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