Archive

Research Papers

Journal articles and preprints by members of the Department of Mathematics. Titles link to the publisher or to arXiv.

2026

1. Circular orbits around regular black holes: shadows as diagnostics of nonlinear electrodynamics Bobir Toshmatov, Askar Abdikamalov, Sardor Tojiev, Dilrabohkon Urinboeva, Farruh Atamurotov, Ahmadjon Abdujabbarov Annals of Physics
2. Modeling reflection spectra of super-Eddington X-ray sources Swarnim Shashank, Askar B. Abdikamalov, Honghui Liu, F. J. E. Baker, A. J. Young Astrophysical Journal
3. Testing general relativity with NuSTAR data of galactic black holes. II Ashutosh Tripathi, Swarnim Shashank, Gitika Mall, Askar B. Abdikamalov Publications of the Astronomical Society of Japan
4. A criterion for the algebraic density property of smooth affine SL2-varieties Rafael B. Andrist, J. Draisma, G. Freudenburg, G. Huang, F. Kutzschebauch Advances in Mathematics 503
5. Direct products for the Hamiltonian density property Rafael B. Andrist, G. Huang Journal of Geometric Analysis 36
6. On complete generators of certain Lie algebras on Danielewski surfaces Rafael B. Andrist International Journal of Mathematics 37
7. On the connectedness of the boundary of q-complete domains Rafael B. Andrist Annales Polonici Mathematici
8. Convergence properties of a φ-Laplacian under natural constraints Waldo Arriagada Portugaliae Mathematica
9. Interface distributions in partial segregation problems Farid Bozorgnia Applicable Analysis
10. Tilting objects in graded singularity categories of certain toric Gorenstein singularities Xiaojun Chen, L. Liu, J. Zeng Journal of Noncommutative Geometry
11. A comparative analysis of computer-aided and traditional teaching in primary mathematics: evidence from Uzbekistan Alisher Ikramov, S. Usmanbekov International Journal of Information and Education Technology
12. Early use of sodium-glucose cotransporter 2 inhibitors after acute myocardial infarction: 2023–2025 data and clinical implications R. Trigulova, D. Akhmedova, Sh. Akhmedova, Sh. Mukhtarova, A. Ikramov, D. Alimova Kardiologija v Belarusi
13. Machine learning risk stratification for major adverse cardiovascular events after acute myocardial infarction in patients receiving early empagliflozin therapy R. Trigulova, Alisher Ikramov, D. Akhmedova, S. Akhmedova, S. Mukhtarova Artificial Intelligence in Health
14. Gradient measures on Cayley trees associated with two periodic homogeneous and inhomogeneous boundary laws for the SOS model Risolat A. Ilyasova Mathematical Physics, Analysis and Geometry 29
15. A note on semi-regular continued fractions with bounded partial quotients S. Kadyrov, A. Kazin, S. Duisen Arabian Journal of Mathematics
16. Adaptive tracking control with Lyapunov regularization for data-calibrated Takagi–Sugeno fuzzy Markov jump biological systems Shirali Kadyrov, Ardak Kashkynbayev, Yershat Sapazhanov AIMS Mathematics
17. Advancing machine-generated text detection: a comprehensive evaluation of transformer-based models Batyr Sharimbayev, Shirali Kadyrov Journal of Advances in Information Technology
18. Approximating geodesic distances via heat kernels for geometric deep learning Baimakhanbet Dinmukhamed, Shirali Kadyrov 2026 IEEE 6th International Conference on Smart Information Systems and Technologies
19. Congruence images of continued-fraction semigroups and trace residues Shirali Kadyrov International Journal of Number Theory
20. Detecting AI-generated Kazakh text with a specialised small encoder Abzalbek Ulasbekov, Shirali Kadyrov, Batyr Sharimbayev 2026 IEEE 1st International Conference on Artificial Intelligence Implementation and Applications
21. Deterministic solvency thresholds and RL-based premium calibration for life insurance under age-structured epidemics Bizhigit Sagidolla, Shirali Kadyrov Electronic Research Archive
22. Evaluating open-source large language models on Kazakhstan’s NIS admission examination Aliya Mukhtarova, Sanzhar Tleubergen, Shirali Kadyrov 2026 IEEE 6th International Conference on Smart Information Systems and Technologies
23. Evaluating robustness of AI-generated text detectors under simulated iterative obfuscation Batyr Sharimbayev, Shirali Kadyrov, Adil Akhmetov, Abzalbek Ulasbekov 2026 IEEE 1st International Conference on Artificial Intelligence Implementation and Applications
24. From midterm to final: using Rasch analysis to measure growth and fairness in university calculus assessments S. Kadyrov, R. Callingham, A. Makhmutova, Gonçalo Pinto Eurasia Journal of Mathematics, Science and Technology Education
25. Hardy-regularized deep neural networks for stable function approximation Samat Anuarbek, Shirali Kadyrov 2026 IEEE 6th International Conference on Smart Information Systems and Technologies
26. Layer-wise probing of paralinguistic attributes in fine-tuned Whisper for Kazakh speech A. Aldabergen, B. Kynabay, S. Kadyrov Engineering, Technology and Applied Science Research
27. Learning adaptive routing policies under stochastic service times Yelbek Abdumajitov, Oybek Abdukhalimov, Azamkhon Azamov, Shirali Kadyrov 2026 18th International Conference on Electronics, Computer and Computation
28. Multi-task learning for Uzbek news text classification Bahor Eshmirzayeva, Shirali Kadyrov 2026 18th International Conference on Electronics, Computer and Computation
29. Multi-task learning with CORAL-based feature alignment for cross-domain plant disease detection Mohina Rustamova, Shirali Kadyrov, Rashid Baimukashev 2026 18th International Conference on Electronics, Computer and Computation
30. Novel representations of log2 with polynomial continued fractions S. Kadyrov, N. Shynarbek, A. Orynbassar, M. A. Tahir Arabian Journal of Mathematics
31. Raising operators and a parametric polynomial continued fraction for π² Nurdaulet Shynarbek, Shirali Kadyrov, Alibek Orynbassar, Muhammad Ateeq Tahir Electronic Research Archive
32. One-point restricted conformal blocks and the fusion tensor product Jianqi Liu Mathematische Zeitschrift
33. Twisted restricted conformal blocks of vertex operator algebras II: twisted restricted conformal blocks on totally ramified orbicurves Xu Gao, Jianqi Liu, Yiyi Zhu International Mathematics Research Notices 2026
34. C⁰-stability of topological entropy for Reeb flows in dimension 3 Marcelo R. R. Alves, L. Dahinden, M. Meiwes, Abror Pirnapasov Journal of the European Mathematical Society
35. The asymptotic mean action and the asymptotic linking number for pseudo-rotations D. Bechara Senior, P. Le Calvez, Abror Pirnapasov Mathematische Zeitschrift
36. Integration à la Harish-Chandra for bi-graded Lie algebras A. Kotov, V. Salnikov, Olga Salnikova Chekeres SIGMA 22
37. Supergeometry and dissipative quantum fields for engineers Olga Salnikova Chekeres, V. Salnikov Mathematics and Mechanics of Solids
38. Second-order polygonal discretization of the area functional and explicit error asymptotics Anna Tomskova, Sarvar Bazarov Journal of Numerical Analysis and Approximation Theory
39. Invariants of pairs of anti-commuting matrices under simultaneous conjugation Rustam Turdibaev Trends in Mathematics, Springer Nature Switzerland, 53–61
40. Optimal primary invariants of the invariant anti-commuting variety Rustam Turdibaev Bulletin of the Institute of Mathematics 9(1), 147

