Question 1

The number 1729, known as the smallest number expressible as the sum of two cubes in two different ways, is named the 'taxicab number' in honor of G. H. Hardy and which Indian mathematician?

Accepted Answer

Srinivasa Ramanujan. Srinivasa Ramanujan immediately identified the special properties of 1729 when G. H. Hardy remarked that it seemed like a dull number for a taxicab.

Question 2

Which 19th-century mathematician is widely recognized as the world's first computer programmer for developing an algorithm for Charles Babbage's Analytical Engine?

Accepted Answer

Ada Lovelace. Ada Lovelace published the first algorithm intended to be executed by a machine—specifically Charles Babbage's proposed Analytical Engine.

Question 3

Which English mathematician and codebreaker formalized the concepts of algorithm and computation with his theoretical 'machine' in 1936?

Accepted Answer

Alan Turing. Alan Turing introduced the Turing machine in his 1936 paper, laying the theoretical foundation for modern computer science.

Question 4

Which French mathematician founded Galois theory and revolutionized abstract algebra before dying in a duel at age 20 in 1832?

Accepted Answer

Évariste Galois. Évariste Galois developed the branch of algebra now known as Galois theory to determine when polynomial equations are solvable by radicals before his fatal duel.

Question 5

Leonhard Euler's 1736 paper resolving the problem of the Seven Bridges of Königsberg is regarded as the origin of which mathematical discipline?

Accepted Answer

Graph theory. By proving that no walk through Königsberg could cross each of its seven bridges exactly once, Euler founded graph theory and modern topology.

Question 6

In 2014, who became the first woman and first Iranian to be awarded the Fields Medal?

Accepted Answer

Maryam Mirzakhani. Maryam Mirzakhani received the Fields Medal in 2014 for her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces.

Question 7

Which mathematician formulated the groundbreaking theorem proving that every continuous symmetry of a physical system corresponds to a conserved quantity?

Accepted Answer

Emmy Noether. Emmy Noether proved Noether's first theorem in 1915, linking conservation laws (like energy and momentum) directly to symmetries in physics.

Question 8

Which Russian mathematician proved the Poincaré conjecture in the early 2000s, but declined both the Fields Medal and the one-million-dollar Clay Millennium Prize?

Accepted Answer

Grigori Perelman. Grigori Perelman posted his proof of the Poincaré conjecture (via Thurston's geometrization conjecture) on arXiv in 2002–2003 and famously refused all major awards for the work.

Question 9

Which German mathematician is historically referred to by the title 'Princeps mathematicorum' ('Prince of Mathematicians')?

Accepted Answer

Carl Friedrich Gauss. Carl Friedrich Gauss made groundbreaking contributions across many fields of mathematics and science, earning him the enduring title 'Prince of Mathematicians'.

Question 10

In what year was Andrew Wiles's completed, peer-reviewed proof of Fermat's Last Theorem officially published in the journal 'Annals of Mathematics'?

Accepted Answer

1995. Wiles's groundbreaking paper 'Modular elliptic curves and Fermat's Last Theorem' was published in 1995 alongside a joint paper with Richard Taylor.

Famous mathematicians