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Dr Timothy Logvinenko
Darllenydd
- LogvinenkoT@caerdydd.ac.uk
- +44 29208 75546
- Abacws, Ystafell Ystafell 3.61, Ffordd Senghennydd, Cathays, Caerdydd, CF24 4AG
- Ar gael fel goruchwyliwr ôl-raddedig
Trosolwyg
My research focuses on studying DG-categories and derived categories associated to algebraic varieties and applying the knowledge of them to solve problems in various areas of algebraic geometry, including orbifolds and the McKay correspondence, categorification problems, mirror symmetry, moduli spaces and quiver representations.
Personal website
Cyhoeddiad
2024
- Anno, R. and Logvinenko, T. 2024. Unbounded twisted complexes. Journal of Algebra 647, pp. 794-822. (10.1016/j.jalgebra.2024.01.039)
2022
- Anno, R. and Logvinenko, T. 2022. On uniqueness of P-twists. International Mathematics Research Notices 14, pp. 10533-10554., article number: rnaa371. (10.1093/imrn/rnaa371)
2021
- Anno, R. and Logvinenko, T. 2021. Bar category of modules and homotopy adjunction for tensor functors. International Mathematics Research Notices 2021(2), pp. 1353-1462. (10.1093/imrn/rnaa066)
2017
- Anno, R. and Logvinenko, T. 2017. Spherical DG-functors. Journal of the European Mathematical Society 19(9), pp. 2577-2656. (10.4171/JEMS/724)
- Cautis, S., Craw, A. and Logvinenko, T. 2017. Derived Reid's recipe for abelian subgroups of SL3(ℂ). Journal für die reine und angewandte Mathematik 2017(727), pp. 1-48. (10.1515/crelle-2014-0086)
2016
- Anno, R. and Logvinenko, T. 2016. Orthogonally spherical objects and spherical fibrations. Advances in Mathematics 286, pp. 338-386. (10.1016/j.aim.2015.08.027)
2012
- Anno, R. and Logvinenko, T. 2012. On adjunctions for Fourier-Mukai transforms. Advances in Mathematics 231(3-4), pp. 2069-2115. (10.1016/j.aim.2012.06.007)
2010
- Logvinenko, T. 2010. Reid's recipe and derived categories. Journal of Algebra 324(8), pp. 2064-2087. (10.1016/j.jalgebra.2010.04.012)
2009
- Cautis, S. and Logvinenko, T. 2009. A derived approach to geometric McKay correspondence in dimension three. Journal für die reine und angewandte Mathematik (Crelles Journal) 2009(636), pp. 193-236. (10.1515/CRELLE.2009.086)
2008
- Logvinenko, T. 2008. Derived McKay correspondence via pure-sheaf transforms. Mathematische Annalen 341(1), pp. 137-167. (10.1007/s00208-007-0186-z)
- Logvinenko, T. 2008. Natural G-constellation families. Documenta Mathematica 13, pp. 803-823.
Articles
- Anno, R. and Logvinenko, T. 2024. Unbounded twisted complexes. Journal of Algebra 647, pp. 794-822. (10.1016/j.jalgebra.2024.01.039)
- Anno, R. and Logvinenko, T. 2022. On uniqueness of P-twists. International Mathematics Research Notices 14, pp. 10533-10554., article number: rnaa371. (10.1093/imrn/rnaa371)
- Anno, R. and Logvinenko, T. 2021. Bar category of modules and homotopy adjunction for tensor functors. International Mathematics Research Notices 2021(2), pp. 1353-1462. (10.1093/imrn/rnaa066)
- Anno, R. and Logvinenko, T. 2017. Spherical DG-functors. Journal of the European Mathematical Society 19(9), pp. 2577-2656. (10.4171/JEMS/724)
- Cautis, S., Craw, A. and Logvinenko, T. 2017. Derived Reid's recipe for abelian subgroups of SL3(ℂ). Journal für die reine und angewandte Mathematik 2017(727), pp. 1-48. (10.1515/crelle-2014-0086)
- Anno, R. and Logvinenko, T. 2016. Orthogonally spherical objects and spherical fibrations. Advances in Mathematics 286, pp. 338-386. (10.1016/j.aim.2015.08.027)
- Anno, R. and Logvinenko, T. 2012. On adjunctions for Fourier-Mukai transforms. Advances in Mathematics 231(3-4), pp. 2069-2115. (10.1016/j.aim.2012.06.007)
- Logvinenko, T. 2010. Reid's recipe and derived categories. Journal of Algebra 324(8), pp. 2064-2087. (10.1016/j.jalgebra.2010.04.012)
- Cautis, S. and Logvinenko, T. 2009. A derived approach to geometric McKay correspondence in dimension three. Journal für die reine und angewandte Mathematik (Crelles Journal) 2009(636), pp. 193-236. (10.1515/CRELLE.2009.086)
- Logvinenko, T. 2008. Derived McKay correspondence via pure-sheaf transforms. Mathematische Annalen 341(1), pp. 137-167. (10.1007/s00208-007-0186-z)
- Logvinenko, T. 2008. Natural G-constellation families. Documenta Mathematica 13, pp. 803-823.
