• משוואות דיפ' רגילות  |  90914 לסילבוס הקורס
• משוואות דיפ' חלקיות  |  90915 לסילבוס הקורס
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מחקר

עבודות המחקר של ד"ר בן-סימון מתמקדות בשני תחומים עיקריים: גאומטריה סימפלקטית ותורת החבורות הגאומטרית

1. G. Ben-Simon, M. Burger, T. Hartnick, A. Iozzi, and A. Wienhard, On weakly maximal representations of surface groups, Journal of Differential Geometry 105 (2017), no. 3, 375–404. DOI: https://doi.org/10.4310/jdg/1488503002
2. G. Ben-Simon, M. Burger, T. Hartnick, A. Iozzi, and A. Wienhard, On order-preserving representations, Journal of the London Mathematical Society 94 (2016), no. 2, 525–544. DOI: https://doi.org/10.1112/jlms/jdw048
3. G. Ben-Simon, Quasi-morphisms via local action data and quasi-isometries, Algebra Colloquium 23 (2016), no. 1, 111–116. DOI: https://doi.org/10.1142/S1005386716000146
4. G. Ben-Simon and T. Hartnick, Quasi-total actions and translation numbers, Groups, Geometry, and Dynamics 9 (2015), no. 2, 479–530. DOI: https://doi.org/10.4171/ggd/319
5. G. Ben-Simon and T. Hartnick, Reconstructing quasimorphisms from associated partial orders and a question of Polterovich, Commentarii Mathematici Helvetici 87 (2012), no. 3, 705–725. DOI: https://doi.org/10.4171/cmh/266
6. G. Ben-Simon and T. Hartnick, Invariant orders on Hermitian Lie groups, Journal of Lie Theory 22 (2012), no. 2, 437–463. DOI: https://doi.org/10.5802/jolt.674
7. G. Ben-Simon and D. A. Salamon, Homogeneous quasimorphisms on the symplectic linear group, Israel Journal of Mathematics 175 (2010), no. 1, 221–224. DOI: https://doi.org/10.1007/s11856-010-0010-4
8. G. Ben-Simon, The geometry of partial order on contact transformations in prequantization manifolds, in Arithmetic and Geometry Around Quantization, Progress in Mathematics, Birkhäuser Boston, 2010. DOI: https://doi.org/10.1007/978-0-8176-4831-2
9. G. Ben-Simon, The nonlinear Maslov index and the Calabi homomorphism, Communications in Contemporary Mathematics 9 (2007), no. 6, 769–780. DOI: https://doi.org/10.1142/S0219199707002630
   
   

Preprints

1. G. Ben-Simon, Analytic properties of self-reproducing families under contour convolution, arXiv preprint (2026), arXiv:2610.19197.
2. G. Ben-Simon, Cauchy-type convolution integrals as the starting point for a first encounter with complex analysis, arXiv preprint (2026), arXiv:2610.05612.
3. G. Ben-Simon, Exactness as an explanatory and computational target: A reduction architecture for first-order ODEs, with a higher-order outlook, Preprint (2026).
4. G. Ben-Simon, A family of quasimorphisms constructions, Preprint (2011).
   
   

Books in Preparation

1. G. Ben-Simon, Fourier Analysis Through Three Combined Perspectives for Applied Sciences (tentative title), book in preparation.