Alexander Soifer

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All published works
Action Title Year Authors
+ Mathematics, Its History, and Mathematical Olympiads: A Golden Braid 2024 Alexander Soifer
+ Ramsey Theory Before Ramsey: Schur’s Coloring Solution of a Colored Problem and Its Generalizations 2024 Alexander Soifer
+ Monochromatic Arithmetic Progressions or Life After Van der Waerden’ Proof 2024 Alexander Soifer
+ A Japanese Insight into Baudet–Schur–Van der Waerden’s Theorem 2024 Alexander Soifer
+ Polychromatic Number of the Plane and Results Near the Upper Bound 2024 Alexander Soifer
+ Kempe–Heawood’s Five-Color Theorem and Tait’s Equivalence 2024 Alexander Soifer
+ The New Mathematical Coloring Book 2024 Alexander Soifer
+ The Gallai Theorem 2024 Alexander Soifer
+ A Stroke of Brilliance: Matthew Huddleston’s Proof 2024 Alexander Soifer
+ 3-Colored Plane, 2-Colored Space, and Ramsey Sets 2024 Alexander Soifer
+ Ramsey Theory Before Ramsey: Van der Waerden Tells the Story of Creation 2024 Alexander Soifer
+ Measurable Chromatic Number of the Plane 2024 Alexander Soifer
+ Chromatic Number of the Plane: The Problem 2024 Alexander Soifer
+ Exoo–Ismailescu: The Final Word on Problem 15.4 2024 Alexander Soifer
+ Continuum of 6-Colorings of the Plane 2024 Alexander Soifer
+ Rational Coloring 2024 Alexander Soifer
+ Ramsey Theory Before Ramsey: Hilbert’s Theorem 2024 Alexander Soifer
+ Edge Chromatic Number of a Graph 2024 Alexander Soifer
+ What If We Had No Choice? 2024 Alexander Soifer
+ Chromatic Number of a Graph 2024 Alexander Soifer
+ Chromatic Number of the Plane: A Historical Essay 2024 Alexander Soifer
+ Edge-Colored Graphs: Ramsey and Folkman Numbers 2024 Alexander Soifer
+ A Story of Colored Polygons and Arithmetic Progressions 2024 Alexander Soifer
+ Applications of the Baudet–Schur–Van der Waerden 2024 Alexander Soifer
+ AfterMath and the Shelah–Soifer Class of Graphs 2024 Alexander Soifer
+ Can We Reach Chromatic 5 Without Mosers Spindles? 2024 Alexander Soifer
+ In Search of Van der Waerden: The Unsettling Years, 1946–1951 2024 Alexander Soifer
+ Two Celebrated Problems 2024 Alexander Soifer
+ The Four-Color Theorem 2024 Alexander Soifer
+ De Bruijn–ErdƑs’ Theorem and Its History 2024 Alexander Soifer
+ Monochromatic Polygons in a 2-Colored Plane 2024 Alexander Soifer
+ Solution of an ErdƑs Problem: The O’Donnell Theorem 2024 Alexander Soifer
+ Forbidden Odds, Binaries, and Factorials 2024 Alexander Soifer
+ A Glimpse into the Future: Chromatic Number of the Plane, Theorems, and Conjectures 2024 Alexander Soifer
+ PDF Chat The Soifer (formerly Colorado) Mathematical Olympiad, why it was founded, bridge between its problems and mathematics, and lives of its winners: an essay 2022 Alexander Soifer
+ A square-grid coloring problem 2020 Matthew Kahle
Francisco Martinez‐Figueroa
Alexander Soifer
+ The Colorado Mathematical Olympiad: The Third Decade and Further Explorations: From the Mountains of Colorado to the Peaks of Mathematics 2017 Alexander Soifer
+ E26: Mark Heim’s Proof 2017 Alexander Soifer
+ The Colorado Mathematical Olympiad: The Third Decade and Further Explorations 2017 Alexander Soifer
+ E25: The Story of One Old ErdƑs Problem 2017 Alexander Soifer
+ Movement 4. Colorado Mathematical Olympiad: Reminiscences by Robert Ewell 2017 Alexander Soifer
