Boris Zilber

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the logical structure of physics	2024	Boris Zilber
+ PDF Chat	Nonelementary categoricity and projective locally o-minimal classes	2024	Boris Zilber
+	On the Theory of Specialisations of Regular Covers of Zariski Structures	2023	Ugur Efem Boris Zilber
+	A topological $L_{ω_1,ω}$-invariant	2023	Boris Zilber
+	Physics over a finite field and Wick rotation	2023	Boris Zilber
+	Non-elementary categoricity and projective locally o-minimal classes	2022	Boris Zilber
+	Modular curves and their pseudo-analytic cover	2021	Boris Zilber Christopher Daw
+	Canonical models of modular curves and the Galois action on CM-points	2021	Boris Zilber Christopher Daw
+	Section and towers	2021	Boris Zilber
+	A model theory section conjecture	2021	Romin Abdolahzadi Boris Zilber
+ PDF Chat	Around Logical Perfection	2021	John A. Cruz Morales Andrés Villaveces Boris Zilber
+	Modular curves and their pseudo-analytic cover	2021	Boris Zilber Christopher Daw
+	A model theory section conjecture	2021	Romin Abdolahzadi Boris Zilber
+	Canonical models of modular curves and the Galois action on CM-points	2021	Boris Zilber Christopher Daw
+	Section and towers	2021	Boris Zilber
+	Definability, interpretations and \'etale fundamental groups.	2019	Romin Abdolahzadi Boris Zilber
+	Definability, interpretations and étale fundamental groups	2019	Romin Abdolahzadi Boris Zilber
+	Logical perfection in mathematics and beyond	2018	John Alexander Cruz Morales Boris Zilber
+	Around logical perfection	2018	John Alexander Cruz Morales Andrés Villaveces Boris Zilber
+	Around logical perfection	2018	John Alexander Cruz Morales Andrés Villaveces Boris Zilber
+ PDF Chat	Analytic Zariski structures and non-elementary categoricity	2017	Boris Zilber
+ PDF Chat	Analytic and pseudo-analytic structures	2017	Boris Zilber
+	A model theoretic Rieffel's theorem of quantum 2-torus	2017	Masanori Itai Boris Zilber
+	Model theory of special subvarieties and Schanuel-type conjectures	2016	Boris Zilber
+	The semantics of the canonical commutation relation	2016	Boris Zilber
+	Analytic Zariski structures and non-elementary categoricity	2016	Boris Zilber
+ PDF Chat	The geometric semantics of algebraic quantum mechanics	2015	John Alexander Cruz Morales Boris Zilber
+	The theory of exponential sums	2015	Boris Zilber
+	Model theory of special subvarieties and Schanuel-type conjectures	2015	Boris Zilber
+	Notes on a model theory of quantum 2-torus for generic q	2015	Masanori Itai Boris Zilber
+	A non-desarguesian projective plane	2015	Katrin Tent Boris Zilber
+	The theory of exponential sums	2015	Boris Zilber
+	Model theory of special subvarieties and Schanuel-type conjectures	2015	Boris Zilber
+	Exponentially closed fields and the conjecture on intersections with tori	2014	Jonathan Kirby Boris Zilber
+	The quantum harmonic oscillator as a Zariski geometry	2014	Vinesh Solanki Dmitry Sustretov Boris Zilber
+	Natural models of theories of green points	2014	Juan Diego Caycedo Boris Zilber
+	Natural models of theories of green points	2014	Juan Diego Caycedo Boris Zilber
+	A Curve and its Abstract Jacobian	2012	Boris Zilber
+	Intersecting varieties with tori	2012	Boris Zilber
+ PDF Chat	Covers of multiplicative groups of algebraically closed fields of arbitrary characteristic	2011	Martin Bays Boris Zilber
+	Zariski structures in noncommutative algebraic geometry and representation theory	2011	Boris Zilber
+ PDF Chat	NONCOMMUTATIVE ZARISKI GEOMETRIES AND THEIR CLASSICAL LIMIT	2010	Boris Zilber
+	Analytic Zariski geometries	2010	Boris Zilber
+	Non-classical Zariski geometries	2010	Boris Zilber
+	Zariski Geometries	2010	Boris Zilber
+	Zariski Geometries	2010	Boris Zilber
+	<i>Stable domination and independence in algebraically closed valued fields</i> (Lecture Notes in Logic 30)	2010	Boris Zilber
+	Quantum Harmonic Oscillator as a Zariski Geometry	2009	Vinesh Solanki Dmitry Sustretov Boris Zilber
+	On Counting Generalized Colorings.	2009	Tomer Kotek Johann A. Makowsky Boris Zilber
