Vladimir Zhgoon
- Research Fellow:Laboratory of Algebraic Geometry and its Applications
- Associate Professor:Faculty of Mathematics
- Vladimir Zhgoon has been at HSE since 2011.
Education and Degrees
- 2008
Candidate of Sciences* (PhD)
- 2005
Diploma
Lomonosov Moscow State University
* Candidate of Sciences
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
Research interests
Algebraic geometry, Geometric invariant theory, actions of affine algebraic groups, spherical varieties, flag varieties, Hamiltonian varieties, Coxter groups
Student Term / Thesis Papers
- Bachelor
A. Zimin «On Geometry of Rational Curves on Complete Intersections and Homogeneous Varieties». Faculty of Mathematics, 2017
O. Trapeznikova «On Geometry of Rational Curves on К3 Surfaces». Faculty of Mathematics, 2016
Courses (2017/2018)
- Geometry (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 1 year, 1-4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 2 year, 1-4 module)Rus
- Past Courses
Courses (2015/2016)
- Algebra (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 2 year, 1-3 module)Rus
- Algebraic Geometry I (Optional course (faculty); Faculty of Mathematics; programme "ФАКУЛЬТАТИВЫ факультета математики"; 1, 2 module)Eng
- Algebraic Geometry II (Optional course (faculty); Faculty of Mathematics; programme "ФАКУЛЬТАТИВЫ факультета математики"; 3, 4 module)Eng
- Algebraic Surfaces 1 (Optional course (faculty); Faculty of Mathematics; programme "ФАКУЛЬТАТИВЫ факультета математики"; 1, 2 module)Rus
- Algebraic Surfaces 2 (Optional course (faculty); Faculty of Mathematics; programme "ФАКУЛЬТАТИВЫ факультета математики"; 3, 4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 2 year, 1-4 module)Rus
- Research Seminar "Geometric Structures on Manifolds 1" (Optional course (faculty); Faculty of Mathematics; programme "ФАКУЛЬТАТИВЫ факультета математики"; 1, 2 module)Eng
- Research Seminar "Geometric Structures on Manifolds 2" (Optional course (faculty); Faculty of Mathematics; programme "ФАКУЛЬТАТИВЫ факультета математики"; 3, 4 module)Eng
Courses (2014/2015)
- Algebraic Geometry (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 4 year, 3, 4 module)Rus
- Algebraic Geometry (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 3 year, 3, 4 module)Rus
- Reflection Groups, Coxeter Systems and Braid Groups 1 (Master’s programme; Faculty of Mathematics; programme "Mathematics"; 1 year, 1, 2 module)Rus
- Reflection Groups, Coxeter Systems and Braid Groups 2 (Master’s programme; Faculty of Mathematics; programme "Mathematics"; 1 year, 3, 4 module)Rus
- Research Seminar "Basic Notions of Algebraic Geometry 1" (Master’s programme; Faculty of Mathematics; programme "Mathematics"; 1 year, 1, 2 module)Rus
- Research Seminar "Basic Notions of Algebraic Geometry 2" (Master’s programme; Faculty of Mathematics; programme "Mathematics"; 1 year, 3, 4 module)Rus
- Research Seminar "Problems of the Theory of Reflection Groups 1" (Master’s programme; Faculty of Mathematics; programme "Mathematics"; 1 year, 1, 2 module)Rus
- Research Seminar "Problems of the Theory of Reflection Groups 2" (Master’s programme; Faculty of Mathematics; programme "Mathematics"; 1 year, 3, 4 module)Rus
Courses (2013/2014)
- Lie Groups and Lie Algebras (Bachelor’s programme; Faculty of Mathematics; 4 year, 3, 4 module)Rus
- Lie Groups and Lie Algebras (Bachelor’s programme; Faculty of Mathematics; 3 year, 3, 4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
Courses (2012/2013)
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Research Seminar "Problems in Commutative Algebra" (Master’s programme; Faculty of Mathematics; programme "Mathematical Physics"; 1 year, 1, 2 module)Rus
- Research Seminar "Problems in Commutative Algebra" (Master’s programme; Faculty of Mathematics; programme "Mathematics"; 1 year, 1, 2 module)Rus
