Petr Dunin-Barkowski

Assistant Professor:Faculty of Mathematics
Laboratory Head, Deputy Head:Faculty of Mathematics / International Laboratory of Cluster Geometry

Petr Dunin-Barkowski has been at HSE University since 2014.

Education and Degrees

2015
PhD
University of Amsterdam
2014
Candidate of Sciences* (PhD)
National Research Center 'Kurchatov Institute'
2011
Master's in Applied Mathematics and Applied Physics
Moscow Institute of Physics and Technology
2009
Bachelor's in Applied Mathematics and Applied Physics
Moscow Institute of Physics and Technology
2015 PhD

* 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.

Professional Interests

algebraic geometry mathematical physics knot invariants combinatorics

Awards and Accomplishments

Best Teacher – 2019, 2017

Young Faculty Support Program (Group of Young Academic Professionals)
Category "New Researchers" (2015-2016)

Courses (2022/2023)

Calculus (Bachelor’s programme; Faculty of Physics; 1 year, 1-4 module)Rus
Fourier Analysis (Bachelor’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Rus
Research Seminar "Introduction to the Quantum field Theory" (Optional course (faculty); 3, 4 module)Rus
Research Seminar "Smooth Manifolds" (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
Past Courses

Courses (2018/2019)

Calculus (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Discrete Mathematics (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 "Smooth Manifolds" (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-3 module)Rus

Courses (2017/2018)

Calculus (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Coverings and Galois Theory (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
Introduction to Topology (Smooth Manifolds) (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-3 module)Rus
Mechanics (Bachelor’s programme; Faculty of Mathematics; 2 year, 4 module)Rus

Courses (2016/2017)

Calculus (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus

Conferences

2021
7th Workshop on Combinatorics of Moduli Spaces, Cluster Algebras and Topological Recursion (Москва). Presentation: Explicit closed algebraic formulas for hypergeometric KP/generalized Hurwitz n-point functions
2019
Dynamics, Equations and Applications (DEA 2019) (Краков). Presentation: Loop equations and a proof of Zvonkine's qr-ELSV formula
2018
Workshop and School «Topological Field Theories, String theory and Matrix Models – 2018» (Москва). Presentation: On cut-and-join equation for monotone Hurwitz numbers
2017
Quantum information and topological recursion (Москва). Presentation: Proving topological recursion combinatorially for Hurwitz-type problems
2016
5th Workshop on Combinatorics of Moduli Spaces, Hurwitz numbers, and cohomological field theories (Москва). Presentation: Dubrovin's superpotential as a global spectral curve
2016 American Mathematical Society von Neumann Symposium (Шарлотт, Северная Каролина). Presentation: Topological Recursion and Givental's Formalism: Spectral Curves for Gromov-Witten Theories
2015
Geometric Invariants and Spectral Curves (Leiden). Presentation: Superpotential as a global spectral curve
Workshop and School "Quantum Geometry, Duality and Matrix Models" (Москва). Presentation: Dubrovin's superpotential as a global spectral curve

