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
• 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
• P. Chalmovianský, J. Pílniková: Basis of Quartic Splines over Triangulation, Journal for Geometry and Graphics, vol.3, No.2, 161--176, 1999

textbook

• J. Chalmovianská: Axiomatická výstavba euklidovskej roviny (Geometria 2 pre študentov učiteľstva matematiky)}, Univerzita Komenského v Bratislave, 2023

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

Parametrizing algebraic varieties using Lie algebras, http://arxiv.org/abs/math.AG/0610727, RISC Linz, 2006

preprints

• J. Pílniková, J. Schicho: Algorithms for solving rational quadratic forms, RISC Linz, 2004