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New Members: Class of 2004 New Members: Class of 2004 Class I: a role in establishing a mathe- sis of semi-simple groups and the Moses H. W. Chan matical theory for liquid crystals, spectral theory and cohomology Pennsylvania State University, Mathematical and for both the static and dynamic of their quotients. Work encom- University Park, PA Physical Sciences cases. Made contributions to the passes Lie theory, Riemannian Evan Pugh Professor of Physics. study of topological defects. Estab- geometry, differential equations, Conducted experimental studies Section 1: Mathematics lished the dynamical laws for automorphic forms, algebraic of phase transitions in quantum the Ginzburg-Landau vortices in geometry, mathematical physics, and classical fluids. Elucidated superconductivity and the topo- and quantum computing. Authored David Aldous the effects of reduced dimensions, logical solitons in superfluids. monographs on the cohomology restricted geometries, and impu- University of California, of discrete groups, representation rities on phase behavior. Dis- Berkeley, CA Yuri I. Manin theory, and invariant theory. covered the supersolid phase in Professor of Statistics. Leading Northwestern University, Evanston, helium. ½gure in discrete probability, the IL; Max Planck Institute for Mathe- Lai-Sang Young study of random processes on ½- matics, Bonn, Germany; Steklov New York University, Courant Paul A. Fleury nite structures. Made contribu- Mathematical Institute, Moscow, Institute of Mathematical Sciences, Yale University, New Haven, CT tions in several areas of probabil- Russia New York, NY Dean of Engineering and Freder- ity theory: rates of convergence to Trustee Chair and Professor of Professor of Mathematics. Expert equilibrium in ½nite-state Markov ick William Beinecke Professor Mathematics; Scienti½c Member; in the theory of dynamical sys- of Engineering and Applied Phys- chains, Poisson approximations Professor. Solved many problems tems, particularly their ergodic in diverse contexts, probabilistic ics. Condensed matter physicist. in number theory and algebraic behavior. Explores the geometric Advanced the optical spectrosco- analysis of algorithms, and the geometry. Developed new tech- and statistical theories of chaotic analysis of coalescent processes. py of solids. Headed Sandia Na- niques in the theory of differen- dynamical systems, including mea- tional Laboratory and major de- tial equations and mathematical surements of dynamical complex- partments at Bell Laboratories. Leonard Gross physics. Recent research focuses ity, and the cumulative effects of Cornell University, Ithaca, NY on quantum cohomology and small random perturbations on Steven M. Girvin Professor of Mathematics. Contri- noncommutative geometry. the long-term behavior of dynam- Yale University, New Haven, CT buted to the interface between ical systems. mathematics and physics. De- Donald Anthony Martin Professor of Physics and Applied vised the rigorous framework for University of California, Yves Colin de Verdiere (fhm) Physics. Condensed matter theo- white noise analysis that is used Los Angeles, CA Université Joseph Fourier, rist with interests in many-body throughout probability and its ap- Grenoble, France problems, quantum phase transi- Professor of Mathematics and tions, low-dimensional systems, plications. Created and explored Philosophy. Leader in the devel- Professor of Mathematics. Ad- logarithmic Sobolev inequalities atomic physics, and quantum opment of axiomatic set theory. vanced spectral theory, semi- computation. Known for work and their relations to hypercon- Derived, with others, a de½nabil- classical analysis, and the combi- tractivity, tools now applied far on the quantum Hall effect, the ity theory for the continuum from natorics of graphs. Worked on superconductor-insulator transi- from their origins in constructive game-theoretic determinacy hy- the spectral theory of Laplace op- ½eld theories. tion, and the quantum mechan- potheses. Wrote proofs for stan- erators, providing the ½rst rigor- ics of electrical circuits. dard set theory of Borel determi- ous proof that the length spectrum Anatole Katok nacy and projective determinacy of a Riemannian manifold is a Jeffrey A. Harvey Pennsylvania State University, from large cardinals. Motivated spectral invariant of the Laplace University Park, PA and contributed to work on the as- operator. Proved fundamental University of Chicago, Chicago, IL Raymond N. Shibley Professor of sociated philosophical problems. theorems in the spectral theory Enrico Fermi Distinguished Ser- Mathematics. Leading researcher of graphs. vice Professor and Chair, Depart- in ergodic theory and theory of Gang Tian ment of Physics. Codiscoverer of dynamical systems. Shaped the Massachusetts Institute of