"In Euclid's Elements we meet the concept which later plays a significant role in the development of science. The conc…"

"The unlikely interplay between motives and quantum field theory has recently become an area of growing interest at th…"

"Grothendieck's dream was to produce, for any system of polynomial equations, the essential nugget that would remain a…"

"Even though the Weil's Conjectures have been proved by Deligne without appealing to the theory of motives, an enlarge…"

"... when non-perturbative phenomena are included, there is no problem from the string theory point of view in effecti…"

"Calabi-Yau manifolds admit Kähler metrics with vanishing Ricci curvatures. They are solutions of the Einstein field e…"

"Enumerative geometry is an old subject that has been revisited extensively over the past 150 years. Enumerative geome…"

"Riemann's theory of Abelian integrals was far ahead of its time in dealing with the fundamental properties of Riemann…"

"In the various forms of geometry (differential, metric, affine, algebraic), the central object is the variety, consid…"

"Should you just be an algebraist or a geometer? is like saying Would you rather be deaf or blind? If you are blind, y…"