Alexandre Borovik

Alexandre Borovik's AcademicInfluence.com Rankings

Alexandre Borovik

Mathematics

#3433

World Rank

#5070

Historical Rank

Measure Theory

#3723

World Rank

#4389

Historical Rank

mathematics Degrees

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Mathematics

Alexandre Borovik's Degrees

PhD Mathematics University of Manchester

Why Is Alexandre Borovik Influential?

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According to Wikipedia, Alexandre V. Borovik is a Professor of Pure Mathematics at the University of Manchester, United Kingdom. He was born in Russia and graduated from Novosibirsk State University in 1978. His principal research lies in algebra, model theory, and combinatorics—topics on which he published several monographs and a number of papers. He also has an interest in mathematical practice: his book Mathematics under the Microscope: Notes on Cognitive Aspects of Mathematical Practice examines a mathematician's outlook on psychophysiological and cognitive issues in mathematics.

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Alexandre Borovik's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Simple groups of finite Morley rank (2008) (92)
Who Gave You the Cauchy–Weierstrass Tale? The Dual History of Rigorous Calculus (2011) (72)
Measuring sets in infinite groups (2002) (57)
Involutions in groups of finite Morley rank of degenerate type (2007) (55)
Reflection Groups and Coxeter Groups (2003) (47)
Maximal subgroups in finite and profinite groups (1996) (46)
Mirrors and Reflections (2010) (46)
Finite and Locally Finite Groups (1995) (43)
Embeddings of finite Chevalley groups and periodic linear groups (1983) (42)
Multiplicative Measures on Free Groups (2002) (39)
Simple Locally Finite Groups of Finite Morley Rank and Odd Type (1995) (38)
Mathematics under the Microscope (2009) (36)
Groups of Mixed Type (1997) (33)
Symplectic Matroids (1998) (31)
Permutation groups of finite Morley rank (2007) (31)
Structure of finite subgroups of simple algebraic groups (1989) (30)
Probabilistic recognition of orthogo-nal and symplectic groups (2001) (25)
The Conjugacy Problem in Amalgamated Products I: Regular Elements and Black Holes (2007) (25)
MATHEMATICAL ABILITIES AND MATHEMATICAL SKILLS (2007) (23)
CIT Groups of Finite Morley Rank (II) (1994) (21)
Centralisers of Involutions in Black Box Groups (2001) (20)
WP-Matroids and Thin Schubert Cells on Tits Systems (1994) (20)
A Generic Identification Theorem for Groups of Finite Morley Rank (2004) (19)
Coxeter matroid polytopes (1997) (19)
An Integer Construction of Infinitesimals: Toward a Theory of Eudoxus Hyperreals (2012) (19)
Generic Complexity of the Conjugacy Problem in HNN-Extensions and Algorithmic Stratification of Miller's Groups (2007) (19)
The lattice of flats and its underlying flag matroid polytope (1997) (18)
The Finitary Andrews-Curtis Conjecture (2011) (17)
On Groups of Finite Morley Rank with Weakly Embedded Subgroups (1999) (17)
On the Schur-Zassenhaus theorem for groups of finite Morley rank (1992) (17)
The Andrews-Curtis Conjecture and Black Box Groups (2001) (16)
On exchange properties for Coxeter matroids and oriented matroids (1998) (16)
Mirrors and Reflections: The Geometry of Finite Reflection Groups (2009) (16)
Jordan subgroups of simple algebraic groups (1989) (15)
Adjoint representations of black box groups PSL2(Fq) (2015) (15)
Cauchy’s Infinitesimals, His Sum Theorem, and Foundational Paradigms (2017) (13)
The spotless flare of 16 March 1981 – I. Pre-Flare Activations of the Chromospheric Fine Structure (2002) (13)
Schur-Zassenhaus theorem revisited (1994) (12)
Algorithmic stratification of the conjugacy problem in Miller’s groups (2005) (12)
