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papers [2018/12/04 16:47]
admin [Published papers]
papers [2019/09/30 12:32] (current)
admin [Preprints]
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-====== Publications ====== 
- 
- 
 ===== Published papers ===== ===== Published papers =====
-    - {{:wiki:higher_eisenstein_ii_new.pdf |On higher congruences between cusp forms and Eisenstein series II}}to appear in Notes from the International Autumn School on Computational Number Theory: Izmir Institute of Technology 2017, Springer, 2019 ([[http://​arxiv.org/​abs/​1810.02134|preprint version]]) +    - //{{:genfermat-export.pdf|The generalized Fermat equation with exponents 2, 3, n}}//, with Nuno Freitas and Michael Stoll ([[https://​arxiv.org/​abs/​1703.05058|preprint version]]), Compositio Mathematica (to appear). (see also a [[http://​www.setforbritain.org.uk/​2017psr/​M-NASKRECKI-3706-PSR.pdf| poster]] for [[http://​www.setforbritain.org.uk/​index.asp | STEM for Britain]]) 
-    - [[http://​nyjm.albany.edu/​j/​2016/​22-46.html|Divisibility sequences of polynomials and heights estimates]],​ New York J. Math. 22 (2016) 989–1020. ([[http://​arxiv.org/​abs/​1609.04750|preprint version]]) +    - //​[[https://​www.springer.com/​gp/​book/​9783030125578 ​|On higher congruences between cusp forms and Eisenstein series II]]//, Notes from the International Autumn School on Computational Number Theory: Izmir Institute of Technology 2017, Birkhäuser, 2019 ([[http://​arxiv.org/​abs/​1810.02134|preprint version]]) 
-  - {{:​bnaskrecki_distribution_of_mw_ranks.pdf|Distribution of Mordell-Weil ranks of families of elliptic curves}}, Banach Center Publications 108 (2016), 201-229,​[[https://​www.impan.pl/​pl/​wydawnictwa/​banach-center-publications/​all/​108|DOI:​ 10.4064/​bc108-0-16]] ([[http://​arxiv.org/​abs/​1609.04731|preprint version]]) +    - //[[http://​nyjm.albany.edu/​j/​2016/​22-46.html|Divisibility sequences of polynomials and heights estimates]]//, New York J. Math. 22 (2016) 989–1020. ([[http://​arxiv.org/​abs/​1609.04750|preprint version]]) 
-  - [[http://​www.springer.com/​mathematics/​numbers/​book/​978-3-319-03846-9| On higher congruences between cusp forms and Eisenstein series]] in  Computations with Modular Forms © Springer-Verlag,​ Volume 6, 2014, 257-277 ​  ​([[http://​arxiv.org/​abs/​1206.1881|preprint version]])  +  - //{{:​bnaskrecki_distribution_of_mw_ranks.pdf|Distribution of Mordell-Weil ranks of families of elliptic curves}}//, Banach Center Publications 108 (2016), 201-229,​[[https://​www.impan.pl/​pl/​wydawnictwa/​banach-center-publications/​all/​108|DOI:​ 10.4064/​bc108-0-16]] ([[http://​arxiv.org/​abs/​1609.04731|preprint version]]) 
-  - [[http://​journals.impan.pl/​cgi-bin/​doi?​aa160-2-5 |Mordell–Weil ranks of families of elliptic curves associated to Pythagorean triples]], Acta Arith. 160 (2013), 159-183 ([[http://​arxiv.org/​abs/​1210.6933| preprint version]]) +  - //[[http://​www.springer.com/​mathematics/​numbers/​book/​978-3-319-03846-9| On higher congruences between cusp forms and Eisenstein series]]// in  Computations with Modular Forms © Springer-Verlag,​ Volume 6, 2014, 257-277 ​  ​([[http://​arxiv.org/​abs/​1206.1881|preprint version]])  
-  - [[http://​pjm.math.berkeley.edu/​involve/​2010/​3-3/​p06.xhtml|Infinite family of elliptic curves of rank at least 4]], Involve, Vol. 3 (2010), No. 3, 297–316 ([[http://​arxiv.org/​abs/​0909.3424| preprint version]])+  - //[[http://​journals.impan.pl/​cgi-bin/​doi?​aa160-2-5 |Mordell–Weil ranks of families of elliptic curves associated to Pythagorean triples]]//, Acta Arith. 160 (2013), 159-183 ([[http://​arxiv.org/​abs/​1210.6933| preprint version]]) 
 +  - //[[http://​pjm.math.berkeley.edu/​involve/​2010/​3-3/​p06.xhtml|Infinite family of elliptic curves of rank at least 4]]//, Involve, Vol. 3 (2010), No. 3, 297–316 ([[http://​arxiv.org/​abs/​0909.3424| preprint version]]) 
