List of dissertations supervised by David Hilbert

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The following table contains a list of the dissertations supervised by David Hilbert in chronological order. At Hilbert, a total of 69 doctoral theses were completed in Göttingen from 1898 to 1933. Those dissertations for which Hilbert was only a second reviewer are not listed; these can also be found under " David Hilbert in the Mathematics Genealogy Project (English) Template: MathGenealogyProject / Maintenance / name used".

No. PhD candidate Title of the work Date of
graduation 		Publication, if necessary with associated
journal publication
1. Otto Blumenthal About the development of an arbitrary function according to the denominators of the continued fraction for . May 25, 1898 1898
2. Hans von Schaper On the theory of Hadamard's functions and their application to the problem of prime numbers. July 26, 1898 1898
3. Heinrich Dörrie The quadratic reciprocity law in the quadratic number field with the class number 1. July 29, 1898 1898
See: Acta Math. 1902, Vol. 26 (1), pp. 99-131 doi : 10.1007 / BF02415486
4th Michael Feldblum About elementary geometric constructions. July 12, 1899 1899
5. Fritz Beer Criteria for the irrationality of functional values. July 19, 1899 1899
6th Legh Wilber Reid Table of the number of classes for cubic number fields. July 28, 1899 1899
See: Acta Math. 1902, Vol. 26 (1), pp. 99-131 doi : 10.1007 / BF02415486
7th Anne Lucy Bosworth Justification of a route calculation independent of the parallels axiom. July 31, 1899 1899
8th. Max Dehn Legendre's theorems about the sum of angles in a triangle. Nov 8, 1899 1900
Math. Ann. Vol. 53, pp. 404-439. doi : 10.1007 / BF01448980
9. Karl Sigismund Hilbert The general quadratic reciprocity law in from selected circular fields of the 2 n -th roots of unity. Dec 1, 1899 1900
See: Acta Math. 1902, Vol. 26 (1), pp. 99-131 doi : 10.1007 / BF02415486
10. Sophus Marxsen About a general genus of irrational invariants and covariants for a binary form of odd order. March 5, 1900 1900
11. Lyubovy Sapolsky About the theory of the relative-Abelian cubic number fields. June 21, 1900 1902
12. Edgar Jerome Townsend About the concept and application of the double limit. July 12, 1900 1900
13. Gottfried Rückle Quadratic reciprocity laws in algebraic number fields. Jan. 22, 1901 1901
See: Acta Math. 1902, Vol. 26 (1), pp. 99-131 doi : 10.1007 / BF02415486
14th Earle Raymond Hedrick About the analytical character of the solutions to differential equations. Feb 20, 1901 1901
15th Felix Bernstein Investigations from set theory. March 2, 1901 1901
16. Charles Albert Noble A new method in the calculus of variations. May 14, 1901 1901
17th Werner Boy About the Curvatura integra ad topology of closed surfaces. June 19, 1901 1901
Math. Ann. 1903, Vol. 57 (2), pp. 151-184 doi : 10.1007 / BF01444342
18th Georg Hamel About the geometries in which the degrees are the shortest. June 24, 1901 1901
Math. Ann. 1903, Vol. 57 (2), pp. 231-264 doi : 10.1007 / BF01444348
19th Nadezhda Gernet Investigation of the calculus of variations. About a new method in the calculus of variations. July 28, 1901 1902
20th Otto customs Over areas with multitudes of closed lines (price writing). July 29, 1901 1901
Math. Ann. 1903, Vol. 57 (1) pp. 108-133 doi : 10.1007 / BF01449019
21st Johann Oswald Müller About the minimum property of the sphere. Feb. 24, 1902 1903
22nd Georg Lütkemeyer About the analytical character of the integrals of partial differential equations. May 9, 1902 1902
23. Paul Kirchberger About Tchebychef approaches. July 17, 1902 1902
Math. Ann. 1903, Vol. 57 (4) pp. 509-540 doi : 10.1007 / BF01445182
24. Oliver Kellogg On the theory of integral equations and Dirichlet's principle. Nov 24, 1902 1902
25th Rudolf Fueter The class field of the quadratic fields and the complex multiplication. February 23, 1903 1903:
26th Charles Max Mason Boundary value problems in ordinary differential equations. April 24, 1903 1903
27. Albert Kraft About whole transcendent functions of infinitely high order. June 17, 1903 1903
28. Albert Andrae Aid for a general theory of the linear elliptic differential equation of the 2nd order. June 26, 1903 1903
29 Walther Lietzmann About the biquadratic reciprocity law in algebraic number fields. Oct. 29, 1903 1904
30th Erhard Schmidt Development of arbitrary functions according to systems prescribed. June 29, 1905 1905
31. Wilhelmus David Allen Westfall On the theory of integral equations. July 19, 1905 1905
32. Hugo Kistler About functions of several complex variables. July 26, 1905 1905
33. Alexander Myller Ordinary higher-order differential equations in relation to the integral equations. May 2, 1906 1906
34. David Clinton Gillespie Applications of the theorem of independence to the solution of the differential equations of the calculus of variations. July 25, 1906 1906
35. Wera Lebedeff The theory of integral equations applied to some series expansion. Oct. 24, 1906 1906
36. Arthur Robert Crathorne The spatial isoperimetric problem. Feb 21, 1907 1907
