team

Diana Davidova

Ph.D.

About

Education:
  • Yerevan State University / Bachelor's Degree in Mathematics and Pedagogy (2007)
  • Yerevan State University / Master's Degree in Mathematics (2009)
  • Yerevan State University / Ph.D. in Mathematics Dissertation Topic: "Representations of Interlaced Bilattices" (2013)
  • University of Bergen / Ph.D. in Informatics Dissertation Topic: "On Properties of Bent and Almost Perfect Nonlinear Functions" (2021)

Work Experience:
  • 2009 -2010, Yerevan State University
    • Laboratory Assistant (grant-based)
  • 2011 - 2014, Yerevan State University (grant-based)
    • Researcher
  • 2014 - 2017, European Regional Educational Academy
    • Lecturer
  • 2015 - 2017, Russian-Armenian University
    • Lecturer
  • 2017 - 2022, University of Bergen, Selmer Center
    • Research Fellow
  • 2022 - until now, Institute of Mathematics of NAS Armenia
    • Scientific Secretary
  • 2022 - until now, Armenian State University of Economics
    • Senior Lecturer
  • 2023 - until now, Institute of Mathematics of NAS Armenia
    • Researcher
  • 2024 - until now, Hapalas Tech
    • Engineer

Specialization: Mathematics, Cryptography, Discrete Mathematics, Logic

Taught Subjects:
  • Linear Algebra
  • Abstract Algebra
  • Boolean Algebras
  • Discrete Mathematics
  • Mathematical Logic
  • Information Theory

Professional Development:
  • Participation in international conferences and seminars
  • Organization of seminars and workshops on Boolean functions and cryptography
Awards and Grants:
  • 2022, Emil Artin Junior Prize in Mathematics
  • 2022, Seal of Excellence by EU Commission 
  • University of Bergen research grants for participation in international projects

Scientific interests

  • Boolean Functions
  • Cryptography
  • Lattices
  • Universal Algebra

List of publications

  • D. Davidova and N. Kaleyski, “Classification of all DO planar polynomials with integer coefficients over GF(3n) with n≤7”, submitted to Design, Codes and Crcyptography.
  • L. Budaghyan, M. Calderini, C. Carlet, D. Davidova and N. Kaleyski, “On two fundamental problems on APN functions”, Cryptology ePrint Archive: Report 2020/1359, IEEE Trans. On Inform. Theory, vol. 68, no. 5, May 2022, pp. 3389-3403.
  • D. Davidova and N. Kaleyski, “Generalization of a class of APN binomials to Gold-like functions”, Lecture Notes in Computer Science, 12542, 2021, pp. 195–206.
  • D. Davidova, L. Budaghyan, C. Carlet, T. Helleseth, F. Ihringer, T. Penttila, "Relation between o-equivalence and EA-equivalence for Niho bent functions", Finite Fields and their Applications, 72, 2021, pp. 1-42.
  • D. S. Davidova, Yu. M. Movsisyan, “A set-theoretical representation for weakly idempotent lattices and interlaced weakly idempotent bilattices”, European Journal of Mathematics, 2(2), 2016, p. 3-23.
  • Yu. M. Movsisyan, D.S. Davidova, “A complete characterization of hyperidentities of the variety of weakly idempotent lattices”, Proceedings of the International Conference CSIT, IEEE Trans. on Inform. Theory, Yerevan 2015, p.41-43.
  • D. S. Davidova, Yu. M. Movsisyan, “Hyperidentities of weakly idempotent lattices”, Journal of Contemporary Mathematical Analysis, 50(6), 2015, p. 259-264.
  • D. S. Davidova, Yu. M.Movsisyan, “Weakly idempotent lattices and bilattices, Non-idempotent Plonka functions”, Demonstratio Mathematica, XLVIII(4), 2015, p. 509-535.
  • D. S. Davidova, Yu. M. Movsisyan, “Fixed point theorems for quantum lattices”, Vestnik of Kazan State Energy University, 4(19), 2013, p.78-86.
  • Yu. M. Movsisyan, D. S. Davidova, “A fixed point theorem for q-lattices”, Mathematical Problems of Computer Science, Yerevan, 38, 2012, p.80-82.
  • Yu. M. Movsisyan, D. S. Davidova, “q-Bilattices”, Journal of Mathematical Sciences, Springer, 186(5), 2012, p. 798-801.
  • Yu. M. Movsisyan, D. S. Davidova, “Representation theorem for interlaced q-bilattices”, Logic, Algebra and Truth degrees, Kanazawa, Ishikawa, Japan, JAIST, Kurt Go ̈del society, 2012, September 10-14, 2012, p. 110-113.
  • D. S. Davidova, “q-Lattices representation”, Mathematics in High School, 8(1), 2012, p. 9-16 (Russian).
  • D. S. Davidova, “On q-bilattices”, Proceedings of the Yerevan State University Physical and Mathematical Sciences, 3, 2011, p.9-16.
  • Yu. M. Movsisyan, D. S. Davidova, “q-Bilattices structure”, Proceedings of the International Conference Modern Algebra and its Applications, Georgia, Batumi 2010, p.124-127.
  • Yu. M. Movsisyan, D. S. Davidova, “On the structure of interlaced q-bilattices”, Proceedings of the International Conference CSIT, Yerevan 2009, p.57-58.
  • D. S. Davidova, “Interlaced bilattices”, Proceedings of Yerevan State University, Natural Sciences, 3, 2008, p. 34-38 (Russian).

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