About Me

I'm a theoretical physicist, an assistant professor and an associate dean for infrastructure at the Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszynski University in Warsaw (Poland). My research interests concern phenomenological, statistical and mathematical physics, in particular Neutrino physics and Category Theory in Quantum Mechanics and Quantum Field Theory. At present with dr hab. Piotr Sułkowski I also try characterize RNA and protein structures by topological characterization called genus.

Contact

Cardinal Stefan Wyszynski University
Faculty of Mathematics and Natural Sciences
ul. Woycickiego 1/3
01-938 Warsaw, Poland

s.zajac@uksw.edu.pl

Education

University of Silesia in Katowice

Doctor of Philosophy 17.09.2013

Advisor: prof. dr hab. Marek Zralek
Accelerator neutrino oscillations and their non-standard interactions (PL). View

Master of Science 27.06.2007

Advisor: dr hab. Jerzy Król
Some geometrical and topological methods in classical and quantum field theory.(PL) View

Bechelor of Science 27.06.2005

Advisor: dr hab. Jacek Syska
Time Series analysis with ARMA and ARIMA processes. Application in SAS. (PL) View

Music School in Rybnik, I and II degree

Musician 2004

Advisor: Franciszek Prus
Accordeon class.

Publications

Genus trace for biomolecules

S.Z., C. Geary, E.A. Andersen, P.Dabrowski-Tumanski, J.Sulkowska, P.Sulkowski
to appear

We introduce the notion of the genus trace, which describes dependence of genus on the choice of a subchain of a given backbone chain. We find that the genus trace encodes interesting physical and biological information about a given biomolecule and its three dimensional structural complexity. We illustrate this statement by showing how the genus trace captures properties of various types of base pairs in RNA, enables to identify a domain structure of a ribosome and of proteins, etc. We find that the shape of the genus trace can detect cooperative folding inside multidomain protein. We also conduct a survey of all published RNA structures better than 3 A resolution in the PDB database, and find that natural structural RNAs have a roughly linear relationship in genus complexity per unit length.

The discrete family symmetries as the possible solution to the flavour problem

B.Dziewit, J.Holeczek, M.Richter, M.Zralek, S.Z.
Physics of Atomic Nuclei Vol. 80, No. 4 (09.2017)

In order to explain the fermions masses and mixing parameters appearing in the lepton sector of the Standard Model, one proposes the extension of its symmetry. A discrete, non-abelian subgroup of U(3) is added to the gauge group SU(3)CxSU(2)LxU(1)Y . Apart from that, one assumes the existence of one extra Higgs doublet. This article focuses mainly on the mathematical theorems and computational techniques which brought us to the results. Springer - Physics of Atomic Nuclei, arXiv

Texture zeros in neutrino mass matrix

B.Dziewit, J.Holeczek, M.Richter, M.Zralek, S.Z.
Physics of Atomic Nuclei Vol. 80, No. 2 (07.2017)

The Standard Model does not explain the hierarchy problem. Before the discovery of nonzero lepton mixing angle theta13 high hopes in explanation of the shape of the lepton mixing matrix were combined with non-Abelian symmetries. Nowadays, assuming one Higgs doublet, it is unlikely that this is still valid. Texture zeroes, that are combined with abelian symmetries, are intensively studied. The neutrino mass matrix is a natural way to study such symmetries.
Springer - Physics of Atomic Nuclei, arXiv

The Flavour Problem and the Family Symmetry Beyond the Standard Model

B.Dziewit, J.Holeczek, M.Richter, M.Zralek, S.Z.
Acta Physica Polonica B46 (2015)

In the framework of a two Higgs doublet model, we try to explain lepton masses and mixing matrix elements assuming that neutrinos are Dirac particles. Discrete family symmetry groups, which are subgroups of U(3) up to the order of 1025 are considered. Like in the Standard Model with one Higgs doublet, we found that discrete family symmetries do not give satisfactory answer to these basic questions in the flavour problem.
Acta Phys. Polonica B, arXiv

Attempts at Explaining Neutrino Masses and Mixings Using Finite Horizontal Symmetry Groups

B.Dziewit, M.Zralek, S.Z.
Acta Physica Polonica B44 (2013)

A brief discussion about the current status of the search for the possible finite symmetry of a leptonic mass matrix is presented. Possible extensions of the models of leptons that can describe the masses and mixing elements are discussed.
Acta Phys. Polonica

Majorana neutrino mass matrix with CP symmetry breaking

B.Dziewit, M.Zralek, S.Z.
Acta Physica Polonica B42 (2011)

From the new existing data with not vanishing θ13 mixing angle we determine the possible shape of the Majorana neutrino mass matrix. We assume that CP symmetry is broken and all Dirac and Majorana phases are taken into account. Two possible approaches “bottom–up” and “top–down” are presented. The problem of unphysical phases is examined in detail.
Acta Phys. Polonica

The method of the likelihood and the Fisher information in the construction of physical models.

