# Ragnar-Olaf Buchweitz

**
Professor |
University of Toronto, Department of Mathematics
**

Toronto, ON, CA

Professor Buchweitz researches Commutative and Homological Algebra and Algebraic Geometry, Singularity Theory

## Media

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## Industry Applications (2)

## Research Interests (3)

## Accomplishments (1)

#### Humbolt Research Award (professional)

2010

## Education (3)

#### University of Hannover: Ph.D., Mathematics 1976

#### University of Hannover: M.Sc., Mathematics 1972

#### University Paris VII: Thèses d'Etat, Mathematics 1981

## Languages (3)

- English
- French
- German

## Articles (5)

**Non-commutative desingularization of determinantal varieties, II: Arbitrary minors**

*International Mathematics Research Notices*

2015

In our paper “Non-commutative desingularization of determinantal varieties I”, we constructed and studied non-commutative resolutions of determinantal varieties defined by maximal minors. At the end of the introduction, we asserted that the results could be ...

**On the derived category of Grassmannians in arbitrary characteristic**

*Compositio Mathematica*

2015

In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-known characteristic-zero results, we construct dual exceptional collections on them (which are, however, not strong) as well as a tilting bundle. We show that this ...

**Strong global dimension of commutative rings and schemes**

*Journal of Algebra*

2015

The strong global dimension of a ring is the supremum of the length of perfect complexes that are indecomposable in the derived category. In this note we characterize the noetherian commutative rings that have finite strong global dimension. We also give a ...

**The multiplicative structure on Hochschild cohomology of a complete intersection**

*Journal of Pure and Applied Algebra*

2015

We determine the product structure on Hochschild cohomology of commutative algebras in low degrees, obtaining the answer in all degrees for complete intersection algebras. As applications, we consider cyclic extension algebras as well as Hochschild ...

**Hochschild (co-) homology of schemes with tilting object**

*Transactions of the American Mathematical Society*

2013

Given a $ k $-scheme $ X $ that admits a tilting object $ T $, we prove that the Hochschild (co-) homology of $ X $ is isomorphic to that of $ A=\ operatorname {End} _ {X}(T) $. We treat more generally the relative case when $ X $ is flat over an affine scheme ...