Gábor Farkas Address:  Department of Computer Algebra,                Eötvös Loránd University (ELTE), Faculty of Informatics                H-1117 Budapest, Pázmány Péter sétány 1/C.                H-1518 Budapest, P.O. box 120. Phone:    (+36 1) 372-2500 E-mail:   farkasg at compalg.inf.elte.hu

Main fields of interest

• Computational Number Theory
      ECPP (Elliptic Curve Primality Proving)
      Prime Records (twin primes, Sophie Germain primes, Cunningham-chains, ...)
      Sieving Methods
      Lehmer Totient Problem

• Analytic Number Theory
      Generalized Number Systems

• Probability Theory
      Investigation of Continuous Cyclic-waiting Systems by Simulation

Strong Computer Skills

• C/C++ languages

• Maple (Computer algebra system)

• Database Management Systems
   

Subjects taught at university

• PhD courses
      Number Systems
      Algebraic Number Theory

• MSc courses
      Computational Algebraic Geometry
      Fractals
      Formal Languages and Automata Theory

• BSc courses
      Introductory Mathematics for Computer Scientists
      Discrete Mathematics
      Introductory Computer Science

• BSc courses in English
      Introductory Computer Science for Physicians
      Introductory Mathematics for Pharmacists

On my work

• Curriculum Vitae

• List of Publications

Lecture Notes

• Introductory Mathematics ( BSc course for computer scientists), Chapters:
          Set Theory
          Graph Theory
          Algebra
                  Group Theory
                  Ring Theory
                  Polynomials

• Introductory Mathematics with Computational Applications - (BSc course for computer scientists), Chapters:
          Set Theory
          Graph Theory
          Algebra
                  Group Theory
                  Ring Theory
                  Polynomials

• Algorithms of Informatics, Vol.2 (Co-author I. Kátai), Chapter:
          Number Theory

• Computations in Algebraic Geometry (MSc course for computer scientist), (Co-author I. Kátai)

• Discrete Mathematics (Slides, BSc course for computer scientists)
          Mathematical Logic
          Functions
          Algebraic Structures
          Set Theory
          Combinatorics
          Graph Theory
          Number Theory
          Cryptography