Faculty and their Research Areas
Logic & Foundations | |
Carlson, Timothy info |
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 |
Foundations of mathematics. |
Miller, Christopher info |
Model theory and its applications to analytic geometry and geometric measure theory. Logic. |
Algebra | |
Herzog, Ivo info |
Representation Theory. Ring Theory. Model Theory. |
Loper, Kenneth info |
Commutative rings. |
Rizvi, Syed Tariq info |
Theory of Rings and Modules. Injective/projective modules and their various generalizations. Baer Modules and Rings. Rickart Modules. Structure of Rings. |
Shapiro, Daniel info |
Quadratic forms. |
Number Theory | |
Cogdell, James info |
Analytic Number theory. L-functions. Functoriality. Converese Theorems. |
Goss, David info |
Number Theory, Function Fields |
Holowinsky, Roman info |
(Analytic Number Theory |
Luo, Wenzhi info |
Number theory. Analytic and arithmetic theory of automorphic forms and automorphic L-functions. |
Sinnott, Warren info |
P-adic L-functions. Cyclotomic fields. Iwasawa theory. Algebraic Number Theory. |
Algebraic Geometry | |
Ban, Chunsheng info |
Singularity Theory. Algebraic Geometry. |
Castravet, Ana-Maria info |
Birational geometry, moduli spaces, rational curves, related arithmetic aspects, Mori Dream spaces. Algebraic Geometry. |
Clemens, Herb info |
Algebraic cycles. Hodge theory . Geometry and deformation theory of complex projective varieties . Algebraic Geometry. |
Joshua, Roy info |
Singular Varieties. K-Theory. Algebraic Geometry. |
Kennedy, Gary info |
Algebraic Geometry. Quantum cohomology. Intersection theory. Enumerative geometry. |
Macri, Emanuele info |
Algebraic Geometry. K3-surfaces. Stability conditions. |
Tseng, Hsian-Hua info |
Algebraic Geometry, Symplectic Topology, Symplectic Geometry |
Topology | |
Broaddus, Nathan info broaddus@math.ohio-state.edu 614-292-0605 |
Topology, Mapping Class Groups, Geometric Group Theory, Low-dim Topology. |
Burghelea, Dan info |
Topology. Geometry . Analysis. |
Chatterji, Indira info |
Geometric group theory. Noncompact groups, metric spaces. |
Davis, Michael info |
Geometric group theory, aspherical manifolds and spaces, nonpositive curvature. Topology. |
Fiedorowicz, Zbigniew info |
Topology. Algebraic topology, algebraic K-theory, quantum groups, category theory. |
Kerler, Thomas info |
Topology. Algebra. 3-dim Manifolds, Topological Quantum Field Theories, Representations of Mapping Class Groups. |
Lafont, Jean-Francois info |
Topology. K-Theory. Geometric Group Theory. Differential Geometry. |
Leary, Ian info |
Topology. Cohomology of groups. |
Ogle, Crichton info |
Topology. K-Theory |
Differential Geometry & Geometric Analysis | |
Derdzinski, Andrzej info |
Differential Geometry. |
Guan, Bo info |
Geometric analysis . Partial Differential Equations. |
Zheng, Fangyang info |
Kaehler and Hermitian geometry, nonpositively curved manifolds, rigidity, submanifolds. . Differential Geometry. |
Combinatorics & Group Theory | |
Kahle, Matthew info |
Combinatorics. Interactions of topology and geometry with probability, statistical mechanics, and combinatorics |
Milne, Stephen info |
Algebraic combinatorics, elliptic functions, continued fractions, and multiple basic hypergeometric series, generalized Macdonald identities,sums of squares. |
Robertson, Neil info |
Graph Theory, Ordering, colorings and graph-related matroid theory. Graph structure theory pertaining to connectivity, surface embeddings, tree-structure. |
Seress, Akos info |
Group Theory. Combinatorics. Algorithms for computing with finite groups, Cayley graphs, extremal graph theory, extremal set theory. |
Solomon, Ronald info |
Theory of finite groups. Structure and representation theory of finite groups and finite-dim. algebras; geometries associated with groups. |
Analysis | |
Costin, Ovidiu info |
Analysis. Asymptotics, Borel summability, Analyzable functions, Applications to PDE and difference equations, Time dependent Schrödinger equation. Surreal numbers. |
Costin, Rodica info |
Analysis. Differential Equations. Asymptotic analysis. Difference Equations. Orthorgonal Polynomials. |
Nevai, Paul info |
Analysis. Orthogonal polynomials, approximation theory. |
Mityagin, Boris info |
Functional analysis. Spectral Theory. Schrödinger operators. |
Stan, Aurel info |
Functional analysis. Stochastic Analysis. Quatum Probability. |
Complex Analysis | |
Koenig, Kenneth info |
Several Complex Variables. |
McNeal, Jeffery info |
Several complex variables. |
Partial Differential Equations | |
Friedman, Avner info |
Partial Differential Equations. |
Keyfitz, Barbara info |
Partial Differential Equations. |
Tanveer, Saleh info |
PDEs in the complex plane . Nonlinear Free boundary problems in Fluid Mechanics and Crystal Growth . E. Applied Mathematics. |
Tian, Fei-Ran info |
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 |
Mathematical Biology, Dynamical Systems. Applied Mathematics. |
Chou, Ching-Shan info |
Mathematical Biology, Numerical Analysis |
Golubitsky, Martin info |
Mathematical Biology, Dynamical Systems, Director MBI |
Lou, Yuan info |
Nonlinear elliptic and parabolic systems;. Applications in population biology. Partial Differential Equations. |
Terman, David info |
Mathematical Biology, Dynamical Systems, Computational Neuroscience. Differential Equations. Applied Mathematics. |
Tien, Joseph info |
Mathematical Biology. Modeling infectious disease dynamics |
Xue, Chuan info |
Mathematical Biology,Multiscale modeling, analysis and computation Wound healing, cell motility, angiogenesis, pattern formation Stochastic simulation algorithms |
Numerical Analysis | |
Baker, Gregory info |
Scientific computation, computational fluid dynanmics. Numerical Analysis. |
Kao, Chiu-Yen info |
Applied Mathematics. |
Overman, Edward info |
Applied mathematics. Numerical analysis, scientific computing, dynamical systems, chaos. |
Probability Theory | |
Falkner, Neil info |
Probability Theory. |
March, Peter info |
Probability Theory. Applied probability. Measure-valued diffusion. Brownian motion on manifolds. |
Pittel, Boris info |
Analysis of combinatorial algorithms. |
Ergodic Theory | |
Bergelson, Vitaly info |
Ergodic Theory, Combinatorics. |
Leibman, Alexander info |
Ergodic Theory. |
Shah, Nimish info |
Ergodic Theory. Dynamics on homogeneous spaces. |
Mathematical Physics | |
Dynin, Alexander info |
PDEs. Applied mathematics. Mathematical Physics, Functional Analysis, Global Analysis, Quantum field theory . |
Gerlach, Ulrich info |
Mathematical Physics. General relativity, quantum theory in curved spacetime, gravitation via quantum mechanics, astrophysics: gravitational radiation. |
Kodama, Yuji info |
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 |
Representation Theory of Real Semisimple Lie Groups, Integrable Systems. Representation Theory. |
Flicker, Yuval info |
Representation Theory. Number Theory. Arithmetic Groups. Trace formulas. Orbital integrals. Automorphic forms. |
Moscovici, Henri info |
Noncommutative geometry and applications to geometry, topology and number theory. . |
Stanton, Robert info |
Harmonic Analysis on Lie Groups. |