+	Quantum Harmonic Oscillator as a Zariski Geometry	2009	Vinesh Solanki Dmitry Sustretov Boris Zilber
+	The model theory of the field of reals with a subgroup of the unit circle	2008	Oleg Belegradek Boris Zilber
+ PDF Chat	A class of quantum Zariski geometries	2008	Boris Zilber
+	On Counting Generalized Colorings	2008	Tomer Kotek Johann A. Makowsky Boris Zilber
+	Non-commutative Zariski geometries and their classical limit	2007	Boris Zilber
+	Non-commutative Zariski geometries and their classical limit	2007	Boris Zilber
+ PDF Chat	COVERS OF THE MULTIPLICATIVE GROUP OF AN ALGEBRAICALLY CLOSED FIELD OF CHARACTERISTIC ZERO	2006	Boris Zilber
+ PDF Chat	THE UNIFORM SCHANUEL CONJECTURE OVER THE REAL NUMBERS	2006	Jonathan Kirby Boris Zilber
+	A categoricity theorem for quasi-minimal excellent classes	2005	Boris Zilber
+	Bi-coloured fields on the complex numbers	2004	Boris Zilber
+	Analytic Zariski structures and the Hrushovski construction	2004	Nick Peatfield Boris Zilber
+	Pseudo-exponentiation on algebraically closed fields of characteristic zero	2004	Boris Zilber
+	Analytic and pseudo-analytic structures (a survey)	2004	Boris Zilber
+	Covers of the multiplicative group of an algebraically closed field of characteristic zero	2004	Boris Zilber
+	RAISING TO POWERS IN ALGEBRAICALLY CLOSED FIELDS	2003	Boris Zilber
+	EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE	2002	Boris Zilber
+	A theory of a generic function with derivations	2002	Boris Zilber
+	Fields with pseudo-exponentiation	2000	Boris Zilber
+	Sergeǐ S. Goncharov. Schetnye bulevy algebry i razreshimost′. Russian original of the preceding. Sibirskaya shkola algebry i logiki. Nauchnaya Kniga, Novosibirsk1996, 364 + xii pp. - Anand Pillay. Geometric stability theory. Oxford logic guides, no. 32. Clarendon Press, Oxford University Press, Oxford, New York, etc., 1996, x + 361 pp.	1998	Boris Zilber
+	Generalized analytic sets	1997	Boris Zilber
+	We study completely valued algebraically closed fields in languages with integral analytic func- tions. It is shown that a nontrivial model theory of integral functions can be developed on a condition that a language is chosen properly. 1. PRELIMINARIES AND FORMULATION OF THE MAIN RESULTS	1997	Boris Zilber
+	Quasi-Riemann surfaces	1996	Boris Zilber
+	Quasi-Riemann Surfaces	1996	Boris Zilber
+ PDF Chat	Zariski geometries	1996	Ehud Hrushovski Boris Zilber
+	Ahlbrandt Gisela and Ziegler Martin. Quasi finitely axiomatizable totally categorical theories. Annals of pure and applied logic, vol. 30 (1986), pp. 63–82.Hrushovski Ehud. Totally categorical structures. Transactions of the American Mathematical Society, vol. 313 (1989), pp. 131–159.	1993	Boris Zilber
+	Description of strongly minimal quasi-algebras	1993	Boris Zilber
+ PDF Chat	Zariski geometries	1993	Ehud Hrushovski Boris Zilber
+	Zariski Geometries	1993	Ehud Hrushovski Boris Zilber
+	Algebraic geometry via model theory	1992	Boris Zilber
+	Towards the Structural Stability Theory	1989	Boris Zilber
+	Some Remarks on Model Theory of Algebraically Closed Fields.	1989	Boris Zilber
+	Structural Properties of Models of N1-Categorical Theories	1986	Boris Zilber
+	Strongly minimal countably categorical theories. II	1985	Boris Zilber
+ PDF Chat	Some model theory of simple algebraic groups over algebraically closed fields	1984	Boris Zilber
+	Strongly minimal countably categorical theories	1981	Boris Zilber
+	Rings withS 1-categorical theories	1974	Boris Zilber
+	The transcendental rank of the formulas of an S1-categorical theory	1974	Boris Zilber
+	An example of two elementarily equivalent, but nonisomorphic finitely generated metabelian groups	1971	Boris Zilber
+	On the isomorphism and elementary equivalence of commutative semigroups	1970	Boris Zilber

Common Coauthors

Coauthor	Papers Together
John Alexander Cruz Morales	4
Romin Abdolahzadi	4
Christopher Daw	4
Ehud Hrushovski	3
Vinesh Solanki	3
Dmitry Sustretov	3
Masanori Itai	2
Juan Diego Caycedo	2
Tomer Kotek	2
Andrés Villaveces	2
Johann A. Makowsky	2
Jonathan Kirby	2
Martin Bays	1
Oleg Belegradek	1
