The trees themselves—fields within the wider subject of math —are strong and towering ... It's also a fact (a theorem of Gerd Faltings) that for most equations in two unknowns, there are ...

The subject “combined lovely math with really beautiful questions that have a philosophical ... Her Ph.D. thesis investigated the vertex cover problem, a combinatorial question appearing in the famous ...

We often represent an object with a vertex (node ... s Combinatorial Nullstellensatz and related theorems, along with their applications to combinatorics, graph theory, number theory, and incidence ...

Masaki Kashiwara, this year’s Abel Prize winner, co-founded a new field of mathematics called algebraic analysis ...

Britta Späth has dedicated her career to proving a single, central conjecture. She’s finally succeeded, alongside her partner ...

Researchers have solved a long-standing problem in topology by helping classify four-dimensional shapes (4-manifolds) that ...

I am Akshita Jolly, a journalism and mass communication graduate from Jagannath Institute Of Management Sciences, Rohini. I have previously worked as a lifestyle and education writer and also got ...

Chapter Topics REAL NUMBERS Euclid’s division lemma Proofs of the following theorems are deleted: If a perpendicular is drawn from the vertex of the right angle of a right triangle to the ...