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Publications in VIVO
 

Pflaum, Markus Josef Professor

Positions

Research Areas research areas

Research

keywords

  • Topology, in particular of stratified spaces, Geometric Analysis, Noncommutative Geometry, and Deformation Quantization, in particular in the singular setting, Chemical Topology

Publications

selected publications

Teaching

courses taught

  • MATH 2002 - Number Systems: An Introduction to Higher Mathematics
    Primary Instructor - Fall 2018 / Spring 2020
    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 2130 - Introduction to Linear Algebra for Non-Mathematics Majors
    Primary Instructor - Spring 2019
    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 do not plan to major in Mathematics. Degree credit not granted for this course and MATH 2135 or APPM 3310. Formerly MATH 3130.
  • MATH 3001 - Analysis 1
    Primary Instructor - Spring 2018
    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 4810 - Special Topics in Mathematics
    Primary Instructor - Summer 2018 / Summer 2019
    Covers various topics not normally covered in the curriculum. Offered intermittently depending on student demand and availability of instructors. May be repeated up to 7 total credit hours. Same as MATH 5810.
  • MATH 5810 - Special Topics in Mathematics
    Primary Instructor - Summer 2018 / Summer 2019
    Covers various topics not normally covered in the curriculum. Offered intermittently depending on student demand and availability of instructors. May be repeated up to 7 total credit hours. Same as MATH 4810.
  • MATH 6220 - Introduction to Topology 2
    Primary Instructor - Spring 2020
    Continuation of MATH 6210. Department enforced prerequisite: MATH 6210. Instructor consent required for undergraduates.
  • MATH 6280 - Advanced Algebraic Topology
    Primary Instructor - Fall 2018
    Covers homotopy theory, spectral sequences, vector bundles, characteristic classes, K-theory and applications to geometry and physics. Department enforced prerequisite: MATH 6220. Instructor consent required for undergraduates.

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