Preprints

1. Infinite transitivity and polynomial vector fields Rafael B. Andrist, I. Arzhantsev arXiv:2605.20480
2. Reinhardt domains determined by their endomorphisms Rafael B. Andrist, W. Zwonek arXiv:2604.19364
3. The bracket width for Lie algebras of vector fields is finite Rafael B. Andrist, A. Regeta arXiv:2608.24849
4. Coincidence criteria and junction obstructions for two partially segregated elliptic systems Farid Bozorgnia arXiv:2601.05682
5. Inverse Robin spectral problem for the p-Laplace operator Farid Bozorgnia, Olimjon Eshkobilov arXiv:2603.07613
6. Numerical algorithms for partially segregated elliptic systems Farid Bozorgnia, A. Arakelyan, V. Kungurtsev, J. Valdman arXiv:2603.05991
7. Optimal control in Hilbert complex spaces with finite element exterior calculus Farid Bozorgnia, M. Holst, A. Kumar, V. Kungurtsev, M. Licht, G. Tsogtgerel arXiv:2608.25266
8. Rate of convergence of the p-torsion function to the distance function Farid Bozorgnia, M. Bayrami-Aminlouee, Khudoyor Mamayusupov arXiv:2609.06534
9. Algebraic K-theory, cohomotopy K-groups, and Koszul duality Xiaojun Chen, Farkhod Eshmatov, Maozhou Huang arXiv:2605.05128
10. A nowhere-zero point for several linear mappings simultaneously Amir Jafari arXiv:2608.23647
11. Higher Schwarzians Amir Jafari arXiv:2603.07802
12. On union-closed families with prescribed number of k-sets Amir Jafari arXiv:2609.11358
13. The list edge-colouring conjecture for new infinite families Amir Jafari arXiv:2608.22895
14. Effective intrinsic ergodicity for renewal-type potentials on S-gap shifts F. Haydarov, S. Kadyrov, M. Makhmudov, Khudoyor Mamayusupov arXiv:2606.17031
15. Limit-cycle replication via Chebyshev pullbacks and a quadratic ceiling for separable schemes Olimjon Eshkobilov, S. Kadyrov, Khudoyor Mamayusupov arXiv:2604.12883
16. On strong identities of almost-canonically seminormed rings X. Gao, Jianqi Liu arXiv:2606.05965
17. Vector bundles of coinvariants for admissible affine vertex operator algebras V. Alekseev, Jianqi Liu arXiv:2609.09154
18. Schur multipliers with unequal operator and completely bounded norms on S_p, 1<p≠2<∞ J. Huang, F. Sukochev, Anna Tomskova arXiv:2608.20933

