## Applied Mathematics

### Field Description

The graduate program in applied mathematics is based on a solid foundation in pure mathematics, which includes the fundamentals of algebra and analysis. It involves a grounding in the methods of applied mathematics and studies of scientific areas in which significant applications of mathematics are made. The field has a broadly based interdepartmental faculty that can direct student programs in a large number of areas of the mathematical sciences.

Many specialized or interdisciplinary programs can be designed for individual students, including, for example, a variety of possibilities in biomathematics.

The dissertation is normally a mathematical contribution toward the solution of a problem arising outside mathematics.

Students who are interested in this field may also want to investigate the related fields listed under Mathematical Sciences in "Opportunities for Study," pages 7-8.

### Contact Information

Email: appliedmath@cornell.edu

Phone: 607 255-0986

614 Frank H. T. Rhodes Hall

Cornell University

Ithaca, NY 14853-3801

### Subject and Degrees

**Applied Mathematics (Ph.D.)***(Ithaca)*

### Concentrations by Subject

#### Applied Mathematics

- applied mathematics

### Faculty

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**stochastic modeling and the design of scalable algorithms and incentive mechanisms for large systems; marketing and social computing, control of information flows, learning and recommendation

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**algebraic combinatorics; discrete geometry

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**numerical linear algebra; microelectromechanical systems; network tomography; finite element analysis; numerical software design

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*Applied Mathematics:*applied mathematics

**Research Interests:**markov processes; networks; market selection

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*Applied Mathematics:*applied mathematics

**Research Interests:**parallel numerical methods; matrix-based signal and image processing

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**model selection and averaging (aggregation) in a variety of high dimensional parametric, semi-parametric and nonparametric models, machine learning and empirical processes theory

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*Applied Mathematics:*applied mathematics

**Research Interests:**computational fluid dynamics; aerodynamics

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*Applied Mathematics:*applied mathematics

**Research Interests:**optimization, statistics, information theory, computation, machine learning

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**nonlinear circuits and systems; power systems; artificial neural networks

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**geometry of discrete structures; configuration spaces; topology

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**theory of computing; applied logic; automated reasoning

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**numerical linear algebra; computational quantum chemistry; spectral clustering and fast algorithms

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**continuous optimization; variational analysis; operator-splitting; machine learning; large-scale computing

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**dynamical systems; control theory; stochastic systems; cognitive science

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**turbulence; environmental and computational fluid mechanics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**computational solid mechanics; stochastic inverse problems

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**economics of information; learning from endogenous data; market microstructure; evolution in games and markets

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**theoretical population biology; evolutionary biology

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**crystallography; quasicrystals; quasiperiodic minimal surfaces

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**theoretical chemistry; chemical physics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**optimal control theory; intelligent systems; multivariable control; feedback control of dynamic systems; sensor networks

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**probability optimization; information theory; mathematical biology

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**quantum field theory; digital knowledge networks

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**large-scale constraint reasoning and optimization; mathematical programming; machine learning

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**diffusion processes, Monte Carlo simulation; non-Gaussian random functions; probabilistic models

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**analysis over infinite dimensional manifolds

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**dynamical systems; differential equations; mathematical biology

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**reasoning about knowledge and uncertainty; qualitative reasoning; (fault-tolerant) distributed computing logic; game theory

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**nonlinear elasticity; nonlinear analysis; equivariant bifurcation theory

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**discrete-event simulation; simulation and optimization; applications in radiation oncology

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**econometric theory; economics of China

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**robust geometric algorithms; modeling and simulation; and information capture and access

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**ordinary differential equations; iterations; fractals

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**fracture mechanics; high-temperature crack propagation; geomechanics; asymptotic methods

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**mathematical finance

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**data-driven optimization under uncertainty; casual inference; machine learning; personalization; optimization in statistics; online decision making and operations in health care

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**physical modeling of semiconductor devices and processes; numerical solvers for hybrid systems (EM, mechanical, and thermal)

