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CURRICULUM VITAE

1. Name:

Volodymyr Sushch

2. Mailing address:

Koszalin University of Technology,
Sniadeckich 2, 75-453 Koszalin, Poland
e-mail address: first.last(at)tu.koszalin.pl

ORCID: 0000-0003-0758-1701

3. Telefon number:

office: +48 94 3478533

4. Name of institution and position held there:

Associate Professor in Department of Civil Engineering, Environmental and Geodetic Sciences, Division of Mathematics of Koszalin University of Technology

5. Academic Employment:

2003 - : Associate Professor, Department of Civil Engineering, Environmental and Geodetic Sciences, Division of Mathematics, Koszalin University of Technology, Poland.
1997-2003: Senior Lecturer and Researcher, Department of Civil and Environmental Engineering, Division of Mathematics, Koszalin University of Technology, Poland (from October).
1989-1997: Research Fellow. Pidstrygach Institute of Applied Problems of Mechanic and Mathematic, L'viv, Ukrainian Academy of Science.

6. Education:

2003: Dr.Sc. (Habilitation), Faculty of Computational Mathematics and Cybernetics, Lomonosov State University, Moscow. Thesis: "Discrete models of some mathematical physics problems".
1989: Ph.D., Steklov Mathematical Institute of Russian Academy of Sciences, Moscow. Thesis: "Control in nonlocal boundary value problems". Advisor: Prof. A.A. Dezin.
1985-1988: Postgraduated student (Aspirant) in Steklov Mathematical Institute of Russian Academy of Sciences, Moscow.
1985: M.Sc. in Mathematics (Diploma with Honor). Lviv State University, Ukraine.
1980-1985: Undergraduate studies at the Department of Mechanics and Mathematics, L'viv State University, Ukraine.

7. Research interests:

Differential equations, boundary value problems, discrete models of mathematical physics equations

8. Teaching experience:

1997 - : Koszalin University of Technology, Mathematics I, Mathematics II, Mathematics III, Mathematical statistics

List of main publications:

 