2025

1. About the accuracy of the relxill/relxill_nk models in view of the next generation of X-ray missions H. Liu, Askar B. Abdikamalov, T. Mirzaev, C. Bambi, T. Dauser, J. A. García, Z. Zhang Monthly Notices of the Royal Astronomical Society
2. Measuring black hole spins with X-ray reflection spectroscopy: a GRMHD outlook Swarnim Shashank, Askar B. Abdikamalov, Honghui Liu, et al. Physical Review D
3. Testing regular black holes with X-ray data of GX 339-4 S. Riaz, M. Kyriazis, Askar B. Abdikamalov, C. Bambi, S. Shashank Journal of Cosmology and Astroparticle Physics
4. Local fractal functions on Orlicz–Sobolev spaces Waldo Arriagada Studia Universitatis Babeş-Bolyai Mathematica
5. The Read–Bajraktarević functional on Hardy–Orlicz spaces Waldo Arriagada Fixed Point Theory and Algorithms for Sciences and Engineering
6. A Laplacian-based quantum graph neural networks for quantum semi-supervised learning Hamed Gholipour, Farid Bozorgnia, Kailash Hambarde, Hamzeh Mohammadigheymasi, Javier Mancilla, Andre Sequeira, João Neves, Hugo Proença, Moharram Challenger Quantum Information Processing
7. Improved graph-based semi-supervised learning schemes Farid Bozorgnia Computational and Applied Mathematics 45
8. Optimal control of two-phase membrane problem Farid Bozorgnia, Vyacheslav Kungurtsev Applied Mathematics & Optimization
9. Reinforcement learning for PID fine-tuning in nonlinear temperature control systems Shirali Kadyrov, Ardak Kashkynbayev, Yershat Sapazhanov, Farid Bozorgnia 2025 IEEE 5th International Conference on Smart Information Systems and Technologies
10. Holomorphic Koszul–Brylinski homologies of Poisson blow-ups Xiaojun Chen, Y. Chen, S. Yang, X. Yang Acta Mathematica Sinica, English Series
11. Quantization of the minimal nilpotent orbits and the quantum Hikita conjecture Xiaojun Chen, W. He, S. Yu Representation Theory 29
12. Singularity categories and singular loci of certain abelian quotient singularities Xiaojun Chen, Jieheng Zeng Journal of the London Mathematical Society
13. Noncommutative Poisson structure and invariants of matrices Farkhod Eshmatov, Xabier García-Martínez, Rustam Turdibaev Advances in Mathematics
14. On the coordinate rings of Calogero–Moser spaces and the invariant commuting variety of a pair of matrices Farkhod Eshmatov, Xabier García-Martínez, Zafar Normatov, Rustam Turdibaev Results in Mathematics
15. A jamming game for fleets of mobile vehicles Walton P. Coutinho, Jörg Fliege Optimization and Engineering
16. Autonomous navigation of unmanned aerial vehicles (UAVs) for border patrolling: a stochastic framework Busra Biskin, Jörg Fliege, Antonio Martinez-Sykora IMA Journal of Management Mathematics
17. Nash equilibria in transmitter-jamming games for fleets of UAVs Walton Coutinho, Jörg Fliege Proceeding Series of the Brazilian Society of Computational and Applied Mathematics
18. Routing a fleet of unmanned aerial vehicles: a trajectory optimisation-based framework Walton P. Coutinho, Jörg Fliege, Maria Battarra, Anand Subramanian Transportation Research Part B: Methodological
19. Optimizing liveness for blockchain-based sealed-bid auctions in rational settings Maozhou Huang, Xiangyu Su, Mario Larangeira, Keisuke Tanaka International Conference on Financial Cryptography and Data Security, Springer
20. Basic medication therapy based on target glycated hemoglobin levels in patients with ischemic heart disease and diabetes Raisa Trigulova, Alisher Ikramov, Dilnoza Alimova, Shukhrat Doniyorov, Dilafruz Akhmedova, Shakhnoza Mukhtarova Eurasian Journal of Medicine and Oncology