+ E28: The ErdƑs Number and Hamiltonian Mysteries 2017 Alexander Soifer
+ Twenty-Second Colorado Mathematical Olympiad 2017 Alexander Soifer
+ E27: Coloring Integers—Entertainment of Mathematical Kind 2017 Alexander Soifer
+ E29: One Old ErdƑs–Turán Problem 2017 Alexander Soifer
+ Classic Conjectures Allow Young Mathematicians to Commence Research 2017 Alexander Soifer
+ Competitions for Young Mathematicians 2017 Alexander Soifer
+ Goals of Mathematics Instruction: Seven Thoughts and Seven Illustrations of Means 2017 Alexander Soifer
+ Twenty-Eighth Colorado Mathematical Olympiad 2017 Alexander Soifer
+ Farewell to the Reader 2017 Alexander Soifer
+ Thirtieth Colorado Mathematical Olympiad 2017 Alexander Soifer
+ Twenty-Fifth Colorado Mathematical Olympiad 2017 Alexander Soifer
+ Twenty-First Colorado Mathematical Olympiad 2017 Alexander Soifer
+ Twenty-Fourth Colorado Mathematical Olympiad 2017 Alexander Soifer
+ Twenty-Third Colorado Mathematical Olympiad 2017 Alexander Soifer
+ The Hadwiger–Nelson Problem 2016 Alexander Soifer
+ Geometric graphs 2015 Alexander Soifer
+ The Scholar and the State: In Search of Van der Waerden 2014 Alexander Soifer
+ The Joys of Young Bartel24 2014 Alexander Soifer
+ The Story of The Book 2014 Alexander Soifer
+ The Theorem on Arithmetic Progressions 2014 Alexander Soifer
+ Job History 1945–1947 2014 Alexander Soifer
+ Whose Conjecture Did Van der Waerden Prove? 2014 Alexander Soifer
+ Mathematische Annalen 2014 Alexander Soifer
+ The Theorem Becomes Classic 2014 Alexander Soifer
+ The Algebraic Revolution That Produced Just One Book 2014 Alexander Soifer
+ The Colorado Mathematical Olympiad and Further Explorations: From the Mountains of Colorado to the Peaks of Mathematics 2011 Alexander Soifer
Philip L. Engel
+ Eleventh Colorado Mathematical Olympiad: April 22, 1994 2011 Alexander Soifer
+ Third Colorado Mathematical Olympiad: April 18, 1986 2011 Alexander Soifer
+ The Sixth Colorado Mathematical Olympiad: April 21, 1989 2011 Alexander Soifer
+ Nineteenth Colorado Mathematical Olympiad: April 19, 2002 2011 Alexander Soifer
+ Eighth Colorado Mathematical Olympiad: April 26, 1991 2011 Alexander Soifer
+ Twelfth Colorado Mathematical Olympiad: April 28, 1995 2011 Alexander Soifer
+ E7. Rectangles in a Colored Plane 2011 Alexander Soifer
+ E5. Points in Convex Figures 2011 Alexander Soifer
+ Ninth Colorado Mathematical Olympiad: April 24, 1992 2011 Alexander Soifer
+ Second Colorado Mathematical Olympiad: April 19, 1985 2011 Alexander Soifer
+ E6. Triangles in a Colored Plane 2011 Alexander Soifer
+ E10. The Schur Theorem 2011 Alexander Soifer
+ Seventeenth Colorado Mathematical Olympiad: April 21, 2000 2011 Alexander Soifer
+ Seventh Colorado Mathematical Olympiad: April 27, 1990 2011 Alexander Soifer
+ Tenth Colorado Mathematical Olympiad: April 23, 1993 2011 Alexander Soifer
+ E4. How Does One Cut a Triangle? 2011 Alexander Soifer
+ Eighteenth Colorado Mathematical Olympiad: April 20, 2001 2011 Alexander Soifer
+ The Colorado Mathematical Olympiad and Further Explorations 2011 Alexander Soifer
+ Fourteenth Colorado Mathematical Olympiad: April 25, 1997 2011 Alexander Soifer
+ Fifth Colorado Mathematical Olympiad: April 22, 1988 2011 Alexander Soifer
