个人简介
Dr van Garrel, Assistant Professor and Head of Student Experience.
联系方式
邮件：m.vangarrel@bham.ac.uk
任职及教育经历
PhD in Mathematics, California Institute of Technology, 2013
MSc in Mathematics, Swiss Federal Institute of Technology Lausanne, 2008
BSc in Mathematics, Swiss Federal Institute of Technology Lausanne, 2006
Propédeutique I in Physics, Swiss Federal Institute of Technology Lausanne, 2004
研究领域
Dr van Garrel is a researcher in algebraic geometry and mirror symmetry. He specialises in enumerative geometry, in particular log Gromov-Witten theory, in birational geometry, especially with regard to rationality questions and in the Gross-Siebert programme as the mechanism that explains mirror symmetry and constructs mirror families.
Among his most important contributions, Dr van Garrel initiated new unexpected correspondences of different enumerative theories in different dimensions, relating log, open and local Gromov-Witten invariants, quiver Donaldson-Thomas invariants as well as sheaf counting invariants of local Calabi-Yau fourfolds. Using the Gross-Siebert programme, he developed new instances of mirror symmetry for log Calabi-Yau surfaces with smooth boundary.
Dr van Garrel has organised 13 conferences that build on the growing research communities around these themes. Besides an online conference, these took place at Cambridge, Imperial, the Mathematical Research Institute of Oberwolfach and the Korea Institute for Advanced Study. In addition, Dr van Garrel is an organiser for the LMS Midlands Regional Meeting 2022 at the University of Birmingham. He has given invited talks in 12 countries on 3 continents. He was an invited speaker at the Algebraic Geometry Session of the British Mathematical Colloquium 2021.
近期学术出版物
Article
Bousseau, P, Brini, A & van Garrel, M 2022, 'On the log-local principle for the toric boundary', Bulletin of the London Mathematical Society, vol. 54, no. 1, pp. 161-181. https://doi.org/10.1112/blms.12566
Böhning, C, Graf von Bothmer, H-C & van Garrel, M 2022, 'Prelog Chow rings and degenerations', Rendiconti del Circolo Matematico di Palermo Series 2. https://doi.org/10.1007/s12215-022-00750-x
van Garrel, M, Brini, A & Bousseau, P 2022, 'Stable maps to Looijenga pairs', Geometry & Topology.
Choi, J, van Garrel, M, Katz, S & Takahashi, N 2021, 'Log BPS numbers of log Calabi-Yau surfaces', Transactions of the American Mathematical Society, vol. 374, no. 1, pp. 687-732. https://doi.org/10.1090/tran/8234
Böhning, C, Graf von Bothmer, H-C & van Garrel, M 2021, 'Prelog Chow groups of self-products of degenerations of cubic threefolds', European Journal of Mathematics. https://doi.org/10.1007/s40879-021-00510-8
Choi, J, van Garrel, M, Katz, S & Takahashi, N 2021, 'Sheaves of maximal intersection and multiplicities of stable log maps', Selecta Mathematica, New Series, vol. 27, no. 4, 61 . https://doi.org/10.1007/s00029-021-00671-0
Bousseau, P, Brini, A & van Garrel, M 2021, 'Stable maps to Looijenga pairs: orbifold examples', Letters in Mathematical Physics, vol. 111, no. 4, 109. https://doi.org/10.1007/s11005-021-01451-9
van Garrel, M, Choi, J, Katz, S & Takahashi, N 2020, 'Local BPS Invariants: Enumerative Aspects and Wall-Crossing', International Mathematics Research Notices, vol. 2020, no. 17. https://doi.org/10.1093/imrn/rny171
van Garrel, M, Ruddat, H & Graber, T 2019, 'Local Gromov-Witten invariants are log invariants', Advances in Mathematics, vol. 350.
Review article
van Garrel, M 2023, 'Stable maps to Looijenga pairs built from the plane', Proceedings of the Nottingham Algebraic Geometry Seminar.
