Research

Research interest

My research interest are Representation Theory of Finite Dimensional Algebras, Ringel-Hall Algebras, Gabriel-Roiter Measure Theory, Matrix pencils, Quantum Groups, Combinatorics 

Published papers

Papers in journals with impact factor

1. Cs. Szántó, I. Szöllősi, On some Ringel-Hall polynomials associated to tame indecomposable modules, Journal of Pure and Applied Algebra 228 (2024), published online on 7.11.2023, article number 107555, 40 pages, https://doi.org/10.1016/j.jpaa.2023.107555.

2. Cs. Szántó, I. Szöllősi, Ringel-Hall polynomials associated to a quiver of type D᷉₄, Periodica Mathematica Hungarica 88 (2024), pp.218-242, published online on 23.09.2023, 25 pages, https://doi.org/10.1007/s10998-023-00549-y.

3.  Sz. Lénárt, Á. Lőrinczi, Cs. Szántó, I. Szöllősi, Tree representations of the quiver D̃ₘ, Colloquium Mathematicum 167 (2022), pp. 261-302.

4.  Cs. Szántó, I. Szöllősi, Schofield sequences in the Euclidean case, Journal of Pure and Applied Algebra 225 (2021), 114 pages.

5.  Cs. Szántó, I. Szöllősi, On some Hall polynomials over a quiver of type D̃4, Acta Universitatis Sapientiae, Mathematica 12 (2020), pp.  395−404.

6.  Cs. Szántó, Submodules of Kronecker modules via extension monoid products, Journal of Pure and Applied Algebra 222 (2018), pp. 3360-3378.

7.  Cs. Szántó, I. Szöllősi, A short solution to the subpencil problem involving only column minimal indices, Linear Algebra and its Applications 517 (2017), pp. 99-119.

8.  Cs. Szántó, Combinatorial aspects of extensions of Kronecker modules, Journal of Pure and Applied Algebra 219 (2015), pp. 4378-4391.

9.  Cs. Szántó, I. Szöllősi, Hall polynomials and the Gabriel-Roiter submodules of simple homogeneous modules, Bulletin of the London Mathematical Society 47 (2015), pp. 206-216.

10.  Cs. Szántó, On some Ringel-Hall numbers in tame cases, Acta Univ. Sapientiae Mathematica 6 (2014), pp. 61−72

11.  Cs. Szántó, On some Ringel-Hall products in tame cases, Journal of Pure and Applied Algebra 216 (2012), pp. 2069-2078.

12.  Cs. Szántó, I. Szöllősi, On preprojective short exact sequences in the Kronecker case, Journal of Pure and Applied Algebra 216 (2012), pp. 1171-1177.

13.  Cs. Szántó, I. Szöllősi, The terms in the Ringel-Hall product of preinjective Kronecker modules, Periodica Mathematica Hungarica 63 (2011), pp. 227-244.

14.  Cs. Szántó, On the cardinalities of Kronecker quiver Grassmannians, Mathematische Zeitschrift 269 (2011), pp. 833-846.

15.  Cs. Szántó, Alexandru Horvath, Formulas for Kronecker invariants using a representation theoretical approach, Linear Algebra and its Applications 430 (2009), pp. 664-673.

16.  Cs. Szántó, Hall Numbers and the Composition Algebra of the Kronecker Algebra, Algebras and Representation Theory 9 (5) (2006), pp. 465-495.

17.  Cs. Szántó, A generic Hall algebra of the Kronecker algebra, Communications in Algebra 33(8) (2005), pp. 2519-2540.

Other papers

1.  Cs. Szántó, Á. Lőrinczi, The indecomposable preprojective and preinjective representations of the quiver D᷉n, Mathematica Cluj 57 (80)  (2015), pp. 54-66.

2.  Cs. Szántó, Á. Lőrinczi, The indecomposable preprojective and preinjective representations of the quiver D᷉5, Mathematica Cluj 56 (79) 2 (2014), pp. 145-157.

3.  Cs. Szántó, On some nonzero Ringel-Hall numbers in tame cases, Mathematica Cluj 53 (76) (2011), pp. 189-195.

4.  C. Săcărea, Cs. Szántó, I. Szöllősi, Combining the Solitaire Encryption Algorithm with Lagged Fibonacci Pseudorandom Number Generators, Mathematica Cluj 51 (74) (2009), pp. 163-171.

5.  Cs. Szántó, On some formulas in the Hall algebra of the Kronecker algebra, Acta Mathematica Academiae Paedagogiace Nyiregyhaziensis (AMAPN), EMIS electronic journal, 23 (1) (2007), pp 1-6.

6.  Cs. Szántó, Regular submodules of regular Kronecker modules, Mathematica Cluj 49 (72) (2007), pp.83-89.

7.  Cs. Szántó, On the Hall product of preinjective Kronecker modules, Mathematica Cluj, 48 (71) (2006), pp. 203-206.

8.  Cs. Szántó, Expressing the cyclic modules in terms of elementary modules in the classical Hall algebra, Mathematica Cluj, 48 (71) (2006), pp. 85-88.

9.  Cs. Szántó, Semisimple submodules in some specially oriented Dynkin cases, Mathematica Cluj, 44(67) (2002), pp. 245-250.

10.  G. Argeşanu, Cs. Szántó, Taft algebras are cyclic serial, Mathematica Cluj 44 (67) (2002), pp. 11-17.

11.  Cs. Szántó: The Hall product of a regular indecomposable and a preprojective indecomposable Kronecker module, Proceedings of the algebra symposium, Babeş-Bolyai University Cluj-Napoca, May 2006, Editura Fundaţiei pentru Studii Europene Cluj-Napoca, 2006, ISBN 973-7677-16-1, pp. 107-116.

12.  Cs. Szántó: Hall coefficients in the Kronecker case, Proceedings of the algebra symposium,   Babeş-Bolyai University Cluj-Napoca, November 23-24, 2001, Editura Fundaţiei pentru Studii Europene Cluj-Napoca, 2002, ISBN 973-8254-26-4, pp 261-274.

Books

1.  Cs. Szántó, I. Szöllősi, Combinatorial methods in the representation theory of finite dimensional tame algebras, Presa Universitară Clujeană (2023), 237 pp., ISBN 978-606-37-2010-9, www.editura.ubbcluj.ro/bd/ebooks/pdf/3882.pdf 

2.  T. László, A. Marcus, Cs. Szántó, Lineáris Algebra, Presa Universitară Clujeană  2021, ISBN   978-606-37-1354-5.

3.  Cs. Szántó, I. Szöllősi, Kriptográfia, Presa Universitara Clujeana, 2009, 140 pp, ISBN   978-973-610-973-7.

4.  Cs. Szántó, Hall algebras in the Kronecker case, EFES, Cluj-Napoca, 2006, 105 pp, ISBN 973-7677-17-X.

5.  S. Crivei, A. Marcus, C. Săcărea, Cs. Szántó, Computational algebra with applications to coding theory and cryptography, EFES 2006, 198 pp ISBN-10 973-7677-31-5.

6.  A. Marcus, Cs. Szántó, L. Tóth, Logika és halmazelmélet, Editura Scientia, 2004, 200 pag, ISBN 973-7953-29-0.

7.  A. Marcus, Cs. Szántó, Általános algebrai feladatgyűjtemény, Erdélyi Tankönyvtanács 1997 și Lito UBB Cluj 1996, 107 pag.