Zanetto, lascia le donne, e studia la matematica.
Jean-Jacques Rousseau, "Les Confessions"
Stefan Barańczuk, Ph.D.
I am interested in algebraic number theory, arithmetic geometry and K-theory.
On reduction maps and support problem in K-theory and abelian varieties, J. Number Theory 119 (2006), no. 1, 1-17.
On reduction maps for the étale and Quillen K-theory of curves and applications, J. K-Theory 2 (2008), no. 1, 103-122. (joint work with K. Górnisiewicz)
On a generalization of the support problem of Erdös and its analogues for abelian varieties and K-theory, J. Pure Appl. Algebra 214 (2010), no. 4, 380-384.
Galois Properties of the Eigenproblem of the Hexagonal Magnetic Heisenberg Ring, Acta Physica Polonica A 21 (2012),
5-6, 1111-1114. (joint work with G. Banaszak, T. Lulek, J. Milewski and R. Stagraczyński)
A remark on certain simultaneous divisibility sequences, Colloq. Math. 137 (2014), no. 2, 209-213. (join work with P. Rzonsowski)
Height functions for groups of S-units of number fields and reductions modulo prime ideals, Bull. Pol. Acad. Sci. Math. 63 (2015), no. 1, 24-31.
On a dynamical local-global principle in Mordell-Weil type groups, Expositiones Mathematicae, volume 35 (2017), Issue 2, 206-211.
On certain sequences in Mordell- Weil type groups, New York Journal of Mathematics, volume 23 (2017), 41-47.
Quantitative computed tomography applied to interstitial lung diseases, European Journal of Radiology,
volume 100 (2018), 99-107.
Hasse-Minkowski theorem for quadratic forms on Mordell-Weil type groups,
preprint (still in progress).
On the arithmetic of polynomials with coefficients in Mordell-Weil type groups, preprint.
On second-order linear recurrence sequences in Mordell-Weil type groups, preprint.
Hasse principle for linear dependence in Mordell-Weil groups,
- M.S. Adam Mickiewicz University, June 2001; thesis title: On p-adic representations coming from action of Galois group on etale cohomology of algebraic variety ; thesis adviser: Professor Grzegorz Banaszak
- Ph.D. Adam Mickiewicz University, June 2005; dissertation title: On reduction maps and support problem in Galois cohomology ;
thesis adviser: Professor Grzegorz Banaszak