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.

Education and Degrees

2008
PhD
Queen's University at Kingston
2003
Master's
Queen's University
2002
Bachelor's
St. Olaf College

Professional Interests

low-dimensional topology categorification quantisation derived algebraic geometry

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

Full list of of student term / thesis papers

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)

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

Courses (2015/2016)

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
2016
Deformation Quantization of Shifted Poisson Structures (Ватерлоо). Presentation: Relative non-commutative Calabi-Yau structures and shifted Lagrangians

Timetable for today

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Full timetable

Jul

2018

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.

Nov

2017

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.

Feb