Volodymyr Mazorchuk


more recent photo 1    more recent photo 2

Professor of Mathematics,

Department of Mathematics,

University of Uppsala,

Box 480, SE-751 06

Uppsala, SWEDEN


office: 14237

phone: +46-(0)18-471-3284

fax: +46-(0)18-471-3201

e-mail: mazor [at] math [dot] uu [dot] se


Short Curriculum Vitae:

Date of Birth: 10 May 1972

1988-1993: student, Kyiv Taras Shevchenko University;

1993-1996: graduate student, Kyiv Taras Shevchenko University;

1996: Ph.D. in Mathematics (Candidate of Physical and Mathematical Sciences),

Kyiv Taras Shevchenko University;

1996-2000: Assistant Professor in Algebra, Department of Mechanics and Mathematics,

Kyiv Taras Shevchenko University;

1998-1999: Alexander von Humboldt Research Fellow in Bielefeld University, Germany.

2000: Habilitation in Mathematics (Doctor of Physical and Mathematical Sciences),

Kyiv Taras Shevchenko University;

2000-2001: Junior Associate of the ICTP, Trieste, Italy;

2000-2001: Research Assistant, Department of Mathematics, Chalmers University of

Technology and Göteborg University;

2001-2007: Senior Lecturer, Department of Mathematics, University of Uppsala.

2002: Docent in Mathematics, University of Uppsala. 

2007-2008: Reader in Pure Mathematics, Department of Mathematics, University of Glasgow 

2007-now: Professor in Mathematics, Department of Mathematics, University of Uppsala 


Research Interests:

Representation theory of associative algebras and Lie algebras, transformation semigroups.


Link to my teaching page at Uppsala University

"Essén Lectures" (Uppsala, May 12-16, 2014)



"Representation Theory Workshop" (Uppsala, May 7-9, 2015), connected to the Representation theory program at the Institute Mittag-Leffler.

"Introductory Workshop" (Uppsala, February 26-28, 2015), connected to the Representation theory program at the Institute Mittag-Leffler.

"Lie Algebras and Applications" (Uppsala, September 6-8, 2012).

"Semigroups and Applications" (Uppsala, August 30 - September 1, 2012).

"Algebraic representation theory confrence" (Uppsala, September 1-3, 2011).

"Algebra and Representation Theory Workshop" (Uppsala, December 12, 2008).

"Algebraic Methods in Functional Analysis" (Gothenburg, June 15-17, 2007), a mini-workshop within the joint research project "Representation theory of algebras and applications", supported by STINT.

"Categorification in Algebra and Topology" (Uppsala, September 7-10, 2006), conference.

"Algebraic versus analytic representations" (Kyiv, December 8-10, 2005), a mini-workshop within the joint research project "Representation theory of algebras and applications", supported by STINT.

"Tame and Wild Workshop" (Uppsala, November 26-28, 2004),  a mini-workshop within the joint research project "Representation theory of algebras and applications", supported by STINT.

"Representation Theory and its Applications" (Uppsala, June 22-27, 2004) a satellite conference to the "Fourth European Congress of Mathematics".

"C^*-algebras, Lie algebras and related topics" (Kyiv, December 4-6, 2003), a mini-workshop within the joint research project "Representation theory of algebras and applications", supported by STINT.



Since December 2007 I am an Editor of the journal   "Algebra and Discrete Mathematics"

Since March 2010 I am a Subject Editor in the area of Algebra of "Glasgow Mathematical Journal".

Since July 2011 I am an Editor of the journal "Arkiv för Matematik".

Since January 2012 I am an Editor of the  "Journal of Algebra".


