17 июл. 2020 г. · As for algebra, it depends a lot on which area you are working in, but it seems to me that recognizing hidden structure is much more important.

9 авг. 2016 г. · What are some hot topics of research in pure algebra such as in algebraic aspects of representation theory, associative algebras, noncommutative ...

20 окт. 2021 г. · In abstract ring theory, people tend to define a lot of properties, which help to classify rings, but don't have an immediate geometric meaning.

15 июл. 2023 г. · I'm particularly interested in abstract algebra(like Lie theories or Clifford/Geometric algebras) and applied mathematics (like nonlinear dynamics or numerical ...

27 мар. 2021 г. · Linear algebra research is absolutely a thing. It does go by other names, but this is not unique to linear algebra. Undergrad math courses don't ...

28 дек. 2023 г. · It depends a lot on what kind of algebra you'd like to do. Category theory is critically important for the study of rings, modules, and ...

15 февр. 2023 г. · The most active areas of math research are partial differential equations (in particular fluid PDEs, dispersive PDEs, and PDEs for random systems), probability ...

26 авг. 2014 г. · Most linear algebra research will be restricted to computer science and applications. Theoretically, it's fairly fleshed out and there aren't ...

8 июн. 2018 г. · Looking through the papers of known Algebraic Topologists, I've noticed that most are researching Chromatic Homotopy Theory, K-Theory (Algebraic + Topological) ...

27 апр. 2017 г. · I would recommend looking into commutative algebra, algebraic geometry, and/or algebraic number theory. Number theory and algebraic geometry ...