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Curriculum vitae
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born:
Nagykároly, 3 April 1972
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university studies: mathematician, mathematics teacher (1996),
English-Hungarian specialized translator, Lajos Kossuth University,
1990-1999
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PhD
scholarship: 1996-1999
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assistant
lecturer: 2000-2001
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assistant
professor: since 2001
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PhD
degree: 2001
title of the thesis: Some new diophantine results on decomposable
polynomial equations and irreducible polynomials
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habilitation: 2009
title of the thesis:
Recent results in the theory of diophantine equations (in Hungarian)
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prizes:
1996: Kató Rényi Memory Prize
2001: Géza Grünwald Memory Prize
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knowledge
of languages:
English (superlative)
Italian (intermediate)
Romanian (intermediate)
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reviewer
of Mathematical Reviews
Publications
[1] A.
Bérczes and L. Hajdu, Computational experiences on the distances of
polynomials to irreducible polynomials, Math. Comp., 66 (1997), 391-398.
[2] A. Bérczes and L. Hajdu, On a problem of P. Turán concerning
irreducible polynomials, in: Number Theory, Diophantine, Computational and
Algebraic Aspects (K. Győry, A. Pethő and V. T. Sós eds.), Berlin-New
York, Walter de Gruyter, 1998, pp. 95-101.
[3] A. Bérczes, B. Brindza and L. Hajdu, On power values of polynomials,
Publ. Math. Debrecen, 53 (1998), 375-381.
[4] A. Bérczes, On the number of solutions of index form equations, Publ.
Math. Debrecen, 56 (2000), 251-262.
[5] A. Bérczes, On the number of solutions of norm form equations,
Periodica Math. Hungarica, 43 (2001), 165-176.
[6] A. Bérczes, Some new diophantine results on decomposable
polynomial equations and irreducible polynomials,
PhD thesis, University of
Debrecen, 2001.
[7] A. Bérczes and K. Győry, On the number of solutions of decomposable
polynomial equations, Acta Arith., 101 (2002), 171-187.
[8] A. Bérczes and J. Ködmön, Methods for the calculation of values of a
norm form, Publ. Math. Debrecen, 63 (2003), 751-768.
[9] A. Bérczes, J. Ködmön and A. Pethő, A one-way function based on norm
form equations, Periodica Math. Hungarica, 49 (2004), 1-13.
[10] A. Bérczes, J.-H. Evertse and K. Győry, On the number of equivalence
classes of binary forms of given degree and given discriminant, Acta Arith., 113
(2004), 363-399.
[11] A. Bérczes and A. Pethő, On norm form equations with solutions
forming arithmetic progressions, Publ. Math. Debrecen,
65 (2004), 281-290.
[12] A. Bérczes and A. Pethő, Computational experiences on norm form equations with solutions
from an arithmetic progression, Glasnik Matematicki, 41 (2006), 1-8.
[13] A. Bérczes, A. Pethő and V. Ziegler, Parameterized norm form equations with arithmetic
progressions, Journal of Symbolic Computation, 41 (2006), 790-810.
[14] A. Bérczes, J.-H. Evertse and K. Győry, Diophantine problems related
to discriminants and resultants of binary forms, in: Diophantine Geometry,
CRM Series, 4, Ed. Norm., Pisa, 2007, pp. 45-63.
[15] A. Bérczes, J.-H. Evertse and K. Győry, On the number of pairs of
binary forms with given degree and given resultant, Acta Arith., 128
(2007), 19-54.
[16] A. Bérczes and I. Pink, On the diophantine equation x2+p2k=yn,
Arch. Math., 91 (2008), 505-517.
[17] A. Bérczes, J.-H. Evertse and K. Győry, Effective results for linear
equations in two unknowns from a multiplicative division group, Acta Arith.,
136 (2009), 331-349.
[18] A. Bérczes, J.-H. Evertse, K. Győry and C. Pontreau, Effective
results for points on certain subvarieties of tori, Math. Proc.
Cambridge Phil. Soc., 147 (2009), 69-94.
[19] A. Bérczes and I. Járási, On the application of index forms in
cryptography, Periodica Math. Hungarica, 58 (2009), 35-45.
[20] A. Bérczes,
Recent
results in the theory of diophantine equations (in Hungarian), habilitation thesis, University of Debrecen, 2009.
[21] A. Bérczes, L. Hajdu and A. Pethő, Arithmetic progressions in the
solution sets of norm form equations, Rocky Mountain Math. J., to appear.