Publications²⁵

Article Dunin-Barkowski P., Popolitov A., Popolitova S. Evolution for Khovanov polynomials for figure-eight-like family of knots // International Journal of Modern Physics A. 2022. Vol. 37. No. 36. Article 2250216. doi
Article Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian, Shadrin S. Explicit closed algebraic formulas for Orlov–Scherbin n-point functions // Journal de l'Ecole Polytechnique - Mathematiques. 2022. Vol. 9. P. 1121-1158. doi
Article Dunin-Barkowski P., Kazaryan M., Popolitov A., Shadrin S., Sleptsov A. Topological Recursion for the extended Ooguri–Vafa partition function of colored HOMFLY-PT polynomials of torus knots // Advances in Theoretical and Mathematical Physics. 2022. Vol. 26. No. 4. P. 793-833. doi
Article Basalaev A., Dunin-Barkowski P., Natanzon S. M. Integrable hierarchies associated to infinite families of Frobenius manifolds // Journal of Physics A: Mathematical and Theoretical. 2021. Vol. 54. No. 11. P. 1-25. doi
Article Bychkov B., Dunin-Barkowski P., Shadrin S. Combinatorics of Bousquet-Mélou-Schaeffer numbers in the light of topological recursion // European Journal of Combinatorics. 2020. Vol. 90. P. 103184. doi
Article Dunin-Barkowski P., Popolitov A., Shadrin S., Sleptsov A. Combinatorial structure of colored HOMFLY-PT polynomials for torus knots. // Communications in Number Theory and Physics. 2019. Vol. 13. No. 4. P. 763-826. doi
Article Dunin-Barkowski P., Kramer R., Popolitov A., Shadrin S. Cut-and-join equation for monotone Hurwitz numbers revisited // Journal of Geometry and Physics. 2019. Vol. 137. P. 1-6. doi
Article Dunin-Barkowski P., Norbury P., Orantin N., Popolitov A., Shadrin S. Dubrovin's superpotential as a global spectral curve // Journal of the Institute of Mathematics of Jussieu. 2019. Vol. 18. No. 3. P. 449-497. doi
Article Dunin-Barkowski P., Orantin N., Popolitov A., Shadrin S. Combinatorics of loop equations for branched covers of sphere // International Mathematics Research Notices. 2018. Vol. 2018. No. 18. P. 5638-5662. doi
Chapter Dunin-Barkowski P., Norbury P., Orantin N., Popolitov A., Shadrin S. Primary invariants of Hurwitz Frobenius manifolds, in: Proceedings of Symposia in Pure Mathematics Vol. 100: Topological Recursion and its Influence in Analysis, Geometry, and Topology. Providence : American Mathematical Society, 2018. P. 297-331. doi
Chapter Dunin-Barkowski P. Topological recursion and Givental’s formalism: Spectral curves for Gromov-Witten theories, in: Proceedings of Symposia in Pure Mathematics Vol. 100: Topological Recursion and its Influence in Analysis, Geometry, and Topology. Providence : American Mathematical Society, 2018. P. 231-295. doi
Article Dunin-Barkowski P., Popolitov A., Shadrin S., Sleptsov A. Combinatorial structure of colored HOMFLY-PT polynomials for torus knots // Working papers by Cornell University. Series math "arxiv.org". 2017. Vol. 1712. No. 08614. P. 1-38.
Article Dunin-Barkowski P., Mulase M., Norbury P., Popolitov A., Shadrin S. Quantum spectral curve for the Gromov-Witten theory of the complex projective line // Journal fuer die reine und angewandte Mathematik. 2017. Vol. 2017. No. 726. P. 267-289. doi
Chapter Dunin-Barkowski P. Dubrovin's superpotential as a global spectral curve, in: Oberwolfach reports Vol. 13. Issue 1. Zürich : European Mathematical Society Publishing house, 2016. doi P. 410-412.
Article Dunin-Barkowski P., Popolitov A., Shabat G., Sleptsov A. On the Homology of Certain Smooth Covers of Moduli Spaces of Algebraic Curves // Differential Geometry and its Application. 2015. Vol. 40. P. 86-102. doi
Article Dunin-Barkowski Petr, Kazarian Maxim, Orantin N., Shadrin S., Spitz L. Polynomiality of Hurwitz numbers, Bouchard-Mariño conjecture, and a new proof of the ELSV formula // Advances in Mathematics. 2015. Vol. 279. P. 67-103. doi
Article Dunin-Barkowski P., Lewanski D., Popolitov A., Shadrin S. Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson–Pandharipande–Tseng formula // Journal of London Mathematical Society. 2015. Vol. 92. No. 3. P. 547-565. doi
Article Dunin-Barkowski P., Orantin N., Shadrin S., Spitz L. Identification of the Givental Formula with the Spectral Curve Topological Recursion Procedure // Communications in Mathematical Physics. 2014. Vol. 328. No. 2. P. 669-700. doi
Article Dunin-Barkowski P., Sleptsov A., Stern A. "NSR superstring measures in genus 5" // Nuclear Physics B. 2013. Vol. 873. No. 1. P. 106-126.
Article Dunin-Barkowski P., Shadrin S., Spitz L. Givental Graphs and Inversion Symmetry // Letters in Mathematical Physics. 2013. Vol. 103. No. 5. P. 533-557.
Article Dunin-Barkowski P., Sleptsov A., Smirnov A. Kontsevich Integral for Knots and Vassiliev Invariants // International Journal of Modern Physics A. 2013. Vol. 28. No. 17
Article Dunin-Barkowski P., Mironov A., Morozov A., Sleptsov A., Smirnov A. Superpolynomials for torus knots from evolution induced by cut-and-join operators // Journal of High Energy Physics. 2013. Vol. 3. No. 021
Article Dunin-Barkowski P., Smirnov A., Sleptsov A. "Explicit computation of the Drinfeld associator in the case of the fundamental representation of gl(N)", // Journal of Physics A: Mathematical and Theoretical. 2012. Vol. 45. No. 38. P. 533-557.
Article Dunin-Barkowski P., Sleptsov А. Geometric Hamiltonian formalism for reparameterization-invariant theories with higher derivatives // Theoretical and Mathematical Physics. 2009. Vol. 158. No. 1. P. 61-81.
Article Dunin-Barkowski P., Morozov А., Sleptsov А. Lattice theta constants vs Riemann theta constants and NSR superstring measures // Journal of High Energy Physics. 2009. Vol. 10. No. 072

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