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**algorithms; combinatorial optimization; computational geometry; computational biology

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**design and analysis of algorithms, especially randomized and online algorithms for networked systems and electronic markets

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**fluid dynamics; stochastic processes in suspensions

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**theory of computation; computational complexity; program logic and semantics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**stochastic optimization; partially observed Markov decision processes; stochastic filtering theory

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**fluid dynamics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**ecology, epidemiology, and evolutionary theory; mathematical biology

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**variational analysis and nonsmooth optimization with particular interest in eigenvalue optimization

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**chemical applications of equilibrium and nonequilibrium statistical mechanics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**mathematical economics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**quantitative genetics/genomics; statistical genetics; computational biology; pathway modeling; molecular evolution

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**Andrea is a second year Assistant Professor in ORIE. She works in mathematical finance, in non-traditional directions. Her works deals with aspects of finance related to optimal control, queuing theory, interacting particle systems, etc.

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**economic growth; infinite horizon dynamic optimization; chaotic dynamical systems

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**econometrics both theoretical and applied; theoretical work is in partial identification and in the study of how random set theory can be useful in this context; emperical work is concerned with estimation of risk preferences

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**systems biology; complex systems; computational science

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**logic; recursive functions and computability; theoretical computer science; hybrid systems

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**cryptography and its interplay with computational complexity; game theory

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**nonstationary queues; nonstationary markov processes; financial engineering

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**large-scale simulations of reactive gas-solid flows with application to biomass thermochemical conversion to biofuels

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**probability models of the failure of materials

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**turbulence; combustion; computational fluid mechanics; stochastic processes

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**differential equations; dynamical systems; biomechanics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**complexity of algorithms; mathematical programming

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**applied probability; extreme values; data network modeling; heavy tails and long range dependence

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**analysis; potential theory; stochastic processes

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**applied probability; stable processes; long-range dependence; communication networks; financial models; risk theory

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**numerical analysis; partial differential equations

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**artificial intelligence and experimental computer science

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**theoretical condensed-matter physics; materials science; spatially extended dynamical systems

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**algorithms for perturbative protein folding and dynamics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**economic theory; mathematical economics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**analysis of algorithms; combinatorial optimization; approximation algorithms; computational biology

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**large-scale 3D reconstruction from 2D images; analysis of large graphs derived from massive image collections

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**machine learning, statistical learning theory, online learning, optimization, empirical process theory, concentration inequalities, game theory

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**risk analysis; stochastic hydrology; water resource systems

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**hydrodynamic stability; nonlinear fluid dynamics

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**algebraic geometry; computational algebra and algebraic geometry; commutative algebra

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**nonlinear dynamics; applications to physics, engineering, and biology

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**communication networks; control and dynamical systems optimization; game theory and applications; stochastic processes and networks

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**design and analysis of algorithms, with emphasis on problems in combinatorial optimization and their applications to various problems

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**continuous optimization; interior-point methods; mathematical programming

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**statistical signal processing; communication systems and networking; adaptive receiver design-estimation theory

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**stochastic programming; approximate dynamic programming; stochastic approximation algorithms

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**Numerical analysis, scientific computer, numerical algebraic geometry

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**convex and non-convex optimization; large scale and machine learning applications

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**applied mathematics; numerical methods; dynamic systems; nonlinear PDEs; control theory

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**information theory; communication and compression; networking; computational linguistics; security

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**fluids in physics and biology; biomathematics; statistical physics; scientific computing and modeling

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**Classification, Copula Modeling, Learning Theory, Empirical Process Theory, Matrix Estimation and Completion, Model Selection and Aggregation, Nonparametric estimation

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**wireless information networks; digital communication systems; error control coding

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**combinatorial optimization; approximation algorithms; information networks

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**machine learning

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**life history theory; models of dispersal

**Concentrations:**

*Applied Mathematics:*applied mathematics

**Research Interests:**signal and image processing; optimization; algorithms

**Concentrations:**

*Applied Mathematics:*applied mathematics