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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: 2001-2010
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associate professor: since
2010
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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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advisor of the dean at the Faculty of Science
and Technology, University of Debrecen: since 2008
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editor of Communications in Mathematics
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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, 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, 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. 40 (2010),
383-396.
[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 76 (2010),
227-250.
[23] A. Bérczes, On the sumsets of geometric progressions, Publ. Math.
Debrecen 77 (2010), 261-276.
[24] A. Bérczes, J. Folláth and A. Pethő, On a family of collision-free
functions, Tatra Mount. Math. Publ. 47 (2010), 1-13.
[25] A. Bérczes, K. Liptai and I. Pink, On balancing recurrence
sequences, Fibonacci Quart. 48 (2010), 121-128.
[26] A. Bérczes and I. Pink, On the diophantine equation x2+d2k+1=yn,
Glasgow Math. J., accepted.
[27] A. Bérczes and V. Ziegler, On geometric progressions on Pell
equations and Lucas sequences, submitted.
[28] A. Bérczes, A. Dujella, L. Hajdu and F. Luca, On the size of sets
whose elements have perfect power n-shifted products, Publ. Math.
Debrecen, accepted.
[29] A. Bérczes, J.-H. Evertse and K. Győry, Multiply monogenic orders,
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze,
accepted.
[30] A. Bérczes and F. Luca, On the largest prime factor of numerators
of Bernoulli numbers, Indag. Math., accepted.
[31] A. Bérczes and F. Luca, On the sum of digits of numerators of
Bernoulli numbers, Canad. Math. Bull., accepted.
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 (Czech Republic).
[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,
Liptovský Ján
(Slovakia).
[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 (Czech
Republic).
[7] On the number of solutions of decomposable polynomial equations,
Problèmes Diophantiens, CIRM, 2002, Marseille
(France).
[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 (Austria).
[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 (Poland).
[12] On the number of equivalence classes of binary forms with given
degree and given discriminant, Workshop on Diophantine Approximation,
2003, Leiden (Netherlands).
[13] On the number of equivalence classes of binary forms with given
degree and given discriminant, Number Theory Seminar, University of
Bordeaux, 2004, Bordeaux (France).
[14] On the number of equivalence classes of binary forms with given
degree and given discriminant, Number Theory Seminar, 2004, Jussieu,
Chevaleret (France).
[15] On special solutions of norm form equations, Workshop on Algebraic
Number Theory, Explicit Methods in Number Theory, 2004, Paris (France).
[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 (France).
[18] Norm form equations with solutions forming arithmetic progressions,
17th Czech and Slovak International Number Theory Conference,
2005, Malenovice (Czech Republic).
[19] On arithmetic properties of solutions of norm form equations,
Workshop on Solvability of Diophantine Equations, 2007, Leiden (Netherlands).
[20] On pairs of binary forms with given degree and given resultant,
Journées Arithmétiques XXV, 2007, Edinburgh (Scotland).
[21]
On pairs of binary forms with
given degree and given resultant,
18th Czech and Slovak International Number Theory Conference,
2007, Smolenice (Slovakia).
[22] On the number of equivalence classes of pairs of binary forms with
given degree and given resultant, Intercity Seminar, 2007, Utrecht (Netherlands).
[23] Effective results for points on certain subvarieties of tori, The
7th Polish, Slovak and Czech Conference on Number Theory, 2008,
Ostravice (Czech Republic).
[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 (Japan).
[26] Effective results for linear equations in two unknowns from a
multiplicative division group, Department of Mathematics, Niigata
University, 2009, Niigata (Japan).
[27] Effective results for a large class of diophantine equations, Kyoto
Sangyo University, 2009, Kyoto (Japan).
[28] Effective results for points on certain subvarieties of tori,
Journées Arithmétiques XXVI, 2009, Saint-Étienne (France).
[29] Effective results for a large class of diophantine equations, First
Algebra and Number Theory Conference, 2009, Ixtapa (Mexico).
[30] 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 (Czech Republic).
[31] Effective results for points on certain subvarieties of tori,
Institute of Mathematics, TU Berlin, 2009, Berlin (Germany).
[32] Effective
results for some equations with unknowns from a multiplicative
division group, The
8th Polish, Slovak and Czech Conference on
Number Theory,
2010, Bukowina Tatrzańska (Poland).
[33] Effective results for points on certain subvarieties of tori,
Canadian Number Theory Association Meeting, 2010, Wolfville (Canada).
[34] Arithmetic progressions in the
solution set of norm form equations, Number Theory and its Applications,
An International Conference Dedicated to Kálmán Győry, Attila Pethő,
János Pintz and András Sárközy, 2010, Debrecen.
[35] On resultant equations, Number Theory and its Applications, An
International Conference Dedicated to Kálmán Győry, Attila Pethő, János
Pintz and András Sárközy, 2010, Debrecen.
[36] Multiply monogenic orders,
Journées Arithmétiques XXVII, 2011, Vilnius (Lithuania).
[37] Multiply monogenic orders, Paul Turán Memorial Conference, 2011, Budapest.
[38] Multiply monogenic orders, 20th Czech and
Slovak International Conference on Number Theory, 2011, Stará
Lesná (Slovakia). |