E.W.Piotrowski, J.Sładkowski, J.Syska, S.Z.
Physica Status Solidi B, 246 (2009)

The subjects of the paper are the likelihood method (LM) and the expected Fisher information (FI) considered from the point od view of the construction of the physical models which originate in the statistical description of phenomena. The master equation case and structural information principle are derived. Then, the phenomenological description of the information transfer is presented. The extreme physical information (EPI) method is reviewed. As if marginal, the statistical interpretation of the amplitude of the system is given. The formalism developed in this paper would be also applied in quantum information processing and quantum game theory.
Wiley Online LibraryarXiv

Neutrino Oscillations in the case of general interactions

J.Syska, M.Zralek, S.Z.
Acta Physica Polonica B438 (2009)

The process of the neutrino production, oscillation in the vacuum or in matter, and detection in the case of interactions which are beyond the Standard Model is considered. Neutrino states are described by the density matrix. The final neutrino production rate does not factorize. The known Maki–Nakagawa–Sakata neutrino states and the factorized production rate are recovered in the vSM regime.
Acta Phys. Polonica

Work experience

Data Analysis Expert

AMA Institute, Warsaw 10.2017

Associate Dean for Infrastructure

UKSW WMP.SNS, Warsaw 09.2016

Lecturer

Warsaw School of Economics, Warsaw 02.2016

Assistant Professor

UKSW WMP.SNS, Warsaw 09.2015

Junior Front End Developer

Maxymiser Oracle, Warsaw 11.2015-02.2016

NCN Opus Grant - neutrino physics

University of Silesia, Katowice 04.2014-04.2018

Lecturer

UKSW WMP.SNS, Warsaw 10.2013-09.2015

Postdoc - On topology, interating RNA and quantum physics

Warsaw University, Warsaw 09.2013-09.2014

Webpage programming in PHP and JS

GoWork, Warsaw 07.2013-01.2015

Statistical Analyst

Biostat, Rybnik 11.2011-01.2012

Software tester SI WCPR system

Wasko, Gliwice 07.2011-09.2011

Certificates

  • Data processing in SAS: part I (SAS 2017)
  • Data processing in SAS: macro language (SAS 2017)
  • Introduction to Machine Learning with Python (Sages 2017)
  • BigData Analysis with Apache Spark (ESSAM-ICM 2016)
  • Designing and creating OLAP cubes (SAS 2016)
  • Business analysis with SAS Visual Analytics (SGH, SAS 2016)
  • Introduction to Big Data and Apache Hadoop (Sages 2014)

Events

  • Category Theory in Physics, Mathematics and Philosophy
    Warsaw University of Technology, Warsaw,
    November 16-17, 2017.

    What is the role of category theory (in brief CT) in physics, mathematics and philosophy? Is CT just a useful language of some parts of mathematics and theoretical physics or are categories new structures that are important for these fields? How can categories be used in modern physics? What is the role of CT in the philosophy of mathematics? Is CT a new foundation of mathematics or is it a kind of organization of mathematics? Is the arrow-ontology of CT a new kind of ontology?
    The conference will address the questions mentioned above and issues that concern possible ways of applying CT in physics, mathematics and philosophy.

    Category Theory
  • Categoryfication in mathematical physics
    Stony Brook, USA,April 9-13, 2018.

    Categorification is one of the deepest ideas in contemporary mathematics. As the name indicates, it aims to generalize various statements to a categorical level, replacing sets by categories, functions by functors, etc. It led to important developments in various branches of mathematics, among others in knot theory (where polynomial knot invariants turned out to arise simply as dimensions of certain homological spaces, such as Khovanov homology and its generalizations), or in the algebro-geometric setting (involving objects such as coherent sheaves on Hilbert schemes of points). At the same time, categorification turns out to be related to physics, in particular to the process of quantization, and to various fundamental aspects of quantum field theory and string theory. This workshop will focus on various aspects of categorification in mathematical physics, with particular emphasis on geometric and representation theoretic approaches to conceptualizing and computing knot invariants, and their relations with supersymmetric field theories and string theory.

    Category Theory