Valentina Kiritchenko

Research Fellow:Laboratory of Algebraic Geometry and Its Applications
Professor:Faculty of Mathematics / Joint Department with the Kharkevich Institute for Information Transmission Problems (RAS)

Member of the HSE Academic Council

Valentina Kiritchenko has been at HSE University since 2010.

Education and Degrees

2019
Doctor of Sciences*
HSE University
2004
PhD in Mathematical Logic, Algebra and Number Theory
University of Toronto
Thesis Title: A Gauss-Bonnet theorem, Chern classes and an adjunction formula for reductive groups
2004
Candidate of Sciences* (PhD) in Mathematical Logic, Algebra and Number Theory
2001
Degree
Independent University of Moscow

* 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.

* Doctor of Sciences
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.

Professional Interests

algebraic groups Spherical varieties theory of Newton polytopes Schubert calculus algebraic cobordism

Research interests

Algebraic geometry (algebraic groups, spherical varieties, theory of Newton polytopes, Schubert calculus, algebraic cobordism)

Awards and Accomplishments

Best Teacher – 2023, 2022, 2021, 2019
Winner of the HSE University Best Russian Research Paper Competition – 2022

Young Faculty Support Program (Group of Young Academic Professionals)
Category "Future Professoriate" (2013)

Courses (2023/2024)

Algebra (Bachelor’s programme; Faculty of Mathematics; 3 year, 1, 2 module)Rus
Algebra (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
Algebra (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-3 module)Rus
Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Past Courses

Courses (2022/2023)

Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Introduction to Number Theory (Optional course (faculty); 3, 4 module)Rus

Courses (2021/2022)

Algebra in Criptography (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
Research Seminar "Trivium. Mathematics" (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 1 year, 1-4 module)Rus

Courses (2020/2021)

Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Research Seminar "Trivium. Mathematics" (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 1 year, 1-4 module)Rus

Courses (2019/2020)

Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Research Seminar "Mathematics Practical Training" (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Research Seminar "Trivium. Mathematics" (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 1 year, 1-4 module)Rus

Courses (2018/2019)

Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Research Seminar "Convex and Algebraic Geometry 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
Research Seminar "Convex and Algebraic Geometry 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng

Courses (2017/2018)

Algebra (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 1 year, 1-4 module)Rus
Foundations of Algebra and Geometry (Minor; Faculty of Mathematics; 1, 2 module)Rus
Mathematical Computations (Bachelor’s programme; Faculty of Mathematics; 2 year, 4 module)Eng
Research Seminar "Convex and Algebraic Geometry 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
Research Seminar "Convex and Algebraic Geometry 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng

Conferences

2021
IMPANGA20 (Bedlewo). Presentation: Convex geometric push-pull operators
2019
Representation theory of Lie groups, mathematical physics, and combinatorics (Реймс). Presentation: Newton-Okounkov convex bodies and representation theory
2017
Beyond Toric Geometry (Оаксака). Presentation: Symplectic Gelfand-Zetlin polytopes and Schubert calculus
Interactions with Lattice Polytopes (Магдебург). Presentation: Interactions of representation theory with lattice polytopes
Symmetric Spaces and their Generalisations III (Тренто). Presentation: Newton-Okounkov polytopes and Schubert calculus
Transformation groups 2017 (Москва). Presentation: Schubert calculus on Newton-Okounkov polytopes
2016
Nilpotent Orbits and Representation Theory (Пиза). Presentation: Newton-Okounkov polytopes of flag varieties
Workshop on Convexity in Algebraic Geometry (Торонто). Presentation: Newton-Okounkov polytopes of Bott-Samelson varieties

