# Theory of Complex Systems Department

##
Marian Smoluchowski Institute of Physics

Jagiellonian University

# Dr Piotr Warchoł

## Contact

piotr.warchol[at]uj.edu.pl

Tel: +48 12 664

**4788**

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.

- CV in english (last updated September: 2014)
- CV in polish (last updated September: 2014)

## 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

- emerging technologies,
- data science,
- data visualisation,
- education

## Papers

**Ornstein-Uhlenbeck diffusion of hermitian and non-hermitian matrices - unexpected links**

J-P. Blaizot, J. Grela, M. A. Nowak, W. Tarnowski, P. Warchoł,-
**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,**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,**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

- PhD (Jagiellonian University, 2014, supervised by prof. Maciej. A. Nowak):
**Dynamic properties of random matrices - theory and applications**. - M.Sc. (Jagiellonian University, 2010, supervised by prof. Maciej. A. Nowak):
**Dynamics in Random Matrix Theory - toy model with spectral phase transition.**

## Other activities

- I co-organised the Biological Complexity in Cracow 2 conference.
- I am a member and the cofounder of the Complexity Garage.
- I was behind the idea for the art competition Nauka inspiracją sztuki. Od mikroświata do Wszechświata and served as a selection board member.
- Maintenance of this website is currently my responsibility.