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If your definition of pure math is "proving theorems", she can work in the following (math related to the following):

1). Control theory (this can mean doing dynamical systems, PDEs, etc): PhDs hired by several leading companies such as Ford, Bosch, Honda, United Technologies, Boeing, NASA

2). Information theory and networks : Internet companies

3). Optimization and/or nonlinear programming: PhDs hired by numerous companies

4). Communication theory: PhDs hired by communication giants

5). Stochastic geometry: Same as 4

6). Probability: Finance/banks/internet

I suggest looking at the top journals of each of these fields, it will give you an idea of how type of mathematics that goes on in there.

If your definition of pure math is "proving theorems", she can work in the following (math related to the following):

1). Control theory (this can mean doing dynamical systems, PDEs, etc): PhDs hired by several leading companies such as Ford, Bosch, Honda, United Technologies, Boeing, NASA

2). Information theory and networks : Internet companies

3). Optimization and/or nonlinear programming: PhDs hired by numerous companies

4). Communication theory: PhDs hired by communication giants

5). Stochastic geometry: Same as 4

6). Probability: Finance/banks/internet

I suggest looking at the top journals of each of these fields, it will give you an idea of the type of mathematics that goes on in there.

If your definition of pure math is "proving theorems", she can work in the following (math related to the following):

1). Control theory (this can mean doing dynamical systems, PDEs, etc): PhDs hired by several leading companies such as Ford, Bosch, Honda, United Technologies, Boeing, NASA

2). Information theory and networks : Internet companies

3). Optimization and/or nonlinear programming: PhDs hired by numerous companies

4). Communication theory: PhDs hired by communication giants

5). Stochastic geometry: Same as 4

6). Probability: Finance/banks/internet

If your definition of pure math is "proving theorems", she can work in the following (math related to the following):

1). Control theory (this can mean doing dynamical systems, PDEs, etc): PhDs hired by several leading companies such as Ford, Bosch, Honda, United Technologies, Boeing, NASA

2). Information theory and networks : Internet companies

3). Optimization and/or nonlinear programming: PhDs hired by numerous companies

4). Communication theory: PhDs hired by communication giants

5). Stochastic geometry: Same as 4

6). Probability: Finance/banks/internet

I suggest looking at the top journals of each of these fields, it will give you an idea of how type of mathematics that goes on in there.

If your definition of pure math is "proving theorems", she can work in the following (math related to the following):

1). Control theory (this can mean doing dynamical systems, PDEs, etc): PhDs hired by several leading companies such as Ford, Bosch, Honda, United Technologies

2). Information theory and networks : Internet companies

3). Optimization and/or nonlinear programming: PhDs hired by numerous companies

4). Communication theory: PhDs hired by communication giants

5). Stochastic geometry: Same as 4

6). Probability: Finance/banks/internet

If your definition of pure math is "proving theorems", she can work in the following (math related to the following):

1). Control theory (this can mean doing dynamical systems, PDEs, etc): PhDs hired by several leading companies such as Ford, Bosch, Honda, United Technologies, Boeing, NASA

2). Information theory and networks : Internet companies

3). Optimization and/or nonlinear programming: PhDs hired by numerous companies

4). Communication theory: PhDs hired by communication giants

5). Stochastic geometry: Same as 4

6). Probability: Finance/banks/internet