INDIVIDUAL INVESTIGATOR AWARDS- ANALYSIS PROGRAM- FY 2004
Program directors: C.Berenstein, J. B. Conway, D.Drasin, A. Freire, J. W. Jenkins

Jenkins
PROPOSAL INVESTIGATOR INSTITUTION TITLE



Co-PIs
0400826 Agler UCSD Extending Hilbert space operators


0400860 Anshelevich UC Riverside Combinatorial methods in free probability

0400880 Baouendi UCSD Geometric and analytic problems in several complex variables Rothschild
0401708 Bates Michigan St Topics in finite and infinite dimensional dynamical systems Lu
0407502 Berest Cornell Rings of differential operators and the Hadamard problem
0400731 Blecher U Houston Structure in operator spaces and applications

0354962 Bleher Indiana Random matrix models, random polynomials, statistical physics
0402047 Borodin Caltech Isomonodromy transformations of difference equations
0408704 Burns Northwestern Dynamics of partially hyperbolic systems

0354775 Chernov UAB Brownian motion in partially hyperbolic systems

0401260 Christ UC Berkeley Topics in mathematical analysis


0400674 Crandall UCSB Properties of absolutely minimizing functions

0400741 Curto Iowa Multivariable operator theory


0401126 Daskalopoulos Columbia Nonlinear diffusion equations and free boundary problems
0354567 de la Llave U Texas Study of global behavior in dynamical systems and PDE
0401215 Ebenfelt UCSD Geometry of real submanifolds in complex space and CR structures
0400587 Einsiedler U Washington Rigidity in homogeneous dynamics, connections to number theory
0400509 Fang Alabama Commutative algebraic methods in operator theory

0400614 Fornaess Michigan Problems in complex analysis


0401720 Garnett UCLA Problems in function theory


0400987 Ge UNH Operator algebras and applications


0400631 Gorodnik Michigan Ergodic theoretic properties of actions of discrete groups
0400342 Gorokhovsky Colorado Research in local index theory and noncommutative geometry
0400387 Grafakos U Missouri Fourier analysis : old themes, new perspectives

0354948 Han Notre Dame Nonlinear partial differential equations


0353549 Heinonen Michigan Nonsmooth structures in geometric function theory

0400794 Helton UCSD Operator theory arising from systems engineering

0400940 Hundertmark Illinois Research in Schroedinger operators


0400945 Ilyashenko Cornell Hilbert's 16th problem, complex dynamics, analytic foliations
0407090 Ionescu Wisconsin Carleman estimates with nonconvex weights, Riesz rearrangement
0401009 Its IUPUI Analytical aspects of the theory of integrable systems
0401734 Jones Berkeley Subfactors, bimodules and quantum mechanics

0400980 Kasparov Vanderbilt Applications of operator K-theory in topology, harmonic analysis, index th
0432237 Katz Indiana  Algebraic and probabilistic examples in combinatorial geometry
0401277 Killip UCLA Schroedinger operators,integrable systems and other simple models in math phys
0401436 Kim MIT Free boundary problems and viscosity solutions
Jerison
0400426 King Northeastern Mathematical problems in quantum information theory
0400505 Koenig Chicago Problems in harmonic analysis and several complex variables
0401177 Krieger Harvard Global regularity and development of singularities for nonlinear wave equations
0401084 Kumar U North Carolina Geometric methods in representation theory

0354339 Latushkin U Missouri Spectral theory of differential and weighted composition operators
0405439 Lenci StevensTech Noncompact random billiards, quantum large deviations
0401118 Li Rutgers Some fully nonlinear elliptic equations


0401174 Li Colorado Qualitative properties of NL differential and integral equations and systems
0355273 Lin Oregon C* algebras and dynamical systems


0400446 Lubinsky Ga tech Bernstein constants, orthogonal polynomials, Pade approximation
0403983 Masmoudi NYU Asymptotic problems in fluid mechanics, gas dynamics, quantum mechanics
0400481 Mauldin North Texas Measures, dimension and dynamics

