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个人简介
Mathematical interests
Computational Number Theory – algorithms for problems
related to cryptography, arithmetic with focus on applications
of Galois theory in computations.
Diophantine equations – investigation of particular
exponential Diophantine equations by an extensive use of
cyclotomic methods. Examples: the equations of Catalan,
Nagell-Ljunggren, Binary and Ternary Thue equations,
Fermat-Catalan.
Long standing problems in one dimensional Iwasawa Theory:
conjectures of Iwasawa, Greenberg, Leopoldt, Gross,
Vandiver.
Practical applications of fingerprint recognition and
mathematical-statistical modelling of the information in
fingerprints with application to modelling of attacks and
security.
Computational Number Theory – algorithms for problems
related to cryptography, arithmetic with focus on applications
of Galois theory in computations.
Diophantine equations – investigation of particular
exponential Diophantine equations by an extensive use of
cyclotomic methods. Examples: the equations of Catalan,
Nagell-Ljunggren, Binary and Ternary Thue equations,
Fermat-Catalan.
Long standing problems in one dimensional Iwasawa Theory:
conjectures of Iwasawa, Greenberg, Leopoldt, Gross,
Vandiver.
Practical applications of fingerprint recognition and
mathematical-statistical modelling of the information in
fingerprints with application to modelling of attacks and
security.
研究兴趣
论文共 68 篇作者统计合作学者相似作者
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Class Groups of Number Fields and Related Topicspp.73-87, (2020)
Class Groups of Number Fields and Related Topicspp.113-118, (2020)
B. Bartolomé,P. Mihăilescu
International Journal of Number Theoryno. 03 (2017): 549-570
Open Problems in Mathematicspp.173-205, (2016)
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