Christopher Ira Brav

Higher School of Economics, Faculty of Mathematics, Laboratory of Mirror Symmetry Ul. Usacheva 6 Moscow, Russia 119048

Employment Associate Professor Higher School of Economics 2020–present

Assistant Professor Higher School of Economics 2014–2020

Member Institute for Advanced Study 2013–2014

Post-doctoral fellow University of Oxford 2011–2013

Post-doctoral fellow Leibniz Universität Hannover 2010–2011

Post-doctoral fellow University of Toronto 2008–2010

Education Ph.D. Queen’s University 2008

M.Sc. Queen’s University 2003

B.A. St. Olaf College 2002

Research interests

Non-commutative, derived algebraic geometry, especially relations between string topology and shifted symplectic geometry

Publications

1. Relative Calabi-Yau structures II: Shifted Lagrangians in the moduli space of objects. C. Brav and T. Dyckerhoff. Selecta Mathematica 27, 63 (2021).
2. Relative Calabi-Yau structures. C. Brav and T. Dyckerhoff. Compositio Mathematica 155, no. 2 (2019): 372-412.
3. A Darboux theorem for derived schemes with shifted symplectic structure. C.Brav, V. Bussi, and D. Joyce. Journal of the American Mathematical Society 32, no. 2 (2019): 399-443.
4. A Darboux Theorem for shifted symplectic structures on derived Artin stacks. O. Ben-Bassat, C. Brav, V. Bussi, and D. Joyce. ”A ?Darboux theorem?for shifted symplectic structures on derived Artin stacks, with applications.” Geometry Topology 19, no. 3 (2015): 1287-1359.
5. Symmetries and stabilization for sheaves of vanishing cycles. C. Brav, V. Bussi, D. Dupont, D. Joyce, and B. Szendr˝ oi. Journal of Singularities 11 (2015): 85-151.
6. Thin monodromy in Sp(4). C. Brav and H. Thomas. Compositio Mathematica 150, no. 3 (2014): 333-343.
7. Braid groups and Kleinian singularities. C. Brav and H. Thomas. Mathematische Annalen 351, no. 4 (2011): 1005-1017.
8. The projective McKay correspondence. C. Brav. International Mathematics