Ya'acov Peterzil -- various publications

    Updated July 2024

    Selected talks

    1. ``Tarski Lectures'', Berkeley, April 2024 (w. Sergei Starchenko) Talk 1., Talk 2, Talk 3.
    2. ``Interpretable groups and fields in various valued fields'' , a 3 parts tutorial, Cetraro 2022.
    3. ``The images of definable sets in the torus and their associated Hausdorff limits'', Fields Institute, 2021, in honor or Hrushovski's 60's birthday.
    4. ``Strongly minimal groups in o-minimal structures'', Workshop 3, Institut henri Poincare, Paris 2018.
    5. ``Complex geometry in tame model theoretic settings: definability, analyticity and algebraicity'', Riemann conference, Munster 2016.
    6. ``Topological closure of algebraic and o-minimal flows in com,plex tori'', Model Theory and applications to geometry, Padova 2017.
    7. ``O-minimal structures - basics and some applications'', Tutorial for 11th Panhellenic Logic Sympsoium, Delphi 2017.
    8. ``The real shadow of a definably compact homogenuous space'' The 2016 Model Theory meeting at U. Notre Dame.
    9. ``Topological groups and stabilizers of types'' Logic Colloquium 2015, Helsinki (pdf). A video of the talk.
    10. ``O-minimality and Arithmetic, the Pila-Zannier method'' MSRi workshop: Model Theory, Arithmetic, geometry and number theory, February 2014, MSRI berkeley, (pdf). A video of the two talks.
    11. ``Locally definable groups and lattices'' (Ravello Model Theory meeting, June 2013), (pdf)
    12. ``Do o-minimal theories eliminate imaginaries?'' A video of a talk at the Banff International research center, February 2012.
    13. ``Definable quotients of locally definable groups'' (June 2011, (pdf)
    14. With S. Starchenko, ``Tame complex analysis and o-minimality'' (slides for a talk given at the logic session of ICM 2010 at Hyderabad) (pdf)
    15. ``The infinitesimal subgroup of a definably compact group'' (slides for a tutorial given in the Wroclaw Logic Colloquium, July 2007) (ps)
    16. A self-guide to o-minimality (notes for a tutorial given in the Camerino Summer School, June 2007) (pdf)
    17. With S. Starchenko ``Complex analytic geometry, an o-minimal viewpoint'' (slides for a tutorial in Oberwolfach Mathamtical Institute, July 2004), Part I (ps), Part II (ps) , Part III (ps), References (ps)
    18. ``Definable groups in o-minimal structures'' (The Evelyn Nelson lecture given at McMaster University, November 2003) (ps).

    Publications

      Authors are originally listed in alphabetical order.

      Preprints

    1. with Sergei Starchenko ``Limits of definable families and dilations in nilmanifolds''.
    2. with Anand Pillay and Francoise Point ``On definable groups and D-groups in certain fields with a generic derivation'' (to appear in Canadian Math. J.
    3. with Anand Pillay and Francoise Point ``On definable groups in real closed fields with a generic derivation, and related structures''.
    4. with Y. Halevi and A. Hasson ``Definably semisimple groups interpretable in p-adically closed fields''.
    5. with Y. Halevi and A. Hasson ``On groups interpretable in various valued fields'' (to appear in Selecta). .
    6. ``An o-minimalist view of the group configuration''.
    7. with P. Eleftheriou ``Correction to: Definable groups as homomorphic images of semi-linear and field-definable groups'', (pdf).
    8. With S. Strachenko, ``Correction to ``Expansions of algebraically closed fields in o-minimal structures'', Selecta Math. NS 7 (2001) 409-445'' (pdf).
    9. With S. Starchenko, ``Around Pila-Zanneir: the semiabelian case'', infromal notes from February 2009 (pdf).

    10. ``Analytic-like functions in o-minimal structures'' (an unpublished paper from 1993) (pdf).

