2023.06 Physics over a finite field and Wick rotation(pdf) June 2023

2023.04 An $L_{\omega_1,\omega}-topological invariant(pdf) February 2024, arxiv

2022.04 Non-elementary categoricity and projective o-minimal classes(pdf) December 2024, Model Theory 3:1 (2024), 101 - 117

2021.04/2 ** (with C.Daw) Modular curves and their pseudo-analytic cover(pdf) April 2021, revised October 2022 **

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2021.04 (with C.Daw) Canonical models of modular curves and Galois action on CM-points (pdf) April 2021, revised October 2022 **

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2021.03 (with A. Cruz Morales and A.Velaveces) Around Logical Perfection (pdf) Theoria, 2021 **

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2020.12 (with R.Abdolahzadi) A model theory section conjecture (pdf) December, 2020 **

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2020.11 Sections and Towers (pdf) November, 2020 **

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2019.05 (with R.Abdolahzadi) Definablity, interpretations and etale fundamental groups (pdf) May, 2019 **

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2017.12 Structural approximation and quadratic quantum mechanics (pdf) December 2017 **

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2016.03 The semantics of the canonical commutation relations (pdf) March 2016 (replacing 2014.08); http://arxiv.org/abs/1604.07745 **

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2016.01 Analytic Zariski structures and
non-elementary categoricity (pdf) In Beyond First Order Model Theory, Ed. J.Iovino, Taylor and Francis, 2017, 299-324; arxiv 1601.02961**

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2015.11 (with L.Shaheen) On algebras and their spectra. The case of rings of integers. (Replacing
Model theory and geometry of representations of rings of integers) April 2018 **

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2015.01 (with J.A.Cruz Morales)
**

2014.01 ** (with J.-D. Caycedo Casallas)**

2013.08 Model theory of special subvarieties and Schanuel-type conjectures (pdf) Annals of Pure and Applied Logic, Volume 167, Issue 10, October 2016, Pages 1000-–1028; http://arxiv.org/abs/1501.03301

2012.10 ** (with K.Tent)** A non-desarguesian projective plane October 2012; arXiv:1510.06176

2011.08 ** (with J.Kirby) **

2011.12.1 The theory of exponential sums (pdf) December 2011. Replacing "Raising to powers revisited" - 2004.08;.http://arxiv.org/abs/1501.03297

2011.12 Perfect infinities and finite approximation(pdf) In: Infinity and Truth. IMS Lecture Notes Series, V.25, 2014

2010.12 A curve and its abstract Jacobian (pdf) International Mathematical Research Notices, 2012. With a correction in Th 1.3, May 2017 (thanks to Yu. Tschinkel)

2010.01 On model theory, non-commutative geometry and physics(pdf) Draft, January 2010

2009.10 Structural approximation(pdf) Draft, September 2009

2009.9 The noncommutative torus and Dirac calculus(pdf) Draft, October 2010

2008.09 **(with T.Kotek and J.Makowsky; extension of 2006.12) **

2008.07 Analytic Zariski structures, predimensions and non-elementary stability(pdf) July 2008

2008.06 **(with V.Solanki) ** The Quantum Harmonic Oscillator as a Zariski Geometry(pdf) September 2009; Incorporated in ''Quantum Harmonic Oscillator as Zariski Geometry'' (joint with D.Sustretov and V.Solanki), APAL, 165, Issue 6, June 2014, 1149-1168

2007.04 Non-commutative Zariski geometries and their classical limit(dvi)(pdf) Confluentes Mathematici, v.2,issue 2 , 2010, pp. 265-291

2006.12 **(with
J.Makowsky)**Polynomial invariants of graphs and totally categorical theories
November 2006

2006.11 A class of quantum Zariski geometries(pdf)
(dvi) In: **Model Theory with applications to algebra and analysis, I and II** (Z.
Chatzidakis, H.D. Macpherson, A. Pillay, A.J. Wilkie editors), Cambridge
University Press, Cambridge. 2008

2006.11 **(with
O.Belegradek)**
The model theory of the field of reals with a subgroup
of the unit circle
J. London Math. Soc. (2) 78 (2008) 563–579
(and Newton Institute preprint server, February 2006)

2005.09 Non-commutative geometry and new stable structures (dvi)(pdf) September, 2005.

2004.10 **( with J.Kirby) ** The uniform Schanuel conjecture over the
real numbers. October 2004. Bulletin of LMS

2004.09 1991 example by Hrushovski in the light of non-commutative geometry. A case study. (dvi)(ps) New version. September, 2004.

