Just a picture of Rhodes Hall.

  


Welcome to CAM!

The Center for Applied Mathematics (CAM) administers the graduate Field of Applied Mathematics. Graduate education is a vital function at Cornell University. From the student's point of view, the Applied Mathematics graduate program offers not only the opportunity to work at a major university, but flexibility and accommodation to individual needs and interests. Applied Mathematics is one of the most diverse graduate fields; the range of possibilities of graduate research encompasses the areas of specialization of all the faculty members in the field, who currently number more than eighty. As a Cornell graduate student in applied mathematics, you will find a culture of respect and trust and a collegial atmosphere in which to study and that encourages you to excel. To apply to our program, see details here.

Some CAM student work interests:

Coupled cell neural models for locomotion
My research involves modeling the neuronal networks in the rodent spinal cord that are responsible for generating the basic rhythmic patterns of walking, such as left-right limb alternation. The approach I use is to model the neurons and their synaptic connections as coupled cells of ODEs. Working with neurobiologists in the Harris-Warrick lab group, I'm working to develop models that accurately describe the biophysical properties of the real neurons and the architecture of the real network in the spinal cord. Analysis of these models should give insight into what features of the models' dynamics are due to the intrinsic properties of individual neurons and which ones arise from the network connectivity. To perform the analysis, we're developing new software and algorithms for numerical simulation and bifurcation analysis of coupled cell systems with multiple time scales.

  - Erik Sherwood

Data Communication in a Whale Network
Modeling mobile sensor networks mathematically allows us to study the dynamics of the systems as parameters vary, without many lengthy simulations. Through mathematical modeling, a network engineer can optimize the performance of the system without actually subjecting the network to complicated and time-consuming measurements and without disrupting the network operation.
My work involves the adjustment and extension of Epidemic Markov chains to mathematically model a network of animal tags injected into whales. These tags are generally rejected from the whales' bodies within a couple of months and cannot be recovered. We have developed an efficient strategy to retrieve the data collected on these tags: the Shared Wireless Infostation Model (SWIM).

  - Tara Small
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