      Published

    11. with A Chernikov and S. Starchenko, ``Model theoretic Elekes-Szabo for stable and o-minimal hypergraphs''. Duke Math. J. 173(3): 419-512 (15 February 2024).
    12. with H. Abu Saleh, ``Additive reducts of real closed fields and strongly bounded structures'' Model Theory 2(2):381-404, October 2023.
    13. with Y. Halevi and A. Hasson, ``Intepretable fields in various valued fields'',Advances in Mathematics Volume 404, Part A, 6 August 2022.
    14. with S. Starchenko ``O-minimal flows on nilmanifolds'', Duke Math. J. 170 (18) (2021) 3935-3976.
    15. with P. Eleftheriou and A. Hasson `Strongly minimal groups in o-minimal structures'', JEMS 23 (2021), no. 10, 3351–3418.
    16. with M. Bays ``Definability in the group of infinitesimals of a compact Lie group'', Confluentes Mathematici, Volume 11 (2019) no. 2, 3-23.
    17. with E. Baro and P. Eleftheriou ``Locally definable subgroups of semialgebraic groups'', J. of Math. Logic, vol 20 (02) (August 2020) .
    18. with A. Rosel ``Definable one dimensional topologies in o-minimal structures'', AFML 59, 103-–125(2020).
    19. with E. Bar-Yehuda and A. Hasson ``A theory of pairs for nonvaluational structures'', Journal Sym. Logic, vol 84 (2), June 2019, 664-683 (pdf).
    20. with S. Starchenko ``Algebraic and o-minimal flows on complex and real tori'', Advances in Mathematics, vol 333, 31 July 2018, 539-569 (pdf).
    21. with S. Starchenko ``A note on o-minimal flows and the Ax Lindemann Weierstrass Theorem for abelian varieteis over the complex numbers'', L'Enseignement Mathematique (2) 63 (2017) 251-261. (pdf).
    22. With S. Starchenko ``Topological groups, μ-types and their stabilizers'', Journal of European Math. Society, vol 19, 10, 2017, 2965-2995 (pdf).
    23. With S. Kamenkovich ``Euler characterstic of imaginaries in o-minimal structures'', Mathematical Logic Quarterly, 63, No. 5, 376-383 (2017) (pdf).
    24. With P. Eleftheriou and J. Ramakrishnan ``Interpretable groups are definable'', J. of Mathematical Logic,14 no. 1, 1450002 (2014) 47 pp. (pdf).
    25. With S. Starchenko,``Definability of restricted theta functions and families of abelian varieities'', Duke Math. J. 162 (2013), no. 4, 731.765. (pdf).
    26. With P. Eleftheriou ``Lattices in locally definable subgroups of R^n'',Notre Dame J. Form. Log. 54 (2013), no. 3-4, 449.461 (pdf).
    27. With P. Eleftheriou, ``Definable quotients of locally definable groups'', Selecta Math. NS (2012) 18, pp. 885-903 (pdf).
    28. With P. Eleftheriou ``Definable groups as homomorphic images of semi-linear and field-definable groups'', Selecta Math. NS (2012) 18, pp. 905-940 (pdf).
    29. With A. Berarducci and A. Pillay, ``Group covers, o-minimality and categoricity'', Confluentes Mathematici, v. 2, No. 4 (2010) pp. 473-496 (pdf).
    30. With E. Hrushovski and A. Pillay ``On central extensions and definably compact groups in o-minimal structures'', J. Alg. 327 (2011), pp. 71--106 (pdf).
    31. ``Pillay's conjecture and its solution-a survey'', Logic colloq. 2007, Ed: F. Delon, U. Kohlenbach, P. Maddy and F. Stephan, pp. 177-203. (pdf).
    32. With A. Hasson and A. Onshuus ``Definable structures in o-minimal theories'', Israel J. Math. 179 (2010), 297-361 (pdf).
    33. With A. Hasson and A. Onshuus ``Definable structures in o-minimal theories: one dimensional types'" Israel J. Math 179 (2010), 363-379 (pdf).
    34. With S. Starchenko, ``Tame complex analysis and o-minimality'', (for the proceedings of the ICM, Hyderabad 2010) (pdf).
    35. ``Returning to semibounded sets'', J. Symb. Logic 74, 2 (2009), 597-617. (pdf).

    36. With S. Starchenko ``Complex analytic geometry and analytic-geometric categories'' J. reine angew. Math. 626 (2009) pp 39-.74.) (pdf)).

    37. With M. Otero ``G-linear sets and torsion points in definably compact groups'', Arch. for Math. Logic 48 (2009) 387-402 (pdf).
    38. With S. Starchenko ``Mild manifold and a non-standard Riemann existence theorem'' Selecta Math., NS 14 (2009) 275-298.(pdf).

    39. With S. Starchenko ``Complex analytic geometry in nonstandard setting'' in Model Theory with Applications to Algebra and Analysis, ed. Z. Chatzidakis, D. Macpherson, A. Pillay and A. Wilkie, 117-166 (pdf).

    40. With E. Hrushovski and A. Pillay ``Groups, measure and the NIP'', J. AMS vol 21, 2, (2008), 563-596 (pdf).

    41. With E. Hrushovski ``A question of van den Dries and a theorem of Lipshitz and Robinson; not everything is standard'', J. Symbolic Logic vol 72, 1, (2007) 119-122 (pdf).

