Associators, Formality and Invariants.

Deformation Quantization of Poisson Manifolds (Sheng-Fu),

Deformation Quantization of Poisson Manifolds II (Eric),

Operads (Rebecca),

Arnold's conjecture (Sheng-Fu),

Associators and the Grothendieck-Teichmüller Group I (Eric),

Formality (Rebecca),

Tamarkin's Microlocal condition on non-displaceability (Sheng-Fu),

Pentagon and Hexagon Equations Following Furusho (Eric, Sheng-Fu),

Poisson Algebra and Orbit methods (Sheng-Fu),

A infinity algebras (updated notes on the relation with Massey products) (Eric),

Kontsevich's Graph complex (Rebecca),

Universal finite type invariants of knots and relation to Reshitikhin-Turaev invariants-  (Karene),

EK theory of deformation of lie bialgebras-I (Eric),

EK theory of deformation of lie bialgebras-II ( Professor Tamarkin),

Stable Formality Quasi-isomorphisms for Hochschild Cochains  (Rebecca),

Tannaka duality (Sheng-Fu),

Minimal Models, GT-Action and Formalty of the Little Disk Operad (Rebecca),

Swiss Cheese Operad (Eric),

Knotted trivalent graphs and its relation to associator (Karene),

Contact non-Squeezability (Sheng-Fu),

Categorical Group Actions (Eric :
 based on my (notes) notes from Licata's course: Braid group actions from representation theory).

Mixed Hodge structures and the KZ associator (Rebecca),

Dg quotients of DG categories (Eric),

Geometrical Galois actions and Grothendieck Teichmüller group (Sheng-Fu),

Quantization of Lie bialgebras via the formality of the operad of little disk (Professor Tamarkin),

Lie bialgebra quantization in 2- and 3-dimensional field theory (Theo Johnson-Freyd),  (notes),

An introduction to factorization homology (Hiro Lee),

Action of the Grothendieck-Teichmueller group on the operad of Gerstenhaber algebras  (Eric),

Review Relation of  Associators to EK-quantization of Lie bialgebras (Eric),

Review  Monodromy representations of braid group along solutions of the KZ equation (Eric),

Microlocal category and symplectic invariants (Sheng-Fu),

Algebraic calculus structures on Hochschild chains and cochains I (Rebecca),

Algebraic calculus structures on Hochschild chains and cochains II (Rebecca),

Legendrian contact homology (Honghao),

Kontsevich's Swiss cheese conjecture (Eric),

Equivalence of formalities of the little disk operad (Eric),

Legendrian contact homology II (Honghao),

Non-formality of the Swiss-Cheese operad (Eric),

Cyclic homology as additive k-theory (Rebecca),

A casual introduction to cluster algebras and categories (Sheng-Fu),

Introduction to Homotopy theory of Operads (Elaine So),

2 Segal spaces (Rebecca),

Introduction to Homotopy theory of Operads II (Eric),

The homotopy Gerstenhaber algebra of Hochschild cochains of a regular algebra is formal  (Eric).