+ Colorado Mathematical Olympiad: How it Started and What it has Become 2011 Alexander Soifer
+ Thirteenth Colorado Mathematical Olympiad: April 19, 1996 2011 Alexander Soifer
+ Introduction to Part II 2011 Alexander Soifer
+ Sixteenth Colorado Mathematical Olympiad: April 23, 1999 2011 Alexander Soifer
+ First Colorado Mathematical Olympiad: April 27, 1984 2011 Alexander Soifer
+ Fourth Colorado Mathematical Olympiad: April 17, 1987 2011 Alexander Soifer
+ E2. Chromatic Number of the Plane (My Favorite Open Problem) 2011 Alexander Soifer
+ Twentieth Colorado Mathematical Olympiad: April 18, 2003 2011 Alexander Soifer
+ Fifteenth Colorado Mathematical Olympiad: April 24, 1998 2011 Alexander Soifer
+ E18. Finite Sets of Infinite Fun: Three Classic Problems 2011 Alexander Soifer
+ E15. From Squares in a Square to Clones in Convex Figures 2011 Alexander Soifer
+ E14. Squares in Square: The 1932 ErdƑs Conjecture 2011 Alexander Soifer
+ Chromatic Number of the Plane & Its Relatives, History, Problems and Results: An Essay in 11 Parts 2010 Alexander Soifer
+ Ramsey Theory Before Ramsey, Prehistory and Early History: An Essay in 13 Parts 2010 Alexander Soifer
+ Open Problems Session 2010 Alexander Soifer
+ Ramsey Theory 2010 Alexander Soifer
+ Etude on the Chromatic Number of the Plane 2010 Alexander Soifer
+ Ideas of Combinatorial Geometry 2010 Alexander Soifer
+ Mitya Karabash and a Tiling Conjecture 2010 Alexander Soifer
+ Large Progress in Small Ramsey Numbers 2010 Alexander Soifer
+ The Borsuk Problem Conquered 2010 Alexander Soifer
+ Geometric etudes in combinatorial mathematics / Alexander Soifer 2010 Alexander Soifer
+ Geometric Etudes in Combinatorial Mathematics 2010 Alexander Soifer
+ Farewell to the Reader 2009 Alexander Soifer
+ Convex Figures and ErdƑos’ Function S α (F) 2009 Alexander Soifer
+ Excursion in Trigonometry 2009 Alexander Soifer
+ MiklĂłs Laczkovich on Cutting Triangles 2009 Alexander Soifer
+ How Does One Cut a Triangle? II 2009 Alexander Soifer
+ Convex Figures and the Function S(F) 2009 Alexander Soifer
+ How Does One Cut a Triangle? 2009 Alexander Soifer
+ A Pool Table, Irrational Numbers, and Integral Independence 2009 Alexander Soifer
+ Matthew Kahle on the Five-Point Problem 2009 Alexander Soifer
+ An Alternative Proof of Grand Problem II 2009 Alexander Soifer
+ Geometry 2009 Alexander Soifer
+ Algebra 2009 Alexander Soifer
+ Numbers 2009 Alexander Soifer
+ How Does One Cut a Triangle? I 2009 Alexander Soifer
+ Excursions in Algebra 2009 Alexander Soifer
+ Chromatic Number of the Plane: An Historical Essay 2008 Alexander Soifer
+ Edge Colored Graphs: Ramsey and Folkman Numbers 2008 Alexander Soifer
+ A Story of Colored Polygons and Arithmetic Progressions 2008 Alexander Soifer
+ Kempe–Heawood’s Five-Color Theorem and Tait’s Equivalence 2008 Alexander Soifer
+ A Glimpse into the Future: Chromatic Number of the Plane, Theorems and Conjectures 2008 Alexander Soifer
+ Chromatic Number of a Graph 2008 Alexander Soifer
+ Ramsey Theory Before Ramsey: Schur’s Coloring Solution of a Colored Problem and Its Generalizations 2008 Alexander Soifer
+ 3-Colored Plane, 2-Colored Space, and Ramsey Sets 2008 Alexander Soifer
+ Monochromatic Polygons in a 2-Colored Plane 2008 Alexander Soifer
+ Continuum of 6-Colorings of the Plane 2008 Alexander Soifer
