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.edu
Email: appliedmath@cornell.edu
Phone: 607 255-0986

614 Frank H. T. Rhodes Hall
Cornell University
Ithaca, NY 14853-3801

 

Data and Statistics

• Doctoral Program Statistics

Field Manual

• Manual

Subject and Degrees

Applied Mathematics

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

Concentrations by Subject

Applied Mathematics

• applied mathematics

Faculty

C. Lindsay Anderson

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

Siddhartha Banerjee

• 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

Sumanta Basu

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

David S. Bindel

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

Lawrence Edward Blume

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

Nikolaos Bouklas

• 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

Florentina Bunea

• 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

David Alan Caughey

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

Eshan Chattopadhyay

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

Hsiao-Dong Chiang

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

Robert Connelly

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

Jim Dai

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

Anil Damle

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

Damek Shea Davis

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

David Forbes Delchamps

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

Olivier Desjardins

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

Peter J. Diamessis

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

Christopher J. Earls

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

David Alan Easley

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

Omar El Housni

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

Stephen Paul Ellner

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

Veit Elser

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

Mahdi Esmaily Moghadam

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

Gregory Simon Ezra

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

Silvia Ferrari

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

Peter Frazier

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

Paul H. Ginsparg

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

David Alan Goldberg

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

Ziv Goldfeld

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

Carla P Gomes

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

Mircea Dan Grigoriu

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

Giulia Guidi

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

Joseph Yehuda Halpern

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

Bharath Hariharan

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

Timothy James Healey

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

Shane G. Henderson

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

John Hamal Hubbard

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

Chung-Yuen Hui

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

Robert Alan Jarrow

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

Nathan Kallus

• 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

Edwin Chihchuan Kan

• 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)

Jaehee Kim

• 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

Jon M Kleinberg

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

Robert D. Kleinberg

• 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

Donald L Koch

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

Dexter Campbell Kozen

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

Vikram Krishnamurthy

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

Simon Asher Levin

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

Adrian Lewis

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

Mark E. Lewis

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

Roger F Loring

• Campus: Ithaca
• Concentrations: Applied Mathematics: applied mathematics
• Research Interests: chemical applications of equilibrium and nonequilibrium statistical mechanics

David Matteson

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

Jason G. Mezey

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

Andreea Minca

• 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.

Francesca Molinari

• 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

Christopher R. Myers

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

Anil Nerode

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

Francesca Parise

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

Pierre Patie

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

Jamol J. Pender

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

Perrine Pepiot

• 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

Richard Herbert Rand

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

James Renegar

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

Laurent Pascal Saloff-Coste

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

Samitha Samaranayake

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

Gennady Samorodnitsky

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

Dmitry Savransky

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

Katya Scheinberg

• 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

Bart Selman

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

James Patarasp Sethna

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

David B Shmoys

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

Alexandra Silva

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

Keith N. Snavely

• 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

Sadaf Sobhani

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

Philippe Sosoe

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

Karthik Sridharan

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

Noah Stephens-Davidowitz

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

Michael Eugene Stillman

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

Steven H Strogatz

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

Ao Tang

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

Eva Tardos

• 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

Lang Tong

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

Huseyin Topaloglu

• Campus: Ithaca
• Concentrations: Applied Mathematics: applied mathematics
• Research Interests: stochastic programming; approximate dynamic programming; stochastic approximation algorithms

Alex John Townsend

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

Alexander B. Vladimirsky

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

Aaron B. Wagner

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

Zheng Jane Wang

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

Marten Wegkamp

• 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

Stephen B Wicker

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

David Paul Williamson

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

Fengqi You

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

Christina Lee Yu

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

Ramin Zabih

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

Qing Zhao

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