21. On retrieval of secret key parameters from symmetric block cipher O’zDST 1105:2009 using modified SQUARE cryptanalysis Alisher Ikramov Journal of Discrete Mathematical Sciences and Cryptography
22. Predicting risk of future hospitalizations in patients with type 2 diabetes mellitus and cardiovascular diseases using machine learning Alisher Ikramov, S. Mukhtarova, R. Trigulova, D. Alimova, D. Akhmedova Lecture Notes in Networks and Systems
23. Pinned gradient measures of SOS model associated with HA-boundary laws on Cayley trees F. H. Haydarov, Risolat Ilyasova, Khudoyor Mamayusupov Nanosystems: Physics, Chemistry, Mathematics
24. A compartmental epidemic model with age stratification for insurance premium calculation Shirali Kadyrov, Gauhar Kayumova, Asilbek Yallaboyev, Bizhigit Sagidolla Mathematical Biosciences and Engineering
25. A comprehensive survey of methods and challenges of the vehicle routing problem with uncertainties Meraryslan Meraliyev, Cemil Turan, Shirali Kadyrov, Ualikhan Sadyk Mathematics
26. A novel recommender system for adapting single machine problems to distributed systems within MapReduce Kamila Orynbekova, Shirali Kadyrov, Andrey Bogdanchikov, Saidakmal Oktamov Bulletin of Electrical Engineering and Informatics
27. Deep reinforcement learning for dynamic vehicle routing with demand and traffic uncertainty Shirali Kadyrov, Azamkhon Azamov, Yelbek Abdumajitov, Cemil Turan Operations Research Perspectives
28. Endemic coexistence and competition of virus variants under partial cross-immunity Shirali Kadyrov, Farkhod Haydarov, Khudoyor Mamayusupov, Komil Mustayev Electronic Research Archive
29. Evaluating LLMs on Kazakhstan’s mathematics exam for university admission Shirali Kadyrov, Bolatbek Abdrasilov, Aslan Sabyrov, Nurseit Baizhanov, Alfira Makhmutova, Patrick C. Kyllonen Frontiers in Artificial Intelligence
30. Global stability analysis of a novel epidemic model with separate compartments for symptomatic and asymptomatic cases Sh. Kadyrov, Y. Aitzhanov, Z. I. Muminov Lobachevskii Journal of Mathematics
31. Multi-class detection of humanized AI text using machine learning and transformer models Batyr Sharimbayev, Aiken Kazin, Shirali Kadyrov 2025 International Conference on Computational Intelligence and Knowledge Economy
32. On the solutions of second order difference equations with variable coefficients Shirali Kadyrov, Nurdaulet Shynarbek, Alibek Orynbassar Journal of Interdisciplinary Mathematics
33. Route splitting and adaptive mutation in genetic algorithms for the capacitated vehicle routing problem Shirali Kadyrov, Cemil Turan Bulletin of Electrical Engineering and Informatics
34. Text classification for AI generated content with machine learning and deep learning models Batyr Sharimbayev, Shirali Kadyrov 2025 IEEE 5th International Conference on Smart Information Systems and Technologies
35. Generating special curves for cubic polynomials Khudoyor Mamayusupov, Figen Çilingir, Marks Ruziboev, Gafurjan Ibragimov, Bruno Antonio Pansera Mathematics
36. N5 as a subalgebra of a principally ordered naturally ordered regular semigroup with a zero element Gonçalo A. Pinto Sultan Qaboos University Journal for Science 30
37. Calogero–Moser spaces and the invariants of two matrices of degree 3 Zafar Normatov, Rustam Turdibaev Transformation Groups
38. On the coordinate ring of the invariant anti-commuting variety Rustam Turdibaev Linear and Multilinear Algebra