2004.02 Covers of Multiplicative Groups of Algebraically Closed Fields, arXive math.AC/0401301

2004.01 **(with N.Peatfield)** Analytic Zariski structures and the Hrushovski construction
Annals of Pure and Applied Logic, Vol 132/2-3 pp 127-180

2003.08 A remarkable pseudo-analytic structure (dvi)(ps) August, 2003.

2003.07 Complex roots of unity on the real plane (pdf) April - July 2003.

2003.06 Bi-coloured fields on the complex numbers (dvi)(ps) JSL, v.69(4), pp.1171-1186

2003.04 Pseudo-exponentiation on algebraically closed fields of characteristic zero Annals of Pure and Applied Logic, Vol 132 (2004) 1, pp 67-95

2003.03 Model theory, geometry and arithmetic of the universal cover of a semi-abelian variety (dvi) (pdf) In Model Theory and Applications, ed. L.Belair and el. ( Proc. of Conf. in Ravello 2000) Quaderni di Matematica, v.11, Series edited by Seconda Universita di Napoli, Caserta, 2002 (with later corrections)

2002.10 A categoricity theorem for quasi-minimal excellent classes. (dvi) (ps) In: Logic and its Applications eds. Blass and Zhang, Cont.Maths, v.380, 2005, pp.297-306

2002.04 A theory of a generic function with derivations(dvi)
** Logic and Algebra (ed. Yi Zhang), pp. 85--100,
Contemporary Mathematics, Vol 302, AMS, 2002**

2002.03 Covers of the multiplicative group of an algebraically closed field of characteristic zero. (dvi) (ps) J. London Math. Soc. (2), 74(1):41--58, 2006 (see the joint paper 2007.03 with M.Bays below for corrections and extensions)

2002.01 Raising to powers in algebraically closed
fields(pdf) **Journal of Mathematical Logic, v.3, no.2, 2003, 217-238**

2001.04 Analytic and pseudo-analytic structures (pdf) ** Lecture Notes in Logic, 19.
Logic Colloquium 2000, Paris; Rene Cori, Alexander Razborov, Stevo Todorcevic, Carol Wood, editors, 2005; 392–408 **

2001.01 On systems of exponential sums with real
exponents(pdf) Incorporated
into 'Exponential sums equations and the Schanuel conjecture', **
J. London Math. Soc. (2) 65 (2002)**

2000.03 Intersecting varieties with tori(pdf) Incorporated
into 'Exponential sums equations and the Schanuel conjecture', **
J. London Math. Soc. (2) 65 (2002)** With December 2001 corrections.

1999.10 Fields with pseudo-exponentiation(dvi) ** e-archive math.LO/0012023**

1997.04 Generalized analytic sets(dvi) Translation
from ** Algebra i Logika,** Novosibirsk,
v.36, N 4 (1997), 361 - 380

1993.01 Quasi-Riemann surfaces In: ** Logic: from
Foundations to Applications. European Logic Colloquium 1993.** Eds
W.Hodges, M.Hyland, Ch.Steinhorn, 1996

1993.04 Model Theory and Algebraic Geometry
In: ** Seminarberichte Nr 93-1, Proc.10th easter Conf.in Model Theory, April 12-17,1993, pp.202-222,
Humboldt Universitat zu Berlin, 1993 **

**
1992.01 Algebraic geometry via model theory(pdf) In:
Cont.Maths. v.131(part 3), 1992, pp.523-537**

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1990.01 A note on the model theory of the complex field
with roots of unity (dvi) Unpublished paper of 1990**

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1988.01 Finite homogeneous geometries (pdf) In: 6th Easter Conference in Model Theory Humboldt University, Berin, 1988, Eds. B.Dahn and H.Wolter**

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1984.01 Some model theory of simple algebraic groups (pdf) Coll.Math. v.48 (1984), 2, pp.173-180 **

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