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duje

Fields of interest:

  • Diophantine equations (11D) - Diophantine m-tuples, i.e. sets with the property that the product of any two of its distinct elements is one less than a square; Simultaneous Pellian equations; Thue equations and inequalities

  • Elliptic curves (11G05) - Construction of high-rank elliptic curves; Integer points on families of elliptic curves

  • Diophantine approximations (11J) - Applications of Baker's theory and hypergeometric method; Continued fractions

  • Polynomials (11C08) - Indecomposability of polynomials and related Diophantine equations; Polynomial root separation

  • Fibonacci and Lucas numbers (11B39) - Diophantine and divisibility properties of binary recursive sequences; Connections with Diophantine m-tuples

  • Cryptography (94A60) - Elliptic Curve Cryptography; Cryptanalysis of RSA; Teaching

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