# Education

Ph.D Candidate in Applied and Interdisciplinary Mathematics

University of Michigan (September 2011 - present)

B.S. in Mathematics and Biophysics

The College of William and Mary (August 2007 - May 2011)

# Publications

Johnson, C.R., Walch, O., "Critical Exponents: Old and new."
*Electronic Journal of Linear Algebra*. (2012) http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol25_pp72-83.pdf
Johnson, C.R., Walch, O., "Commuting pairs of patterns and symmetric realizations."
*Electronic Journal of Linear Algebra*. (2012) http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol25_pp84-91.pdf
Johnson, C.R., Lins, B., Walch, O., "The critical exponent for continuous conventional powers of doubly nonnegative matrices."
*Linear Algebra and its Applications*. (2010)

http://arxiv.org/abs/1008.3568
Johnson, C.R. and Marijuan, C. and Pisonero, M. and Walch, O., "Monomial Inequalities for Newton Coefficients and Determinantal Inequalities for p-Newton Matrices"
in *Notions of Positivity and the Geometry of Polynomials.* Edited by Branden, P. and Passare, M. and Putinar, M. (2011)

at Springer

# Selected Honors

- National Science Foundation Graduate Fellowship
- William & Mary Mathematics Department Luther T. Conner Prize
- Phi Beta Kappa, Alpha Chapter
- William and Mary 1693 (Murray) Scholar