# Boaz Tsaban

#97,668

Most Influential Person Now

Israeli mathematician

## Boaz Tsaban's AcademicInfluence.com Rankings

Boaz Tsabanmathematics Degrees

Mathematics

#5089

World Rank

#7196

Historical Rank

Combinatorics

#108

World Rank

#116

Historical Rank

Group Theory

#317

World Rank

#368

Historical Rank

Algebra

#668

World Rank

#879

Historical Rank

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Mathematics

## Boaz Tsaban's Degrees

- PhD Mathematics Tel Aviv University
- Masters Mathematics Tel Aviv University
- Bachelors Mathematics Tel Aviv University

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## Why Is Boaz Tsaban Influential?

(Suggest an Edit or Addition)According to Wikipedia, Boaz Tsaban is an Israeli mathematician on the faculty of Bar-Ilan University. His research interests include selection principles within set theory and nonabelian cryptology, within mathematical cryptology.

## Boaz Tsaban's Published Works

### Published Works

- The combinatorics of Borel covers (2002) (89)
- LENGTH-BASED CONJUGACY SEARCH IN THE BRAID GROUP (2002) (71)
- Hereditary topological diagonalizations and the Menger-Hurewicz Conjectures (2002) (70)
- Polynomial-Time Solutions of Computational Problems in Noncommutative-Algebraic Cryptography (2012) (64)
- Probabilistic Solutions of Equations in the Braid Group (2004) (60)
- Scales, fields, and a problem of Hurewicz (2005) (54)
- Selection principles and the Minimal Tower problem (2001) (51)
- Efficient linear feedback shift registers with maximal period (2002) (44)
- MENGER'S AND HUREWICZ'S PROBLEMS: SOLUTIONS FROM "THE BOOK" AND REFINEMENTS (2009) (43)
- Some New Directions in Infinite-combinatorial Topology (2004) (41)
- o-bounded groups and other topological groups with strong combinatorial properties (2003) (36)
- Additivity properties of topological diagonalizations (2001) (35)
- SELECTION PRINCIPLES IN MATHEMATICS: A MILESTONE OF OPEN PROBLEMS (2003) (34)
- Critical Cardinalities and Additivity Properties of Combinatorial Notions of Smallness (2003) (33)
- Guaranteeing the Diversity of Number Generators (2001) (32)
- Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations (2010) (32)
- Strong γ-sets and other singular spaces☆ (2002) (31)
- ON THE PYTKEEV PROPERTY IN SPACES OF CONTINUOUS FUNCTIONS (2006) (31)
- A Topological Interpretation of t (1998) (30)
- Length-based cryptanalysis: the case of Thompson's group (2006) (30)
- A Diagonalization Property between Hurewicz and Menger (2001) (30)
- Cryptanalysis of SP Networks with Partial Non-Linear Layers (2015) (30)
- Cryptanalysis via Algebraic Spans (2018) (30)
- Short expressions of permutations as products and cryptanalysis of the Algebraic Eraser (2008) (27)
- Linear $\sigma$-additivity and some applications (2009) (26)
- A Practical Cryptanalysis of the Algebraic Eraser (2015) (25)
- Additivity numbers of covering properties (2006) (25)
- PRODUCTS OF SPECIAL SETS OF REAL NUMBERS (2003) (25)
- The combinatorics of splittability (2002) (24)
- Combinatorial images of sets of reals and semifilter trichotomy (2006) (23)
- Cryptanalysis of Group-Based Key Agreement Protocols Using Subgroup Distance Functions (2007) (22)
- THE HUREWICZ COVERING PROPERTY AND SLALOMS IN THE BAIRE SPACE (2003) (21)
- Selection Principles and special sets of reals: Open problems (2006) (20)
- Diagonalizations of dense families (2012) (19)
- Products of Menger spaces: A combinatorial approach (2016) (18)
- Combinatorial aspects of selective star covering properties in Ψ-spaces (2014) (17)
- Cryptanalysis of the MORE symmetric key fully homomorphic encryption scheme (2015) (17)
- The character of topological groups, via bounded systems, Pontryagin–van Kampen duality and pcf theory (2010) (16)
- Selective covering properties of product spaces (2013) (16)
- The combinatorics of the Baer-Specker group (2005) (16)
