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Casalaina-Martin, Sebastian Associate Professor

Positions

Research Areas research areas

Research

research overview

  • Casalaina-Martin performs research in mathematics. He is an algebraic geometer with a broad range of interests. His research focuses on curves, abelian varieties, vector bundles and moduli spaces.

keywords

  • Algebraic geometry, curves, abelian varieties, vector bundles and moduli spaces

Publications

selected publications

Teaching

courses taught

  • MATH 2001 - Introduction to Discrete Mathematics
    Primary Instructor - Spring 2020
    Introduces the ideas of rigor and proof through an examination of basic set theory, existential and universal quantifiers, elementary counting, discrete probability, and additional topics. Department enforced prerequisite: MATH 1300 or MATH 1310 or APPM 1345 or APPM 1350 (minimum grade C-).
  • MATH 2130 - Introduction to Linear Algebra for Non-Mathematics Majors
    Primary Instructor - Summer 2018 / Summer 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 2135 - Introduction to Linear Algebra for Mathematics Majors
    Primary Instructor - Spring 2018
    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 2300 - Calculus 2
    Primary Instructor - Fall 2018
    Continuation of MATH 1300. Topics include transcendental functions, methods of integration, polar coordinates, differential equations, improper integrals, infinite sequences and series, Taylor polynomials and Taylor series. Department enforced prerequisite: MATH 1300 or MATH 1310 or APPM 1345 or APPM 1350 (minimum grade C-). Degree credit not granted for this course and APPM 1360.
  • MATH 6290 - Homological Algebra
    Primary Instructor - Spring 2018
    Studies categories and functors, abelian categories, chain complexes, derived functors, Tor and Ext, homological dimension, group homology and cohomology. If time permits, the instructor may choose to cover additional topics such as spectral sequences or Lie algebra homology and cohomology. Department enforced prerequisites: MATH 6130 and MATH 6140.

Background

International Activities

global connections related to teaching and scholarly work (in recent years)

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