# Theory of Complex Systems Department

##
Marian Smoluchowski Institute of Physics

Jagiellonian University

- Random Matrix Theory: Applications in the Information Era [April 29th - May 3rd 2019]

## About

The **Theory of Complex Systems Department** is a part of the Theory Departments Group of the Marian Smoluchowski Institute of Physics at the Jagiellonian University. It was formed in 2002 by disjoining from the Particle Theory Department.

In our research we tacle fundamental physics and interdisciplinary problems, both with analytical and numerical methods.

## Main research areas

- Quantum Gravity and Cosmology
- Random Matrix Theory
- String Theory and AdS/CFT correspondence
- Mathematical methods of theoretical physics applied to interdisciplinary problems

## Projects

Ongoing:

- Mark Kac Complex Systems Research Centre
- Sonata bis: Compact phase space field theories - from gravity to complex systems
- Sonata: Regulatory mechanisms for reproducible neural pattern specification in the developing spinal cord
- Sonata: Random Matrices and Information Measures
- Sonata: Impact of topology on phase structure of quantum gravity in Causal Dynamical Triangulations
- Sonata: Application of the complex systems theory in multidimensional fluctuation analysis of human brain EEG signals
- Polish Returns: Principles of information decoding in developmental systems

- Maestro: Quantum Gravity using the model of Causal Dynamical Triangulations
- Maestro: Interdisciplinary applications of Random Matrix Theory
- Maestro: From String Theory to Gauge Theory - the AdS/CFT correspondence
- Sonata: Cosmological restrictions on quantum theories of gravity
- Fuga: The evolution of the early Universe, from the inflation to the Planck scale, taking into account quantum-gravity corrections
- Fuga: Holography - foundations and applications
- Preludium: Statistical foundations in detection of modular structures in complex network
- MPD - International Ph.D. Studies in Physics of Complex Systems
- COCOS - Correlations in Complex Systems
- ENRAGE - European Network on Random Geometry
- ...

## Teaching

Open for JU students:

- Random Matrix Theory with applications
- Econophysics
- Introduction to Conformal Field Theory
- Introduction to String Theory
- Machine Learning
- Quantitative Modeling in Finance (In collaboration with HSBC)

- Quantum Mechanics III
- Non-perturbative Quantum Chromodynamics
- Classical Electrodynamics

- Java
- Monte Carlo Methods
- Logic and Set Theory
- Operating Systems

## Job openings

We currently have openings for **two postdocs** and **two PhD students**. These positions are funded by National Science Center Poland
(NCN) and Polish National Agency for Academic Exchange (NAWA).
The job announcements can be found on Dr. Marcin Zagórski webpage.