Volodymyr Mazorchuk
Professor at Matematiska institutionen; Algebra, logik och representationsteori
- Telephone:
- +46 18 471 32 84
- E-mail:
- Volodymyr.Mazorchuk@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480
751 06 UPPSALA
More information is available to staff who log in.
Short presentation
This text is not available in English, therefore the Swedish version is shown.
My main research areas are: Representation theory; Lie algebras; Semigroups
Link to the teaching page: link
Link to my personal page: link
Biography
This text is not available in English, therefore the Swedish version is shown.
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
Publications
Recent publications
- Tonal partition algebras (2024)
- Kostant's problem for fully commutative permutations (2024)
- Whittaker Categories, Properly Stratified Categories and Fock Space Categorification for Lie Superalgebras (2023)
- Some Homological Properties of Category O for Lie Superalgebras (2023)
- Finite quotients of singular artin monoids and categorification of the desingularization map (2023)
All publications
Articles
- Tonal partition algebras (2024)
- Kostant's problem for fully commutative permutations (2024)
- Whittaker Categories, Properly Stratified Categories and Fock Space Categorification for Lie Superalgebras (2023)
- Some Homological Properties of Category O for Lie Superalgebras (2023)
- Finite quotients of singular artin monoids and categorification of the desingularization map (2023)
- 2-representations of small quotients of Soergel bimodules in infinite types (2023)
- Some Homological Properties of Category O, V (2023)
- Simple transitive 2-representations of Soergel bimodules for finite Coxeter types (2023)
- Adjunction in the Absence of Identity (2022)
- LIE ALGEBRA MODULES WHICH ARE LOCALLY FINITE AND WITH FINITE MULTIPLICITIES OVER THE SEMISIMPLE PART (2022)
- sl(2)-Harish-Chandra modules for sl(2)⋉L(4) (2022)
- Essential orders on stratified algebras with duality and S-subcategories in O (2022)
- Jucys–Murphy elements and Grothendieck groups for generalized rook monoids (2022)
- On the number of principal ideals in d-tonal partition monoids (2021)
- Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras (2021)
- Simple supermodules over lie superalgebras (2021)
- SOME HOMOLOGICAL PROPERTIES OF CATEGORY O. VI (2021)
- Bigrassmannian permutations and Verma modules (2021)
- Finitary birepresentations of finitary bicategories (2021)
- Harish-chandra modules over invariant subalgebras in a skew-group ring (2021)
- Canonical Gelfand-Zeitlin Modules over Orthogonal Gelfand-Zeitlin Algebras (2020)
- Trihedral Soergel bimodules (2020)
- ANALOGUES OF CENTRALIZER SUBALGEBRAS FOR FIAT 2-CATEGORIES AND THEIR 2-REPRESENTATIONS (2020)
- Pyramids and 2-representations (2020)
- Pyramids and 2-representations (2020)
- 2-categories of symmetric bimodules and their 2-representations (2020)
- BGG complexes in singular blocks of category O (2020)
- Bimodules over uniformly oriented An quivers with radical square zero (2020)
- Diagrams and discrete extensions for finitary 2-representations (2019)
- Indecomposable manipulations with simple modules in category O (2019)
- Simple transitive 2-representations of small quotients of Soergel bimodules (2019)
- Simple Transitive 2-Representations via (Co-)Algebra 1-Morphisms (2019)
- Characterisation And Applications Of κ-Split Bimodules (2019)
- Category O for Takiff sl(2) (2019)
- Simple Transitive 2-Representations for Two Nonfiat 2-Categories of Projective Functors (2019)
- The G-Centre and Gradable Derived Equivalences (2018)
- Fiat categorification of the symmetric inverse semigroup ISn and the semigroup Fn* (2018)
- Graded simple Lie algebras and graded simple representations (2018)
- Dualities and derived equivalences for category O (2017)
- Some homological properties of category O. IV (2017)
- Koszul Duality for Semidirect Products and Generalized Takiff Algebras (2017)
