Algebra

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The field of algebra, as a discipline, is characterised by its multiple interrelation with other disciplines of mathematics. It focuses on the following aspects:

  • algebraic structures mathematical objects,
  • systematic calculations and operations of numbers and objects,
  • abstraction of mathematical models,
  • simplification of mathematical methods,
  • axiomatization or generalisation of a mathematical theory.

Currently, there are many areas with the adjective "algebraic"; for example: algebraic analysis, algebraic geometry, algebraic topology, algebraic number theory, among others.

At IMCA, we have researchers and graduate students investigating in the following topics:

  • homotopy theory and motives,
  • Algebraic cycles on algebraic surfaces,
  • Hochschild homology and Hopf algebras,
  • Waldhausen categories and K-theory,
  • Algebraic number theory.

Publications

  • Huamaní, N. B., De Jesus, C. M., & Palacios, J. (2019). Invariants of stable maps from the 3-sphere to the euclidean 3-space. Bull Braz Math Soc, 50, 913–932.
  • Palacios, J. (2019). Geometrical symmetric powers in the motivic homotopy category. Journal of Pure and Applied Algebra, 223, 5396–5408.
  • Huamán, R. J. M. (2019). Extensiones no ramificadas y ligeramente ramificadas. REVCIUNI, 22, 1–2.