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

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

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

2016.01 Analytic Zariski structures and non-elementary categoricity (pdf) January 2016 (extension of 2008.07); arxiv 1601.02961

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

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

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**

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with roots of unity (dvi) Unpublished paper of 1990**

**
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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