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!

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!

• Studies of the relation between 3d and 4d quivers using physics, topology and algebra; with
  
  
  
  • P. Longhi (Uppsala U.)
  
  
  • D. Noshchenko (Dublin Inst. of Advanced Studies)
  
  
  • S. Park (Harvard U.)
  
  
  • P. Sułkowski (U. of Warsaw)
  
  
  
  


• Search for direct relation between knot diagrams and quivers; with
  
  
  
  • S. Chauhan (Uppsala U.)
  
  
  • D. Noshchenko (DIAS)
  
  
  • Ramadevi P. (Indian Inst. of Tech.)
  
  
  • V. Singh (New York U. Abu Dhabi)
  
  
  • M. Stosic (Technical U. of Lisbon)
  
  
  
  


• Studies of quiver equivalences using machine learning methods; with
  
  
  
  • O. Al-Khazali (U. of Sharjah)
  
  
  • V. Jejjala (U. of Witwatersrand)
  
  
  • B. Lewandowski (U. of Warsaw)
  
  
  • P. Roy (U. of Witwatersrand)
  
  
  
  


• Studies of knot-quiver correspondence using machine learning methods; with
  
  
  
  • O. Al-Khazali (U. of Sharjah)
  
  
  • P. Hervas (Technical U. of Madrid)
  
  
  • H. Larraguivel (Jagiellonian U.)
  
  
  • B. Lewandowski (U. of Warsaw)
  
  
  • P. Roy (U. of Witwatersrand)
  
  
  • T. Malinowski (U. of Warsaw)
  
  
  • D. Noshchenko (DIAS)
  
  
  • C. Perez (Hedelberg U.)
  
  
  • V. Singh (New York U. Abu Dhabi)
  
  
  
  

• Studies of the relation between 3d and 4d quivers using physics, topology and algebra; with
  
  
  
  • P. Longhi (Uppsala U.)
  
  
  • D. Noshchenko (Dublin Inst. of Advanced Studies)
  
  
  • S. Park (Harvard U.)
  
  
  • P. Sułkowski (U. of Warsaw)
  
  
  
  


• Search for direct relation between knot diagrams and quivers; with
  
  
  
  • S. Chauhan (Uppsala U.)
  
  
  • D. Noshchenko (DIAS)
  
  
  • Ramadevi P. (Indian Inst. of Tech.)
  
  
  • V. Singh (New York U. Abu Dhabi)
  
  
  • M. Stosic (Technical U. of Lisbon)
  
  
  
  


• Studies of quiver equivalences using machine learning methods; with
  
  
  
  • O. Al-Khazali (U. of Sharjah)
  
  
  • V. Jejjala (U. of Witwatersrand)
  
  
  • B. Lewandowski (U. of Warsaw)
  
  
  • P. Roy (U. of Witwatersrand)
  
  
  
  


• Studies of knot-quiver correspondence using machine learning methods; with
  
  
  
  • O. Al-Khazali (U. of Sharjah)
  
  
  • P. Hervas (Technical U. of Madrid)
  
  
  • H. Larraguivel (Jagiellonian U.)
  
  
  • B. Lewandowski (U. of Warsaw)
  
  
  • P. Roy (U. of Witwatersrand)
  
  
  • T. Malinowski (U. of Warsaw)
  
  
  • D. Noshchenko (DIAS)
  
  
  • C. Perez (Hedelberg U.)
  
  
  • V. Singh (New York U. Abu Dhabi)