Wojciech Politarczyk ☕️
Wojciech Politarczyk Voychieh Politarchyk

Assistant Professor

About Me

Currently I’m an Assistant Professor at the Faculty of Mathematics, Informatics and Mechanics of the University of Warsaw. I’m a low-dimensional topologist specializing in knot theory.

I obtained my PhD in 2015 at the Faculty of Mathematics and Computer Science of the Adam Mickiewicz University in Poznań under the supervision of Prof. Krzysztof Pawałowski.

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Interests
  • Low dimensional topology,
  • Knot theory – knot concordance and symmetries of knots and links,
  • Algebraic invariants of links and three-manifolds coming from twisted homology,
  • Quantum and categorified links invariants,
  • Surgery theory and its applications to four-manifolds,
Education
  • PhD in Mathematics

    Adam Mickiewicz University in Poznań

  • MSc in Mathematics

    Adam Mickiewicz University in Poznań

🧮 My Research 🧮

My research is focused on low-dimensional topology. I’m interested in the study of symmetries of knots and links. In particular, I’ve been studying applications of homological knot invariants (e.g. Khovanov-Rozansky homology and its variants) to problems concerning symmetries of knots and links.

Recently I’ve been thinking about concordance of knots in the presence of a strong involution and about applications of surgery theory to classification problems of topological four-manifolds.

📚 Recent Publications 📚
(2024). Twisted Blanchfield Pairings and Twisted Signatures III: Applications. Glasgow Mathematical Journal.
(2023). On the Slice Genus of Generalized Algebraic Knots. Journal of Knot Theory and Its Ramifications.
(2023). Torres-Type Formulas for Link Signatures. arXiv.
(2023). Nonslice Linear Combinations of Iterated Torus Knots. Algebraic & Geometric Topology.
(2022). Twisted Blanchfield Pairings and Twisted Signatures I: Algebraic Background. Linear Algebra and its Applications.
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