Classification of periodic linear groups over fields of odd characteristic (1984) (12)
Parabolic 2-local subgroups in groups of finite Morley rank of even type (2003) (11)
Groups of Finite Morley Rank and Even Type with Strongly Closed Abelian Subgroups (2000) (11)
Groups of Lie Type and their Geometries: Coxeter groups and matroids (1995) (11)
Information technology in university‐level mathematics teaching and learning: a mathematician’s point of view (2011) (11)
A Non-Standard Analysis of a Cultural Icon: The Case of Paul Halmos (2016) (11)
An Adjacency Criterion for Coxeter Matroids (1999) (10)
Calling a Spade a Spade: Mathematics in the New Pattern of Division of Labour (2014) (10)
Mathematics for Makers and Mathematics for Users (2017) (10)
Uniqueness cases in odd‐type groups of finite Morley rank (2007) (9)
Lagrangian Matroids and Cohomology (2000) (9)
RANK 3 BINGO (2015) (9)
Groups, Languages, Algorithms (2005) (9)
Tame Groups of Odd and Even Type (1998) (9)
Representations of Matroids in Semimodular Lattices (2001) (8)
FIFTY SHADES OF BLACK (2013) (8)
3-local characterization of Held groups (1980) (7)
Combinatorial Flag Varieties (2000) (7)
Groups of finite Morley rank with a generically sharply multiply transitive action (2018) (7)
A mathematician's view of the unreasonable ineffectiveness of mathematics in biology (2021) (7)
Groups of automorphisms of finite p-groups (1976) (7)
Genetic Algorithms and Equations in Free Groups and Semigroups (2004) (7)
On the Topology of the Combinatorial Flag Varieties (2002) (7)
Construction of Curtis-Phan-Tits system in black box classical groups (2010) (7)
Quotient tests and random walks in computational group theory (2005) (6)
Locally finite groups of finite centralizer dimension (2018) (6)
"FREE MATHS SCHOOLS": SOME INTERNATIONAL PARALLELS (2012) (6)
Linear Groups of Finite Morley Rank (2008) (6)
Matroids and Coxeter groups (2003) (6)
Steinberg presentations of black box classical groups in small characteristics (2013) (6)
Structure and development of the spotless flare on March 16, 1981 (2010) (6)
An identification theorem for groups of finite Morley rank and even type (2003) (5)
Boundaries of Coxeter Matroids (1996) (5)
Jordan subgroups and orthogonal decompositions (1989) (5)
Groups of finite Morley rank with a pseudoreflection action (2011) (5)
Pushing up and C(G, T) in groups of finite Morley rank of even type (2002) (5)
Studying the astroclimate at Baikal Astrophysical Observatory by optical methods (2014) (4)
A new trichotomy theorem for groups of finite Morley rank (2008) (4)
Oriented Lagrangian Matroids (2000) (4)
Probabilistic Recognition of Orthogonal and Symplectic Groups : Corrections (2001) (4)
Homomorphic Encryption and Some Black Box Attacks (2020) (4)
Matroid Homology (1999) (3)
Binding groups, permutation groups and modules of finite Morley rank (2019) (3)
The Spotless Flare of March 16, 1981 (2007) (3)
Sylow theory for groups of finite Morley rank (1989) (3)
Groups of finite Morley rank with a generically multiply transitive action on an abelian group (2021) (3)
On a Class of Doubly Transitive ω-Stable Groups (1994) (3)
Flag Matroids (1997) (3)
THE STRANGE FATE OF ABSTRACT THINKING (2013) (3)
Lagrangian Matroids associated with Maps on Orientable Surfaces (2000) (3)
Classification of Simple K*-Groups of Finite Morley Rank and Even Type: Geometric Aspects (2003) (3)
Finite group actions on abelian groups of finite Morley rank (2020) (3)
Orthogonal and Symplectic Black Box Groups, Revisited (2001) (3)
New Approaches in Black Box Group Theory (2014) (3)
Where will the next generation of UK mathematicians come from ? (2005) (3)
Construction of some subgroups in black box groups ${\rm {PGL}}_2(q)$ and ${\rm{(P)SL}}_2(q)$ (2014) (2)
