"The Hodge conjecture postulates a deep and powerful connection between three of the pillars of modern mathematics: al…"

"In his 1950 Congress address, Hodge reported on the topological and differential-geometric methods in studying algebr…"

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

"In Western Culture, starting from Phidias and the Parthenon, the Golden Section and the Golden Number are present, co…"

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

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

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

"... 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…"