- Research Seminar "Problems in Commutative Algebra" (Bachelor’s programme; Faculty of Mathematics; 4 year, 1, 2 module)Rus
- Research Seminar "Problems in Commutative Algebra" (Bachelor’s programme; Faculty of Mathematics; 1 year, 1, 2 module)Rus
- Research Seminar "Problems in Commutative Algebra" (Bachelor’s programme; Faculty of Mathematics; 3 year, 1, 2 module)Rus
- Research Seminar "Problems in Commutative Algebra" (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Research Seminar "Problems in Commutative Algebra" (Master’s programme; Faculty of Mathematics; programme "Algebra"; 2 year, 1, 2 module)Rus
Conferences
- 2015Algebraic varieties and their Moduli (Пиза). Presentation: On equidimentionality of the invariant moment maps
- 2014Lie algebras, algebraic groups and invariant theory (Moscow). Presentation: Свойства фактор отображения моментов симплектических многообразий с инвариантными лагранжевыми подмногообразиями
- наука будущего (science of the future) (Санкт Петербург). Presentation: Symplectic varieties with invariant Lagrangian subvarieties
- Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Геометрия Аракелова. Вторичные характеристические классы
- Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Геометрия Аракелова. Вторичные характеристические классы (2)
- Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Симплектические многообразия с инвариантными лагранжевыми подмногообразиями (по совместным работам с Д.А.Тимашевым)
- 2013Christmas meetings with Pierre Deligne, Рождественские встречи фонда «Династия» (Москва). Presentation: On generation of the little Weyl group by reflections and products of orthogonal reflections
Publications13
- Article Жгун В. С., Платонов В. П., Федоров Г. В. Непрерывные дроби в гиперэллиптических полях и представление Мамфорда // Доклады Академии наук. Математика. 2016. Т. 471. № 6:16 (in print)
- Article Жгун В. С. Малая группа Вейля и многообразие вырожденных орисфер // Чебышевский сборник. 2015. Т. 4. № 56. С. 164-187. (in print)
- Article Zhgoon V. On the Local Structure Theorem and equivariant geometry of cotangent bundles // Journal of Lie Theory. 2013. Vol. 23. P. 607-638.
- Article Платонов В. П., Жгун В. С., Петрунин М. М. К вопросу о простоте якобианов кривых рода 2 над полем рациональных чисел с точками кручения больших порядков // Доклады Академии наук. 2013. Т. 450. № 4. С. 385-388.
- Article Жгун В. С., Тимашев Д. Симплектические многообразия с инвариантными лагранжевыми подмногообразиями // Доклады Академии наук. 2012. Т. 443. № 4. С. 418-421.
- Article Жгун В. С. О вложениях универсальных торсеров над поверхностями дель Пеццо в конусы над многообразиями флагов // Известия Российской академии наук. Серия математическая. 2010. Т. 74. № 5. С. 3-44.
- Article Zhgoon V., Bibikov P. Angle measures of the cones associated with the reflection groups // Journal of Lie Theory. 2009. No. 19(4). P. 767-769.
- Article Жгун В. С., Бибиков П. В. О разбиениях, связанных с дискретными группами отражений // Известия Российской академии наук. Серия математическая. 2009. Т. 73. № 6. С. 29-38.
- Article Жгун В. С., Бибиков П. В. О теореме Вальдшпургера // Успехи математических наук. 2009. Т. 64. № 5(389). С. 177-178.
- Article Жгун В. С. Вариация фактора Мамфорда действия тора на многообразии полных флагов. II // Математический сборник. 2008. Т. 199. № 3. С. 25-44.
- Article Жгун В. С., Миронов Д. В. Separating systems of Weyl chambers // Математические заметки. 2007. № 82:2. С. 310-314.
- Article Жгун В. С., Миронов Д. В. Separating systems of Weyl chambers for the root system Dl // Успехи математических наук. 2007. № 62:6 (378). С. 171-172.
- Article Жгун В. С. Вариация фактора Мамфорда действия тора на многообразии полных флагов. I // Известия Российской академии наук. Серия математическая. 2007. Т. 71. № 6. С. 29-46.
