Network-based indices of individual and collective advising impacts in mathematics

Computational Social Networks

Table 4 Top 25 individuals ranked by the \(a_2\)-index (left) and adjusted \(a_2\)-index (right)

Name	Year	\(a_2\)-index	Name	Year	Adj. \(a_2\)-index
David Hilbert	1885	1099.72	David Hilbert	1885	949.74
C. Felix Klein	1868	1016.04	C. Felix Klein	1868	873.30
C. L. Ferdinand Lindemann	1873	907.25	C. L. Ferdinand Lindemann	1873	780.80
Erhard Schmidt	1905	667.56	E. H. Moore	1885	597.00
E. H. Moore	1885	639.77	Erhard Schmidt	1905	550.32
Ernst Eduard Kummer	1831	636.78	Ernst Eduard Kummer	1831	535.59
K.T.W. Weierstrass	1841	575.10	K.T.W. Weierstrass	1841	484.32
Julius Plucker	1823	522.36	Solomon Lefschetz	1911	466.55
Solomon Lefschetz	1911	510.06	Julius Plucker	1823	449.19
R. O. S. Lipschitz	1853	508.52	R. O. S. Lipschitz	1853	436.90
Oswald Veblen	1903	474.34	Oswald Veblen	1903	431.94
Richard Courant	1910	458.12	Richard Courant	1910	400.25
Heinz Hopf	1925	446.18	George David Birkhoff	1907	388.12
George David Birkhoff	1907	415.53	Heinz Hopf	1925	349.33
Jacques-Louis Lions	1954	385.92	Nikolai Nikolayevich Luzin	1915	335.95
Nikolai Nikolayevich Luzin	1915	366.49	Jacques-Louis Lions	1954	329.44
Simeon Denis Poisson	1800	362.25	A. N. Kolmogorov	1925	326.89
A. N. Kolmogorov	1925	361.89	Simeon Denis Poisson	1800	320.97
Ferdinand Georg Frobenius	1870	354.50	Gaston Darboux	1866	311.96
Gaston Darboux	1866	346.64	Michel Chasles	1814	309.62
Michel Chasles	1814	337.36	H. A. Newton	1850	301.44
G. P. L. Dirichlet	1827	335.53	Ferdinand Georg Frobenius	1870	294.73
Ludwig Bieberbach	1910	334.29	C. Emile Picard	1877	287.67
Edmund Landau	1899	330.46	G. P. L. Dirichlet	1827	283.56
H. A. Newton	1850	323.17	Edmund Landau	1899	280.94