- Point-cofinite covers in the Laver model (2009) (15)
- The combinatorics of τ-covers (2004) (15)
- On productively Lindelöf spaces (2011) (14)
- SELECTIVE COVERING PROPERTIES OF PRODUCT SPACES, II: SPACES (2013) (13)
- $${\text {SL}}_2$$SL2 homomorphic hash functions: worst case to average case reduction and short collision search (2013) (13)
- Partition relations for Hurewicz-type selection hypotheses (2008) (13)
- On the Kočinac αi properties (2006) (13)
- A reduction of Semigroup DLP to classic DLP (2013) (11)
- On an authentication scheme based on the Root Problem in the braid group (2005) (11)
- Covering the Baire space by families which are not finitely dominating (2004) (11)
- Squares of Menger-bounded groups (2006) (11)
- Sequential properties of function spaces with the compact-open topology (2010) (10)
- Cryptanalysis of the Algebraic Eraser and short expressions of permutations as products (2008) (10)
- Bernoulli Numbers and the Probability of a Birthday Surprise (2003) (9)
- Finite powers and products of Menger sets (2019) (9)
- Hindmanʼs coloring theorem in arbitrary semigroups (2013) (8)
- Permutation graphs, fast forward permutations, and sampling the cycle structure of a permutation (2002) (8)
- Chapter 9 – Selection principles and special sets of reals (2007) (8)
- Algebra, selections, and additive Ramsey theory (2014) (8)
- A new selection principle (2006) (8)
- The combinatorics of the Baire group (2005) (8)
- Products of general Menger spaces (2016) (7)
- Pointwise convergence of partial functions: The Gerlits-Nagy Problem (2011) (7)
- On the Rabbinical Approximation of π (1998) (7)
- Cardinals related to the minimal tower problem (2003) (7)
- Improved Analysis of Zorro-Like Ciphers (2014) (7)
- The minimal cardinality where the Reznichenko property fails (2003) (7)
- On the cardinality of the θ-closed hull of sets (2013) (6)
- Menger's covering property and groupwise density (2005) (6)
- HUREWICZ SETS OF REALS WITHOUT PERFECT SUBSETS (2006) (6)
- Topological diagonalizations and Hausdorff dimension (2002) (6)
- Additivity of the Gerlits--Nagy property and concentrated sets (2012) (6)
- SUPERFILTERS, RAMSEY THEORY, AND VAN DER WAERDEN'S THEOREM (2008) (5)
- Practical polynomial time solutions of several major problems in noncommutative-algebraic cryptography (2014) (5)
- Solving Random Equations in Garside Groups Using Length Functions (2006) (5)
- Strongly sequentially separable function spaces, via selection principles (2019) (5)
- THE CHARACTER OF TOPOLOGICAL GROUPS, VIA PONTRYAGIN-VAN KAMPEN DUALITY AND SHELAH'S PCF THEORY (2010) (4)
- Short collision search in arbitrary SL2 homomorphic hash functions (2013) (4)
- A Mechanical Derivation of the Area of the Sphere (2001) (4)
- Fast generators for the Diffie-Hellman key agreement protocol and malicious standards (2005) (4)
- Arhangel'skiĭ sheaf amalgamations in topological groups (2011) (3)
- Products of Menger spaces, II: general spaces (2016) (3)
- On the Simultaneous Conjugacy Problem in Garside groups (2014) (3)
- The Haar measure problem (2017) (3)
- On a problem of Juhasz and van Mill (2007) (3)
- Conceptual proofs of the Menger and Rothberger games (2019) (3)
- A better length function for Artin's braid groups (2006) (3)
- On productively Lindel\"of spaces (2011) (2)
- Double coset problem for parabolic subgroups of braid groups (2014) (2)
- On the cardinality of the $\theta$-closed hull of sets (2012) (2)
- The discrete logarithm problem in Bergman's non-representable ring (2012) (2)
- Null sets and games in Banach spaces (2006) (2)
- Cryptanalysis of the Shpilrain-Ushakov Thompson group cryptosystem (2005) (2)
- The linear refinement number and selection theory (2014) (2)
- A reduction of Semigroup DLP to classic DLP (2015) (1)
- Polynomial time cryptanalysis of noncommutative-algebraic key exchange protocols (2012) (1)
