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Gauge theory in physics and mathematics refers to a field theory whose fields include principal bundles with connection.
216 questions
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For questions related to 'elementary' proofs in a technical sense, which has nothing to do with the difficulty of the argument or result. A typical example would be 'elementary' proofs of the Prime Nu…
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for question related to conjectures.
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For questions regarding harmonic functions.
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For groups represented as permutations. Group transitivity, rank 3 groups, orbits and suborbits, stablizers, permutation characters, primitivity are all on-topic.
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Dynamics of holomorphic transformations; Mandelbrot and Julia sets.
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Questions concerning the mathematics of secure communication. Relevant topics include elliptic curve cryptography, secure key exchanges, and public-key cryptography (eg. the RSA cryptosystem).
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Integer programming regards optimization problems, where one seeks to find integer values for a set of unknowns, that optimizes the objective function. A common subset of this type of problems are int…
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The method of exponential sums is one of a few general methods enabling us to solve a wide range of miscellaneous problems from the theory of numbers and its applications. The strongest results hav…
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For questions about mathematical problems arising from general relativity, the branch of physics which provides and studies the currently accepted geometric description of gravity.
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"Quiver" is the word used for "directed graph" in some parts of representation theory. The main reason to use the term quiver is to indicate an interest in considering representations of the quiver.
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For questions about mathematical problems arising from physics, the natural science studying general properties of matter, radiation and energy.
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Peano arithmetic (or Peano axioms) is a set of axioms for the natural numbers proposed by Giuseppe Peano in 1889.
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For questions about or involving fibrations which are maps which satisfy the homotopy lifting property for all spaces.
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Hausdorff dimension, box dimension, packing dimension and similar concepts.
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Mathematics of classical mechanics, including Hamiltonian mechanics, Lagrangian mechanics, applications of symplectic geometry to mechanics, deterministic chaos, resonance etc.
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Questions related to the field of Combinatorics called Matroid Theory. Relevant topics include matroids in Combinatorial Optimization, Lattice Theory, Algebraic Geometry, Polyhedral Theory, Rigidity,…
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