- "Introduction to Witt equivalence of fields" - slides from the lectures I gave while visiting Universite Savoie as a part of the LLP Erasmus exchange program.
- "Category of hypermodules with multi-valued morphisms" - not even a preprint, just a bunch of some loose remarks regarding elementary properties of the category of hypermodules.
- "A survey on multirings, hyperrings and hyperfields" - notes from the lectures I gave while visiting University of Ostrava as a part of the LLP Erasmus exchange program.
- "Research report" presented during my Comprehensive Exam.
- "Baer-Krull correspondence" "done right and clear" :)
- "The algebraic theory of quadratic forms - an introduction" - lecture notes from the series of talks I gave at the Algebra Seminar in 2004.
- "Resultants and the Bezout theorem" - a nice and elementary proof of one of the special cases of the Bezout theorem.
- "Generalizations of Stengle's Theorem" - a talk presented on Dec. 4, 2002 at the Algebra and Number Theory Seminar, University of Silesia (in Polish).
- "On Hilbert 17th Problem" - a talk presented on Nov. 21, 2002 at a meeting of the Polish Mathematical Society (in Polish).
- "A few words about differential algebra" - a talk presented during the Second Summer Camp organized by students at the University of Silesia, Sep. 2002 (in Polish).
- "More and less known problems in Number Theory" - a talk presented during one of the meetings of grad students with high school students (in Polish).
- "The Riemann hypothesis for algebraic function fields", Master's thesis (in Polish).
- "Lie algebras in physics" - a talk presented on Jan. 1, 2002 at the Seminar of Mathematical Methods in Physics (in Polish).
- "Nontrivial applications of the pigeon hole theorem" - a talk presented during the First Summer Camp organized by students at the University of Silesia, Sep. 2001 (in Polish).
- "On a certain principle of allocation as a method of investing in the stock market" - a talk presented at one of the student conferences organized by the University of Silesia, Spring 2001 (in Polish).
- "Continuous fractions" - a talk presented on Nov. 7, 2000 at one of the student conferences organized by the University of Silesia (in Polish).
- "How Polish mathematicians broke the Enigma code" - a talk presented at one of the student conferences organized by the University of Silesia, Fall 1999 (in Polish).
- "The bargaining problem" - a talk presented at one of the student conferences organized by the University of Silesia, Spring 1999 (in Polish).