Texts of talks with OHP:

-- Simple transitive 2-representations of finitary 2-categories, Workshop ``Categorification and geometric representation theory'', CRM Montreal, Montreal, Canada, June 12, 2014, pdf

-- Category O for classical Lie superalgebras, Köln Algebra seminar, Köln University, Köln, Germany, July 16, 2013, pdf
-- Finitary 2-categories and their 2-representations, 17 NWDR Workshop,
Wuppertal, Germany, July 12, 2013, pdf
-- Simple supermodules for classical Lie superalgebras, Workshop on  ``Cohomology in Lie Theory'', Oxford, UK, June 24-28, 2013, pdf

--  Higher representation theory, Third international symposium on ``Groups, algebras and related topics'', Beijing, P. R. China, June 10-16, 2013, pdf
-- Simple supermodules for classical Lie superalgebras, Workshop on  ``Super representation theory'', Taipei, Taiwan, May 10-12, 2013, pdf

-- Linear representations of semigroups from 2-categories, Workshop on ``Semigroup representations'', Edinburgh, UK, April 10-12, 2013, pdf.

-- 2-categories, 2-representations and their applications, LMS Northern regional meeting and workshop on ``Triangulations and mutations'', Newcastle, UK, March 18-22, 2013, pdf.

-- Koszul duality between generalized Takiff Lie algebras and superalgebras, Lie superalgebras, Rome, Italy, December 10-14, 2012, pdf.

-- Endomorphisms of cell 2-representations, Gradings and decompositionnumbers, Stuttgart, Germany, September 24-28, 2012, pdf.

-- Category O for quanum groups, Mathematical physics and developmentsin algebra, Special session of 6 ECM, Krakow, Poland, July 3-6, 2012, pdf

-- 2-representations of finitary 2-categories, Category theoretic methods in representationtheory, Ottawa, Canada, October 14-16, 2011, pdf.

-- Higher representation theory and categorification,  "Algčbres de Hecke Algčbres de CherednikAlgčbres amassées et Théorie des Représentations", IESC Cargese, September 12-23, 2011lecture_1, lecture_2, lecture_3, lecture_4, lecture_5.     

-- Combinatorial categorification of sl_k-knot invariants, LieGrits Workshop, Mathematical Institute, University of Oxford, January 3-9, 2008, pdf.

-- Schur-Weyl dualities for symmetric inverse semigroups, Group Embeddings: Geometry and representations, BIRS, Banff, Canada, September 17-21, 2007, pdf.

-- Quivers, representation, roots and Lie algebras, Uppsala Math. Colloquim, September 7, 2007, pdf.

-- Algebraic Categorification, ICRA XII, Torun, August 20-24, 2007, pdf.

-- Categorification, Kostant's problem and generalized Verma modules, Algebraic and Geometric Lie Theory (AGLT), Ĺrhus, June 25-30, 2007, pdf.

-- Categorification of the representation theory of the symmetric group, Perspectives in Auslander-Reiten theory, Trondheim, May 10-12, 2007, pdf.

-- Category O as a source for categorification, Categorification in Algebra and Topology, Uppsala, September 7-10, 2006, pdf.

--  Serre functors, category O and symmetric algebras, Conference on Representation Theory and related Topics, International Center for Theoretical Physics (ICTP), Trieste, Italy: January 23-28, 2006, pdf.

--  Serre functors and symmetric algebras, Algebraic versus analytic representations, Workshop, Kyiv, December 8-10, 2005, pdf.

--  Interaction of Ringel and Koszul dualities for quasi-hereditary algebras, International Asia Link Conference on Algebras and Representations, Beijing, May 2005, pdf.

--  A twisted approach to Kostant's problem, Algebra Seminar, Ĺrhus University, Ĺrhus, Denmark, May 2005, pdf.

-- A generalization of the identity functor, Representation theory and its Applications, Uppsala, Sweden, June 2004, pdf.

-- On finitistic dimension of stratified algebras, Pure Maths Colloquium, Leicester Unievrsity, Leicester, U.K., January 2004, pdf.

-- Finitistic dimension of properly stratified algebras, C^*-algebras, Lie algebras and related topics, Mini-workshop, Kyiv, Ukraine, December 2003, pdf.

-- Twisting, completing and approximating category O, IVth International algebraic confrence, Lviv, Ukraine, August 2003, pdf.

-- Stratified algebras arising in Lie theory, ICRA X, Specialized Workshop, Toronto, Canada, August 2002, pdf.

-- New properties and applications of Gelfand-Zetlin modules, ICRA X, Toronto, Canada, August 2002,  pdf.

