# 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

Website: http://www.cam.cornell.eduEmail: appliedmath@cornell.edu

Phone: 607 255-0986

614 Frank H. T. Rhodes Hall

Cornell University

Ithaca, NY 14853-3801

## Data and Statistics

## Field Manual

## Subject and Degrees

### Applied Mathematics

## Concentrations by Subject

### Applied Mathematics

- applied mathematics

## Faculty

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**application of systems modeling and optimization to energy and the environment

**Campus:**Ithaca**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

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**numerical linear algebra; microelectromechanical systems; network tomography; finite element analysis; numerical software design

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**markov processes; networks; market selection

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**theoretical and computational solid mechanics, soft materials, active materials and biomaterials, fracture and instabilities, multiscale modeling in coupled, multi-physical systems

**Campus:**Ithaca**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

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**computational fluid dynamics; aerodynamics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**computational complexity theory, pseudorandomness, cryptography, combinatorics, probability

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**nonlinear circuits and systems; power systems; artificial neural networks

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**geometry of discrete structures; configuration spaces; topology

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**numerical linear algebra; computational quantum chemistry; spectral clustering and fast algorithms

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**continuous optimization; variational analysis; operator-splitting; machine learning; large-scale computing

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**machine learning, data-driven control and decision-making, physical and social dynamics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**dynamical systems; control theory; stochastic systems; cognitive science

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**turbulence; environmental and computational fluid mechanics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**Causal inference, reinforcement learning, statistical machine learning with applications to healthcare

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**computational solid mechanics; stochastic inverse problems

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**economics of information; learning from endogenous data; market microstructure; evolution in games and markets

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**Dynamic optimization under uncertainty, Robust and stochastic optimization, Approximation algorithms

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**theoretical population biology; evolutionary biology

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**crystallography; quasicrystals; quasiperiodic minimal surfaces

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**cardiovascular mechanics and biological flows, development of computational techniques for such problems

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**theoretical chemistry; chemical physics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**optimal control theory; intelligent systems; multivariable control; feedback control of dynamic systems; sensor networks

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**probability optimization; information theory; mathematical biology

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**precision health, approximation algorithms, applied probability and statistics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**quantum field theory; digital knowledge networks

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**applied probability and scholastic processes, inventory models, queueing theory, options pricing and optimal stopping

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**statistical machine learning, information theory, optimal transport, high-dimensional and nonparametric statistics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**large-scale constraint reasoning and optimization; mathematical programming; machine learning

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**diffusion processes, Monte Carlo simulation; non-Gaussian random functions; probabilistic models

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**combinatorial scientific computing, sparse linear algebra, parallel and distributed scientific computation, and parallel systems

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**reasoning about knowledge and uncertainty; qualitative reasoning; (fault-tolerant) distributed computing logic; game theory

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**statistics and machine learning, artificial intelligence

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**nonlinear elasticity; nonlinear analysis; equivariant bifurcation theory

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**discrete-event simulation; simulation and optimization; applications in radiation oncology

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**ordinary differential equations; iterations; fractals

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**fracture mechanics; high-temperature crack propagation; geomechanics; asymptotic methods

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**mathematical finance

**Campus:**Ithaca**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

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**physical modeling of semiconductor devices and processes; numerical solvers for hybrid systems (EM, mechanical, and thermal)

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**mathematical biology, probability and stochastic processes, statistics and data science, dynamical systems and ordinary differential equations, scientific computing and numerical analysis

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**algorithms; combinatorial optimization; computational geometry; computational biology

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**design and analysis of algorithms, especially randomized and online algorithms for networked systems and electronic markets

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**fluid dynamics; stochastic processes in suspensions

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**theory of computation; computational complexity; program logic and semantics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**stochastic optimization; partially observed Markov decision processes; stochastic filtering theory

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**ecology, epidemiology, and evolutionary theory; mathematical biology

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**variational analysis and nonsmooth optimization with particular interest in eigenvalue optimization

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**Data-driven control and decision-making, decentralized optimal control, stochastic resource allocation, and learning-based control in cyber-physical systems.

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**computer graphics, 3D computer vision, realistic rendering and simulation, light scattering and light transport, inverse rendering and inverse light transport, appearance of hair, skin, and cloth, computational design of textiles

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**quantitative genetics/genomics; statistical genetics; computational biology; pathway modeling; molecular evolution

**Campus:**Ithaca**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.

**Campus:**Ithaca**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; empirical work is concerned with estimation of risk preferences

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**systems biology; complex systems; computational science

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**logic; recursive functions and computability; theoretical computer science; hybrid systems

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**Complex Systems, Network Science and Computation, Systems and Networking

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**nonstationary queues; nonstationary markov processes; financial engineering

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**large-scale simulations of reactive gas-solid flows with application to biomass thermochemical conversion to biofuels

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**differential equations; dynamical systems; biomechanics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**complexity of algorithms; mathematical programming

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**analysis; potential theory; stochastic processes

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**applied probability; stable processes; long-range dependence; communication networks; financial models; risk theory

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**practical algorithms and their theoretical analysis in continuous optimization, convex and derivative free optimization, machine learning, quadratic programming

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**Applied Probability, Queueing theory, Online decision-making, Scheduling

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**artificial intelligence and experimental computer science

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**theoretical condensed-matter physics; materials science; spatially extended dynamical systems

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**Low-complexity and robust decision-making, Optimization, Machine Learning, and Optimal Transport

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**analysis of algorithms; combinatorial optimization; approximation algorithms; computational biology

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**category theory, logic, semantics, and verification

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**large-scale 3D reconstruction from 2D images; analysis of large graphs derived from massive image collections

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**computational fluid dynamics, topology optimization in thermal/fluidic systems

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**probability, analysis, mathematical physics

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**machine learning, statistical learning theory, online learning, optimization, empirical process theory, concentration inequalities, game theory

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**Theoretical Computer Science, Security, Cryptography

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**algebraic geometry; computational algebra and algebraic geometry; commutative algebra

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**nonlinear dynamics; applications to physics, engineering, and biology

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**communication networks; control and dynamical systems optimization; game theory and applications; stochastic processes and networks

**Campus:**Ithaca**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

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**Computational Methods, Stochastic Methods, Mathematical Analysis.

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**statistical signal processing; communication systems and networking; adaptive receiver design-estimation theory

**Campus:**Cornell Tech (NYC)**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**stochastic programming; approximate dynamic programming; stochastic approximation algorithms

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**Numerical analysis, scientific computer, numerical algebraic geometry

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**applied mathematics; numerical methods; dynamic systems; nonlinear PDEs; control theory

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**information theory; communication and compression; networking; computational linguistics; security

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**fluids in physics and biology; biomathematics; statistical physics; scientific computing and modeling

**Campus:**Ithaca**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

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**wireless information networks; digital communication systems; error control coding

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**combinatorial optimization; approximation algorithms; information networks

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**Game theory, Multi-agent learning, Transportation

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**Numerical Analysis, Inverse Problems, Nonconvex Optimization, Optimal Transport, and Machine Learning

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**advanced computational models, optimization algorithms, statistical and machine learning methods, and systems analysis tools

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**scalable algorithms for processing social data based on principles from statistical inference

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics**Research Interests:**signal and image processing; optimization; algorithms

**Campus:**Ithaca**Concentrations:***Applied Mathematics:*applied mathematics