France · 1811-1832

Évariste Galois

Évariste Galois was mathematician. He connected polynomial solvability with symmetry groups, founding a central part of abstract algebra.

Documented historical record

Biographical and historical reference works document Évariste Galois’s role and the mathematical work summarized on this page.

Historical eraIndustrial & Scientific Age
Math subjects
Grade bands

6-8, 9-12, College

Profession trails

The person and the work

Biography

Évariste Galois was mathematician associated with France. He connected polynomial solvability with symmetry groups, founding a central part of abstract algebra.

His surviving mathematical papers were written and revised during a very short life. Together, these contributions connect algebra and functions to the working problems, tools, and questions of the period.

Mathematical contribution

What this hero added or preserved

Core mathematical work

He connected polynomial solvability with symmetry groups, founding a central part of abstract algebra.

Method, teaching, or application

His surviving mathematical papers were written and revised during a very short life.

Why this matters

The larger lesson

Évariste Galois shows that mathematics grows through proof, calculation, observation, design, teaching, or careful records. The lasting lesson is that algebra and functions can turn a difficult question into a method another person can inspect and reuse.

Place the work in time

Timeline

  1. 1811

    Life and working period

    Évariste Galois worked as mathematician in France.

  2. Legacy

    Lasting mathematical connection

    His surviving mathematical papers were written and revised during a very short life.

Key idea

An equation balances two descriptions

Évariste Galois’s work shows how symbols can represent an unknown quantity while preserving equality.

Example

In 4x + 5 = 53, subtracting 5 and dividing by 4 gives x = 12.

Try it yourself

Solve the equation

Solve 4x + 5 = 53.

  1. Subtract 5 from both sides.
  2. Divide both sides by 4.
  3. Substitute the result to check.
Show the answer

x = 12.

Math at work

Programmers and data analysts use the same habits

Programmers and data analysts use algebra and functions to plan, compare, test, or communicate decisions. Évariste Galois’s work provides a historical example of that connection.

Keep curiosity alive

A little-known fact

His surviving mathematical papers were written and revised during a very short life.

Common misconception

Évariste Galois matters because of only one famous formula or anecdote.

What the evidence supports

The documented record is broader: He connected polynomial solvability with symmetry groups, founding a central part of abstract algebra.

Keep exploring

Connected learning paths