From operads and PROPs to Feynman Processes

From Projective Representations to Quasi-Quantum Groups

From quantum affine groups to the exact dynamical correlation function of the Heisenberg model

From quantum affine Kac-Moody algebras to Drinfeldians and Yangians

From quantum electrodynamics to posets of planar binary trees

From Quantum Groups to Unitary Modular Tensor Categories

From quantum to elliptic algebras

From Quantum Universal Enveloping Algebras to Quantum Algebras

From racks to pointed Hopf algebras

From sl(2) Kirby weight systems to the asymptotic 3-manifold invariant

From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory

From the Tetrahedron Equation to Universal R-Matrices

From totally nonnegative matrices to quantum matrices and back, via Poisson geometry

From Zwiebach invariants to Getzler relation

FRT Construction and Equipped Quantum Linear Spaces

FRT Construction for Dynamical Yang-Baxter Maps

FRT Quantization Theory for the Nonsemisimple Cayley-Klein Groups

FRT-duals as Quantum Enveloping Algebras

Fukaya Type Categories for Associative Algebras

Full chains of twists for orthogonal algebras