Urbanski
0400636 Merenkov Michigan Analytic properties of maps from non-analytic data

0400639 Mitrea Missouri Singular integrals, smoothness spaces, optimal estimates for BVP
0355443 Muhly U Iowa Problems in the theory and applications of operator tensor algebras
0355360 Muscalu Cornell Paraproducts with flag singularities


0400452 Ni Minnesota Concentration phenomena in diffusion and cross-diffusion systems
0400054 Odell Texas Applns of logic, combinatorics and set theory to Banach space geometry
0402068 Olafsson LSU Harmonic analysis and Lie groups


0400611 Onninen Michigan Mappings of finite distortion


0401179 Petrosyan Purdue Aspects of free boundary problems


0400702 Polacik Minnesota Qualitative studies of parabolic PDE


0353513 Popescu Tex S Antonio Topics in multivariable operator theory and interpolation
0400841 Price USNA Classification of quantum dynamical systems (RUI)

0350911 Putinar UCSB Positivity, inverse problems and operator theory

0400962 Rochberg Washington U Problems in function theory and operator theory

0400627 Rodnianski Princeton Local regularity and long-time behavior of solutions of NL evolution equations
0401602 Roudenko Duke Methods of harmonic analysis in PDE, integrable systems
0400491 Rudolph Maryland Orbit methods in ergodic theory


0400789 Ryabogin Kansas St Fourier transform and convex bodies


0401014 Sadovskaya South Alabama Conformal structures, rigidity for Anosov, partially hyperbolic systems
0401655 Sadun U Texas Topological and geometric aspects of tiling dynamical systems
0400687 Sarig Penn State Phase transitions in smooth dynamical systems

0355027 Shanmugalingam Cincinnatti Potential theory on metric measure spaces

0355226 Shlyakhtenko UCLA Free probability theory and L2 invariants

0401038 Sideris UCSB Nonlinear multidimensional systems of hyperbolic PDE
0400526 Sigal Notre Dame Quantum and classical evolution


0401043 Smith TAMU Studies in operator algebras


0355187 Solomyak Washington U Measures, dimension and ergodic theory

0412908 Solynin Arkansas Extremal problems in complex analysis and function theory
0400869 Stefanov Purdue Inverse anisotropic problems and resonances

0401328 Sternberg Indiana Singular structures arising from variational problems in materials science
0355455 Sylvester U Washington Far fields and remote sensing


0400879 Thiele UCLA Multilinear and nonlinear harmonic analysis

0400423 Torres Kansas Fourier analysis techniques and applications

0406450 Totik South Florida Smoothness of harmonic measure, polynomial inverse method
0400307 Trent Alabama Interpolation, invariant subspaces, models and corona problems
0401064 Uribe U Michigan Spectral theory and geometric quantization

0400909 Varolin UIC Geometric problems in complex analysis

0401159 Verchota Syracuse Multidirectional boundary value problems

0401032 Vershynin UC Davis Combinatorial and probabilistic approach to geometric functional analysis
0400718 Wang Kentucky L-infinity calculus of variations, NL elliptic eqns on Carnot gps, biharm maps
0401261 Wang Iowa Regularity for partial differential equations

0355180 Weiss Penn State Applications of dynamics to geometry, stat physics, population biology
0401326 Wilkinson Northwestern Partial hyperbolicity and rigidity


0401252 Williams North Carolina Nonlinear stability of multidimensional structures in fluid dynamics
0400420 Wolf UC Berkeley Lie groups




0400643 Wu U Michigan Mathematical analysis of vortex sheet and water wave motion
0400810 Wu  Illinois QC deformation of selfsimilar sets, Fatou theorems for p-Laplacian
0401323 Wunsch Northwestern Linear PDE on singular spaces


0401334 Xia Northwestern Research in Hamiltonian dynamics


0401048  Yan Michigan St Regularity problems for multiple integrals and interfacial coarsening