Section 2: Physics the heterotic string, a milestone subject through work on dynam- Technology, Cambridge, MA in the quest for a uni½ed theory ics of billiards, construction of of the laws of nature. Brought Simons Professor of Mathematics. Guenter Ahlers clarity to the nature of and inter- ergodic transformation, and geo- Authority in the ½eld of differen- desic flows. Provided the basis for University of California, relations among string theories tial geometry and complex analy- Santa Barbara, CA through work on compacti½ca- this area of research with work sis, with contributions to Kähler- Professor of Physics. Experimen- tion, notably on orbifolds, and on the rigidity of commuting flow Einstein metrics, geometric equa- talist whose contributions include by elucidating the role of string actions. tions, and quantum cohomology. the elucidation of critical phenom- solitons and instantons. Recipient of the Alan Waterman ena near the superfluid transition Fang-Hua Lin Award (National Science Founda- in liquid helium-4 and near mag- Alfred H. Mueller New York University, Courant tion) and the Veblen Prize (Amer- netic phase transitions; the ½rst Institute of Mathematical Sciences, ican Mathematical Society). Columbia University, New York, NY experimental observation of cha- New York, NY Professor of Physics. Led the study otic behavior in a deterministic Silver Professor of Mathematics. Nolan R. Wallach of high-energy quantum chromo- system; and the analysis of pat- dynamics (qcd). Developed con- Solved many problems originat- University of California, terns in spatially extended non- qcd ing in physics or geometry and San Diego, CA cepts and techniques in that equilibrium systems. permitted precise quantitative pre- leading to nonlinear elliptic par- Professor of Mathematics. Con- tial differential equations. Played dictions and experimental tests, tributed to the harmonic analy- thereby helping to establish qcd 24 Bulletin of the American Academy Winter 2005 as the theory of the strong inter- electronic states in these quan- ods in classical and quantum sta- two international institutes and actions. Recipient of the Sakurai tum dots and established single tistical mechanics that elucidate chairs strategic panels for the nrc, Prize (American Physical Society). quantum dot spectroscopy. Dem- the origin of experimental obser- nasa, and esa. Has advocated onstrated applications of these vations. for the scienti½c productivity of Lisa Randall quantum dots ranging from stim- the Hubble Space Telescope. Harvard University, Cambridge, MA ulated emission and lasing, elec- Henry Frederick (Fritz) troluminescence, and biomedical III Professor of Physics. Particle the- Schaefer Charles L. Bennett imaging. orist whose work on the effect of University of Georgia, Athens, GA NASA Goddard Space Flight Center, the geometry of extra dimensions Greenbelt, MD Peter Beak Graham Perdue Professor of on the hierarchy puzzle influenced Chemistry; Director, Center for Senior Scientist for Experimen- thinking about particle physics, University of Illinois at Urbana- Computational Quantum Chem- tal Cosmology. As pi for nasa’s space, and gravity and brought Champaign, Urbana, IL istry. Applied methods of quan- Wilkinson Microwave Anisotropy phenomenology and string theo- James R. Eiszner Endowed Chair tum chemistry to solve problems Probe, led the team that mapped ry closer together. Contributed in Chemistry. Made discoveries of interest to general chemists. the cosmic microwave back- to supersymmetry breaking and and provided unifying concepts Predicted the structure of methy- ground sky, determined the age the Standard Model. in organic chemistry. Established lene. Current research focuses on of the universe, the cosmological thermodynamic differences for a the silicon-carbon double bond. constant, the dark and baryonic Vladimir Borisovich number of isomeric systems. Has matter, and the Hubble constant. nasa Braginsky (fhm) been influential in the design and Richard Palmer Van Duyne On earlier Cosmic Back- execution of synthetic strategies. ground Explorer, measured the Moscow State University, Northwestern University, cosmic spectrum and discovered Moscow, Russia Evanston, IL Malcolm Harold Chisholm temperature variations. Professor of Physics. Formulated Charles E. and Emma H. Morri- Ohio State University, Columbus, OH the concept of standard quantum son Professor of Chemistry. Ac- Claude R. Canizares limits on high-precision measure- Distinguished Professor of Math- complishments include the dis- ments that use conventional tech- ematical and Physical Sciences. covery, development, and appli- Massachusetts Institute of niques, and invented quantum Made contributions to the devel- cation of surface-enhanced Raman Technology, Cambridge, MA nondemolition
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