Preprints

1. Enhancement of quantum semi-supervised learning via improved Laplacian and Poisson methods H. Gholipour, Farid Bozorgnia, H. Mohammadigheymasi, K. Hambarde, J. Mancilla, H. Proença, J. Neves, M. Challenger arXiv:2508.02054
2. Fractional heat kernel for semi-supervised graph learning with small training sample size Farid Bozorgnia, V. Kungurtsev, S. Kadyrov, M. Yousefnezhad arXiv:2510.04440
3. Gamma convergence of partially segregated elliptic systems Farid Bozorgnia, A. Arakelyan arXiv:2510.03794
4. Deformation and quantization of the Loday–Quillen–Tsygan isomorphism for Calabi–Yau categories Xiaojun Chen, Farkhod Eshmatov, Maozhou Huang arXiv:2505.09378
5. Boundary estimates for the Monge–Ampère equation in polygons with Guillemin boundary conditions M. Bayrami-Aminlouee, Reza Seyyedali, M. Talebi arXiv:2506.22187
6. Fuglede theorem for symmetric spaces of τ-measurable operators D. Potapov, F. Sukochev, Anna Tomskova, D. Zanin arXiv:2512.14006
7. Gauge theory on T*CP²: explicit Sp(2)-instantons, HYM connections, and Spin(7)-instantons Emily Windes arXiv:2508.17119

Surveys

Survey articles and expository writing by members of the department and by our students.

Teaching Resources

Open textbooks, software and course material written by members of the department and free for anyone to use.

Student Work

Bachelor’s, master’s and PhD theses written in the department, together with student research papers and project reports.