Alexander Murray Macbeath
#163,408
Most Influential Person Now
British mathematician
Alexander Murray Macbeath's AcademicInfluence.com Rankings
Alexander Murray Macbeathmathematics Degrees
Mathematics
#7838
World Rank
#10644
Historical Rank
Measure Theory
#2768
World Rank
#3306
Historical Rank

Download Badge
Mathematics
Why Is Alexander Murray Macbeath Influential?
(Suggest an Edit or Addition)According to Wikipedia, Alexander Murray Macbeath was a mathematician who worked on Riemann surfaces. Macbeath surfaces and Macbeath regions are named after him. Early life and education Macbeath was the son of Alexander Macbeath, a philosopher and logician who took a position at Queen's University Belfast in 1925, soon after Murray was born. Murray also studied at Queen's University, where he earned a B.A. with honours.
Alexander Murray Macbeath'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
- The Classification of Non-Euclidean Plane Crystallographic Groups (1967) (201)
- Generators of the linear fractional groups (1969) (165)
- On a Theorem of Hurwitz (1961) (127)
- On a Curve of Genus 7 (1965) (91)
- On the Measure of Sum‐Sets. (I) The Theorems of Brunn, Minkowski, and Lusternik (1953) (80)
- GROUPS OF HOMEOMORPHISMS OF A SIMPLY CONNECTED SPACE (1964) (73)
- A Compactness Theorem For Affine Equivalence-Classes of Convex Regions (1951) (72)
- Action of Automorphisms of a Compact Riemann Surface on the First Homology Group (1973) (72)
- Spaces of Subgroups and Teichmüller Space (1975) (67)
- An extremal property of the hypersphere (1951) (64)
- A THEOREM ON NON-HOMOGENEOUS LATTICES' (1952) (37)
- On measure of sum sets II. The sum-theorem for the torus (1953) (32)
- STUDIES IN GLOBAL GEOMETRY AND ANALYSIS (1970) (31)
- On the set of generators of a subgroup (1959) (25)
- Siegel's mean value theorem in the geometry of numbers (1958) (22)
- Commensurability of co-compact three-dimensional hyperbolic groups (1983) (22)
- Packings, free products and residually finite groups (1963) (19)
- Hurwitz Groups and Surfaces (1999) (18)
- Limits of Lattices in a Compactly Generated Group (1960) (15)
- Geometrical realization of isomorphisms between plane groups (1965) (14)
- Groups of hyperbolic crystallography (1976) (13)
- ON A THEOREM BY J. NIELSEN (1962) (12)
- DISCRETE SUBGROUPS OF LIE GROUPS (1974) (11)
- Factorization of Matrices and Minkowski's Conjecture (1961) (11)
- A modified form of Siegel's mean-value theorem (1955) (11)
- A new sequence of minima in the geometry of numbers (1951) (10)
- Centralizers of reflections in crystallographic groups (1982) (9)
- On the Measure of Product Sets in a Topological Group (1960) (9)
- Residual nilpotency of Fuchsian groups (1984) (9)
- Elementary Vector Algebra (1964) (8)
- Extensions of the Rationals with Galois Group Pgl(2,Zn) (1969) (8)
- The volume of a certain set of matrices (1959) (7)
- Generic Dirichlet polygons and the modular group (1985) (7)
- Measures in homogeneous spaces (1960) (7)
- Abstract theory of packings and coverings. I. (1959) (4)
- The finite-volume theorem for non-homogeneous lattices (1951) (4)
- PACKING AND COVERING (1965) (2)
- On Convex Fundamental Regions for a Lattice (1961) (2)
- Superimprimitive 2-generator finite groups (1987) (2)
- Non‐Homogeneous Linear Forms (1948) (1)
- A criterion for differentiability (1956) (1)
- NON-HOMOGENEOUS LATTICES IN THE PLANE (1952) (1)
- The Exponent of Convergence of Poincaré Series (1976) (1)
- Group accounts and holding companies (1951) (1)
- The Minimum of An Indefinite Binary Quadratic Form (1947) (0)
- On Measure of Sum Sets III (1964) (0)
- On Measure of Sumsets (1961) (0)
- T. M. Apostol Mathematical Analysis (Addison-Wesley, Reading, Mass., 1957), 553 pp., 76s. (1959) (0)
- THEORY OF PACKINGS AND COVERINGS. II (2009) (0)
- On a theorem by N. Nielsen (1965) (0)
- 2138. Rational plane quintics with three cusp (1950) (0)
- I. Niven, Irrational Numbers (Cars Mathematical Monographs No. 11, 1956), 164 pp., 24s. (1960) (0)
- XVII.—Inherited Measures (1960) (0)
- Non-convex regions in three and more dimensions (1949) (0)
- Introduction to measure and probability by J. F. C. Kingman and S.J. Taylor. Cambridge, England, 1966. x +401 pages. (1968) (0)
- THE HAAR INTEGRAL (1967) (0)
- G. L. Watson, Integral Quadratic Forms (Cambridge, 1960), pp. viii + 143, 30s. (1961) (0)
- THE FUNDAMENTAL GROUPS OF CERTAIN SUBGROUP SPACES (1974) (0)
- Depreciation and renewal of assets having fluctuating values (1948) (0)
- Erratum: “Commensurability of co-compact three-dimensional hyperbolic manifolds,” vol. 50 (1983) pp. 1245–1253 (1988) (0)
- A. Y. Khinchin, Three Pearls of Number Theory (Graylock Press, Rochester, N.Y., 1956), $2.00, 64 pp., 16s. (1959) (0)
- TOPOLOGY ON SPACES OF HOLOMORPHIC MAPPINGS (1971) (0)
- E. J. Mcshane, and T. Botts, Real Analysis (van Nostrand, 1959), 272 pp., 49s. 6d. (1961) (0)
This paper list is powered by the following services:
Other Resources About Alexander Murray Macbeath
What Schools Are Affiliated With Alexander Murray Macbeath?
Alexander Murray Macbeath is affiliated with the following schools: