Website of Ján Pulmann

Since May 2022, I am a postdoc at the School of Mathematics of the University of Edinburgh. My supervisor is Pavel Safronov. Previously, between September 2021 and March 2022, I was a postdoc at the University of Geneva, under Anton Alekseev. I completed a PhD in mathematics at the University of Geneva, under supervision of Pavol Ševera, in August 2021. You can also find my research profiles at arxiv, ORCID and Google Scholar.

In general, my research is in the area of mathematical physics. I am interested in operads, moduli spaces and their quantizations, often motivated by the quantum Chern-Simons theory.

In "Quantization of Poisson Hopf algebras", joint with Pavol Ševera, we quantizd of Poisson-Hopf algebras using the quantization of infinitesimally braided monoidal categories via a Drinfeld associator. This gives a new method of quantizing Lie bialgeras. Published in Advances in Mathematics.

In "A non-abelian duality for (higher) gauge theories", joint with Pavol Ševera and Fridrich Valach, we explained how different boundary conditions in the Batalin-Vilkovisky formalism lead to dual theories, generalizing the Poisson-Lie T-duality and the electromagnetic duality. Published in Advances in Theoretical and Mathematical Physics.

In "Renormalization group flow of Chern-Simons boundary conditions and generalized Ricci tensor", joint with Pavol Ševera and Donald Youmans we found a propagator for V+ boundary conditions and used it to study the renormalization group flow of this condition. Published in Journal of High Energy Physics.

In "Quantum L∞ Algebras and the Homological Perturbation Lemma", joint with Martin Doubek and Branislav Jurčo, we examined how the homological perturbation lemma gives rise to the Feynman diagrams computing the effective action in the BV formalism. Published in Communications in Mathematical Physics.

My PhD thesis, "On Quantization of Moduli Spaces and Poisson-Hopf Algebras", is available in the Archive ouvert UNIGE.

My bachelor and master theses are available at the archive of the Charles University:

Master thesis S-matrix and homological perturbation lemma completed under the supervision of Braňo Jurčo (2016)

Bachelor thesis Operads and field theory completed under the supervision of Braňo Jurčo (2014)

Try the physics lab on determining the Bohr radius of an hydrogen atom.