru. Memoirs of the American Mathematical Society.
Arxiv
Journal
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Convolutions of singular measures and applications to the Zakharov system,
with S. Herr. Journal of Functional Analysis.
Arxiv
Journal
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On the stability of certain spin models in 2+1 dimensions,
with A. Ionescu, C. Kenig. Journal of Geometric Analysis.
Arxiv
Journal
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On the 2d Zakharov system with L^2 Schrödinger data,
with S. Herr, J. Holmer, D. Tataru. Nonlinearity.
Arxiv
Journal
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A convolution estimate for two-dimensional hypersurfaces, with
S. Herr, D. Tataru; Revista Matemática Iberoamericana.
Arxiv
Journal
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Global Schrödinger maps, with A. Ionescu, C. Kenig, D. Tataru. Annals of Mathematics.
Arxiv
Journal
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Global wellposedness in the energy space for the
Maxwell-Schrödinger system, with D. Tataru. Communications in Mathematical Physics.
Arxiv
Journal
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Large data local solutions for the derivative NLS equation,
with D. Tataru. Journal of European Math. Soc.
Arxiv
Journal
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Low regularity solutions for a 2D quadratic non-linear Schrödinger equation ,
with D. de Silva. Transactions AMS
Arxiv
Journal
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Global existence and uniqueness for Schrödinger maps in dimensions d ≥ 4,
with A. Ionescu, C. Kenig. Advances in Mathematics.
Arxiv
Journal
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Global results for Schrödinger Maps in dimensions n ≥ 3. Communications in PDE
Arxiv
Journal
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On Schrödinger Maps. American Journal of Mathematics
Arxiv
Journal
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Quadratic Nonlinear Derivative Schrödinger Equations - Part 2. Transactions AMS
Arxiv
Journal
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Quadratic Nonlinear Derivative Schrödinger Equations - Part 1.
International Mathematics Research Papers
Arxiv
Journal
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Sharp well-posedness and ill-posedness results for a
quadratic non-linear Schrödinger equation, with T. Tao. Journal of Functional Analysis
Arxiv
Journal
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An abstract approximate controllability result and applications
to elliptic and parabolic systems with dynamic boundary conditions,
with J. I. Diaz and I. Vrabie. EJDE
Journal