Timothy Logvinenko
I am a Reader at the
School of Mathematics
of
Cardiff University.
I've completed my PhD in 2004 at the University of Bath, and
have since been a post-doctoral research fellow at RIMS (Kyoto),
Institut Mittag-Leffler/KTH (Stockholm) and at the University
of Warwick.
My full CV is available here.
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Address:
School of Mathematics,
Cardiff University,
Senghennydd Road,
Cardiff, CF24 4AG,
UK
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- Phone:
+44 29 2087 5546
- Fax:
+44 29 2087 4199
- E-mail:
LogvinenkoT at cardiff ac uk
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Research
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 and geometric representation theory,
including:
- Orbifolds and the McKay correspondence
- Categorification problems
- Mirror symmetry
- Moduli spaces
- Quiver representations
Seminars
I am the main organiser of the GiC algebraic geometry seminar:
I am also one of the organisers of the COW algebraic geometry seminar:
Conferences
Below is the list of conferences which I've organised and am
organising at present:
Publications
- “A∞-structures in
monoidal DG categories and strong homotopy unitality” with Rina
Anno and Sergey Arkhipov,
preprint arXiv:2303.11826.
- “Unbounded twisted
complexes” with Rina Anno,
J. Algebra
647 (2024), 794–822
- “The Heisenberg
category of a category” with Ádám Gyenge and Clemens
Koppensteiner,
accepted by Mem. Am. Math. Soc.
- “P^n-functors”
with Rina Anno,
preprint arXiv:1905.05740.
- “On uniqueness of
P-twists” with Rina Anno,
Int. Math. Res. Not.
2022 (2022), no. 14, 10533–10554,
- “Bar category of
modules and homotopy adjunction for tensor functors” with Rina
Anno,
Int. Math. Res. Not. 2021 (2021), no.
2, 1353–1462
- “Spherical DG-functors” with Rina Anno,
J. Eur. Math. Soc. 19 (2017), 2577–2656
- "How to calculate A-Hilb C^n for
1/r(a,b,1...1)" with Sarah Davis and Miles Reid,
submitted to the Rendiconti del Circolo Matematico di Palermo
(special Alg Geometry volume), 37 pp., 2012
- "Derived Reid's recipe
for abelian subgroups of SL3(C)" with Sabin Cautis and Alastair Craw,
Journal für die reine und angewandte Mathematik 727 (2017), 1-48
- "Orthogonally spherical
objects and spherical fibrations" with Rina Anno,
Advances in Mathematics 286 (2016), 338–86
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"Erratum to ‘A derived approach to geometric McKay correspondence in dimension
three’" with Sabin Cautis,
Journal für die reine und angewandte Mathematik
689 (2014), 243-244
- "On adjunctions for
Fourier-Mukai transforms" with Rina Anno,
Advances in Mathematics 231 (2012), no. 3-4, 2069–2115
- "Reid's recipe and
derived categories",
Journal of Algebra 324 (2010), no. 8, 2064–2087
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"A derived approach to geometric McKay correspondence in dimension
three" with Sabin Cautis,
Journal für die reine und angewandte Mathematik
636 (2009), 193–236
- "Derived McKay
correspondence via pure-sheaf transforms",
Mathematische Annalen 341 (2008), no. 1, 137–167
- "Natural
G-Constellation Families",
Documenta Mathematica 13 (2008), 803–823,
- "Families of
G-Constellations parametrised by resolutions of quotient
singularities",
University of Bath Ph.D. thesis, 140 pp., 2004
- "Families of
G-constellations over resolutions of quotient singularities",
Taiwan. J. Math., Advance Publication (2025),
DOI:
10.11650/tjm/250806,