- Anno, R. and Logvinenko, T. 2012. On adjunctions for Fourier-Mukai transforms. Advances in Mathematics 231(3-4), pp. 2069-2115. (10.1016/j.aim.2012.06.007)
- Logvinenko, T. 2010. Reid's recipe and derived categories. Journal of Algebra 324(8), pp. 2064-2087. (10.1016/j.jalgebra.2010.04.012)
- Cautis, S. and Logvinenko, T. 2009. A derived approach to geometric McKay correspondence in dimension three. Journal für die reine und angewandte Mathematik (Crelles Journal) 2009(636), pp. 193-236. (10.1515/CRELLE.2009.086)
- Logvinenko, T. 2008. Derived McKay correspondence via pure-sheaf transforms. Mathematische Annalen 341(1), pp. 137-167. (10.1007/s00208-007-0186-z)
Ymchwil
Research interests
My research focuses on studying DG-categories and derived categories associated to algebraic varieties and applying the knowledge of them to solve problems in various areas of algebraic geometry, including:
- Orbifolds and the McKay correspondence
- Categorification problems
- Mirror symmetry
- Moduli spaces
- Quiver representations
Research group
Addysgu
Spring semester
- MA0212 - Linear Algebra
Bywgraffiad
Education
- BA – Mathematics, University of Cambridge (Mathematical Tripos, Part IIB), 1999
- MMath – Mathematics, University of Cambridge (Mathematical Tripos, Part III), 2000
- DPhil – Mathematics, University of Bath, 2004
- MA – University of Cambridge, 2001
Previous positions
- 2004-2006: JSPS Postdoctoral Fellowship (with Prof. Shigeru Mukai), RIMS, Kyoto University
- 2006 - 2008: Postdoctoral Fellowship, Institut Mittag-Leffler / KTH, Stockholm
- 2008 - 2010: Postdoctoral Fellowship, University of Liverpool, UK
- 2010 - 2013: Postdoctoral Researcher / Co-investigator (with Prof. Miles Reid) on an EPSRC research grant "Orbifolds and Birational Geometry", Mathematics Institute, University of Warwick, Coventry, UK
Aelodaethau proffesiynol
- Cymdeithas Mathemategol Ewrop
- Cymdeithas Mathemategol Llundain
Safleoedd academaidd blaenorol
- 2004-2006: JSPS Cymrodoriaeth Ôl-ddoethurol (gyda'r Athro Shigeru Mukai), RIMS, Prifysgol Kyoto
- 2006 - 2008: Cymrodoriaeth Ôl-ddoethurol, Institut Mittag-Leffler / KTH, Stockholm
- 2008 - 2010: Cymrodoriaeth Ôl-ddoethurol, Prifysgol Lerpwl, UK
- 2010 - 2013: Ymchwilydd Ôl-ddoethurol / Cyd-ymchwilydd (gyda'r Athro Miles Reid) ar grant ymchwil EPSRC "Orbifolds and Birational Geometry", Sefydliad Mathemateg, Prifysgol Warwick, Coventry, UK
- 2013 - 2016: Darlithydd, Prifysgol Caerdydd
- 2017 - 2020: Uwch Ddarlithydd, Prifysgol Caerdydd
- 2020 - presennol: Darllenydd, Prifysgol Cardff
Pwyllgorau ac adolygu
- Coleg Adolygu Cymheiriaid EPSRC
Meysydd goruchwyliaeth
Goruchwyliaeth gyfredol
Oscar Finegan
Myfyriwr ymchwil