Dissertation for a degree of Doctor of Science

2019

V. Kiritchenko Geometry of Spherical varieties and Newton-Okounkov Polytopes

Publications²⁷

Article Kiritchenko V. Push–pull operators on convex polytopes // International Mathematics Research Notices. 2023. Vol. 2023. No. 4. P. 3305-3328. doi
Article Kiritchenko V., Dumanski I. Representations and degenerations // Oberwolfach Snapshots, Germany. 2022. Article SNAP-2022-007-EN. doi
Chapter Kiritchenko V., Padalko M. Schubert Calculus on Newton–Okounkov Polytopes, in: Interactions with Lattice Polytopes Magdeburg, Germany, September 2017. Springer, 2022. doi P. 233-249. doi
Preprint Kiritchenko V. Push-pull operators on convex polytopes / Cornell University. Series arXiv "math". 2020. (in press)
Article Kiritchenko V. Newton-Okounkov polytopes of flag varieties for classical groups // Arnold Mathematical Journal. 2019. Vol. 5. No. 2-3. P. 355-371. doi
Preprint Valentina Kiritchenko. Newton-Okounkov polytopes of Bott-Samelson varieties as Minkowski sums / Cornell University. Series arXiv "math". 2018.
Preprint Kiritchenko V., Padalko M. Schubert calculus on Newton-Okounkov polytopes / Cornell University. Series arXiv "math". 2018.
Article Valentina Kiritchenko. Newton-Okounkov polytopes of flag varieties // Transformation Groups. 2017. Vol. 22. No. 2. P. 387-402. doi
Chapter Valentina Kirichenko. Divided difference operators on polytopes, in: Advanced Studies in Pure Mathematics, Volume 71, Schubert Calculus --- Osaka 2012 Edited by H. Naruse, T. Ikeda, M. Masuda and T. Tanisaki. Mathematical Society of Japan, 2016. Ch. 6. P. 161-185.
Article Valentina Kiritchenko. Geometric mitosis // Mathematical Research Letters. 2016. Vol. 23. No. 4. P. 1069-1096.
Article Kiritchenko V., Smirnov E., Timorin V. Ideas of Newton-Okounkov bodies // Snapshots of modern mathematics from Oberwolfach. 2015
Article Altmann K., Kiritchenko V., Petersen L. Merging divisorial with colored fans // Michigan Mathematical Journal. 2015. Vol. 64. P. 3-38. doi
Preprint Kiritchenko V. Geometric mitosis / Cornell University. Series math "arxiv.org". 2014.
Chapter Valentina Kiritchenko. Geometric mitosis and Newton-Okounkov polytopes, in: Oberwolfach Reports Vol. 11. Issue 2. Zürich : European Mathematical Society Publishing house, 2014. doi P. 1484-1487. doi
Article Kiritchenko Valentina, Timorin Vladlen, Gusev P. Counting vertices in Gelfand-Zetlin polytopes // Journal of Combinatorial Theory, Series A. 2013. Vol. 120. P. 960-969. doi
Preprint Valentina Kiritchenko. Divided difference operators on polytopes / Cornell University. Series math "arxiv.org". 2013. No. 1307.7234.
Article Kiritchenko Valentina, Krishna A. Equivariant cobordism of flag varieties and of wonderful symmetric varieties // Transformation Groups. 2013. Vol. 18. No. 2. P. 391-413.
Preprint Altmann K., Kiritchenko V., Petersen L. Merging divisorial with colored fans / Cornell University. Series math "arxiv.org". 2013. No. 1210.4523v2.
Chapter Kiritchenko V. Divided difference operators on convex polytopes, in: Oberwolfach Reports Issue 9. Oberwolfach : European Mathematical Society Publishing house, 2012. P. 5-7.
Book International Conference «Algebra and Geometry» (Askoldfest) dedicated to the 65-th anniversary of Askold G. Khovanskii. Book of abstracts / Сост.: V. Kiritchenko, V. Timorin. M. : Higher School of Economics Publishing House, 2012.
Article Kiritchenko V., Smirnov E., Timorin V. Schubert calculus and Gelfand-Zetlin polytopes / Пер. с рус. // Russian Mathematical Surveys. 2012. Vol. 67. No. 4. P. 685-719. doi
Article Kiritchenko V., Timorin V., Smirnov E. Convex chains for Schubert varieties // Oberwolfach Reports. 2011. Vol. 8. No. 3. P. 2341-2344.
Article Kiritchenko V., Hornbostel J. Schubert calculus for algebraic cobordism // Journal fuer die reine und angewandte Mathematik. 2011. No. 656. P. 59-85.
Article Kiritchenko V. Gelfand-Zetlin polytopes and flag varieties // International Mathematics Research Notices. 2010. No. 13. P. 2512-2531.
Article Kiritchenko V. On intersection indices of subvarieties in reductive groups // Moscow Mathematical Journal. 2007. Vol. 7. No. 3. P. 489-505.
Article Kiritchenko V. Chern classes of reductive groups and an adjunction formula // Annales de l'Institut Fourier. 2006. Vol. 56. No. 4. P. 1225-1256.
Article Kiritchenko V. A Gauss-Bonnet theorem for constructible sheaves on reductive groups // Mathematical Research Letters. 2002. Vol. 9. No. 6. P. 791-800.

Personal webpage

http://www.mccme.ru/~valya

Selected presentations

The many faces of polytopes, popularizing lecture from the cycle "Mathematics: difficult made easy" (in Russian), May 2013

The other presentations can be found here

Grants

2013	President of the RF grant MK-983.2013.1, ''Polytopes, algebraic torus actions and automorphism groups''
2010	RFBR grant 10-01-00540-a "Cohomology of spherical varieties and Newton polytopes"

Mathematical awards

2010-2012	Dynasty Foundation Award, http://www.mccme.ru/dfc/
2001-2004	Connaught Graduate Scholarship, University of Toronto
1998-1999	Mayor of Moscow Undergraduate Scholarship

Conference talks

2014	Seoul ICM 2014 Satellite Conference on Topology of Torus Actions and Applications to Geometry and Combinatorics, Daejeon, Korea
	Oberwolfach mini-workshop on Okounkov bodies and applications, Oberwolfach, Germany
	BIRS workshop on Okounkov Bodies and Representation Theory, Banff, Canada
2013	Christmas mathematical meetings of Dynasty foundation, Moscow, Russia
2012	Banff workshop on Lie algebras, torsors and cohomological invariants, Banff, Canada
	The 5th MSJ-SI Schubert calculus, Osaka, Japan
	Oberwolfach workshop on toric geometry, Oberwolfach, Germany
2011	Oberwolfach mini-workshop on Newton-Okounkov bodies, Oberwolfach, Germany
	International Conference "IITP RAS 50 years", Moscow
2010	ICM2010 Satellite conference on Complex Geometry, Group actions and Moduli spaces, Hyderabad, India
	Oberwolfach workshop on algebraic groups, Oberwolfach, Germany
2009	Oberwolfach workshop on toric geometry, Oberwolfach, Germany
2007	International Conference "Transformation groups", Moscow
	Banff workshop on Group Embeddings: Geometry and Representation Theory, Banff, Canada

Conferences organized

Algebra and Geometry , International Conference dedicated to the 65-th anniversary of Askold G. Khovanskii, June 4 - 9, 2012, Moscow, Russia

Professional membership

Moscow Mathematical socielty

Timetable for today

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Full timetable

Nov

2021

Topology of Torus Actions and Related Topics Conference Takes Place

The international conference Topology of Torus Actions and Related Topics organized by the International Laboratory of Algebraic Topology and its Applications and Sirius Mathematical Centre was held in Sochi on October 25-29.