C L E Moore Instructor

office: 2-246A

email: negronc at mit dot edu

**Mathematical interests:**

**Teaching:**

OFFICE HOURS: 12pm-2pm Tuesday

Book: Fraleigh, A first course in abstract algebra.

Syllabus

Homework (due at 11:59pm in box by Math dept offices)

Grades are managed through Stellar.

**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.
*Proc. Lond. Math. Soc.*, 2017. (pdf) - (w/ R. Ng) Gauge invariants from the powers of antipodes.
*Pacific J. Math.*, 2017. (pdf, slides) - The cup product on Hochschild cohomology via twisting cochains
and applications to Koszul rings.
*J. Pure Appl. Algebra*, 2017. (pdf) - The derived Picard group of an affine Azumaya algebra.
*Selecta Math.*, 2017. (pdf) - (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 |

Jan 16-17, 2018 | UC Santa Barbara | Colloquium talk |

Jan 27, 2018 | UNC | Colloquium talk |

Mar 26-30, 2018 | Texas A& M | Algebra seminar |

Apr 19, 2018 | Perdue University | Algebra seminar |

Oct 27-28, 2018 | San Francisco State | AMS Special Session on Homological aspects of noncommutative algebra and geometry |