  1. Sushch, V.: 2D Discrete Hodge–Dirac Operator on the Torus. Symmetry. (2022); 14(8):1556. DOI:10.3390/sym14081556
  2. Sushch, V.:  Chiral Properties of Discrete Joyce and Hestenes Equations,  in book: Differential and Difference Equations with Applications (ICDDEA 2019), Springer Proceedings in Mathematics and Statistics. Vol. 333. P. 765-778. Springer New York LLC. 2020. DOI: 10.1007/978-3-030-56323-3_55
  3. Sushch, V.: A Discrete Version of Plane Wave Solutions of the Dirac Equation in the Joyce Form. Advances in Applied Clifford Algebras,(2020). 30(46) DOI: 10.1007/s00006-020-01072-w   
  4. Sushch, V.:  A Discrete Dirac-Kähler Equation Using a Geometric Discretisation Scheme, Advances in Applied Clifford Algebras, (2018). 28(4). P. 1-17. DOI: 10.1007/s00006-018-0889-0
  5. Sushch, V.: Discrete versions of some Dirac type equations and plane wave solutions,  in book: Differential and Difference Equations with Applications (ICDDEA 2017), Springer Proceedings in Mathematics and Statistics. Vol. 230. P. 463-475. Springer New York LLC. 2018. DOI: 10.1007/978-3-319-75647-9_37
  6. Sushch, V.: Discrete Dirac-Kähler equation and its formulation in algebraic form, Pliska Stud. Math., (2016). 26. P. 225-238. 
  7. Sushch, V.: Discrete Dirac-Kähler and Hestenes equations, in book: Differential and Difference Equations with Applications. Series: Springer Proc. Math. Stat.  Vol. 164.  P. 433-442. Springer, New York, 2016. DOI: 10.1007/978-3-319-32857-7_40
  8. Sushch, V.: On the chirality of a discrete Dirac-Kähler equation, Rep. Math. Phys., (2015). 76(2). P. 179-196. DOI: 10.1016/S0034-4877(15)30028-8
  9. Sushch, V.: A discrete model of the Dirac-Kähler equation, Rep. Math. Phys., (2014). 73(1). P. 109-125. DOI: 10.1016/S0034-4877(14)60035-5
  10. Sushch, V.: A double complex construction and discrete Bogomolny equations, in book: Differential and Difference Equations with Applications. Series: Springer Proceeding in Mathematics & Statistics. Vol. 47. 2013. DOI: 10.1007/978-1-4614-7333-6_57
  11. Sushch, V.: Instanton-anti-instanton solutions of discrete Yang-Mills equations, Mathematica Bohemica, (2012). Vol. 137. No. 2. P. 219-228.
  12. Sushch, V.:  Discrete analogue of Bogomolny equations, Mat. Metod. Fiz.-Mekh. Polya, (2011). 54. No 4. P. 36-44; English translation in J. Math. Sci., (2012). 187. No 5. P. 574-582.
  13. Sushch, V.: Self-dual and anti-self-dual solutions of discrete Yang-Mills equations on a double complex, Cubo A Mathematical Journal, (2010). Vol. 12. No 3. P. 99-120. DOI: 10.4067/S0719-06462010000300007
  14. Sushch, V.:  A two-dimensional discrete Laplacian and the Green function, Proceedings of Intern. Conference "Modern problems of mechanics and mathematics", May 25-29, Lviv. 2008. Vol. 3. P. 175-177.
  15. Sushch, V.: Green function for a two-dimensional discrete Laplace-Beltrami operator, Cubo A Mathematical Journal, (2008). Vol. 10. No 2. P. 47-59.
  16. Sushch, V.: Essential self-adjointness of a discrete magnetic Schrodinger operator, Mat. Metod. Fiz.-Mekh. Polya, (2008). 51. No 1. P. 74-81; English translation in J. Math. Sci., (2009). 160. No. 3. P. 368-378.
  17. Sushch, V.: A gauge-invariant discrete analog of the Yang-Mills equations on a double complex, Cubo A Mathematical Journal, (2006). Vol. 8. No3. P. 61-78.
  18. Sushch, V.:  Discrete models of operators generated by the Yang-Mills equations on a four-dimensional torus, Mat. Metod. Fiz.-Mekh. Polya, (2006). 49. No1. P. 208-216.
  19. Sushch, V.: On some discrete model of magnetic Laplacian,  Ukrainian Mathematical Bulletin, (2005). Vol. 2. No 4. P. 583-599.
  20. Sushch, V.: Discrete models of self-dual and anti-self-dual equations, Nonlinear Boundary Value Problems, (2004). 14. P. 112-117.
  21. Sushch, V.: Discrete model of Yang-Mills equations in Minkowski space, Cubo A Mathematical Journal, (2004). Vol. 6. No 2. P. 35-50.
  22. Sushch, V.: Discrete analogs of operators generated by the Yang-Mills equations. Proceedings of Intern. Conference "Mathematical Problems of Mechanics of Nonhomogeneous Structures. L'viv 2003. P. 501-502.
  23. Sushch, V.: On some discretization of Yang-Mills equations in Minkowski space, Nonlinear Boundary Value Problems, (2003). 13. P. 197-208.
  24. Sushch, V. N.: Discrete models of some mathematical physics problems, Autoref. of Dr. Sci. Dissertation. MAKS Press. Moscow. 2002. 27 p.
  25. Sushch, V.: On some dffierential-difference model of the mixed problem for the wave equation, Mat. Metody Fiz.-Mekh. Polya, (2002). Vol. 45. No 3. P. 54-61.
  26. Sushch, V. N.: Discrete models on the 2-sphere, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky, (2000). No 2. P. 27-32.
  27. Sushch, V.: On discrete models of the wave equations, Proceedings of Intern. Conference on Differential Equations "Equadiff99" Berlin, August 1-7, 1999. Singapore: World Scientific Publishing Co. Pte.Ltd. 2000. P. 354-356.
  28. Sushch, V. N.: On some finite-difference analogs of invariant first-order hyperbolic systems, Differentsial'nye Uravneniya, (1999). Vol. 35. No 3. P. 411-417; English transl. in Differential Equations, (1999). Vol. 35. P. 414-420.
  29. Sushch, V. : Invariant differential operators in mathematical physics problems and discrete models, Zeszyty naukowe Wydziau BiIS. Koszalin (1998). No 13. P. 315-322 (in polish).
  30. Sushch, V. N.: Distributed control in a class of nonlocal boundary value problems, Mat. Metody Fiz.-Mekh. Polya, (1997). Vol. 40. No 3. P. 50-54.; English transl. in Journal Math. Sci., (1999). Vol. 96. No 1. P. 2838-2842.
  31. Sushch, V. N.: Gauge-invariant discrete models of Yang - Mills equations. Mat. Zametki, (1997). Vol. 61. No 5. P. 742-754.; English transl. in Mathematical Notes, (1997). Vol. 61. No 5. P. 621-631.
  32. Sushch, V. N.: A discrete model of Yang - Mills equations, Adv. in systems Science and App., (1997). Special issue. P. 1-13.
  33. Sushch, V. N.: Difference Poisson equation on a curvilinear mesh, Differentsial'nye Uravneniya, (1996). Vol. 32. No 5. P. 684-688; English transl. in Differential Equations , (1996). Vol. 32. P. 693-697.
  34. Sushch, V. N.: The discrete analog of a nonlocal boundary value problem, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky, (1995). No. 1. P. 38-40.
  35. Sushch, V. N.: A discrete analog of the Cauchy integral, Differentsial'nye Uravneniya, (1993). Vol.29. No 8. P. 1433-1441; English transl. in Differential Equations, (1993). Vol. 29. No 8. P.1242-1248.
  36. Sushch, V. N.: Discrete models of invariant differential operators, Proceeding Intern.AMSE Conference "Applied Modeling & Simulation". Lviv, Sept.30-Oct.2, 1993, AMSE Press. P. 27-38.
  37. Sushch, V. N.: Nonlocal boundary value problems with the finite control, Mat. Metody Fiz.-Mekh. Polya, (1991). 34. P. 50-55; English transl. in Journal of Soviet Math., (1993). Vol. 66, No 6. P. 2595-2600.
  38. Sushch, V. N.: Optimal control in nonlocal boundary value problems, Autoref. of Ph. D. Sci. Dissertation, Moscow, 1990.
  39. Sushch, V. N.: Control in nonlocal boundary value problems, Differentsial'nye Uravneniya, (1989). Vol.25. No 1. P. 145-153; English transl. in Differential Equations, (1989). Vol. 25. P. 116-123.

