Maxim J. Goldberg-Rugalev

ASSOCIATE PROFESSOR OF MATHEMATICS
B.S., M.S., Ohio State University,
Ph.D., Yale University

Year Joined RCNJ: 2002

Courses Offered:

• Linear Algebra
• Numerical Analysis
• Number Theory
• Introduction to Analysis
• Discrete Structures
• Elementary Probability and Statistics
• Probability
• Calculus
• Math for the Modern World

Teaching Interest:

• Analysis
• Probability
• Calculus

Research Interest:

• Applied harmonic analysis

Recent Publications:

• (R. Coifman, PI; G. Davis, M. Goldberg-Rugalev, S. Kim, and F. Warner, Co-PI’s) Mathematical Tools for Non-invasive Spectroscopic Monitoring of Blood Chemistry (Proposal Number 0139914), effective 10/01/02, duration 36 months, $890,000 National Science Foundation grant awarded.

  (with S. Kim) Using the pmf of the time to reach a subset of states in an irreducible finite Markov chain for clustering, Joint Math Meetings, AMS Session on Probability and Statistics I, New Orleans, LA, January 5-8, 2007.

   M. Goldberg, T. Hrycak, and S. Kim, A Fast Numerical Method for Evaluation of Calderón Commutators, J. of Computational and Applied Math., Vol. 158, Issue 2, September 2003, pp. 473-484.

  M. Goldberg and S. Kim, Solving the Dirichlet Acoustic Scattering Problem for a Surface with Added Bumps using the Green’s Function for the Original Surface, Int. J. of Math. and Math. Sci., Vol. 31, No. 11, September 2002, pp. 687-694. 

  R. Coifman, M. Goldberg, T. Hrycak, M. Israeli, and V. Rokhlin, An Improved Operator Expansion Algorithm for Direct and Inverse Scattering Computations, Waves in Random Media, 9(1999), pp. 441–457.

  M. Goldberg, An Alternative Operator Expansion Formalism for Electromagnetic Scattering from a Perfectly Conducting Rough Surface, Research Report 1156, Yale University—Dept. of Comp. Sci., July 1998.