- Continuous selections and σ-spaces (2007) (1)
- Menger-bounded groups and axioms about filters (2021) (1)
- Complete simultaneous conjugacy invariants in Garside groups (2014) (1)
- Decompositions of graphs of functions and fast iterations of lookup tables (2005) (1)
- The character of topological groups: Shelah's pcf theory and Pontryagin-van Kampen duality (2010) (1)
- The Conjugacy Problem and Related Problems in Lattice-Ordered Groups (2005) (1)
- Contributions 1 (2003) (1)
- SPM Bulletin 5 (Special issue) (2003) (1)
- Random strategies with memory for the Robin Hood game (2004) (1)
- Theoretical Cryptanalysis of the Klimov-Shamir Number Generator TF-1 (2005) (1)
- Games in Banach spaces: Questions and several answers (2006) (1)
- A classification of the cofinal structures of precompacta (2016) (1)
- The cofinal structure of precompact and compact sets in general metric spaces (2016) (1)
- Algebra in the Stone--\v{C}ech compactification, selections, and additive combinatorics (2014) (1)
- The mathematics of Marion Scheepers (2019) (0)
- A Topological Characterization of $\ft$ (1997) (0)
- 2 0 A pr 2 00 6 ADDITIVITY NUMBERS OF COVERING PROPERTIES (2008) (0)
- ay 2 00 1 SELECTION PRINCIPLES AND THE MINIMAL TOWER PROBLEM (2001) (0)
- On Rystov's generalization of the Černý Conjecture (2013) (0)
- The SPM Bulletin: History and future (2007) (0)
- REPORT ON INFTY SHORT VISIT COLLABORATION: SELECTIVE COVERING PROPERTIES AND PRODUCTS (2012) (0)
- On the Rabbinical Approximation of f (1998) (0)
- Ju n 20 01 A DIAGONALIZATION PROPERTY BETWEEN HUREWICZ AND MENGER (2001) (0)
- RANDOM STRATEGIES WITH HISTORICAL MEMORY FOR THE (2008) (0)
- The Bulletin: History and future (2007) (0)
- Pseudorandom permutations with the fast forward property (2001) (0)
- On Rystov's generalization of the \v{C}ern\'y Conjecture (2013) (0)
- On the Koÿ cinac αi properties (2007) (0)
- R ] 2 J un 2 01 6 A Practical Cryptanalysis of the Algebraic Eraser (2018) (0)
- Iterating lookup tables efficiently (2005) (0)
- The mathematics of Ljubiša D.R. Kočinac (2013) (0)
- Menger's and Hurewicz's Problems: Solutions from "The Book" and ramifications (2009) (0)
- Algebra in the Stone-\v{C}ech compactification, selections, and coloring theorems (2014) (0)
- G N ] 1 0 Ja n 20 08 SCALES , FIELDS , AND A PROBLEM OF HUREWICZ (2008) (0)
- The Discrete Logarithm Problem in non-representable rings (2012) (0)
- The Topological Meaning of T (1997) (0)
- Contributions 2 (2003) (0)
- Decompositions of graphs of functions and efficient iterations of lookup tables (2005) (0)
- Complete simultaneous conjugacy invariants in Artin's braid groups (2014) (0)
- Monochromatic generating sets in groups and other algebraic structures (2012) (0)
- Selection principles and proofs from the Book (2023) (0)
- Permutation graphs, fast forward permutations, and (2003) (0)
- Several comments about the combinatorics of τ-covers (2006) (0)
- On isometric embeddings into the Urysohn universal metric space (2006) (0)
- G N ] 3 1 O ct 2 01 0 ADDITIVITY NUMBERS OF COVERING PROPERTIES (2020) (0)
- Algebra in the Stone--\v{C}ech compactification, selections, and additive Ramsey theory (2014) (0)
- On a problem of Bonanzinga and Matveev (2014) (0)
- Se p 20 03 SELECTION PRINCIPLES AND THE MINIMAL TOWER PROBLEM (2008) (0)
- A TOPOLOGICAL INTERPRETATION OF THE TOWER NUMBER (1997) (0)
- Several comments about the combinatorics of τ-cover (2006) (0)
- Polynomial-Time Solutions of Computational Problems in Noncommutative-Algebraic Cryptography (2013) (0)
- SPM Bulletin 6 (November 2003) (2003) (0)
- Random Strategies with Historical Memory for the Robin Hood Game (2005) (0)
- Fe b 20 03 The combinatorics of Borel covers (2008) (0)
- On a Problem of Juhand van Mill (2010) (0)
- TS-Hash: a lightweight cryptographic hash family based on Galois LFSRs (2023) (0)

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