Dr hab. Przemysław Koprowski

Books:

1. LCM: Lectures on Computational Mathematics, in editia
2. Glimpses of geometry and graphics, in editia (stalled)
3. Witt morphisms, Prace Naukowe 2966, Wydawnictwo Uniwersytetu Śląskiego, 2012
4. 0x80 zadań z C i C++ (Polish), Akademicka Oficyna Wydawnicza EXIT, 2009

Research papers:

1. Valuative Mahler's inequality, to be submitted
2. Graph of even points on an arithmetic curve, with A. Czogała, under review
3. Wild sets in global function fields, with A. Czogała oraz B. Rothkegel, under review
4. Incidence relation for primes of a global function field, with A. Czogała, to appear in Banach Center Publications
5. Intrinsic factorization of ideals in Dedekind domains, with M. K. Darkey-Mensah, to appear in Fundamenta Informaticae
6. Wild and even points in global function fields, with A. Czogała and B. Rothkegel, Colloq. Math. vol. 154 no. 2 (2018), pp. 275-294, DOI: 10.4064/cm6979-1-2018
   source codes for CAS Magma verifying various remarks in the paper.
7. Yet another proof of the quadratic reciprocity law, with A. Czogała, Acta Arithmetica vol. 185 no. 3 (2018), pp. 297-300, DOI: 10.4064/aa180321-10-7
8. Computing with quadratic forms over number fields, with A. Czogala, J. Symbolic Comp., Volume 89 (2018), pp 129-145, DOI: 10.1016/j.jsc.2017.11.009
   Sage source codes of functions for quadratic forms described in the paper; Sage worksheet (with examples)
   Sage source codes of functions for fields' invariants computation described in the paper; Sage worksheet (with examples)
9. Corrigendum to ``Faster Algorithms for Computing Hong's Bound on Absolute Positiveness [J. Symbolic Comput. 45(2010) 677-683]", with K. Mehlhorn and S. Ray, J. Symbolic Comp., Volume 87 (2018), pp. 238-241, DOI: 10.1016/j.jsc.2017.05.008
10. Roots multiplicity without companion matrices, Fundamenta Informaticae 153 (2017), pp. 265-270, DOI: 10.3233/FI-2017-1540
    test suite for Magma
11. Places, cuts and orderings of function fields, with K. Kuhlmann, Journal of Algebra, (2016), Vol. 468, pp. 253-274, DOI: 10.1016/j.jalgebra.2016.08.027
12. Algorithms for quadratic forms over real function fields, with K. Jałowiecki, Banach Center Publications 108(2016), 133-141, DOI: 10.4064/bc108-0-10
13. Graded Hilbert-symbol equivalence of number fields, Discussiones Mathematicae - General Algebra and Applications, (2015), Vol. 35, no 1, pp. 105–113, DOI: 10.7151/dmgaa.1229
14. Relative determinant of a bilinear module, Discussiones Mathematicae - General Algebra and Applications, (2014), Vol. 34, no 2, pp. 203-212, DOI: 10.7151/dmgaa.1221
15. Witt equivalence of rings of regular functions, Annales Mathematicae Silesianae, (2008) 22, pp. 45--57
16. Splitting natural injection of Witt rings of geometric rings, Int. J. Pure Appl. Math., (2008) Vol. 45, No. 1, pp. 5-11
17. Algorithms for quadratic forms, J. Symb. Comp., (2008) No. 43 pp. 140–152, MR2357080, DOI: 10.1016/j.jsc.2007.10.004
18. Algebraic Approach to Geometric Characterization of Parametric Cubics, J. for Geometry and Graphics, (2007) Vol. 11, No. 2, pp. 173-178
19. Graded quaternion symbol equivalence of function fields, Czechoslovak Math. J., (2007) Vol. 57, No. 4, pp. 1311-1319
20. On existence of tame Harrison map, Math. Slovaca, (2007) Vol. 57, No. 5, pp. 407–414, DOI: 10.2478/s12175-007-0036-1
21. On splitting the Knebusch-Milnor exact sequence, J. Algebra, (2006) No. 301, pp. 616-626
22. Polynomials with prescribed cycle lengths, Acta Sci. Math. (Szeged), (2006) Vol. 72, No. 1-2, pp. 51-58
23. Matching local Witt invariants, Acta Mathematica Universitatis Ostraviensis, (2005) No. 13, pp. 29-34
24. Integral equivalence of real algebraic function fields, Tatra Mt. Math. Publ., (2005) No. 32, pp. 53-61
25. Local-global principle for Witt equivalence of function fields over global fields, Colloq. Math., (2002) No. 91, pp. 293-302
26. Witt equivalence of algebraic function fields over real closed fields, Math. Z., (2002) No. 242, pp. 323-345
27. Sums of squares of pure quaternions, Math. Proc. Irish Royal Acad., (1998) Vol. 98A, pp. 63-65

Unpublished:

1. Graph of even points in a global function field, with A. Czogałą, early version of the paper Graph of even points on an arithmetic curve, (contains different proofs than the final article)
2. Earlier version of an article Corrigendum to ``Faster Algorithms for Computing Hong's Bound on Absolute Positiveness [J. Symbolic Comput. 45(2010) 677-683]"
   (contains a different algorithm)
   Sage worksheet with an example implementation of described algorithm
   Sage source codes of an example implementation of described algorithm
3. Measuring bokeh
4. Closed-form test for intersections of parametric cubics
5. Affine type of parametric cubic demystified