Differences

This shows you the differences between two versions of the page.

Link to this comparison view

- Both sides previous revision Previous revision
Next revision
- papers [2020/04/15 22:06] admin
+ Previous revision
+ papers [2025/07/24 09:42] (current) admin [Published papers]
@@ Line -1,20 +1,35 @@ removed created
 ===== Published papers =====
     - [[https://Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell--Yan scatteringdoi.org/10.1016/j.jnt.2025.06.001 | Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve]], with Marco Besier, Dino Festi Stefan Barańczuk ​and Michael HarrisonMatteo Verzobio, accepted in Communications in J. Number Theory ​(2026), Vol. 279, 170-183. (open access) 
     - //​[[https://​rdcu.be/​edbEv|Second moments ​and Physicsthe bias conjecture for the family of cubic pencils]]//, with Matija Kazalicki, Math. Z. 309, 72 (2025). 1-31. ([[https://​arxiv.org/​abs/​19082012.0107911306|preprintversion]]+[[drell_yan_k3shttps://​bnaskrecki.faculty.wmi.amu.edu.pl/​doku.php/​second_moments|code]]) 
     - //​[[https://​doi.org/​10.1007/​s40828-024-00199-8|Periodic arrangements of closely packed spheres]]//,​ with Zbigniew Dauter and Mariusz Jaskolski, ChemTexts 11, 2 (2025). 1-17. (open access) 
     - //​[[https://​doi.org/​10.1107/​S2053273324010763|Growth functions of periodic space tessellations]]//,​ with Jakub Malinowski, Zbigniew Dauter and Mariusz Jaskolski, Acta Crystallogr.,​ Sect. A: Found. Adv. (2025), Vol. 81, No. 1, 64-81. (open access) 
     - //​[[https://​doi.org/​10.1017/​prm.2024.7|Common valuations of division polynomials]]//,​ with Matteo Verzobio, Proc. A. R. Soc. Edinb. Published online (2024):​1-15.(open access) 
     - //​[[https://​aif.centre-mersenne.org/​item/​10.5802/​aif.3635.pdf|Geometry of the del Pezzo surface y^2=x^3+Am^6+Bn^6]]//,​ with Julie Desjardins, Ann. Inst. Fourier 74 (2024) no.5 p. 2231-2274 (open access+[[https://​zenodo.org/​records/​10659434|code]]) 
     - //​[[https://​doi.org/​10.1107/​s160057672101205x | The Euler characteristic as a basis for teaching topology concepts to crystallographers]]//,​ with Zbigniew Dauter and Mariusz Jaskólski, J. Appl. Cryst., (2022), Vol. 55, 154-167. (open access) 
     - //​[[https://​doi.org/​10.1016/​j.jnt.2021.07.009|Diophantine triples and K3 surfaces]]//,​ with Matija Kazalicki, J. Number Theory (2022), Vol. 236, 41-70 (open access) 
     - //​[[https://​doi.org/​10.1107/​S2053273321004320 | A topological proof of the modified Euler characteristic based on the orbifold concept]]//,​ with Zbigniew Dauter and Mariusz Jaskólski, ​ Acta Crystallogr.,​ Sect. A: Found. Adv. (2021), Vol.7, No. 4, 317-326. (open access) 
     - //​[[https://​doi.org/​10.1107/​S2053273320016186 | Arithmetic proof of the multiplicity-weighted Euler characteristic for symmetrically arranged space-filling polyhedra]]//,​ with Zbigniew Dauter and Mariusz Jaskólski, Acta Crystallogr.,​ Sect. A: Found. Adv. (2021), Vol.7, No. 2, 126-129. (open access) 
     - //​[[https://​dx.doi.org/​10.4310/​CNTP.2020.v14.n4.a4|Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell-Yan scattering]]//,​ with Marco Besier, Dino Festi and Michael Harrison, Commun. Number Theory Phys. (2020), Vol. 14, No. 4, 863-911. (open access) 
