Arithmetic geometry, at its core, investigates the rich interplay between number theory and geometry. In the context of unitary groups—algebraic groups defined as the symmetries of Hermitian forms—the ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

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Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...

An curved arrow pointing right. John Edmark makes his artwork with geometric formulas. Over his career he's studied math, architecture, computer science, art, and animation, and he uses all of them in ...

The simple definition of a mean is that of a numeric quantity which represents the center of a collection of numbers. Here the trick lies in defining the exact type of numeric collection, as beyond ...