Drozd Yuriy
Education
Diploma in Mathematics (Ms.S) 1966
Candidate of Science (Ph.D.) 1970
Doctor of Science (habilitation) 1982
Candidate of Science (Ph.D.) 1970
Doctor of Science (habilitation) 1982
Dissertations
Representations of cubic Z-rings (Ms.Sc.)
Some questions of the theory of integral representations (Ph.D)
Matrix methods in the theory of representations and rings (Habilitation)
Some questions of the theory of integral representations (Ph.D)
Matrix methods in the theory of representations and rings (Habilitation)
Research interests
1) Representation Theory
2) Algebraic Geometry
3) Algebraic Topology
2) Algebraic Geometry
3) Algebraic Topology
Experience
Institute of Mathematics of the NAS of Ukraine: principle researcher - from 2021
chairman of Department of Algebra and Topology (Dept. Algebra till 2015) 2006-2021
Kyiv National T. Shevchenko University: professor - 1998-2006
chairman of Division of Algebra and Mathematical Logic - 1980-1998
lecturer - 1973-1980
senior instructor - 1971-1973
instructor - 1969-1971
Harvard University: Visiting Scholar and Lecturer - 2022-2025
Max Plank Mathematical Institute: Researcher - 2022, 2017-2018, 2013-2014, 2009, 2005, 1999-2000
Universität Kaiserslautern: Professor - 1998-1999, 2001-2002
Universitète Loui Pasteur (Strasbourg): instructeur - 1998, 1999
Uppsala Universitet: professor - 2004
North-Eastern University (Boston, MA): lecturer - 2014
University of California (Santa Barbara): Lecturer - 1997
Universidade de São Paulo: Visiting Researcher: 1998, 2008, 2012
chairman of Department of Algebra and Topology (Dept. Algebra till 2015) 2006-2021
Kyiv National T. Shevchenko University: professor - 1998-2006
chairman of Division of Algebra and Mathematical Logic - 1980-1998
lecturer - 1973-1980
senior instructor - 1971-1973
instructor - 1969-1971
Harvard University: Visiting Scholar and Lecturer - 2022-2025
Max Plank Mathematical Institute: Researcher - 2022, 2017-2018, 2013-2014, 2009, 2005, 1999-2000
Universität Kaiserslautern: Professor - 1998-1999, 2001-2002
Universitète Loui Pasteur (Strasbourg): instructeur - 1998, 1999
Uppsala Universitet: professor - 2004
North-Eastern University (Boston, MA): lecturer - 2014
University of California (Santa Barbara): Lecturer - 1997
Universidade de São Paulo: Visiting Researcher: 1998, 2008, 2012
Talks on conferences
Singularities and Geometric Structures (Miami, FL, USA, 11-15/10/2024). Cohen-Macaulay modules over noncommutative surface singularities.
Algebraic and Geometric Methods of Analysis (Odesa, 27-30/05/2024). Group action on noncommutative curves
Maurice Auslander International Conference (Woods Hall, MA, USA, 24-29/04/2024). Nodal orders and action of groups.
Seminar "At the End of the Year" (Kyiv, 16-17/12/2024). Structure of nodal orders.
Algebraic and Geometric Methods of Analysis (Odesa, 29/05-1/06/05/2023). Backstro ̈m curves.
Maurice Auslander International Conference (Woods Hall, MA, USA, 26/04-1/05/2023). Representations of Munn algebras and Rees matrix semigroups.
XIV International Algebraic Conference in Ukraine (Sumy, 3-7/07/2023). On Backstr ̈om rings and group action.
Seminar "At the End of the Year" (Kyiv, 27-28/12/2022). Backstro ̈m rings.
Algebraic and Geometric Methods of Analysis (Odesa, 24-27/05/2022). Morita equivalence of non-commutative Noetherian schemes.
XII Conferernce of the Georgian Mathematical Union (Batumi, 29/08-3/09/2022). Grothendieck group of a locally finite category.
Seminar "At the End of the Year" (Kyiv, 27/12/2021). Morita theorem for varieties.
Algebraic and Geometric Methods of Analysis (Odesa, 25-28/05/2021).
XIII International Algebraic Conference in Ukraine (Kyiv, 6-9/07/2021). Representations and cohomologies of Kleinian 4-rings.
Recent trends in cryptology and cyber security (Kyiv, 11-22/05/2020). Tame and wild projective curves and classification of vector bundles.
Grothendieck group of a locally finite category. International Conference Devoted to the 60th Anniversary of the Chair of Algebra and Mathematical Logic of Kyiv Taras Shevchenko University. Kyiv, 2020, Book of Abstracts, p.33. https://drive.google.com/file/d/1gyNWN20TC6VO9mP3uRXw7uG9bg-3S_E7/view
Morita equivalence of non-commutative schemes. 12 International Algebraic Conference in Ukraine. Vinnytsia, 2019. Book of Abstracts, p.37.