-- Combinatorics of partial bijections, Docent lecture, Uppsala, Sweden, June 2002, pdf.

-- Structure of generalized Verma modules, "Lie and Jordan algebras", Sao Paulo, Brazil, May 2002, pdf.

-- Abstract version of Enright's completion, First AMS-SMF meeting, Lyon, France, July 2001, pdf.

-- Twisted generalized Weyl algebras, First DMV-BMS meeting, Liege, Belgium, June 2001, pdf. Addition: pdf.

-- Gelfand-Zetlin modules, MPI Oberseminar, Bonn, Germany, May 2001, pdf. Addition:  pdf.


BOOK: Classical Finite Transformation Semigroups, An Introduction

Series: Algebra and Applications , Vol. 9 Ganyushkin, Olexandr, Mazorchuk, Volodymyr  2008, Approx. 340 p. 4 illus., Hardcover, ISBN: 978-1-84800-280-7. Product flyer.

Cover page


BOOK:  Lectures on sl_2-modules Imperial College Press, 2009, ISBN:   978-1-84816-517-5   1-84816-517-X. Product flyer.

List of typos: pdf.


BOOK: Lectures on algebraic categorification The QGM Master Class Series European Mathematical Society Publishing House, ISBN 978-3-03719-108-8

Lecture on algebraic categorification


Recent preprints:

-- Simple weight modules over  weak genralized Weyl algebrqas, coauthors R.Lu and K.Zhao, Preprint arxive arxive:1405.0556, pdf

-- Transitive 2-representations of finitary 2-categories, coauthor V.Miemietz, Preprint arxiv:1404.7589, pdf

-- Some homological properties of category O, III, coauthor  K.Coulembier, Preprint arxiv:1404.3401, pdf

-- Classification of simple weight modules over the 1-spatial ageing algebra, coauthors R.Lu and K.Zhao, Preprint arxiv:1403.5691, to appear in Alg. Rep. Theory pdf

-- Category O for the Schrödinger algebra, coauthors B.Dubstky, R.Lu and K.Zhao, Preprint arxiv:1402.0334, to appear in Linear Algebra Appl.,  pdf

-- Primitive ideals, twisting functors and start action for classical Lie superalgebras, coauthor  K.Coulembier, Preprint arxiv:1401.3231, to appear in Crelle, pdf

-- Morita theory for finitary 2-categories, coauthor V.Miemietz, Preprint arxiv:1304.4698, to appear in Quantum Topol. pdf

-- Categoification of the Catalan monoid, coauthor A.-L. Grensing,  Preprint arxiv:1211.2597, to appear in Semigroup Forum, pdf

-- Simple Virasoro modules induced from codimension one subalgebras of the positive part, coauthor E.Wiesner,  Preprint arxiv:1209.1691, to appear in Proc. AMS, pdf

-- Endomorphisms of cell 2-representations, coauthor V.Miemietz, Preprint arxiv:1207.6236, pdf

-- On multisemigroups, coauthor G.Kudryavtseva, Preprint arxiv:1203.6224, to appear in  Portugaliae Mathematica, pdf

-- Category O for quantum groups, coauthor H.H.Andersen ,   Preprint arxiv:1105.5500, to appear in JEMS, pdf


Old preprints:

-- A counter example to Slater's conjecture on basic gaps, coauthor R.Twarock, Preprint 2002:35, Uppsala University, pdf.

-- The full finite inverse symmetric semigroup IS_n, coauthor O.Ganyushkin, Preprint 2001:37, Göteborg University,  pdf.


More papers are available here.


Some mathematical problems I can not solve can be found here.



-- Theory of Semigroups, course notes in ukrainian, coauthor O.Ganyushkin, pdf.

-- Jordan normal form, solution guide in ukrainian, pdf.

-- Linear Algebra, matrices and determinants, solution guide in ukrainian

coauthors S.Ovsienko and N.Golovashchuk, doc.gz.

                              Teaching in Uppsala

In the world of mathematics:

-- The journal homepage is here.

-- The problems from "Our competition" are available here.


My Erdös number is 2 via Svante Janson.


My bookmarks