Logic & Foundations | |
Carlson, Timothy info [2] |
Set theoretic issues in analysis. Proof theoretic analysis of subsystems of set theory. Logics of computation . Inner model theory. Ramsey theory . Logic. Foundations of Mathematics. |
Friedman, Harvey info [4] |
Foundations of mathematics. |
Miller, Christopher info [6] |
Model theory and its applications to analytic geometry and geometric measure theory. Logic. |
Algebra | |
Herzog, Ivo info [8] |
Representation Theory. Ring Theory. Model Theory. |
Loper, Kenneth info [10] |
Commutative rings. |
Rizvi, Syed Tariq info [12] |
Theory of Rings and Modules. Injective/projective modules and their various generalizations. Baer Modules and Rings. Rickart Modules. Structure of Rings. |
Shapiro, Daniel info [14] |
Quadratic forms. |
Number Theory | |
Cogdell, James info [16] |
Analytic Number theory. L-functions. Functoriality. Converese Theorems. |
Goss, David info [18] |
Number Theory, Function Fields |
Holowinsky, Roman info [20] |
(Analytic Number Theory |
Luo, Wenzhi info [22] |
Number theory. Analytic and arithmetic theory of automorphic forms and automorphic L-functions. |
Sinnott, Warren info [24] |
P-adic L-functions. Cyclotomic fields. Iwasawa theory. Algebraic Number Theory. |
Algebraic Geometry | |
Ban, Chunsheng info [26] |
Singularity Theory. Algebraic Geometry. |
Castravet, Ana-Maria info [28] |
Birational geometry, moduli spaces, rational curves, related arithmetic aspects, Mori Dream spaces. Algebraic Geometry. |
Clemens, Herb info [30] |
Algebraic cycles. Hodge theory . Geometry and deformation theory of complex projective varieties . Algebraic Geometry. |
Joshua, Roy info [32] |
Singular Varieties. K-Theory. Algebraic Geometry. |
Kennedy, Gary info [34] |
Algebraic Geometry. Quantum cohomology. Intersection theory. Enumerative geometry. |
Macri, Emanuele info [36] |
Algebraic Geometry. K3-surfaces. Stability conditions. |
Tseng, Hsian-Hua info [38] |
Algebraic Geometry, Symplectic Topology, Symplectic Geometry |
Topology | |
Broaddus, Nathan info [40] broaddus@math.ohio-state.edu [41] 614-292-0605 |
Topology, Mapping Class Groups, Geometric Group Theory, Low-dim Topology. |
Burghelea, Dan info [42] |
Topology. Geometry . Analysis. |
Chatterji, Indira info [44] |
Geometric group theory. Noncompact groups, metric spaces. |
Davis, Michael info [46] |
Geometric group theory, aspherical manifolds and spaces, nonpositive curvature. Topology. |
Fiedorowicz, Zbigniew info [48] |
Topology. Algebraic topology, algebraic K-theory, quantum groups, category theory. |
Kerler, Thomas info [50] |
Topology. Algebra. 3-dim Manifolds, Topological Quantum Field Theories, Representations of Mapping Class Groups. |
Lafont, Jean-Francois info [52] |
Topology. K-Theory. Geometric Group Theory. Differential Geometry. |
Leary, Ian info [54] |
Topology. Cohomology of groups. |
Ogle, Crichton info [56] |
Topology. K-Theory |
Differential Geometry & Geometric Analysis | |
Derdzinski, Andrzej info [58] |
Differential Geometry. |
Guan, Bo info [60] |
Geometric analysis . Partial Differential Equations. |
Zheng, Fangyang info [62] |
Kaehler and Hermitian geometry, nonpositively curved manifolds, rigidity, submanifolds. . Differential Geometry. |
Combinatorics & Group Theory | |
Kahle, Matthew info [64] |
Combinatorics. Interactions of topology and geometry with probability, statistical mechanics, and combinatorics |
Milne, Stephen info [66] |
Algebraic combinatorics, elliptic functions, continued fractions, and multiple basic hypergeometric series, generalized Macdonald identities,sums of squares. |
Robertson, Neil info [68] |
Graph Theory, Ordering, colorings and graph-related matroid theory. Graph structure theory pertaining to connectivity, surface embeddings, tree-structure. |
Seress, Akos info [70] |
Group Theory. Combinatorics. Algorithms for computing with finite groups, Cayley graphs, extremal graph theory, extremal set theory. |
Solomon, Ronald info [72] |
