Aleksander Zujev
Perennial Student
Mathematics
Physics
Programming
Teaching
About Me
CV
| Education
| Publications
| Work in Progress
| Journal Club Presentations and Group Talks
| Online Teaching
| Martial Arts
Education
Graduate Education
2003-2010: Graduate School, Physics Department, UC Davis
Condensed matter, supervisor Professor R. T. Scalettar.
Ph.D. in Physics.
University
1974-1976: Moscow State University, mechanical-mathematical department.
1980-1985: Dnepropetrovsk State University, diploma supervisor Professor N. V. Polyakov.
Master of Science
(Equivalent) in Mathematics, with distinction (Cum Laude).
High School
1963-1972: Perevalsk High School 1
Attestat, General education
I was lucky to have very good teachers:
Mathematics teacher Vera Nikitichna, PhD, and
Physics teacher Petr Vasilievich.
Thanks to them I got interested in Science.
Participated in Physics and Mathematics Olympiads.
Awards
1971: Winner of Republican (Ukraine) Physics Olympiad, I degree
1971: Winner of All-Union (USSR) Physics Olympiad, I degree
1972: Winner of Republican (Ukraine) Physics Olympiad, III degree
1972: Winner of All-Union (USSR) Physics Olympiad, III degree
1972: Winner of Voroshilovgrad Oblast Mathematics Olympiad, II degree
Martial Arts
Taekwondo: 1st Dan
Kempo Karate: 2nd degree Black Belt
Online Teaching
Programmed Learning
Journal Club Presentations and Group Talks
Publications
Mathematics
Most of the papers in this section are not yet published in peer reviewed journals, but are in preparation to submit
- The use of heuristical estimate in Number Theory,
Aleksander Zujev, HAL preprint hal-03484332 (2021).
- On integer solutions to x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n,
Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1603.00080 (2016).
- On a floor equation,
Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
- The series that Ramanujan misunderstood,
Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1610.03693 (2016).
- Some almost partition theoretic identities,
Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
- Some left nested radicals,
Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
- On integer solutions to a^2 + b^3 + c^4 = d^5,
Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
- Some equations with features of digit reversal and powers,
Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
- Product of digits of a cube, itself a cube,
Geoffrey B. Campbell and Aleksander Zujev, work in progress.
- Diophantine solutions to a^3 + b^3 + c^3 = d^5 + 1,
Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
- Integer solutions for a^2/1 + (a+1)^2/2 + ... = b^2,
Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
- On integer solutions to a^6 + b^6 = c^6 + d^6,
Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
- On integer solutions to w^5 + x^5 = y^5 + z^3,
Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
- Some Diophantine equations with small integer solutions,
Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
- Gaussian integer solutions for the fifth power taxicab number problem,
Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1511.07424 (2015).
- Variations on Ramanujan's nested radicals,
Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1511.06865 (2015).
- A Diophantine sum with factorials,
Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1510.03056 (2015).
- Note on Non-Unitary Quantum Gates in Quantum Computing,
Aleksander Zujev, Research paper HAL preprint hal-03495489
- About one numerical scheme of solution of boundary problems for biharmonic equations,
N. V. Polyakov, A. S. Zujev, Depository of VINITI (1985, admitted 1986) (in Russian).
Physics
- Pairing Correlations in the two-layer attractive Hubbard Model,
Aleksander Zujev, Richard T. Scalettar, George G. Batrouni, Pinaki Sengupta,
New Journal of Physics 16 (2014) 013004.
- Induced magnetism vs. Kondo screening in alternating Mott-metal layers,
Aleksander Zujev and Pinaki Sengupta,
Phys. Rev. B 88, 094415 (2013).
- Isentropic curves at magnetic phase transitions,
J. D. Cone, A. Zujev, and R. T. Scalettar,
Phys. Rev. B 83, 045108 (2011).
- Superfluid and Mott-insulator phases of one-dimensional Bose-Fermi mixtures,
A. Zujev, A. Baldwin, R. T. Scalettar, V. G. Rousseau, P. J. Denteneer, and M. Rigol,
Phys. Rev. A 78, 033619 (2008).
- Monte Carlo simulations of the superfluid phase transition in an extended Feynman-Kikuchi model,
A. Zujev and R. T. Scalettar, Phys. Rev. B 76, 174524 (2007).
- Computational Study of Lattice Models,
Aleksander Zujev, Dissertation (2010).
- Closed Timelike Curves,
Aleksander Zujev, Work in progress (2021).
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