# Timothy Nguyen

Email: t"mylastname"@scgp.stonybrook.edu
Office: 507

I am a Research Assistant Professor at the Simons Center for Geometry and Physics. (Webpage to be relocated from MIT, where I was formerly a graduate student, at some point...)

## Research Interests

I have been working in problems of analysis and geometry, particularly those arising from gauge theory, geometric PDE, and physics. In my thesis, I study the Seiberg-Witten equations on manifolds with boundary. Parts I-III of my thesis are versions of my three Seiberg-Witten theory papers below.

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## Publications

Below are a list of my publications. The descriptions provided are meant to give informal tidbits of exposition concerning the contents the papers. This is both to give some additional introductory background for the casual reader and also to give a rough overview of some of the main motivation, ideas, difficulties, and applications contained in the papers.

1. Lagrangian correspondences and Donaldson's TQFT construction of the Seiberg-Witten invariants of 3-manifolds. preprint (submitted)  description  hide

2. Anisotropic function spaces and elliptic boundary value problems. preprint  description  hide
Math. Nachr. 285 (2012), no. 5-6, 687-706.

3. The Seiberg-Witten equations on manifolds with boundary II: Lagrangian boundary conditions for a Floer theory.  preprint (submitted)  description  hide

4. The Seiberg-Witten equations on manifolds with boundary I: The space of monopoles and their boundary values.  preprint (to appear in Comm. Anal. Geom.)  description  hide

5. A lower bound on the radius of analyticity of a power series in a real Banach space.  pdf  description  hide
Studia Math. 191 (2009), 171--179.

6. On discrete features of the wave equation in singular pp-wave backgrounds.  pdf  description  hide
(with O. Evnin)
JHEP 09 (2008) 105--115.

7. Positive Lyapunov exponents for a class of ergodic orthogonal polynomials on the unit circle.  pdf  description  hide
J. Math. Anal. Appl. 327 (2007), no. 2, 977--990.