dr hab. Piotr Kucharski adiunkt
Wydział Matematyki, Informatyki i Mechaniki
Field of study:
mathematics, physical sciences
Zainteresowania badawcze:
I work at the intersection of mathematics, physics, and sometimes machine learning. My research focuses on using quantum field theory and string theory approach to study low-dimensional topology, especially knots and 3-manifolds. I'm especially interested in the knot-quiver correspondence, its physical and geometric interpretations, structures hidden underneath, and generalisations to 3-manifolds. Recently, I also use machine learning methods to study knots and quivers. If you have any questions, feel free to write me an email at piotr.kucharski@mimuw.edu.pl. If you want we can also arrange a meeting online and discuss!
description of research interests:
I work at the intersection of mathematics, physics, and sometimes machine learning. My research focuses on using quantum field theory and string theory approach to study low-dimensional topology, especially knots and 3-manifolds. I'm especially interested in the knot-quiver correspondence, its physical and geometric interpretations, structures hidden underneath, and generalisations to 3-manifolds. Recently, I also use machine learning methods to study knots and quivers. If you have any questions, feel free to write me an email at piotr.kucharski">mailto:piotr.kucharski@mimuw.edu.pl">piotr.kucharski@mimuw.edu.pl. If you want we can also arrange a meeting online and discuss!
Realizowane projekty:
- Studies of the skein relations for quivers; with
- S. Chauhan (Uppsala U.)
- L. Nakamura (IMJ Paris)
- D. Noshchenko (DIAS)
- Ramadevi P. (Indian Inst. of Tech.)
- V. Singh (New York U. Abu Dhabi)
- M. Stosic (Technical U. of Lisbon)
- Studies of properties of quivers for knot complements; with
- P. Hervas (U. of Warsaw)
- D. Noshchenko (DIAS)
- P. Roy (U. of Warsaw)
- S. Sachdeva (HRI Prayagraj [Allahabad])
- Studies of knot-quiver correspondence using machine learning methods; with
- B. Hashemi (Max Planck Lepizig)
- P. Hervas (U. of Warsaw)
- V. Jejjala (U. of Witwatersrand)
- H. Larraguivel (Jagiellonian U.)
- B. Lewandowski (U. of Warsaw)
- P. Roy (U. of Warsaw)
- D. Noshchenko (DIAS)
- C. Perez (Hedelberg U.)
- V. Singh (New York U. Abu Dhabi)
research projects implemented:
- Studies of the skein relations for quivers; with
- S. Chauhan (Uppsala U.)
- L. Nakamura (IMJ Paris)
- D. Noshchenko (DIAS)
- Ramadevi P. (Indian Inst. of Tech.)
- V. Singh (New York U. Abu Dhabi)
- M. Stosic (Technical U. of Lisbon)
- Studies of properties of quivers for knot complements; with
- P. Hervas (U. of Warsaw)
- D. Noshchenko (DIAS)
- P. Roy (U. of Warsaw)
- S. Sachdeva (HRI Prayagraj [Allahabad])
- Studies of knot-quiver correspondence using machine learning methods; with
- B. Hashemi (Max Planck Lepizig)
- P. Hervas (U. of Warsaw)
- V. Jejjala (U. of Witwatersrand)
- H. Larraguivel (Jagiellonian U.)
- B. Lewandowski (U. of Warsaw)
- P. Roy (U. of Warsaw)
- D. Noshchenko (DIAS)
- C. Perez (Hedelberg U.)
- V. Singh (New York U. Abu Dhabi)
Słowa kluczowe:
fizyka matematyczna, topologia kwantowa, teoria strun, algebra, geometria, kombinatoryka, uczenie maszynowe, sztuczna inteligencja,
Key words:
mathematical physics, quantum topology, string theory, algebra, geometry, combinatorics, machine learning, artificial intelligence
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