+ Polychromatic Number of the Plane and Results Near the Upper Bound 2008 Alexander Soifer
+ Ramsey Theory before Ramsey: Van der Waerden Tells the Story of Creation 2008 Alexander Soifer
+ Chromatic Number of the Plane: The Problem 2008 Alexander Soifer
+ De Bruijn–ErdƑs’s Theorem and Its History 2008 Alexander Soifer
+ How the Four-Color Conjecture Was Born 2008 Alexander Soifer
+ Measurable Chromatic Number of the Plane 2008 Alexander Soifer
+ Ramsey Theory Before Ramsey: Hilbert’s Theorem 2008 Alexander Soifer
+ Solution of an ErdƑs Problem: O’Donnell’s Theorem 2008 Alexander Soifer
+ A Quarter a Century of Discovering and Inspiring Young Gifted Mathematicians: All the Best from Colorado Mathematical Olympiad 2008 Alexander Soifer
+ Covering a square of side <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mi>Δ</mml:mi></mml:math> with unit squares 2005 Alexander Soifer
+ Axiom of choice and chromatic number of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math> 2005 Alexander Soifer
+ Axiom of choice and chromatic number: examples on the plane 2004 Alexander Soifer
Saharon Shelah
+ Axiom of choice and chromatic number of the plane 2003 Saharon Shelah
Alexander Soifer
+ PDF Chat Geometric Etudes in Combinatorial Mathematics. 1992 Don Chakerian
Vladimir G. Boltyanski
Alexander Soifer
+ How Does One Cut A Triangle? 1991 Murray S. Klamkin
Alexander Soifer
+ Solution of the irwin conjecture in gch 1987 Alexander Soifer
+ Countable â„”0-indecomposable mixed abelian groups of finite torsion-free rank 1986 Saharon Shelah
Alexander Soifer
+ Two problems onâ„”0-indecomposable Abelian Groups 1986 Saharon Shelah
Alexander Soifer
+ Countable â„”0-Indecomposable Mixed Abelian Groups of Torsion-Free Rank I 1984 Alexander Soifer
+ Countable Countably — Indecomposable Abelian Groups, n-Decomposable for Any Finite n 1983 Alexander Soifer
+ Countable countably — Indecomposable abelian groups, n-decomposable for any finite n 1983 Alexander Soifer
+ Criteria for the existence of irreducible systems of generators for Abelian groups 1974 Alexander Soifer
+ A theorem on direct expansions of Abelian groups 1973 Alexander Soifer
+ Abelian groups possessing irreducible systems of generators 1971 Alexander Soifer
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Axiom of choice and chromatic number of the plane 2003 Saharon Shelah
Alexander Soifer
9
+ The Colorado Mathematical Olympiad and Further Explorations 2011 Alexander Soifer
9
+ Old and New Unsolved Problems in Plane Geometry and Number Theory 1991 Victor Klee
Stan Wagon
7
+ A Model of Set-Theory in Which Every Set of Reals is Lebesgue Measurable 1970 Robert M Solovay
7
+ Unsolved Problems in Geometry 1991 H. T. Croft
K. J. Falconer
Richard K. Guy
6
+ Distances realized by sets covering the plane 1973 Douglas R. Woodall
6
+ Combinatorial problems in geometry and number theory 1979 Paul Erdös
5
+ Old and new problems and results in combinatorial number theory 1980 P. ErdƑs
Ronald Graham
5
+ Axiom of choice and chromatic number: examples on the plane 2004 Alexander Soifer
Saharon Shelah
4
+ Infinite Abelian groups 1970 L. Fuchs
4
+ On the space chromatic number 2002 Oren Nechushtan
4
+ The Scholar and the State: In Search of Van der Waerden 2014 Alexander Soifer
4
+ Unsolved problems in geometry 1991 H. T. Croft