37. Ugo Broggi The axioms of probability. May 8, 1907 1907
38. Charles Haseman Application of the theory of integral equations to some boundary value problems in function theory. June 28, 1907 1907
39. William Deweese Cairns The application of the integral equations to the second variation in isoperimetric problems. July 3, 1907 1907
40. Robert King Oscillation properties of the eigenfunctions of the integral equation with a definite kernel and the Jacobian criterion of the calculus of variations. July 10, 1907 1907
41. Ernst Hellinger The orthogonal variants of quadratic forms of infinitely many variables. July 17, 1907 1907
42. Hermann Weyl Singular integral equations with special consideration of Fourier's integral theorem. Feb 12, 1908 1908
Math. Ann. 1908, Vol. 66 (3) pp. 273-324 doi : 10.1007 / BF01450690
43. Andreas Speiser On the theory of binary quadratic forms with coefficients and indeterminates in any number field. March 3, 1909 1909
44. Alfréd hair On the theory of orthogonal function systems. June 16, 1909 1909
Math. Ann. 1910, Vol. 69 (3) pp. 331-371 doi : 10.1007 / BF01456326
45. Margarete Kahn A general method of studying the shapes of algebraic curves. June 30, 1909 1909
46. Klara Löbenstein About the proposition that a flat, algebraic curve of the 6th order with 11 mutually exclusive ovals does not exist. June 30, 1909 1910
47. Richard Courant About the application of Dirichlet's principle to the problems of conformal mapping. Feb 16, 1910 1910
Math. Ann. 1911, Vol. 71 (2) pp. 145-183 doi : 10.1007 / BF01456646
48. Erich Hecke On the theory of the modular functions of two variables and their application to number theory. March 3, 1910 1910
See Math. Ann. Vol. 71, pp. 1-37 doi : 10.1007 / BF01456926
49. Kurt Grelling The axioms of arithmetic with special consideration of the relations to set theory. June 8, 1910 1910
50. Wallie Abraham Hurwitz Boundary value problems in systems of linear partial differential equations of the first order. July 13, 1910 1910
51. Johannes Otto Mühlendyck Classification of the regularly symmetrical surfaces of the fifth order. December 7, 1910 1911
52. Hugo Steinhaus New applications of Dirichlet's principle. May 10, 1911 1911
53. Paul Funk Over areas with nothing but closed geodetic lines. May 22, 1911 1911
Math. Ann. 1913, Vol. 74 (2) pp. 278-300 doi : 10.1007 / BF01456044
54. Ludwig Föppl Stable arrangements of electrons in the atom March 1, 1912 1912
Excerpt in: Journ. Pure Applied Math. Vol. 141 pp. 251-302.
55. Gerhard Janssen About the introduction of affine and equiform geometry by definition on the basis of the axioms of connections. Feb. 19, 1913 1913
56. Hans Bolza Application of the theory of integral equations to electron theory and the theory of dilute gases. July 2, 1913 1913
57. Jakob Grommer Whole transcendent functions with all real zeros. July 16, 1913 1914
Journ. Pure Applied Math. Vol. 144 pp. 114–166.
58. Bernhard Baule Theoretical treatment of the phenomena in dilute gases. Feb. 18, 1914 1914
Ann. Phys. F. 4 vol. 44 doi : 10.1002 / andp.19143490908
59. Kurt Schellenberg Application of the integral equations to the theory of electrolysis. June 24, 1914 1915
Abridged in: Ann. Phys. F. 4 vol. 47. doi : 10.1002 / andp.19153520904
60. Georg Prange The Hamilton-Jacobian theory for double integrals (with an overview of the theory for simple integrals). Dec 21, 1914 1915
61. Heinrich Behmann The antinomy of the transfinite number and its resolution by the theory of Russell and Whitehead. June 5, 1918 1922
62. Willi Windau About fourth order linear differential equations with singularities and the associated representations of arbitrary functions. July 7, 1920 1921
Math. Ann. 1921 vol. 83 pp. 256-279 doi : 10.1007 / BF01458384
63. Hellmuth Kneser Investigations on quantum theory. March 2, 1921 1921
Math. Ann. 1921 vol. 84 pp. 277-302 doi : 10.1007 / BF01459411
64. Walther Rosemann The structure of planar geometry without the axiom of symmetry. December 11, 1922 1923
Math. Ann. 1923, Vol. 90 (1) pp. 108-128 doi : 10.1007 / BF01456245
65. Wilhelm Ackermann Justification of the "tertium non datur" using Hilbert's theory of consistency. Aug 4, 1924 1925
Math. Ann. 1925 Vol. 93 pp. 1–36 doi : 10.1007 / BF01449946
66. Gabriel Sudan About the ordered sets. July 20, 1925 1925
Buletinul de Stințe Matematice pure și aplicate. Anul 28.
67. Haskell Brooks Curry Basics of combinatorial logic. June 24, 1929 1930
American Journ. of Math. 1930 Vol. 52 pp. 509-536 doi : 10.2307 / 2370619 JSTOR 2370619 , pp. 789-834 doi : 10.2307 / 2370716

JSTOR 2370716

68. Arnold Schmidt The derivation of the reflection from the plane movement. July 20, 1932 1934
Math. Ann. 1934 vol. 109 pp. 538-571 doi : 10.1007 / BF01449154
69. Kurt Schütte Investigations into the decision problem of mathematical logic. May 10, 1933 1934
Math. Ann. Vol. 109 pp. 572-603 doi : 10.1007 / BF01449155

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References and comments

  1. ↑ The list of publications does not claim to be complete.