Chris Brav

简历

Christopher Brav自2024年8月起加入上海数学与交叉学科研究院。此前，他曾任莫斯科物理技术学院纯数学中心首席科学家。他于2008年在女王大学获得数学博士学位，随后在多伦多大学、汉诺威莱布尼茨大学及牛津大学从事博士后研究。他曾在普林斯顿高等研究院一年，并曾任教于莫斯科高等经济学院数学系。

Christopher Brav的研究聚焦于卡拉比-丘范畴（卡拉比-丘流形的非交换类比）与模空间移位辛几何的关系，同时运用凝聚态数学研究表征理论与数学物理中出现的无限维移位辛空间。其研究成果发表于Compositio Mathematica、Geometry and Topology、美国数学会杂志及Selecta Mathematica等顶尖期刊。

教育经历

• 2008 Queen’s University, Kingston, Ontario 博士
• 2003 Queen’s University, Kingston, Ontario 硕士
• 2002 St. Olaf College, Northfield, USA 学士

工作经历

• 2022- Moscow Institute of Physics and Technology, Centre for Pure Mathematics, Dolgoprudny, Russia Lead Researcher
• 2020-2022 Higher School of Economics, Faculty of Mathematics, Moscow, Russia Associate Professor
• 2014-2020 Higher School of Economics, Faculty of Mathematics, Moscow, Russia 助理教授
• 2013-2014 Institute for Advanced Study, School of Mathematics, Princeton, USA 研究员
• 2011-2012 Oxford University, Mathematical Institute, Oxford, UK Post-doctoral fellow
• 2010-2011 Leibniz University, Graduiertenkolleg 1463: Analysis, Geometry and String Theory, Hannover, Germany Post-doctoral fellow
• 2008-2010 University of Toronto, Department of Mathematics, Toronto, Canada Post-doctoral fellow

荣誉和获奖

论著

1. Non-commutative calculus, connections, and loop spaces. Updated December 10, 2023 With N. Rozenblyum. In preparation.
2. Hamiltonian flows in Calabi-Yau categories. With N. Rozenblyum. In preparation.
3. Beilinson-Parshin adeles via solid algebraic geometry. With G. Konovalov. In preparation.
4. The cyclic Deligne conjecture and Calabi-Yau structures. With N. Rozenblyum. arXiv:2305.10323
5. Relative Calabi-Yau structures II: Shifted Lagrangians in the moduli space of objects. With T. Dyckerhoff. Selecta Mathematica 27, 63 (2021).
6. Relative Calabi-Yau structures. With T. Dyckerhoff. Compositio Mathematica 155, no. 2 (2019): 372-412.
7. A Darboux theorem for derived schemes with shifted symplectic structure. With V. Bussi, and D. Joyce. Journal of the American Mathematical Society 32, no. 2 (2019): 399-443.
8. A Darboux theorem for shifted symplectic structures on derived Artin stacks. With O. Ben-Bassat, V. Bussi, and D. Joyce. Geometry & Topology 19, no. 3 (2015): 1287-1359.
9. Symmetries and stabilization for sheaves of vanishing cycles. With V. Bussi, D. Dupont, D. Joyce, and B. Szendr˝oi. Journal of Singularities 11 (2015): 85-151.
10. Thin monodromy in Sp(4). With H. Thomas. Compositio Mathematica 150, no. 3 (2014): 333-343.
11. Braid groups and Kleinian singularities. With H. Thomas. Mathematische Annalen 351, no. 4 (2011): 1005-1017.
12. The projective McKay correspondence. International Mathematics Research Notices 2009, no. 8 (2009): 1355-1387.