Groups, Combinatorics & Geometry: Some remarks on the structure of finite subgroups of simple algebraic groups (1992) (2)
A View from Lockdown: Mathematics Discovered, Invented, and Inherited (2021) (2)
Lagrangian pairs and Lagrangian orthogonal matroids (2002) (2)
Mathematics and Mathematics Education in the 21st Century (2022) (2)
Cauchy’s Infinitesimals, His Sum Theorem, and Foundational Paradigms (2017) (1)
A New Trichotomy Theorem (2007) (1)
Coxeter Theory: The Cognitive Aspects (2004) (1)
Coevolution of Algorithms and Deterministic Solution of Equations in Free Groups (2004) (1)
The challenge of computer mathematics. Discussion (2005) (1)
The Kolmogorov Reform of Mathematics Education in the USSR (2022) (1)
Computing and the cultures of proving. Dicussion (2005) (1)
Conjugacy problem in HNN-extensions: regular elements and black holes (2007) (1)
Historical Infinitesimalists and modern historiography of infinitesimals (2022) (1)
I. Mental Skills (2019) (1)
On the number of maximal soluble subgroups of a finite group (1998) (1)
Is Pluralism in the History of Mathematics Possible? (2022) (1)
The manifestation of supergranulation structures of active regions during solar flares (1988) (1)
What is It That Makes a Mathematician (2005) (1)
Economy of thought a neglected principle of mathematics education (2017) (1)
Natural representations of black box groups encrypting $SL_2(\mathbb{F}_q)$. (2020) (1)
Combinatorial Geometry in Characteristic 1 (1999) (1)
Automorphism groups of multilinear forms and maps (1989) (1)
Black Box White Arrow (2014) (1)
NEW MATHEMATICS DISCOVERED, INVENTED, AND INHERITED (2013) (1)
Metamathematics of Elementary Mathematics (2008) (1)
Computational and Experimental Group Theory (2004) (1)
-groups and -groups (2008) (1)
Lagrangian Matroids: Representations of Type $B_n$ (2002) (1)
Black box algebra and homomorphic encryption (2017) (1)
The Essence of Mathematics Through Elementary Problems (2019) (1)
Implementation of the Kid Krypto Concept Computer Assisted Teaching of Number Theory and Cryptography (2002) (1)
An investigation of the subflare-microwave burst connection (1990) (1)
Mathematics discovered, invented, and inherited (2013) (1)
Being in Control (2017) (1)
Variations on a theme of Timmesfeld: a finite group-theoretic analogue of the classification of groups of finite Morley rank and even type (2006) (0)
K * -groups of Finite Morley Rank and of Even Type File Revision Date: June 1999 (1999) (0)
II. Arithmetic (2019) (0)
Tables of Contents (2008) (0)
Normalizers of 2-subgroups of finite groups (1981) (0)
Human Dimension of Mathematics (2007) (0)
The ultimate replicating machines (2009) (0)
2 5 Ja n 20 08 Linear groups of finite Morley rank (2008) (0)
Affine Euclidean Space $$\mathbb{A}\mathbb{R}^{n}$$ (2010) (0)
A taste of things to come (2009) (0)
Incomplete Draft Version 01 (2000) (0)
The wing of the hummingbird (2009) (0)
Systems of Mirrors (2010) (0)
Encapsulation of actual infinity (2009) (0)
Makers and Users (2015) (0)
Root Systems An−1, BCn, Dn (2010) (0)
Groups, Languages, Algorithms: Ams-asl Joint Special Session On Interactions Between Logic, Group Theory, And Computer Science, January 16-19, 2003, Baltimore, Maryland (2005) (0)
INEVITABILITY OF THINGS NON-STANDARD (2008) (0)
The line of sight (2009) (0)
Infinity and beyond (2009) (0)
A PERSONAL TAKE ON SYNTHETIC PHONICS (2013) (0)
A PERSONAL TAKE ON SYNTHETIC PHONICS (2013) (0)
Strong embedding and weak embedding (2008) (0)
Metric matroids and metric buildings (2008) (0)
0 01 02 37 v 1 2 5 O ct 2 00 0 Oriented Lagrangian Matroids (2006) (0)