    42. With A. Onshuus ``A note on stable sets, groups, and theories with NIP'' Math. Log. Q. 53(3) (2007) 295-300 (pdf).
    43. With S. Starchenko ``Computing o-minimal topological invariants using differential topology'', Transactions of the AMS, 359 (2007) pp. 1375-1401.
    44. With A. Pillay ``Generic sets in definably compact groups'' Fundamenta MAthematicae, 193 (2007), pp. 153-170.
    45. With S. Starchenko ``"Complex-like" analysis in o-minimal structures'', Proceedings of the RAAG Summer School Lisbon 2003, pp. 77-102.
    46. With S. Starchenko ``On torsion free groups in o-minimal structures'', Illinnois Journal of Mathematics, 49(4) (2005) pp. 1299-1321.
    47. With Alon Altman and Yoad Winter ``Scope Dominance with Upward Monotone Quantifiers'', Journal of Logic, Language and Information 14(4) (2005) pp. 445-455.
    48. With A. Berarducci, M. Otero and A. Pillay ``A descending chain condition for groups definable in o-minimal structures'', Annals of Pure and Applied Logic 134 (2005) pp. 303-313.
    49. ``Some topological and differentiable invariants in o-minimal structures, a survey of the solution to the torsion point problem'' in Model Theory ans Applications, ed. Belair, Chatzidakis, D"Aquino, Marker, Otero, Point and Wilkie, quaderni di matematica vol. 11.
    50. With S. Starchenko ``Uniform definability of the Weierstrass P functions and generalized tori of dimension one'', Selecta Mathematica, New Series, 10 (2004) pp. 525-550.
    51. With S. Starchenko ``Expansions of algebraically closed fields II, functions of several variables'', Journal of Mathematical Logic, Vol 3, No1 (2003) pp. 1-35.
    52. With Z. Chatzidakis and E. Hrushovski ``Model theory of difference fields II. Periodic ideals and the trichotomy in all characteristics'', Proceedings of the London Mathematical Society (3) 85 (2002), pp. 257-311.
    53. With A. Pillay and S. Starchenko ``Linear groups definable in o-minimal structures'', Journal of Algebra 247 (2002), pp. 1-23.
    54. With L.M. Grana Drummond ``The central path in smooth convex semidefinite programs'', Optimization, 51(2) (2002), pp. 207-233.
    55. With S. Starchenko ``Expansions of algebraically closed fields in o-minimal structures'', Selecta Math. (N.S.) 7 (2001) pp. 409-445.
    56. With O. Belegradek and F. Wagner, ``Quasi-o-minimal structures'', J. Symbolic Logic 65 (2000) no. 3, pp. 1115-1132.
    57. With P. Speissegger and S. Starchenko, ``Adding multiplication to an o-minimal expansion of the additive real numbers'', Logic Colloquium '98: proceedings of the Annual European ummer meeting of the ASL, held in Prague, Czech Republic, 1998, Samuel Bass, Peter Hajek and Pavel Pudlak (Eds.) pp. 357-362.
    58. With A. Pillay and S. Starchenko, ``Simple algebraic and semialgebraic groups over real closed fields'', Trans. Amer. Math. Soc. 352 (2000) no 10, pp. 4421-4450.
    59. With A. Pillay and S. Starchenko, ``Definably simple groups in o-minimal structures'', Trans. Amer. Math. Soc, 352, (2000) no 10, pp. 4397-4419.
    60. With A. Pillay and S. Starchenko, ``Simple groups definable in o-minimal structures'', Logic Colloquium 96': proceedings of the colloquium held in San Sebastian, Spain, July 9-15, 1996 J.M. Larrazabal, D. Lascar and G. Mints (Eds.) pp. 211-219.
    61. With S. Starchenko, `` Definable homomorphisms of abelian groups in o-minimal structures'', Ann. Pure Appl. Logic 101 (2000), pp. 1-27.
    62. With C. Steinhorn, ``Definable compactness and definable subgroups of o-minimal groups'', J. London Math. Soc. (2) 59 (1999), no 3, pp. 769-786.
    63. With S. Starchenko, ``A trichotomy theorem for o-minimal structures'', Proc. London Math. Soc. (3) 77 (1998), pp. 481-523.
    64. With S. Starchenko, ``Geometry, calculus and Zil'ber's conjecture'', Bull. Symbolic Logic, vol 2, (1996) pp. 72-83.
    65. With M. Otero and A. Pillay, `` On groups and rings definable in o-minimal expansions of real closed fields'', Bull. London Math. Soc. 28, (1996) pp 7-14.
    66. `` Constructing a group-interval in o-minimal structures'', J. Pure Appl. Algebra, (1994) pp. 85-100.
    67. `` Reducts of some structures over the reals'', J. Symbolic Logic, 58, (1993) pp. 955-966.
    68. `` Zilber's conjecture for some o-minimal structures over the reals'', Ann. Pure Appl. Logic, 61 (1993) pp. 223-239.
    69. With J. Loveys, `` Linear o-minimal structures'', Israel J. Math. 81 (1993) pp. 1-30.
    70. ``A structure theorem for semibounded sets in the reals '', J. Symbolic Logic, 57 (1992) pp. 779-794.
    71. With D. Marker and A. Pillay, `` Additive reducts of real closed fields'', J. Symbolic Logic, 57 (1992) pp. 109-117.

    Other material

  1. A radio interview, 4.5.2016, about Mathematics and Mathematicians (Hebrew).
  2. With Meron Rapoport, about the so-called "Hannibal procedure" practiced by the IDF, December 8, 2009 (Hebrew).
  3. (Hebrew), NEGED HATERROR, historic collection of articles against Jewish terrorism in Palestine, ed. R. Binyamin and Y. Peterzeil, 1939.
  4. About the killing of civilians during the Gaza war, February 5th, 2009 (Hebrew).
  5. (English translation): "Disconnected", about the unrecognized village Dar Elhanoun, Nov 2, 2007.