Dr Piotr Warchoł

Contact

room D-2-35
piotr.warchol[at]uj.edu.pl
Tel: +48 12 664 4788


Piotr Warchoł photo

Do not hesitate to e-mail me in relation to any of the following.

General information

I am currently working as a research assistant at the Theory of Complex Systems Department of the Marian Smoluchowski Institute of Physics, Jagiellonian University, under supervision of Professor Maciej A. Nowak. My position is funded by the Maestro project: Interdisciplinary applications of Random Matrix Theory.

I received my Ph.D. in September 2014 after graduating from the Faculty of Physics, Astronomy and Applied Computer Science of the Jagiellonian University, through the MPD - International Ph.D. Studies in Physics of Complex Systems programme. Durring my studies I have spent fourteen months in the Institut de Physique Théorique in Saclay, France, collaborating with Professor Jean-Paul Blaizot.

As a recipient of the ETIUDA 1 scholarship I have spent the first half of 2015 as a visiting scholar in the Nuclear Theory Group of the Stony Brook University under the supervision of Professor Ismail Zahed.

As an undergraduate student within the Studies in Mathematics and Natural Sciences programme (SMP), I participated in the ERASMUS exchange, attending the Niels Bohr Institute of the Copenhagen University for one year.

I graduated the VLO, August Witkowski, high school and the 7th STO, Juliusz Słowacki, Gimnazium.


Research interests

Primarily, I work in the area of Random Matrix Theory (more precisely matrix valued stochastic processes), however I am also interested in

  • Statistical Physics,
  • Quantum Chromodynamics,
  • Information Theory,
  • Econophysics,
  • Complex Systems in general
and, in a less scientific context, in
  • emerging technologies,
  • data science,
  • data visualisation,
  • education
among others.

Papers

  • Ornstein-Uhlenbeck diffusion of hermitian and non-hermitian matrices - unexpected links
    J-P. Blaizot, J. Grela, M. A. Nowak, W. Tarnowski, P. Warchoł, [arXiv:1512.06599].
  • Hydrodynamical Description of the QCD Dirac Spectrum at Finite Chemical Potential
    Y Liu, P Warchol, I Zahed, PHYSICAL REVIEV D, 92, 114020, [arXiv:1507.05599].
  • Hydrodynamics of the Dirac Spectrum
    Y Liu, P Warchol, I Zahed, PHYSICS LETTERS B, 753, 303, [arXiv:1506.08787].
  • Hydrodynamics of the Polyakov Line in SU(Nc) Yang-Mills
    Y Liu, P Warchol, I Zahed, PHYSICS LETTERS B, 753, 65, [arXiv:1505.02107].
  • A prototype of a 3D bioprinter
    Jakub Mielczarek, Grzegorz Gazdowicz, Jakub Kramarz, Piotr Łątka, Marcin Krzykawski, Artur Miroszewski, Paweł Pieczarko, Renata Szczelina, Piotr Warchoł, Sonia Wróbel, SOLID STATE PHENOMENA, 237, 221.
  • Unveiling the significance of eigenvectors in diffusing non-hermitian matrices by identifying the underlying Burgers dynamics
    Z Burda, J Grela, MA Nowak, W Tarnowski, P Warchoł, NUCLEAR PHYSICS B, 897, 421, [arXiv:1503.06846].
  • Universal spectral shocks in random matrix theory - lessons for QCD
    ACTA PHYSICS POLONICA B, 46, 1785, J-P. Blaizot, J. Grela, M. A. Nowak, P. Warchoł, [acta.phys.pol.b].
  • Diffusion in the space of complex Hermitian matrices - microscopic properties of the averaged characteristic polynomial and the averaged inverse characteristic polynomial
    ACTA PHYSICS POLONICA B, 46, 1801, J-P. Blaizot, J. Grela, M. A. Nowak, P. Warchoł, [arXiv:1405.5244].
  • Dysonian dynamics of the Ginibre ensemble
    Z. Burda, J. Grela, M. A. Nowak, W. Tarnowski, P. Warchoł, PHYSICAL REVIEW LETTERS, 113, 104102, [arXiv:1403.7738].
  • Universal shocks in the Wishart random matrix ensemble. II. Nontrivial initial conditions
    J-P. Blaizot, M. A. Nowak, P. Warchoł, PHYSICAL REVIEW E, 89, 042130, [arXiv:1306.4014].
  • Burgers-like equation for spontaneous breakdown of the chiral symmetry in QCD
    J.-P. Blaizot, M. A. Nowak, P. Warchoł, PHYSICS LETTERS B, 06, 022, [arXiv:1303.2357].
  • Universal shocks in the Wishart random-matrix ensemble
    J.-P. Blaizot, M. A. Nowak, P. Warchoł, PHYSICAL REVIEW E, 87, 052134, [arXiv:1211.0029].

Theses


Other activities