אודות
Mathematical logic, model theory, O-minimality, Connections between model theory and algebraic or topological structures, such as algebraically-closed fields, real-closed fields, Lie groups etc.
פרסומים
- Semisimple groups interpretable in various valued fields, Halevi, Y., Hasson, A. & Peterzil, Y., 1 Aug 2025, In: Forum of Mathematics, Sigma. 13, e127.
- On definable groups and D-groups in certain fields with a generic derivation, Peterzil, Y., Pillay, A. & Point, F., 1 Apr 2025, In: Canadian Journal of Mathematics. 77, 2, p. 459-480 22 p.
- Correction to: On groups interpretable in various valued fields (Selecta Mathematica, (2024), 30, 4, (59), 10.1007/s00029-024-00946-2), Halevi, Y., Hasson, A. & Peterzil, Y., Nov 2024, In: Selecta Mathematica, New Series. 30, 5, 96.
- On groups interpretable in various valued fields, Halevi, Y., Hasson, A. & Peterzil, Y., Sep 2024, In: Selecta Mathematica, New Series. 30, 4, 59.
- MODEL-THEORETIC ELEKES–SZABÓ FOR STABLE AND O-MINIMAL HYPERGRAPHS, Chernikov, A., Peterzil, Y. & Starchenko, S., 15 Feb 2024, In: Duke Mathematical Journal. 173, 3, p. 419-512 94 p.
- Additive reducts of real closed fields and strongly bounded structures, Saleh, H. A. & Peterzil, Y., 2023, In: Model Theory. 2, 2, p. 381-404 24 p.
- O-MINIMAL FLOWS on NILMANIFOLDS, Peterzil, Y. & Starchenko, S., 1 Dec 2022, In: Duke Mathematical Journal. 170, 18, p. 3935-3976 42 p.
- Interpretable fields in various valued fields, Halevi, Y., Hasson, A. & Peterzil, Y., 6 Aug 2022, In: Advances in Mathematics. 404, 108408.
- Locally definable subgroups of semialgebraic groups, Baro, E., Eleftheriou, P. E. & Peterzil, Y., 1 Aug 2020, In: Journal of Mathematical Logic. 20, 2, 2050009.
- A THEORY of PAIRS for NON-VALUATIONAL STRUCTURES, Bar-Yehuda, E., Hasson, A. & Peterzil, Y., 1 Jun 2019, In: Journal of Symbolic Logic. 84, 2, p. 664-683 20 p.
- Definability in the group of infinitesimals of a compact lie group, Bays, M. & Peterzil, Y., 2019, In: Confluentes Mathematici. 11, 2, p. 3-23 21 p.
- Algebraic and o-minimal flows on complex and real tori, Peterzil, Y. & Starchenko, S., 31 Jul 2018, In: Advances in Mathematics. 333, p. 539-569 31 p.
- Strongly minimal groups in o-minimal structures, Eleftheriou, P. E., Hasson, A. & Peterzil, K., 2018, In: Journal of the European Mathematical Society. p. 3351–3418
- Euler characteristic of imaginaries in o-minimal structures, Kamenkovich, S. & Peterzil, Y., Dec 2017, In: Mathematical Logic Quarterly. 63, 5, p. 376-383 8 p.
- A note on o-minimal flows and the Ax Lindemann Weierstrass Theorem for abelian varieteis over the complex numbers, Peterzil, K. & Starchenko, S., 2017, In: L'Enseignement Mathematique. 36, 2, p. 251-261
- Topological groups, μ-types and their stabilizers, Peterzil, Y. & Starchenko, S., 2017, In: Journal of the European Mathematical Society. 19, 10, p. 2965-2995 31 p.
- Definability of restricted theta functions and families of abelian varieties, Peterzil, Y. & Starchenko, S., Mar 2013, In: Duke Mathematical Journal. 162, 4, p. 731-765 35 p.
- Lattices in locally definable subgroups of hRn; Ci, Eleftheriou, P. E. & Peterzil, Y., 2013, In: Notre Dame Journal of Formal Logic. 54, 3-4, p. 449-461 13 p.
- Definable groups as homomorphic images of semi-linear and field-definable groups, Eleftheriou, P. E. & Peterzil, Y., Dec 2012, In: Selecta Mathematica, New Series. 18, 4, p. 905-940 36 p.
- On central extensions and definably compact groups in o-minimal structures, Hrushovski, E., Peterzil, Y. & Pillay, A., 1 Feb 2011, In: Journal of Algebra. 327, 1, p. 71-106 36 p.
- Pillay's conjecture and its solution-a survey, Peterzil, K., 2010, Logic Colloquium 2007. F. D., U. K., P. M. & F. S. (eds.). Cambridge University Press, p. 177-203
- Group covers, o-minimality and categoricity, Peterzil, K., Berarducci, A. & Pillay, A., 2010, In: Confluentes Mathematici. 2, 4, p. 473-496
- Tame complex analysis and o-minimality, Peterzil, Y. & Starchenko, S., 2010, Proceedings of the International Congress of Mathematicians 2010, ICM 2010. p. 58-81 24 p. (Proceedings of the International Congress of Mathematicians 2010, ICM 2010).
- Definable structures in o-minimal theories: One dimensional types, Hasson, A., Onshuus, A. & Peterzil, Y., 2010, In: Israel Journal of Mathematics. 179, 1, p. 363-379 17 p.
