Yau, Donald Y. (1977-)

Category theory; homological algebra -- Categories with structure -- Enriched categories (over closed or monoidal categories). Category theory; homological algebra -- General theory of categories and functors -- Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.). Quantum field theory- Mathematics. Operads. Knot theory. Category theory; homological algebra -- Categories with structure -- Operads. Category theory; homological algebra -- Categories with structure -- Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories. Combinatorics -- Instructional exposition (textbooks, tutorial papers, etc.). Order, lattices, ordered algebraic structures -- Ordered structures -- Ordered semigroups and monoids. Homology theory. Algebra, Homological.