     - //​[[https://​doi.org/​10.1016/​j.jnt.2019.12.002|Primitive divisors of elliptic divisiblity sequences over function fields with constant j-invariant]]//,​ with Marco Streng, ​Journal of J. Number Theory ​(2020), 2020 ([[https://​arxivVol. org/​abs/​1904213, 152-186. 12393|preprint version]](open access) 
     - //​[[https://​doi.org/​10.1112/​S0010437X19007693|The generalized Fermat equation with exponents 2, 3, n]]//, with Nuno Freitas and Michael Stoll([[https://​arxiv, Compos. org/​abs/​1703Math.05058|preprint version]]), Compositio Mathematica, Vol. 156 (1) , (2020), pp. 77-113. (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]]) ([[https://​arxiv.org/​abs/​1703.05058|preprint version]]) 
     - //​[[https://​wwwdoi.springerorg/10.com1007/gp/​book/​9783030125578 ​978-3-030-12558-5_7 ​|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]]) 
     - //​[[http://​nyjm.albany.edu/​j/​2016/​22-46.html|Divisibility sequences of polynomials and heights estimates]]//,​ New York J. Math. 22 (2016), 989–-1020. (open access) 
   - //[[httphttps://arxivdoi.org/abs10.4064/1609.04750|preprint version]]) 
   ​bc108-0-//​{{:​bnaskrecki_distribution_of_mw_ranks.pdf16|Distribution of Mordell-Weil ranks of families of elliptic curves}}]]//, Banach Center ​Publications ​Publ. 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]]open access) 
   - //[[httphttps://wwwdoi.springerorg/10.com/​mathematics/​numbers/​book1007/978-3-319-0384603847-96_10| 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]])  
   - //[[httphttps://journalswww.impan.pl/cgien/​publishing-binhouse/doi?aa160journals-and-series/​acta-arithmetica/​all/​160/​2/​83309/​mordell-5 8211-weil-ranks-of-families-of-elliptic-curves-associated-to-pythagorean-triples ​|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]](open access) 
   - //[[httphttps://pjmdoi.mathorg/10.berkeley.edu2140/involve/.2010/.3-3/p06.xhtml297|Infinite family of elliptic curves of rank at least 4]]//, Involve, Vol. 3(2010), No. 3 (2010), 297–316 ([[http://​arxiv.org/​abs/​0909.3424| preprint version]]open access)
 ===== Preprints =====
     - //Geometry of On the del Pezzo surface y^2=x^3+Am^6+Bn^6geography of log-surfaces//, with Julie DesjardinsPiotr Pokora, submitted ([[https://​arxiv.org/​abs/​19112412.0268414635|preprint]]+) 
     - //Explicit equations of 800 conics on a Barth-Bauer quartic//, submitted([[https://bnaskrecki.faculty.wmi.amuarxiv.edu.plorg/doku.phpabs/geometry_of_del_pezzo2108.13402 ​|codepreprint]])
     - //​{{:​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]])
 
 ===== Popular writing ====
   * [[https://​academia.pan.pl/​czym-jest-szyfrowanie/​|Czym jest szyfrowanie?​ (ACADEMIA (2023) No. 4 (76) pp. 18-21) ]]
   * [[https://​www.deltami.edu.pl/​2024/​05/​jej-wysokosc-krzywa-eliptyczna/​| Jej wysokość krzywa eliptyczna (Delta (2024) No. 5 (600) pp. 16-19)]]
 
 ===== In preparation =====
     - //​Equiangular lines and an elliptic surface//, with Dan Fretwell and Neil I. Gillespie, 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/​15161543#1728617716|Magma package]])
 ===== Theses =====
 //​{{:​bn_phd_thesis.pdf|"​Rangi w rodzinach krzywych eliptycznych i formy modularne"​}}//,​ Ph. D. thesis, 2014