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  AM&CP  » Structure » Staff » Uteshev A. Y.
Scopus Author ID: 6603074258
ORCID ID: 0000-0002-8344-3266
ResearcherID: H-8049-2013

Alexei Uteshev


D.Sc., Professor of Department of Medical and Biological Systems Control

Room 347
E-mail: a.uteshev@spbu.ru

Teaching responsibilities

Areas of research

  • Computational Algebra, Geometry and Number Theory
  • Polynomial Optimization
  • Ordinary Differential Equations
  • Facility Location
  •  Electronic Educational Environment   Notebook at the Virtual Faculty   


  • CASC 2015 (Aachen), 2013 (Berlin), 2007 (Bonn)
  • ICM 06 (Madrid) (2006)
  • ICCSA (St.Petersburg, 2019) (2019)


  • Kepler University, Linz, Austria (1994-1995)
  • University of Twente, the Netherlands (1991-1992)


RFBR (Russian Foundation for Basic Research) 2017-2021.

Development of the 3D vizualisation toolokit for archeological investigations


RFBR (Russian Foundation for Basic Research) 2001-2002.

Development of symbolic methods for investigating the algebraic equation systems arising from the optimization theory.


International Publishing House "Nauka" prize for the best publication of the year 1998.

Scientific publications

  1. Uteshev A.Yu., Semenova E.A. Analytics of the multifacility Weber problem // LNCS. Springer, 2020. 12251. 395-411.
  2. Bogdanov A., Uteshev A., Khvatov V. Error Detection in the Decentralized Voting Protocol // Computational Science and Its Applications – ICCSA 2019. ICCSA 2019. Springer, 2019. LNCS 11620. 485-494.
  3. Chao Zhai, Chen M.Z.Q., Alderisio F., Uteshev A.Yu, di Bernardo M. An interactive control architecture for interpersonal coordination in mirror game // Control Engineering Practice. 2018. 80. 36-48.
  4. Uteshev A.Yu., Goncharova M.V. Point-to-Ellipse and Point-to-Ellipsoid Distance Equation Analysis // J.Comput. Appl. Math. 2018. 328. 232-251.
  5. Uteshev A.Yu., Yashina M.V. On Maxwell’s Conjecture for Coulomb Potential Generated by Point Charges // Transactions on Computational Sciences XXVII. LNCS. Springer, 2016. 9570. 68-80.
  6. Uteshev A.Yu., Yashina M.V. Distance Evaluation Between an Ellipse and an Ellipsoid // Proc. 17th Internat. Workshop CASC 2015, LNCS. Springer, 2015. 9301. 468-478.
  7. Uteshev A.Yu., Yashina M.V. Metric Problems for Quadrics in Multidimensional Space // J. Symbolic Computation. 2015. 68, part 1. 287-315.
  8. Uteshev A.Yu. Analytical Solution for the Generalized Fermat-Torricelli Problem // Amer. Math. Monthly. 2014. V. 121, No 4. P. 318-331.
  9. Uteshev A.Yu., Yashina M.V. Stationary Points for the Family of Fermat-Torricelli-Coulomb-like potential functions // Proc. 15th Workshop CASC (Computer Algebra in Scientific Computing), Berlin 2013. LNCS. Springer, 2013. V. 8136. P. 412-426.
  10. Uteshev A.Yu., Yashina M.V. Distance Computation from an Ellipsoid to a Linear or a Quadric Surface in R^n // Proc. 10th Workshop CASC07 (Computer Algebra in Sсientific Computing), Bonn 2007, LNCS. Springer, 2007. V. 4770. P. 392-401.
  11. Bikker P., Uteshev A. Yu. On the Bezout construction of the resultant // J. Symbolic Computation. 1999. Vol. 28, No. 1. P. 45-88.
  12. Uteshev A.Yu. Localization of roots of a polynomial not represented in canonical form // Proc. Second Workshop CASC (Computer Algebra in Scientific Computing). Munich 1999. LNCS. Springer, 1999. P.431-440.
  13. Uteshev A.Yu., Cherkasov T.M. The search for the maximum of a polynomial // J. Symbolic Computation. 1998. Vol. 25, #5. P. 587-618.


  1. Uteshev A.Yu., Semenova E.A. Length of a Full Steiner Tree as a Function of Terminal Coordinates. 5 Feb.2021
  2. Uteshev A.Yu., Semenova E. Geometry and Analytics of the Multifacility Weber Problem. 30 Dec 2019.
  3. Zhai Chao, Chen M.Z.Q., Alderisio F., Uteshev A.Yu.,  di Bernardo M. Bridging the Gap between Individuality and Joint Improvisation in the Mirror Game. 16 Nov 2016
  4. Uteshev A.Yu., Baravy I. Solution of Interpolation Problems via the Hankel Polynomial Construction. 29 Mar 2016.
  5. Uteshev A.Yu. Some Analytics for Steiner Minimal Tree Problem for Four Terminals. 13 May 2015


  • Mrs. Kalinina Elizabeth, DSc
  • Mr. Cherkasov Timofei, PhD
  • Mrs. Goncharova (Yashina) Marina, PhD
  • Mr. Shaposhnikov Andrej, MSc
  • Mr. Ivanov Vladimir, MSc
  • Mr. Abramov Dmitry, MSc
  • Mr. Tur Nikolaj, MSc
  • Mr. Ulanov Evgenij, MSc
  • Mr. Marov Alexei, MSc
  • Mr. Mutygullin Ruslan, MSc
  • Ms. Semenova Elizabeth, MSc


Marov A., Uteshev A. Systems and methods for error correction coding. US9647690B2, 2017-05-09