Conference presentations:

  • International Conference dedicated to 100th birthday of Stefan Banach, Lviv, May 6-8, 1992;
  • Intern. AMSE Conference "Applied Modeling & Simulation", Lviv, Sept. 30-Oct.2, 1993;
  • International Conference "Modern problems of mechanics and mathematics ", Lviv, May 25-28, 1998;
  • International Conference on Differential Equations "Equadiff99" Berlin, August 1-7, 1999;
  • 3rd European Congress of Mathematics, Barcelona, July 10 to 14, 2000;
  • International Conference "Nonlinear partial differential equations", Kiev, August 22-28, 2001;
  • XXX ogólnopolska konferencja zastosowań matematyki, Zakopane-Koscielisko, 18-25. 09. 2001;
  • XXXI ogólnopolska konferencja zastosowań matematyki, Zakopane-Koscielisko, 17-24.09. 2002;
  • International Conference "Mathematical Problems of Mechanics of Nonhomogeneous Structures, Lviv, 2003;
  • International Conference NPDE 2003, Alushta, September 15-21, 2003;
  • XXXIII ogólnopolska konferencja zastosowań matematyki, Zakopane-Koscielisko, 14-21.09. 2004;
  • Intern. Conference "Nonlinear partial differential equations", Alushta, September 17-23, 2005;
  • Intern. Congress of Mathematicians, ICM 2006, Madrid, August 22-30, 2006;
  • International Conference on Differential Equations dedicated to the 100th anniversary of Ya.B.Lopatynky, Lviv, September 12-17, 2006;
  • International Conference on Differential Equations "Equadiff2007", August 5-11, 2007, Vienna;
  • Intern. Conference "Modern problems of mechanics and mathematics", Lviv, May 25-29, 2008;
  • International Conference on Differential Equations and their Applications "Equadiff 12", July 20-24, 2009, Brno, Czech Republic;
  • International Conference on DDEA, Ponta Delgada, Portugal, July 4-8, 2011;
  • International Conference on Differential Equations and their Applications "Equadiff 13", August 26 30, 2013, Prague, Czech Republic;
  • Symposium on Differential Equations and Difference Equations, SDEDE 2013, 1st 5th September 2013, Bayrischzell, Germany;
  • V Annual International Conference of the Georgian Mathematical Union, September 8 - 12, 2014, Batumi, Georgia;
  • International Conference on DDEA, Amadora, Portugal, May 18-22, 2015;
  • Third International Conference New Trends in the Applications of Differential Equations in Sciences,   July 4-9, 2016, Sofia, Bulgaria;
  • International Conference on DDEA, Amadora, Portugal, June 05-09, 2017;
  • International Conference on Differential Equations and their Applications "Equadiff 2017", July 24-28, 2017, Bratislava, Slovakia;
  • International Conference on Differential and Difference Equations Applications, ICDDEA 2019, Lisbon, Portugal, July 01-05, 2019;
  • International Conference on Hypercomplex Analysis in Mathematics and in the Applied Sciences, HAMS 2020, Weimar, Germany, February 19-21, 2020.

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