[22] A. Bazsó, A. Bérczes, K. Győry and Á. Pintér, On the resolution of
equations Axn-Byn=C
in integers x, y, and n≥3, II., Publ. Math. Debrecen, to appear.
[23] A. Bérczes, K. Liptai and I. Pink, On balancing recurrence
sequences, Fibonacci Quart., to appear.
[24] A. Bérczes, J. Folláth and A. Pethő, On a family of collision-free
functions, submitted.
[25] A. Bérczes, On the sumsets of geometric progressions, Publ. Math.
Debrecen, submitted.
Talks
[1] On a
problem of P. Turán, Number Theory Conference, 1996, Eger.
[2] On power values of polynomials, 13th Czech and Slovak International
Number Theory Conference, 1997, Ostravice.
[3] Estimates on the number of solutions of discriminant form equations
(in Hungarian), Conference of Hungarian Mathematics PhD Students, 1998,
Szeged.
[4] On index form equations, 14th Czech and Slovak International Number
Theory Conference, 1999, Liptovsky Jan.
[5] On the number of solutions of norm form equations, Colloquium on
Number Theory, 2000, Debrecen.
[6] On the number of pairs of polynomials with given resultant, 15th Czech
and Slovak International Number Theory Conference, 2001, Ostravice.
[7] On the number of solutions of decomposable polynomial equations,
Problèmes Diophantiens, CIRM, 2002, Marseille.
[8] On the number of solutions of decomposable polynomial equations (in
Hungarian), Conference on Number Theory to the Memory of Péter Kiss, 2002,
Eger.
[9] Methods for the calculation of values of a norm form, Number Theory
Day,
2003, Debrecen.
[10] A one way function based on norm form equations, Journées
Arithmétiques XXIII, 2003, Graz.
[11] An application of norm forms in cryptography,
Computational Number Theory and Cryptography
in Honour of the 60th Birthday of Professor Hugh C. Williams, 2003,
Warsaw.
[12] On the number of equivalence classes of binary forms with given
degree and given discriminant, Workshop on Diophantine Approximation,
2003, Leiden.
[13] On the number of equivalence classes of binary forms with given
degree and given discriminant, Number Theory Seminar, University of
Bordeaux, 2004, Bordeaux.
[14] On the number of equivalence classes of binary forms with given
degree and given discriminant, Number Theory Seminar, 2004, Jussieu,
Chevaleret.
[15] On special solutions of norm form equations, Workshop on Algebraic
Number Theory, Explicit Methods in Number Theory, 2004, Paris.
[16] On special solutions of norm form equations (in Hungarian),
Cryptography and Number Theory Day, 2005, Nyíregyháza.
[17] On sumsets of geometric progressions, Journées Arithmétiques XXIV,
2005, Marseille.
[18] Norm form equations with solutions forming arithmetic progressions,
17th Czech and Slovak International Number Theory Conference,
2005, Malenovice.
[19] On arithmetic properties of solutions of norm form equations,
Workshop on Solvability of Diophantine Equations, 2007, Leiden.
[20] On pairs of binary forms with given degree and given resultant,
Journées Arithmétiques XXV, 2007, Edinburgh.
[21]
On pairs of binary forms with
given degree and given resultant,
18th Czech and Slovak International Number Theory Conference,
2007, Smolenice.
[22] On the number of equivalence classes of pairs of binary forms with
given degree and given resultant, Intercity Seminar, 2007, Utrecht.
[23] Effective results for points on certain subvarieties of tori, The
7th Polish, Slovak and Czech Conference on Number Theory, 2008,
Ostravice.
[24] Effective results for points on certain subvarieties of tori,
Winter School on Explicit Methods in Number Theory, 2009, Debrecen.
[25] Effective results for points on certain subvarieties of tori,
Department of Mathematics, Nihon University, 2009, Tokyo.
[26] Effective results for linear equations in two unknowns from a
multiplicative division group, Department of Mathematics, Niigata
University, 2009, Niigata.
[27] Effective results for a large class of diophantine equations, Kyoto
Sangyo University, 2009, Kyoto.
[28] Effective results for points on certain subvarieties of tori,
Journées Arithmétiques XXVI, 2009, Saint-Etienne.
[29] Effective
results for linear equations in two unknowns from a multiplicative
division group,
19th Czech and Slovak International Number Theory Conference,
2009, Hradec nad Moravicí.
[30] Effective results for a large class of diophantine equations, First
Algebra and Number Theory Conference, 2009, Ixtapa (Mexico).
[31] Effective results for points on certain subvarieties of tori,
Institute of Mathematics, TU Berlin, 2009, Berlin. |