John A. Cruz Morales	1
Katrin Tent	1
Ugur Efem	1
Andrés Villaveces	1
Nick Peatfield	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Zariski Geometries	2010	Boris Zilber	11
+	EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE	2002	Boris Zilber	11
+ PDF Chat	A class of quantum Zariski geometries	2008	Boris Zilber	9
+	Zariski Geometries	2010	Boris Zilber	7
+ PDF Chat	Zariski geometries	1996	Ehud Hrushovski Boris Zilber	7
+	A new strongly minimal set	1993	Ehud Hrushovski	7
+	On strongly minimal sets	1971	John T. Baldwin A. H. Lachlan	6
+	Pseudo-exponentiation on algebraically closed fields of characteristic zero	2004	Boris Zilber	6
+ PDF Chat	Quasiminimal structures and excellence	2013	Martin Bays Bradd Hart Tapani Hyttinen Meeri Kesälä Jonathan Kirby	5
+ PDF Chat	Some applications of Nevanlinna theory to mathematical logic: identities of exponential functions	1984	C. Ward Henson Lee A. Rubel	5
+ PDF Chat	COVERS OF THE MULTIPLICATIVE GROUP OF AN ALGEBRAICALLY CLOSED FIELD OF CHARACTERISTIC ZERO	2006	Boris Zilber	5
+	Strongly minimal expansions of algebraically closed fields	1992	Ehud Hrushovski	4
+	Weakly Normal Groups	1987	U. Hrushovski Anthony L. Pillay	4
+ PDF Chat	Périodes de 1-motifs et transcendance	2002	Cristiana Bertolin	4
+	Geometric Stability Theory	1996	Anand Pillay	4
+	Introduction to Transcendental Numbers	2000	Serge Lang	4
+	The semantics of the canonical commutation relation	2016	Boris Zilber	4
+	A trichotomy theorem for o-minimal structures	1998	Ya’acov Peterzil Sergei Starchenko	4
+ PDF Chat	Two conjectures regarding the stability of ω-categorical theories	1974	A. H. Lachlan	4
+	Complex analytic geometry in a nonstandard setting	2008	Ya’acov Peterzil Sergei Starchenko	3
+	Real Multiplication and Noncommutative Geometry (ein Alterstraum)	2004	Yuri I. Manin	3
+ PDF Chat	On $ω_1$-categorical theories of fields	1971	Angus Macintyre	3
+	Finite regular locally projective spaces	1971	Jean Doyen Xavier Hubaut	3
+ PDF Chat	Analytic and pseudo-analytic structures	2017	Boris Zilber	3
+	Groups of small Morley rank	1979	Gregory Cherlin	3
+	Model theory of difference fields	1999	Zoé Chatzidakis Ehud Hrushovski	3
+	Infinite Abelian groups	1970	L. Fuchs	3
+	Excellence and uncountable categoricity of Zilber's exponential fields	2013	Martin Bays Jonathan Kirby	3
+	Model Theory and Algebraic Geometry	1998		3
+	Lectures on Algebraic Quantum Groups	2002	Ken A. Brown K. R. Goodearl	3
+ PDF Chat	Some Possible Roles for Topos Theory in Quantum Theory and Quantum Gravity	2000	C. J. Isham	3
+	Model theory of special subvarieties and Schanuel-type conjectures	2016	Boris Zilber	3
+ PDF Chat	The theory of Liouville functions	2003	Pascal Koiran	3
+	On Schanuel's Conjectures	1971	James Ax	3
+ PDF Chat	The theory of the exponential differential equations of semiabelian varieties	2009	Jonathan Kirby	3
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	2
+ PDF Chat	A topos foundation for theories of physics: I. Formal languages for physics	2008	Andreas Döring C. J. Isham	2
+	Model Theory with Applications to Algebra and Analysis	2008	Zoé Chatzidakis Dugald Macpherson Anand Pillay A. J. Wilkie	2
+	On the decidability of the real exponential field	1996	Angus Macintyre A. J. Wilkie	2
+ PDF Chat	Logic and Its Applications	2005	Andreas Blass Yi Zhang	2
+	The elementary theory of abelian groups	1972	Paul C. Eklof Edward R. Fischer	2
+	Finite-dimensional quantum mechanics	1981	Stanley Gudder Vladimir Naroditsky	2
+ PDF Chat	A nonstandard Riemann existence theorem	2004	Rahim Moosa	2
+	Modern Geometry — Methods and Applications	1984	Boris Dubrovin A. T. Fomenko S. P. Novikov	2
+ PDF Chat	On quasiminimal excellent classes	2010	Jonathan Kirby	2
+	Complex Analytic Sets	1989	E. M. Chirka	2
+	RAISING TO POWERS IN ALGEBRAICALLY CLOSED FIELDS	2003	Boris Zilber	2
+	Finite diagrams stable in power	1970	Saharon Shelah	2
+	Strongly minimal countably categorical theories	1981	Boris Zilber	2
+ PDF Chat	Some model theory of simple algebraic groups over algebraically closed fields	1984	Boris Zilber	2