C L E Moore Instructor

office: 2-246A

email: negronc at mit dot edu

**Mathematical interests:**

**Teaching:**

**Publications:**

- Small quantum groups associated to Belavin-Drinfeld triples. to appear
*Trans. Amer. Math. Soc.*(pdf) - (w/ S.
Witherspoon) The Gerstenhaber bracket as a Schouten bracket for
polynomial rings extended by finite groups. to appear
*Proc. Lond. Math. Soc.*(pdf) - (w/ R. Ng) Gauge invariants from the powers of antipodes. to appear
*Pacific J. Math.*(pdf, slides) - The cup product on Hochschild cohomology via twisting cochains
and applications to Koszul rings.
*J. Pure Appl. Algebra*, 2016. (pdf) - The derived Picard group of an affine Azumaya algebra.
*Selecta Math.*, 2016. (pdf, old slides) - (w/ S.
Witherspoon) An alternate approach to the Lie bracket on Hochschild
cohomology.
*Homology Homotopy Appl.*, 2016. (pdf)

- Spectral sequences for the cohomology rings of a smash product.
*J. Algebra*, 2015. (pdf)

**Preprints:**

- (w/ T. Schedler) The Hochschild cohomology ring of a global quotient orbifold.
*coming soonish* - (w/ E. Friedlander) Cohomology for Drinfeld doubles of some infinitesimal group schemes.
*submitted*(pdf) - Twists for quantum Borel algebras.
*submitted*(pdf) - Braided Hochschild cohomology and Hopf actions.
*submitted*(pdf)

**Other Stuff:**

**Travel Schedule:**

Oct. 1-Dec 31 | Hausdorff Institute, Bonn | Trimester Program Symplectic Geometry and Representation Theory. |

Jan 10-11, 2018 | San Diego | AMS Special Session on Hopf algebras |

Apr 19, 2018 | Perdue University | Algebra seminar |