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Mathematics Articles (Published)

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Mathematics Articles (Unpublished)

  • Random Walk Model for Spontaneous Neural Firing. (EE 508, Autumn 2007)
  • Analysis of the Discrete Nagumo Equation. (Amath 504, Spring 2007)
  • Wavelet Methods for Differential Equations. (Stat 530, Spring 2006)
  • Hodgkin-Huxley Type Model of the Auditory Nerve. (Amath 422, Winter 2006)
  • The Dynamics of Knots and Links in Three-Dimensional Flows (Senior Thesis, Pomona College, 2002)
  • Other Work

    I co-authored several papers while working as a Research Assistant at the Urban Institue, a non-partisan economic and social policy research organization in Washington D.C. My research focused on issues of retirement policy including pension policy, Social Security reform, and retirement security.

  • Butrica, Barbara, Joshua H. Goldwyn, and Richard W. Johnson. 2005. 'Understanding Expenditure Patterns in Retirement.' Research Report. Washington D.C.: The Urban Institute.
  • Johnson, Richard W., Cori E. Uccello, and Joshua H. Goldwyn. 2005. 'Who Foregoes Survivor Protection in Employer-Sponsored Pension Annuities?' The Gerontologist 45:26-35.
  • Favreault, Melissa, Joshua H. Goldwyn, Karen E. Smith, Lawrence H. Thompson, Cori E. Uccello, and Sheila R. Zedlewski. 2004. 'Reform Model Two of the President's Commission to Strengthen Social Security: Distribution Outcomes under Different Economic and Behavioral Assumptions.' Working Paper. Chestnut Hill, MA: Center for Retirement Research at Boston College.
  • Johnson, Richard W., Joshua H. Goldwyn, and Melissa Favreault. 2004. 'Social Security COLA Reductions Would Weaken Financial Security for the Oldest and Poorest Retirees.' Retirement Project Brief Series. Washington D.C.: The Urban Institute.
  • Johnson, Richard W., Melissa Favreault, and Joshua H. Goldwyn. 2003. 'Employment, Social Security, and Future Retirement Outcomes for Single Mothers.' Working Paper. Chestnut Hill, MA: Center for Retirement Research at Boston College.

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