Morita equivalence for non-commutative schemes. Interactions between Representation Theory and Homological Mirror Symmetry, University of Leicester, 2019.
https://sites.google.com/view/interactions-between-represent/abstracts
Categorical resolutions of singular curves. The 13th Summer School “Analysis, Topology and Applications”, Vyzhnytsya, 2018. Book of Abstracts, 13. http://www.math.lviv.ua/ata13/uk/Abstracts.pdf
Nodal curves and quasi-hereditary algebras. XI International Algebraic Conference in Ukraine. Kyiv, Book of Abstracts, 37. https://www.imath.kiev.ua/~algebra/iacu2017/abstracts
(with O.Tovpyha) Matrix factorization of Cohn-Macaulay modules over the plane curve singularity of type T44. XI International Algebraic Conference in Ukraine. Kyiv, Book of Abstracts, 38.
https://www.imath.kiev.ua/~algebra/iacu2017/abstracts
Stable homotopy types and representation theory. The 4th Conference of Mathematical Society of the Republic of Moldova, Chisinau, 2017. Procedings, 71-74. http://cmsm4.math.md/Proceedings_CMSM4.pdf
Non-commutative nodal curves and related algebras. Workshop and International Conference on Representations of Algebras, Syracuse, 2016. Conference Abstracts, 9.
http://icra2016.syr.edu/_PDFs/abstract-conf.pdf
On stable homotopy equivalence of polyhedra. XI Summer School "Algebra, Topology, Analysis", Odessa, 2016, 8-11. https://www.imath.kiev.ua/~topology/ata11/ata11_theses.pdf
Algebraic and Geometric Methods of Analysis (Odesa, 27-30/05/2024). Group action on noncommutative curves
Maurice Auslander International Conference (Woods Hall, MA, USA, 24-29/04/2024). Nodal orders and action of groups.
Seminar "At the End of the Year" (Kyiv, 16-17/12/2024). Structure of nodal orders.
Algebraic and Geometric Methods of Analysis (Odesa, 29/05-1/06/05/2023). Backstro ̈m curves.
Maurice Auslander International Conference (Woods Hall, MA, USA, 26/04-1/05/2023). Representations of Munn algebras and Rees matrix semigroups.
XIV International Algebraic Conference in Ukraine (Sumy, 3-7/07/2023). On Backstr ̈om rings and group action.
Seminar "At the End of the Year" (Kyiv, 27-28/12/2022). Backstro ̈m rings.
Algebraic and Geometric Methods of Analysis (Odesa, 24-27/05/2022). Morita equivalence of non-commutative Noetherian schemes.
XII Conferernce of the Georgian Mathematical Union (Batumi, 29/08-3/09/2022). Grothendieck group of a locally finite category.
Seminar "At the End of the Year" (Kyiv, 27/12/2021). Morita theorem for varieties.
Algebraic and Geometric Methods of Analysis (Odesa, 25-28/05/2021).
XIII International Algebraic Conference in Ukraine (Kyiv, 6-9/07/2021). Representations and cohomologies of Kleinian 4-rings.
Recent trends in cryptology and cyber security (Kyiv, 11-22/05/2020). Tame and wild projective curves and classification of vector bundles.
Grothendieck group of a locally finite category. International Conference Devoted to the 60th Anniversary of the Chair of Algebra and Mathematical Logic of Kyiv Taras Shevchenko University. Kyiv, 2020, Book of Abstracts, p.33. https://drive.google.com/file/d/1gyNWN20TC6VO9mP3uRXw7uG9bg-3S_E7/view
Morita equivalence of non-commutative schemes. 12 International Algebraic Conference in Ukraine. Vinnytsia, 2019. Book of Abstracts, p.37.
Morita equivalence for non-commutative schemes. Interactions between Representation Theory and Homological Mirror Symmetry, University of Leicester, 2019.
https://sites.google.com/view/interactions-between-represent/abstracts
Categorical resolutions of singular curves. The 13th Summer School “Analysis, Topology and Applications”, Vyzhnytsya, 2018. Book of Abstracts, 13. http://www.math.lviv.ua/ata13/uk/Abstracts.pdf
Nodal curves and quasi-hereditary algebras. XI International Algebraic Conference in Ukraine. Kyiv, Book of Abstracts, 37. https://www.imath.kiev.ua/~algebra/iacu2017/abstracts
(with O.Tovpyha) Matrix factorization of Cohn-Macaulay modules over the plane curve singularity of type T44. XI International Algebraic Conference in Ukraine. Kyiv, Book of Abstracts, 38.
https://www.imath.kiev.ua/~algebra/iacu2017/abstracts
Stable homotopy types and representation theory. The 4th Conference of Mathematical Society of the Republic of Moldova, Chisinau, 2017. Procedings, 71-74. http://cmsm4.math.md/Proceedings_CMSM4.pdf
Non-commutative nodal curves and related algebras. Workshop and International Conference on Representations of Algebras, Syracuse, 2016. Conference Abstracts, 9.
http://icra2016.syr.edu/_PDFs/abstract-conf.pdf
On stable homotopy equivalence of polyhedra. XI Summer School "Algebra, Topology, Analysis", Odessa, 2016, 8-11. https://www.imath.kiev.ua/~topology/ata11/ata11_theses.pdf
Miscellaneous
President of the Ukrainian Mathematical Society - from 2017