Computational and experimental group theory : AMS-ASL Joint Special Session, Interactions Between Logic, Group Theory and Computer Science, January 15-16, 2003, Baltimore, Maryland (2004) (0)
Ubiquity and uniqueness: everyday mathematics from amodel-theoretic perspective (2008) (0)
INFORMATION AND COMMUNICATION TECHNOLOGY IN UNIVERSITY LEVEL MATHEMATICS TEACHING (2012) (0)
Who Gave You the Cauchy–Weierstrass Tale? The Dual History of Rigorous Calculus (2011) (0)
Generic covering and conjugacy theorems (2008) (0)
Construction of the light curves for solar flares in the Hα line (2016) (0)
Introduction to Groups of Finite Morley Rank (1999) (0)
Matroids and Flag Matroids (2003) (0)
III. Word Problems (2019) (0)
Construction of Root Systems (2010) (0)
Bulletin (new Series) of the American Mathematical Society Simple Groups of Finite Morley Rank (2010) (0)
A note on multivalued groups (2012) (0)
V. Geometry (2019) (0)
ON the Development and Flare Activity in Sunspot Group SD 135 / 1984 (1985) (0)
Standard components of type (2008) (0)
Workshop Program Combinatorial geometries 2018 : matroids , oriented matroids and applications (2018) (0)
Restructuring of the Solar Magnetic Fields and Flare Activity Centers in Cycle 24 (2020) (0)
On varieties of representations of finite groups (2008) (0)
2-Generated Cores in Groups of Finite Morley Rank of Odd Type (2002) (0)
Reflection Groups in Three Dimensions (2010) (0)
“Kolmogorov’s logic” and heuristic reasoning (2009) (0)
Classification of Finite Reflection Groups (2010) (0)
Generators and Relations (2010) (0)
Contemporary Mathematics Centralisers of Involutions in Black Box Groups (2001) (0)
IT in university level mathematics teaching and learning: a mathematician's point of view (2010) (0)
Merkator projection,logasrithm and... (2010) (0)
'Decolonisation' of the curricula and some related issues (2022) (0)
What you see is what you get (2009) (0)
Recovery vs. discovery (2009) (0)
2 1 O ct 2 00 1 Orthogonal and Symplectic Black Box Groups , Revisited (2008) (0)
Metric matroids and metric buildings Borovik , Alexandre 2008 (2018) (0)
STATISTICAL STUDIES OF LOW-POWER SOLAR FLARES . DISTRIBUTION OF FLARES BY AREA , BRIGHTNESS , AND IMPORTANCE (2017) (0)
Analysis of structure and development of spotless flares using digital images of the solar chromosphere (2016) (0)
Se p 20 02 Lagrangian Matroids : Representations of Type B n (2002) (0)
Flare activity centers and their relation to geomagnetic activity. (1991) (0)
Mathematics education policy as a high stakes political struggle: The case of Soviet Russia of the 1930s (2021) (0)
Matroids and Semimodular Lattices (2003) (0)
Contemporary Mathematics Measuring sets in infinite groups (2002) (0)
A note on multivalued groups (2012) (0)
Mathematics for teachers of mathematics (2018) (0)
Activations of the Chromospheric Structures Before Small Solar Flares (1988) (0)
Black box, white arrow Borovik, Alexandre and Yalcinkaya, Sukru 2014 (2017) (0)
Isometries of $$\mathbb{A}\mathbb{R}^{n}$$ (2010) (0)
The vivisection of the Cheshire Cat (2009) (0)
VI. Infinity: recursion, induction, infinite descent (2019) (0)
Antalya Algebra Days XIV in Çe3me (2012) (0)
Permutation groups of finite Morley rank: an Oberwolfach talk (2007) (0)
Small solar flares in an activity complex. (1985) (0)
Mercator's projection, logarithm and seafaring (2010) (0)
Orders of Reflection Groups (2010) (0)
A new course `Algebra + Computer Science': What should be its outcomes and where it should start (2022) (0)
The (,) theorem and a plan of attack (2008) (0)
BARCELONA MODNET CONFERENCE 3-7 NOVEMBER 2008 ABSTRACTS OF TALKS (2008) (0)
Radon Catalogs, the Odd-Even Invariant, and Valuations (2013) (0)

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Alexandre Borovik's Academic­Influence.com Rankings