Courses

• GRS MA 782: Hypothesis Testing
  Parametric hypothesis testing, uniformly and locally the most powerful tests, similar tests, invariant tests, likelihood ratio tests, linear model testing, asymptotic theory of likelihood ratio, and chi-squared test. Logit and log-lin analysis of contingency tables.
• GRS MA 783: Advanced Stochastic Processes
  Proof-based approach to stochastic processes. Brownian motion. Continuous martingales. Stochastic integration. Itô formula. Girsanov?s Theorem. Stochastic differential equations. Feynman-Kac formula. Markov Processes. Local times. Lévy processes. Semimartingales and the general stochastic integral. Stable processes. Fractional Brownian motion.
• GRS MA 791: Recent Advances in Probability and Statistics I
  Participants discuss ongoing research, as well as important results that have recently appeared in the literature.
• GRS MA 792: Recent Advances in Probability and Statistics II
  Participants discuss ongoing research, as well as important results that have recently appeared in the literature.
• GRS MA 822: Topics in Geometry and Topology
  Advanced seminar in topics in differential geometry, topology and mathematical physics of current research interest.
• GRS MA 831: Tpcs Math-Phys
  This course description is currently under construction.
• GRS MA 841: Seminar: Algebra
  
• GRS MA 843: Topics in Number Theory I
  Advanced number theory, focusing on such topics as modular forms, special values in L-series, p-adic L-functions, and p-adic variation.
• GRS MA 844: Topics in Number Theory II
  Advanced number theory, focusing on such topics as Selmer groups, Iwasawa theory, Euler systems, and main conjectures.
• GRS MA 861: Seminar: Applied Mathematics
  
• GRS MA 862: Seminar: Applied Mathematics
  
• GRS MA 872: Seminar: Dynamical Systems
  
• GRS MA 876: Seminar: Partial Differential Equations
  
• GRS MA 881: Seminar: Statistics
  Real problems in experimental design and data analysis presented by clients from various other departments. The art of statistical consulting in a variety of applied areas.
• GRS MA 882: Seminar: Statistics
  Real problems in experimental design and data analysis presented by clients from various other departments. The art of statistical consulting in a variety of applied areas.
• GRS MA 884: Seminar in Probability and Statistics
  Invited speakers from the United States and abroad describe open problems and recent results.
• GRS MA 905: Directed Study: History of Mathematics
  
• GRS MA 906: Directed Study: History of Mathematics
  
• GRS MA 911: Directed Study: Real Analysis
  
• GRS MA 912: Directed Study: Real Analysis
  

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