papers
- J. Fecenko, J. Chalmovianská:
Note on fundamental system of solutions
to the differential equations
(D2-2Dα + α2 ± β2) y = 0,
Mathematica Slovaca, vol. 74, No. 6, 1423--1432, 2024
-
J. Chalmovianská:
Analytic Solution of Castillon’s Problem, Another Approach,
Journal for Geometry and Graphics, vol.~27, No.~2, 195--205, 2023
-
J. Chalmovianská, P. Chalmovianský:
Computing local intersection multiplicity of plane curves via max-order
basis,
Graduate Journal of Mathematics. vol. 7, No. 1, 1--9, 2022
-
W. A. de Graaf, J. Pílniková, J. Schicho:
Parametrizing Del Pezzo surfaces of degree 8 using Lie Algebras,
http://arxiv.org/abs/math.AG/0512477,
Journal of Symbolic Computation, vol. 44, No. 1, 1--14, 2009
-
J. Pílniková:
Trivializing a central simple algebra of degree 4
over the rational numbers,
Journal of Symbolic Computation, vol. 42, No. 6, 579--586, 2007
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W. A. de Graaf, M. Harrison, J. Pílniková, J. Schicho:
A Lie Algebra Method for Rational Parametrization
of Severi-Brauer Surfaces,
http://arxiv.org/abs/math.AG/0501157,
Journal of Algebra, vol. 303, No. 2, 514--529, 2006
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P. Chalmovianský, J. Pílniková:
Basis of Quartic Splines over Triangulation,
Journal for Geometry and Graphics, vol.3, No.2, 161--176, 1999
textbook
invited talks
-
Magma tutorial,
First training school in symbolic Computations 2007,
February 12-13,
RISC, Linz (Hagenberg), Austria
-
Správa zo stretnutia matematika s deskriptívnou geometriou
(Report from a meeting between a mathematician and descriptive
geometry),
Czech-Slovak Conference on Geometry and Graphics 2024,
September 1-4, Bratislava, Slovakia
contributed conference talks
-
Computing local intersection multiplicity of plane curves via blow up,
CSASC 2018, September 11-14, Bratislava, Slovakia
-
Splitting central simple algebras of degree 4,
Rhine Workshop on Computer Algebra 2006,
March 16-17, Basel, Switzerland
-
Splitting central simple algebras of degree 4,
Darstellungstheorietage and Nikolaus Conference 2005,
December 8-10, Aachen, Germany
-
Rational parametrisations via Lie algebras II,
Magma Workshop on Group Theory and Algebraic Geometry 2005,
August 22-26, University of Warwick, Great Britain
-
Using Lie algebras to parametrize certain types of algebraic varieties II,
Workshop on Lie Algebras, their Classification and Applications 2005,
July 24-28, Università di Trento, Italy
-
A Lie algebra method for rational parametrization
of Severi-Brauer surfaces},
MEGA 2005, May 27 -- June 1, Alghero, Italy
-
Rational parametrization of del Pezzo surfaces of degree 9},
Nikolaus conference 2004, December 10-11, Aachen, Germany
-
Finding Rational Points on Severi-Brauer Surface},
Algebraic Geometry and Number Theory with Magma 2004, October 4-8,
Institute Henri Poincar0, Paris, France
thesis
preprints
- J. Pílniková, J. Schicho:
Algorithms for solving rational quadratic forms,
RISC Linz, 2004