- Finitary 2-categories associated with dual projection functors (2017)
- Simple transitive 2-representations for some 2-subcategories of Soergel bimodules (2017)
- Classification problems in 2-representation theory (2017)
- Primitive ideals, twisting functors and star actions for classical Lie superalgebras (2016)
- Parabolic projective functors in type A (2016)
- Special Modules Over Positively Based Algebras (2016)
- Endomorphisms of Cell 2-Representations (2016)
- Morita theory for finitary 2-categories (2016)
- Transitive 2-Representations Of Finitary 2-Categories (2016)
- Isotypic faithful 2-representations of -simple fiat 2-categories (2016)
- G(l, k, d)-modules via groupoids (2016)
- Category O for quantum groups (2015)
- Some homological properties of category O. III (2015)
- Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules (2015)
- On multisemigroups (2015)
- Simple weight modules over weak generalized Weyl algebras (2015)
- Classification of Simple Weight Modules Over the 1-Spatial Ageing Algebra (2015)
- Category O for the Schrodinger algebra (2014)
- Weight Modules over Infinite Dimensional Weyl Algebras (2014)
- Categorification of the Catalan monoid (2014)
- On simple modules over conformal Galilei algebras (2014)
- On the Representation Theory of Partial Brauer Algebras (2014)
- Additive Versus Abelian 2-Representations of Fiat 2-Categories (2014)
- Simple Virasoro Modules Induced from Codimension One Subalgebras of the Positive Part (2014)
- Simple Virasoro modules which are locally finite over a positive part (2014)
- Equivalence of Blocks for the General Linear Lie Superalgebra (2013)
- Partitioned binary relations (2013)
- Combinatorial Gelfand Models for Semisimple Diagram Algebras (2013)
- Characterization of Simple Highest Weight Modules (2013)
- Combinatorial analogues of ad-nilpotent ideals for untwisted affine Lie algebras (2012)
- Serre Functors for Lie Algebras and Superalgebras (2012)
- Double Catalan monoids (2012)
- Effective dimension of finite semigroups (2012)
- On selfadjoint functors satisfying polynomial relations (2011)
- Blocks and modules for Whittaker pairs (2011)
- Cell 2-representations of finitary 2-categories (2011)
- Cuspidal sl(n)-modules and deformations of certain Brauer tree algebras (2011)
- BLOCKS OF THE CATEGORY OF CUSPIDAL sp(2n)-MODULES (2011)
- Supports of weight modules over Witt algebras (2011)
- A new approach to Kostant's problem (2010)
- KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS (2010)
- Koszul duality for stratified algebras I. Balanced quasi-hereditary algebras (2010)
- Classification of simple q_2-supermodules (2010)
- Some homological properties of the category O. II (2010)
- On the irreducible representations of a finite semigroup (2009)
- A brief review of abelian categorifications (2009)
- On Kiselman's semigroup (2009)
- On three approaches to conjugacy in semigroups (2009)
- Applications of the Category of Linear Complexes of Tilting Modules Associated with the Category O (2009)
- Simple modules over factorpowers (2009)
- Regular strongly typical blocks of O-q (2009)
- Combinatorial Gelfand models for some semigroups and $q$-rook monoid algebras (2009)
- Idempotent subquotients of symmetric quasi-hereditary algebras (2009)
- Quadratic Duals, Koszul Dual Functors, and Applications (2009)
- A COMBINATORIAL APPROACH TO FUNCTORIAL QUANTUM sl(k) KNOT INVARIANTS (2009)
- Partialization of categories and inverse braid-permutation monoids (2008)
- On classification of maximal nilpotent subsemigroups (2008)
- A categorification of integral Specht modules (2008)
- On the semigroup of square matrices (2008)
- Schur-Weyl dualities for symmetric inverse semigroups (2008)
- Multicommutators and multianticommutators of orthogonal projections (2008)
- Projective-injective modules, Serre functors and symmetric algebras (2008)
- Categorification of (induced) cell modules and the rough structure of generalised Verma modules (2008)