- G-linear sets and torsion points in definably compact groups, Otero, M. & Peterzil, Y., Jun 2009, In: Archive for Mathematical Logic. 48, 5, p. 387-402 16 p.
- Returning to semi-bounded sets, Peterzil, Y., Jun 2009, In: Journal of Symbolic Logic. 74, 2, p. 597-617 21 p.
- Complex analytic geometry and analytic-geometric categories, Peterzil, Y. & Starchenko, S., Jan 2009, In: Journal fur die Reine und Angewandte Mathematik. 626, p. 39-74 36 p.
- Mild manifolds and a non-standard Riemann existence theorem, Peterzil, Y. & Starchenko, S., Jan 2009, In: Selecta Mathematica, New Series. 14, 2, p. 275-298 24 p.
- Groups, measures, and the nip, Hrushovski, E., Peterzil, Y. & Pillay, A., Apr 2008, In: Journal of the American Mathematical Society. 21, 2, p. 563-596 34 p.
- Complex analytic geometry in nonstandard setting, Peterzil, K. & Starchenko, S., 2008, Model Theory with Applications to Algebra and Analysis. Z. C., D. M., A. P. & A. W. (eds.). p. 117-166
- A question of Van Den Dries and a theorem of Lipshitz and Robinson; Not everything is standard, Hrushovski, E. & Peterzil, Y., Mar 2007, In: Journal of Symbolic Logic. 72, 1, p. 119-122 4 p.
- A note on stable sets, groups, and theories with NIP, Onshuus, A. & Peterzil, Y., 2007, In: Mathematical Logic Quarterly. 53, 3, p. 295-300 6 p.
- Scope dominance with upward monotone quantifiers, Altman, A., Peterzil, Y. & Winter, Y., Oct 2005, In: Journal of Logic, Language and Information. 14, 4, p. 445-455 11 p.
- A descending chain condition for groups definable in o-minimal structures, Berarducci, A., Otero, M., Peterzil, Y. & Pillay, A., Jul 2005, In: Annals of Pure and Applied Logic. 134, 2-3, p. 303-313 11 p.
- On torsion-free groups in o-minimal structures, Peterzil, Y. & Starchenko, S., 2005, In: Illinois Journal of Mathematics. 49, 4, p. 1299-1321 23 p.
- Expansions of algebraically closed fields II, functions of several variables, Peterzil, K. & Starchenko, S., 2003, In: Journal of Mathematical Logic. 3, 1, p. 1-35
- "Complex-like" analysis in o-minimal structures, Peterzil, K. & Starchenko, S., 2003, Proceedings of the RAAG Summer School Lisbon. p. 77-102
- The central path in smooth convex semidefinite programs, Graña Drummond, L. M. & Peterzil, Y., Apr 2002, In: Optimization. 51, 2, p. 207-233 27 p.
- Expansions of algebraically closed fields in o-minimal structures, Peterzil, Y. & Starchenko, S., 2001, In: Selecta Mathematica, New Series. 7, 3, p. 409-445 37 p.
- Quasi-o-minimal structures, Belegradek, O., Peterzil, Y. & Wagner, F., Sep 2000, In: Journal of Symbolic Logic. 65, 3, p. 1115-1132 18 p.
- Adding multiplication to an o-minimal expansion of the additive real numbers, Peterzil, K., Speissegger, P. & Starchenko, S., 2000, Logic Colloquium '98: proceedings of the Annual European ummer meeting of the ASL. A. R. B., P. H. & P. P. (eds.). p. 357 - 362
- Definable homomorphisms of abelian groups in o-minimal structures, Peterzil, Y. & Starchenko, S., 15 Nov 1999, In: Annals of Pure and Applied Logic. 101, 1, p. 1-27 27 p.
- Definable compactness and definable subgroups of o-minimal groups, Peterzil, Y. & Steinhorn, C., Jun 1999, In: Journal of the London Mathematical Society. 59, 3, p. 769-786 18 p.
- A trichotomy theorem for o-minimal structures, Peterzil, Y. & Starchenko, S., Nov 1998, In: Proceedings of the London Mathematical Society. 77, 3, p. 481-523 43 p.
- On groups and rings definable in o-minimal expansions of real closed fields, Otero, M., Peterzil, Y. & Pillay, A., Jan 1996, In: Bulletin of the London Mathematical Society. 28, 1, p. 7-14 8 p.
- Constructing a group-interval in o-minimal structures, Peterzil, Y., 3 Jun 1994, In: Journal of Pure and Applied Algebra. 94, 1, p. 85-100 16 p.
- Linear O-minimal structures, Loveys, J. & Peterzil, Y., Feb 1993, In: Israel Journal of Mathematics. 81, 1-2, p. 1-30 30 p.
- Reducts of some structures over the reals, Peterzil, K., 1993, In: Journal of Philosophical Logic. 58, 3, p. 955-966 12 p.
- Additive reducts of real closed fields, Faraggi, D., Pillay, A. & Peterzil, K., 1992, In: Journal of Philosophical Logic. 57, 1, p. 109-117
- A structure theorem for semibounded sets in the reals, Peterzil, K., 1992, In: Journal of Symbolic Logic. 57, 3, p. 779-794