Christopher Ira Brav
- Research Fellow:International Laboratory for Mirror Symmetry and Automorphic Forms
- Assistant Professor:Faculty of Mathematics
- Christopher Ira Brav has been at HSE University since 2014.
Student Term / Thesis Papers
- Bachelor
D. Poliakova «Applications of the Homotopy Theory of DG Categories». Faculty of Mathematics, 2016
A. Konovalov «Motivic Invariants of DG Categories». Faculty of Mathematics, 2016
- Master
V. Kondratev «Explicit Selberg Fundamental Domains for Some Discrete Groups». Faculty of Mathematics, 2018
D. Poliakova «Cofibrant Resolutions in Cosimplicial DG Categories». Faculty of Mathematics, 2018
A. Konovalov «Additive Invariants of dg-categories». Faculty of Mathematics, 2018
V. Gavran «Rigidity of the Cotangent Bundle of the Hilbert Scheme of Points on a K3 Surface». Faculty of Mathematics, 2016
Courses (2019/2020)
- Introduction to Galois Theory (Bachelor’s programme; Faculty of Mathematics; 4 year, 3, 4 module)Eng
- Introduction to Galois Theory (Bachelor’s programme; Faculty of Mathematics; 3 year, 3, 4 module)Eng
Introduction to Galois Theory (Master’s programme; Faculty of Mathematics; field of study "01.04.01. Математика", field of study "01.04.01. Математика"; 1 year, 3, 4 module)Eng
Introduction to Galois Theory (Master’s programme; Faculty of Mathematics; field of study "01.04.01. Математика", field of study "01.04.01. Математика"; 2 year, 3, 4 module)Eng
- Introduction to Galois Theory (Bachelor’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Eng
- Research Seminar "An Introduction to Stacks" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Past Courses
Courses (2018/2019)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Algebra (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Discrete Mathematics (Bachelor’s programme; Faculty of Mathematics; 1 year, 1, 4 module)Rus
- Introduction to Galois Theory (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Courses (2017/2018)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Commutative Algebra (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Introduction to Discrete Mathematics (Bachelor’s programme; Faculty of Mathematics; 1 year, 4 module)Rus
- Research Seminar "Problems in Commutative Algebra" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
Courses (2016/2017)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Algebraic Geometry: a Start-up Course (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Commutative Algebra (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
Courses (2015/2016)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Dynamical Systems (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Introduction to Topology (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
Publications7
- Article Brav C. I., Bussi V., Joyce D. A Darboux theorem for derived schemes with shifted symplectic structure // Journal of the American Mathematical Society. 2019. No. 32. P. 399-443. doi
- Article Brav C. I. Relative Calabi-Yau structures // Compositio Mathematica. 2019. Vol. 155. No. 2. P. 372-412. doi
- Article Brav C. I., Ben-Bassat O., Bussi V., Joyce D. A ‘Darboux theorem’for shifted symplectic structures on derived Artin stacks, with applications // Geometry and Topology. 2015. Vol. 19. No. 3. P. 1287-1359. doi (in press)
- Article Brav C. I., Bussi V., Dupont D., Joyce D., Szendrői B. Symmetries and stabilization for sheaves of vanishing cycles // Journal of Singularities. 2015. Vol. 11. P. 85-151. doi
- Article Brav C. I., Thomas H. Thin monodromy in Sp(4) // Compositio Mathematica. 2014. Vol. 150. No. 3. P. 343-333. doi
- Article Brav C. I., Thomas H. Braid groups and Kleinian singularities // Mathematische Annalen. 2011. Vol. 351. No. 4. P. 1005-1017. doi
- Article Brav C. I. The projective McKay correspondence // International Mathematics Research Notices. 2009. No. 8. P. 1355-1387. doi
Conferences
- 2019
Colloquium Talk and Collaboration on Joint Projects at the University of Hamburg (Гамбург). Presentation: Non-commutative geometry and the moduli space of objects in a dg category
- 2018
Categorical and Analytic Invariants in Algebraic Geometry Ⅵ (Хоккайдо). Presentation: Differential forms and polyvector fields on the mother of all moduli spaces
- Noncommutative deformations and moduli spaces (Токио). Presentation: Joint course by Christopher Brav and Nick Rozenblyum: Derived deformation theory
- 2017
Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: Relative Calabi-Yau structures
- 2016Deformation Quantization of Shifted Poisson Structures (Ватерлоо). Presentation: Relative non-commutative Calabi-Yau structures and shifted Lagrangians
Summer Mathematics Programme Tailored to Students’ Research Interests
The HSE Summer University is off to a strong start this year, and one of its programmes – the Research Experience for Undergraduates (REU) in Mathematics – has already been met with considerable enthusiasm by participating students. Designed for undergraduate students majoring in Mathematics or related areas, participants work on research projects under the supervision of distinguished mathematicians.
Seminar on Teaching at HSE
On November, 22 International Faculty Support Unit has organized a peer-to peer workshop for international faculty members on teaching at HSE. The seminar enabled newcomers to get acquainted with specifics of the teaching process at HSE, and their more experienced colleagues had an opportunity to share their experience.
Mathematics Professor Calls Moscow Home
Christopher Brav, Assistant Professor in the Faculty of Mathematics, joined the Higher School of Economics in 2014 after holding several teaching and research positions abroad. The HSE news service recently had the opportunity to speak with him about his research interests, teaching philosophy and how he has settled into life in Moscow.
