University of Illinois at Urbana-ChampaignDepartment of Mathematics
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Differential Equations and Applied Mathematics

Graduate Courses
The document Graduate Study in Applied Mathematics and Differential Equations outlines the general areas of applied mathematics and differential equations studied here and describes the advanced undergraduate and graduate courses that are offered regularly.
Faculty Members in Differential Equations and Applied Mathematics
Jared Bronski Applied mathematics.
Lee DeVille Stochastic analysis, differential equations, dynamical systems
Burak Erdogan Harmonic analysis on Euclidean spaces and PDEs
Robert Ghrist Topology (contact geometry/topology, Morse theory, braid theory), dynamics (flows, bifurcation theory, Conley index), and applications (fluids, robotics, computational topology).
Aimo Hinkkanen Painleve and other nonlinear differential equations and differential equations in the complex domain.
Dirk Hundertmark Analytic, probabilistic problems in math physics; eigenvalue moments for Schrodinger operators; spectral theory of random Schrodinger operators and statistical mechanics.
Ely Kerman Hamiltonian dynamics and symplectic topology
Eduard Kirr Existence and stability of coherent structures in equations from mathematical physics, their coupling with radiation under perturbations, theory and numerical simulation of waves in homogeneous and random media.
Richard Laugesen Differential equations, mathematical physics, and complex analysis; specialty - extremal problems.
Xiaochun Li Hilbert transform along the vector field; Multilinear oscillatory integrals; multilinear Carleson theorem
Joe Miles Differential equations in the complex domain.
Robert G. Muncaster Differential equations and invariant manifolds, bifurcation theory, theoretical mechanics, mathematical modeling of political and social phenomena.
Igor Nikolaev Non-linear Monge-Ampere PDEs, PDEs and Riemannian spaces.
Julian I. Palmore Dynamical systems, chaos theory, frameworks for analysis, stability, verification, validation and visualization of distributed interactive simulations
Nikolaos Tzirakis Harmonic Analysis and Dispersive Partial Differential Equations
Jang-Mei Wu p-Laplace Equation and Heat Equation.
Vadim Zharnitsky Differential equations and dynamical systems.
Postdocs in Differential Equations and Applied Mathematics
Prabhu Janakiraman Harmonic analysis, PDE, probability
Zoi Rapti Non-Linear PDE's, Mathematical Physics & Biology
Faculty Members in Related Areas
Maarten Bergvelt Completely integrable Hamiltonian systems, solitons.
Florin Boca Operator algebras, number theory, mathematical physics.
John P. D'Angelo Several complex variables, geometry.
Eugene Lerman Symplectic geometry, symmetric Hamiltonian systems.
Peter Loeb Non-standard analysis applied to ideal boundary theory in the study of elliptic and parabolic partial differential equations, probability theory, measure theory.
Bruce Reznick Combinatorial methods in analysis and algebra.
Joseph Rosenblatt Harmonic analysis, inverse problems, sampling.
Emeriti Faculty
Richard L. Bishop Differential geometry, Riemannian geometry and its application to analysis on manifolds.
Robert W. Carroll Partial differential equations, ordinary differential equations, mathmatical physics, soliton theory, inverse scattering, integrable systems.
Larry Dornhoff Applied modern algebra, computer-aided instruction.
Franz W. Kamber Differential geometry, differential topology, theory of foliations.
Ray G. Langebartel Stellar dynamics, special functions of mathematical physics, the determination of motions in galaxies, star clusters.
Lynn McLinden Nonlinear optimization, variational inequalities, nonlinear analysis, convex analysis and duality.
Philippe Tondeur Differential geometry and topology, foliations, partial differential equations.
Department of Mathematics
273 Altgeld Hall, MC-382
1409 W. Green Street, Urbana, IL 61801 USA
Telephone: (217) 333-3350    Fax: (217) 333-9576     Email: office@math.uiuc.edu