Zanetto, lascia le donne, e studia la matematica.
Jean-Jacques Rousseau, "Les Confessions"
Stefan Barańczuk, Ph.D.
I work mainly in algebraic number theory, arithmetic geometry and K-theory.
Papers:
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On reduction maps and support problem in K-theory and abelian varieties, J. Number Theory 119 (2006), no. 1, 1-17;
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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);
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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;
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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);
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A remark on certain simultaneous divisibility sequences, Colloq. Math. 137 (2014), no. 2, 209-213 (joint work with P. Rzonsowski);
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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;
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On a dynamical local-global principle in Mordell-Weil type groups, Expositiones Mathematicae, volume 35 (2017), Issue 2, 206-211;
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On certain sequences in Mordell- Weil type groups, New York Journal of Mathematics, volume 23 (2017), 41-47;
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Quantitative computed tomography applied to interstitial lung diseases, European Journal of Radiology,
volume 100 (2018), 99-107 (joint work with Martin Obert, Marian Kampschulte, Rebekka Limburg, Gabriele A. Krombach);
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Hasse-Minkowski theorem for quadratic forms on Mordell-Weil type groups,
preprint (still in progress);
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On the arithmetic of polynomials with coefficients in Mordell-Weil type groups, preprint ;
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On second-order linear recurrence sequences in Mordell-Weil type groups, New York Journal of Mathematics, volume 25 (2019) 642-650;
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Hasse principle for linear dependence in Mordell-Weil groups, Functiones et
Approximatio Commentarii Mathematici, 62 (2020), no. 1, 81-85;
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Two algorithms for the exchange lemma,
Numer. Algorithms 86 (2021), no. 3, 1041-1050 (joint work with Bogdan Szydło);
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A note on the Diophantine equation (x2-1)(y2-1)=(z2-1)2, Arithmetic methods in mathematical physics and biology. II, 23-26, Banach Center Publ., 124, Polish Acad. Sci. Inst. Math., Warsaw, 2021;
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Reducing the number of equations defining a subset of the n-space over a finite field,
preprint , to appear in the Annales de la Faculté des Sciences de Toulouse;
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Zsigmondy's theorem for Chebyshev polynomials,
preprint ; with Magma codes .
Positions:
Education:
- 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