Theory of finite groups. Structure and representation theory of finite groups and finite-dim. algebras; geometries associated with groups. |
Analysis | |
Costin, Ovidiu info [74] |
Analysis. Asymptotics, Borel summability, Analyzable functions, Applications to PDE and difference equations, Time dependent Schrödinger equation. Surreal numbers. |
Costin, Rodica info [76] |
Analysis. Differential Equations. Asymptotic analysis. Difference Equations. Orthorgonal Polynomials. |
Nevai, Paul info [78] |
Analysis. Orthogonal polynomials, approximation theory. |
Mityagin, Boris info [80] |
Functional analysis. Spectral Theory. Schrödinger operators. |
Stan, Aurel info [82] |
Functional analysis. Stochastic Analysis. Quatum Probability. |
Complex Analysis | |
Koenig, Kenneth info [84] |
Several Complex Variables. |
McNeal, Jeffery info [86] |
Several complex variables. |
Partial Differential Equations | |
Friedman, Avner info [88] |
Partial Differential Equations. |
Keyfitz, Barbara info [90] |
Partial Differential Equations. |
Tanveer, Saleh info [92] |
PDEs in the complex plane . Nonlinear Free boundary problems in Fluid Mechanics and Crystal Growth . E. Applied Mathematics. |
Tian, Fei-Ran info [94] |
Zero dispersion or semi-classical limits, Whitham equations, modulation of dispersive oscillations, hyperbolic consevation laws, free boundary problems. Partial Differential Equations. |
Mathematical Biology | |
Best, Janet info [96] |
Mathematical Biology, Dynamical Systems. Applied Mathematics. |
Chou, Ching-Shan info [98] |
Mathematical Biology, Numerical Analysis |
Golubitsky, Martin info [100] |
Mathematical Biology, Dynamical Systems, Director MBI |
Lou, Yuan info [102] |
Nonlinear elliptic and parabolic systems;. Applications in population biology. Partial Differential Equations. |
Terman, David info [104] |
Mathematical Biology, Dynamical Systems, Computational Neuroscience. Differential Equations. Applied Mathematics. |
Tien, Joseph info [106] |
Mathematical Biology. Modeling infectious disease dynamics |
Xue, Chuan info [108] |
Mathematical Biology,Multiscale modeling, analysis and computation Wound healing, cell motility, angiogenesis, pattern formation Stochastic simulation algorithms |
Numerical Analysis | |
Baker, Gregory info [110] |
Scientific computation, computational fluid dynanmics. Numerical Analysis. |
Kao, Chiu-Yen info [112] |
Applied Mathematics. |
Overman, Edward info [114] |
Applied mathematics. Numerical analysis, scientific computing, dynamical systems, chaos. |
Probability Theory | |
Falkner, Neil info [116] |
Probability Theory. |
March, Peter info [118] |
Probability Theory. Applied probability. Measure-valued diffusion. Brownian motion on manifolds. |
Pittel, Boris info [120] |
Analysis of combinatorial algorithms. |
Ergodic Theory | |
Bergelson, Vitaly info [122] |
Ergodic Theory, Combinatorics. |
Leibman, Alexander info [124] |
Ergodic Theory. |
Shah, Nimish info [126] |
Ergodic Theory. Dynamics on homogeneous spaces. |
Mathematical Physics | |
Dynin, Alexander info [128] |
PDEs. Applied mathematics. Mathematical Physics, Functional Analysis, Global Analysis, Quantum field theory . |
Gerlach, Ulrich info [130] |
Mathematical Physics. General relativity, quantum theory in curved spacetime, gravitation via quantum mechanics, astrophysics: gravitational radiation. |
Kodama, Yuji info [132] |
Mathematical Physics. Integrable systems and related topics including nonlinear PDEs, finite and infinite dimension. Lie algbras, classical and quantum field theories, and applications. |
Harmonic Analysis , Representation Theory, Non-Commutative Geometry | |
Casian, Luis info [134] |
Representation Theory of Real Semisimple Lie Groups, Integrable Systems. Representation Theory. |
Flicker, Yuval info [136] |
Representation Theory. Number Theory. Arithmetic Groups. Trace formulas. Orbital integrals. Automorphic forms. |
Moscovici, Henri info [138] |
Noncommutative geometry and applications to geometry, topology and number theory. . |
Stanton, Robert info [140] |
Harmonic Analysis on Lie Groups. |