K. J. Falconer
Richard K. Guy
4
+ All regular polytopes are Ramsey 2006 Kristal Cantwell
4
+ Old and New Unsolved Problems in Plane Geometry and Number Theory. 1992 Paul R. Halmos
Victor Klee
Stan Wagon
4
+ PDF Chat Abelian torsion groups having a minimal system of generators 1961 Samir A. Khabbaz
4
+ Geometric Etudes in Combinatorial Mathematics 2010 Alexander Soifer
4
+ The Colorado Mathematical Olympiad: The Third Decade and Further Explorations 2017 Alexander Soifer
4
+ The realization of distances in measurable subsets covering Rn 1981 K. J. Falconer
4
+ PDF Chat On the combinatorial problems which I would most like to see solved 1981 P. ErdƑs
4
+ Open Problems in Euclidean Ramsey Theory 2010 Ron Graham
Eric Tressler
4
+ PDF Chat On some problems of elementary and combinatorial geometry 1975 P. ErdƑs
4
+ Criteria for the existence of irreducible systems of generators for Abelian groups 1974 Alexander Soifer
4
+ The Colorado Mathematical Olympiad and Further Explorations: From the Mountains of Colorado to the Peaks of Mathematics 2011 Alexander Soifer
Philip L. Engel
4
+ How Does One Cut a Triangle? 2009 Alexander Soifer
3
+ PDF Chat Unit Distance Graphs with Ambiguous Chromatic Number 2009 Michael S. Payne
3
+ Ramsey Theory Before Ramsey, Prehistory and Early History: An Essay in 13 Parts 2010 Alexander Soifer
3
+ PDF Chat The Odd-Distance Plane Graph 2009 Hayri Ardal
Jån Maƈuch
Moshe Rosenfeld
Saharon Shelah
Ladislav Stacho
3
+ PDF Chat Some combinational problems in geometry 1980 Paul Erdös
3
+ PDF Chat Studien zur Kombinatorik 1933 Richard Rado
3
+ Old and New Problems and Results in Ramsey Theory 2008 Ron Graham
3
+ Axiom of choice and chromatic number of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math> 2005 Alexander Soifer
3
+ Ein kombinatorischer Satz der Elementargeometrie 1952 Ernst Witt
3
+ Three Pearls of Number Theory 1952 A. Ya. Khinchin
3
+ Realization of all distances in a decomposition of the space Rn into n+1 parts 1970 D. E. Raiskii
3
+ The Hadwiger–Nelson Problem 2016 Alexander Soifer
3
+ PDF Chat A Combinatorial Problem in Geometry 2009 P. ErdƑs
G. Szckeres
3
+ The realization of distances within sets in Euclidean space 1972 D. G. Larman
C. A. Rogers
3
+ PDF Chat Measurable Sets With Excluded Distances 2008 Boris Bukh
2
+ Euclidean ramsey theorems. I 1973 P. ErdƑs
Ronald Graham
Pettitt B. Montgomery
Bruce Rothschild
J. Spencer
E. G. Straus
2
+ On sets of integers containing no four elements in arithmetic progression 1969 Endre Szemerédi
2
+ On Certain Sets of Integers 1953 K. F. Roth
2
+ PDF Chat Polynomial extensions of van der Waerden’s and SzemerĂ©di’s theorems 1996 Vitaly Bergelson
A. Leibman
2
+ PDF Chat The chromatic number of the sphere 1976 Gustavus J. Simmons
2
+ Combinatorial Proofs of the Polynomial van der Waerden Theorem and the Polynomial Hales-Jewett Theorem 2000 Mark Walters
2
+ Problems and results in discrete mathematics 1994 Paul ErdƑs
2
+ Recent trends in Euclidean Ramsey theory 1994 Ron Graham
2
+ Intersection theorems with geometric consequences 1981 PĂ©ter Frankl
R. Wilson
2
+ Some new problems and results in Graph Theory and other branches of Combinatorial Mathematics 1981 Paul Erdös
2
+ Borsuk's problem and the chromatic numbers of some metric spaces 2001 А. М. Đ Đ°ĐčĐłĐŸŃ€ĐŸĐŽŃĐșĐžĐč
2