- Categorification of Wedderburn's basis for C[S-n] (2008)
- Isolated subsemigroups in the variants of Tn (2008)
- Koszul duality for extension algebras of standard modules (2007)
- On conjugation in some transformation and Brauer-type semigroups (2007)
- Faithful group actions on rooted trees induced by actions of quotients (2007)
- Some homological properties of the category O (2007)
- On functors associated to a simple root (2007)
- Classification of simple weight Virasoro modules with a finite-dimensional weight space (2007)
- Representation type of H-infinity(lambda)mu(1) (2006)
- Properly stratified algebras and tilting (2006)
- L- and R- cross-sections in the Brauer semigroup (2006)
- On presentations of Brauer-type monoids (2006)
- Combinatorics and distributions of partial injections (2006)
- Some remarks on the combinatorics of IS_n (2005)
- A twisted approach to Kostant's problem (2005)
- On Arkhipov's and Enright's functors (2005)
- Finitistic dimension and tilting modules for stratified algebras (2005)
- A pairing in homology and the category of linear complexes of tilting modules for a quasi-hereditary algebra (2005)
- Translation and shuffling of projectively presentable modules and a categorification of the parabolic Hecke module (2005)
- Complete reducibility of torsion free C_n-modules of finite degree (2004)
- On finitistic dimension of stratified algebras (2004)
- On simple mixed modules over the Virasoro algebra (2004)
- Stratified algebras arising in Lie theory (2004)
- Combinatorics of nilpotents in symmetric inverse semigroups (2004)
- Structure of modules induced from simple modules with minimal annihilator (2004)
- Finitistic dimension of properly stratified algebras (2004)
- Radical *-doubles of finite-dimensional algebras (2004)
- *-representation type of *-doubles of finite-dimensional algebras (2004)
- On quasicrystal Lie algebras (2002)
Books
- Lectures on algebraic categorification (2012)
- Lectures on sl_2(C)-modules (2010)
- Classical finite transformation semigroups (2009)
Chapters
Conferences
Reports
- A categorification of integral Specht modules (2006)
- Partialization of categories and inverse braid-permutation monoid (2006)
- Presentation of the singular part of the Brauer monoid (2006)
- Some homological properties of the category O (2006)
- Quadratic duals, Koszul dual functors, and applications (2006)
- Multicommutators and multianticommutators of orthogonal projections (2006)
- Applications of the category of linear complexes of tilting modules associated with the category O (2005)
- A twisted approach to Kostant's problem (2005)
- On nilpotent subsemigroups in some matrix semigroups (2005)
- On classification of maximal nilpotent subsemigroups (2005)
- On Kiselman's semigroup (2005)
- On presentations of Brauer-type monoids (2005)
- On braid groups acting on rooted trees and related constructions (2005)
- Projective-injective modules, Serre functors and symmetric algebras (2005)
- Isolated subsemigroups in the variants of Tn (2005)
- Classification of simple weight Virasoro modules with a finite-dimensional weight space (2005)
- Some remarks on the combinatorics of ISn (2004)
- On finitistic dimension of stratified algebras (2004)
- Representation type of (2004)
- Koszul duality for extension algebras of standard modules (2004)
- On conjugation in some transformation and Brauer-type semigroups (2004)
- L- and R-cross-sections in the Brauer semigroup (2004)
- A pairing in homology and the category of linear tilting complexes for a quasi-hereditary algebra (2004)
- On functors associated to a simple root (2004)
- Properly stratified algebras and tilting (2003)
- Combinatorics and distributions of partial injections (2003)
- On Arkhipov's and Enright's functors (2003)
- Finitistic dimension and tilting modules for stratified algebras (2003)
- Finitistic dimension of properly stratified algebras (2003)