 +===== Preprints ===== 
 +    - //​Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell--Yan scattering//,​ with Marco Besier, Dino Festi and Michael Harrison, submitted([[https://​arxiv.org/​abs/​1908.01079|preprint]]+ [[drell_yan_k3s|code]]) 
 +    - //Primitive divisors of elliptic divisiblity sequences over function fields with constant j-invariant//,​ with Marco Streng, submitted ([[https://​arxiv.org/​abs/​1904.12393|preprint]]) 
 +    - //​{{:​hyper24111.pdf|On a certain hypergeometric motive of weight 2 and rank 3}}//, submitted ([[https://​arxiv.org/​abs/​1702.07738|preprint]]) 
 +    - //​Mordell-Weil ranks of families of elliptic curves parametrized by binary quadratic forms//, submitted ([[http://​arxiv.org/​abs/​1609.04715|preprint]])
 ===== In preparation ===== ===== In preparation =====
-    - Primitive divisors of elliptic divisiblity sequences over function fields ​with constant j-invariant, with Marco Streng, in preparation +    - //​Diophantine triples and K3 surfaces//, ​with Matija Kazalicki, in preparation 
-    - On realisations of weight 0 hypergeometric motives of small degrees, in preparation (with [[http://​magma.maths.usyd.edu.au/​magma/​handbook/​text/​1516#​17286|Magma package]]) +    ​//Geometry of the del Pezzo surface y^2=x^3+Am^6+Bn^6//​, with Julie Desjardins, in preparation 
-    - {{:​hyper24111.pdf|On a certain hypergeometric motive of weight 2 and rank 3}}, submitted ([[https://​arxiv.org/​abs/​1702.07738|preprint]]) +    - //On realisations of weight 0 hypergeometric motives of small degrees//, in preparation (with [[http://​magma.maths.usyd.edu.au/​magma/​handbook/​text/​1516#​17286|Magma package]]) 
-    - {{:​genfermat-export.pdf|The generalized Fermat equation with exponents 2, 3, n}}, with Nuno Freitas and Michael Stoll ([[https://​arxiv.org/​abs/​1703.05058|preprint]]),​ submitted. See also a [[http://​www.setforbritain.org.uk/​2017psr/​M-NASKRECKI-3706-PSR.pdf| poster]] for [[http://​www.setforbritain.org.uk/​index.asp | STEM for Britain]] +===== Theses ​===== 
-    - Mordell-Weil ranks of families of elliptic curves parametrized by binary quadratic forms, submitted ([[http://​arxiv.org/​abs/​1609.04715|preprint]]) +//{{:​bn_phd_thesis.pdf|"Rangi w rodzinach krzywych eliptycznych i formy modularne"​}}//, PhDthesis2014 
-===== Ph. D. Thesis ​===== +
-{{:​bn_phd_thesis.pdf|Ph. D. thesis (Polish) ​}} +
- +
-===== M.Sc. Thesis ===== +
-{{:​matma.pdf|M. Sc. thesis (Polish)}} +
- +
-===== Other publications ===== +
- +
-    - Enchained in Markov chains in Proceedings of [[http://omega.im.uj.edu.pl/​workshop2009/​index.php| 12th International Workshop for Young +
-Mathematicians "​Probability Theory and Statistics"​]] ​Kraków, Poland, 2009 +
-    - Elliptic curves cryptography in Proceedings of [[http://​omega.im.uj.edu.pl/​workshop2008/​index.php|11th International Workshop for Young +
-Mathematicians "​Number Theory"​]]Kraków, Poland, 2008 +
  
-===== Online apps ===== +//{{:matma.pdf|"O pewnym równaniu diofantycznym"​}}//, MScthesis, 2010
-  - [[http://demonstrations.wolfram.com/​NumericalIntegrationUsingRectanglesTheTrapezoidalRuleOrSimps|Numerical Integration using Rectangles, the Trapezoidal Rule, or Simpson'​s Rule from The Wolfram Demonstrations Project]] +
-  - [[http://​demonstrations.wolfram.com/​MotionOfASimplePendulumWithDamping|Motion of a Simple Pendulum with Damping from The Wolfram Demonstrations Project]] +
-  - [[http://​demonstrations.wolfram.com/​WorkInAnAttractiveInverseSquareField|Work in an Attractive Inverse-Square Field" ​from The Wolfram Demonstrations Project]] +
-  - [[http://demonstrations.wolfram.com/​DrivenDampedOscillatorWithResonanceEffect|Driven Damped Oscillator with Resonance Effect"​ from The Wolfram Demonstrations Project]]+