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Deeley, Robin John

Associate Professor

Positions

Research Areas research areas

Research

research overview

  • Dr. Deeley's research involves the study of index theory and topological dynamical systems using operator algebras and noncommutative geometry/topology.

keywords

  • Operator algebras, Index theory, Topological dynamics, K-theory

Publications

selected publications

Teaching

courses taught

  • MATH 2002 - Number Systems: An Introduction to Higher Mathematics
    Primary Instructor - Spring 2019
    Introduces the concepts of mathematical proofs using the construction of the real numbers from set theory. Topics include basic logic and set theory, equivalence relations and functions, Peano's axioms, construction of the integers, the rational numbers and axiomatic treatment of the real numbers. Credit not granted for this course and MATH 2001.
  • MATH 2135 - Introduction to Linear Algebra for Mathematics Majors
    Primary Instructor - Spring 2018 / Fall 2022
    Examines basic properties of systems of linear equations, vector spaces, inner products, linear independence, dimension, linear transformations, matrices, determinants, eigenvalues, eigenvectors and diagonalization. Intended for students who plan to major in Mathematics. Degree credit not granted for this course and MATH 2130 or APPM 3310. Formerly MATH 3135.
  • MATH 3001 - Analysis 1
    Primary Instructor - Spring 2018 / Fall 2018 / Fall 2020 / Spring 2022
    Provides a rigorous treatment of the basic results from elementary Calculus. Topics include the topology of the real line, sequences of numbers, continuous functions, differentiable functions and the Riemann integral.
  • MATH 4001 - Analysis 2
    Primary Instructor - Fall 2022 / Fall 2024
    Provides a rigorous treatment of infinite series, sequences of functions and an additional topic chosen by the instructor (for example, multivariable analysis, the Lebesgue integral or Fourier analysis). Same as MATH 5001.
  • MATH 5001 - Analysis 2
    Primary Instructor - Fall 2022
    Provides a rigorous treatment of infinite series, sequences of functions and an additional topic chosen by the instructor (for example, multivariable analysis, the Lebesgue integral or Fourier analysis). Same as MATH 4001.
  • MATH 6210 - Introduction to Topology 1
    Primary Instructor - Fall 2019 / Fall 2020
    Introduces elements of point-set topology and algebraic topology, including the fundamental group and elements of homology. Department enforced prerequisites: MATH 2130 and MATH 3140 and MATH 4001. Instructor consent required for undergraduates.
  • MATH 8304 - Topics in Analysis 1
    Primary Instructor - Spring 2021 / Spring 2023
    Presents advanced topics in analysis including Lie groups, Banach algebras, operator theory, ergodic theory, representation theory, etc. Department enforced prerequisites: MATH 8330 and MATH 8340. Instructor consent required for undergraduates.
  • MATH 8330 - Functional Analysis 1
    Primary Instructor - Fall 2018 / Fall 2021
    Introduces such topics as Banach spaces (Hahn-Banach theorem, open mapping theorem, etc.), operator theory (compact operators and integral equations and spectral theorem for bounded self-adjoint operators) and Banach algebras (the Gelfand theory). Department enforced prerequisites: MATH 6310 and MATH 6320. Instructor consent required for undergraduates. See also MATH 8340.

Background

International Activities