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Ernie G. Kalnins

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 44 1624 1404 6 6 159 5693

Ernie G. Kalnins publications per year

The chart shows the history of publications by Ernie G. Kalnins between 1972 and 2020, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Ernie G. Kalnins published across 49 years, from 1972 to 2020, averaging 3.2 papers a year. Output peaked at 7 publications in 1978. 3 of the 159 publications appeared in the last two years.

No. of publications
2 4 6
Bar chart. Horizontal axis: year, 1972 to 2020. Vertical axis: number of publications, 0 to 7. Peak 7 publications in 1978. 1972: 1 publication 1973: 4 publications 1974: 3 publications 1975: 6 publications 1976: 5 publications 1977: 4 publications 1978: 7 publications 1979: 1 publication 1980: 4 publications 1981: 4 publications 1982: 5 publications 1983: 3 publications 1984: 2 publications 1985: 5 publications 1986: 4 publications 1987: 3 publications 1988: 1 publication 1989: 4 publications 1990: 2 publications 1991: 6 publications 1992: 7 publications 1993: 2 publications 1994: 5 publications 1995: 0 publications 1996: 3 publications 1997: 3 publications 1998: 1 publication 1999: 5 publications 2000: 4 publications 2001: 3 publications 2002: 6 publications 2003: 2 publications 2004: 4 publications 2005: 6 publications 2006: 3 publications 2007: 6 publications 2008: 4 publications 2009: 1 publication 2010: 5 publications 2011: 4 publications 2012: 4 publications 2013: 1 publication 2014: 0 publications 2015: 1 publication 2016: 2 publications 2017: 0 publications 2018: 0 publications 2019: 0 publications 2020: 3 publications
1972 2020

159 publications in total across all disciplines

View publications per year as a table
Ernie G. Kalnins: publications per year, 1972 to 2020
Year Publications
1972 1
1973 4
1974 3
1975 6
1976 5
1977 4
1978 7
1979 1
1980 4
1981 4
1982 5
1983 3
1984 2
1985 5
1986 4
1987 3
1988 1
1989 4
1990 2
1991 6
1992 7
1993 2
1994 5
1995 0
1996 3
1997 3
1998 1
1999 5
2000 4
2001 3
2002 6
2003 2
2004 4
2005 6
2006 3
2007 6
2008 4
2009 1
2010 5
2011 4
2012 4
2013 1
2014 0
2015 1
2016 2
2017 0
2018 0
2019 0
2020 3
Total 159
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Ernie G. Kalnins publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Ernie G. Kalnins sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 157–161 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 159 publications — 43rd percentile

43% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106 159
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Ernie G. Kalnins D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Ernie G. Kalnins sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 44 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 44 D-Index — 58th percentile

58% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115 44
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Overview

Ernie G. Kalnins is affiliated with the University of Waikato in New Zealand. Their research primarily spans the field of Physics and Astronomy, with a focus on specialized subfields including Atomic and Molecular Physics, and Optics, as well as Statistical and Nonlinear Physics.

The main topics covered in their research include:

  • Advanced Fiber Laser Technologies
  • Quantum Mechanics and Non-Hermitian Physics
  • Nonlinear Waves and Solitons

Among recent scholarly contributions, Ernie G. Kalnins co-authored a publication titled Toward Classification of 2nd Order Superintegrable Systems in 3-Dimensional Conformally Flat Spaces with Functionally Linearly Dependent Symmetry Operators in 2020. This work was published in the journal Symmetry Integrability and Geometry Methods and Applications.

Their frequent coauthors include:

  • Bjorn K. Berntson
  • Willard Miller

Ernie G. Kalnins' research has appeared predominantly in the venue Symmetry Integrability and Geometry Methods and Applications. This reflects a focus on areas related to mathematical physics and integrability.

Best Publications

  • Completeness of superintegrability in two-dimensional constant-curvature spaces

    E. G. Kalnins;J. M. Kress;G. S. Pogosyan;Willard Miller

  • Superintegrable systems in Darboux spaces

    E. G. Kalnins;J. M. Kress;Willard Miller;P. Winternitz

  • The Group $O(4)$, Separation of Variables and the Hydrogen Atom

    E. G. Kalnins;W. Miller;P. Winternitz

  • Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions

    Ernie G. Kalnins;W. Miller;G.S. Pogosyan

  • Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations

    E. G. Kalnins;Willard Miller

  • Symmetry and separation of variables for the Helmholtz and Laplace equations

    C. P. Boyer;C. P. Boyer;C. P. Boyer;E. G. Kalnins;E. G. Kalnins;E. G. Kalnins;Willard Miller

  • Superintegrability in a two-dimensional space of non-constant curvature

    E. G. Kalnins;J. M. Kress;P. Winternitz

  • Second order superintegrable systems in conformally flat spaces. III. Three-dimensional classical structure theory

    Ernie G. Kalnins;Jonathan M. Kress;W. Miller

  • Superintegrability in a two-dimensional space of nonconstant curvature

    Ernie G. Kalnins;Jonathan M. Kress;P. Winternitz

  • Second order superintegrable systems in conformally flat spaces. II. The classical two-dimensional Stäckel transform

    Ernie G. Kalnins;Jonathan M. Kress;W. Miller

  • Separation of variables on n‐dimensional Riemannian manifolds. I. The n‐sphere Sn and Euclidean n‐space Rn

    Ernie G. Kalnins;W. Miller

  • Completeness of multiseparable superintegrability on the complex 2-sphere

    E G Kalnins;W Miller;G S Pogosyan

  • Second-order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systems

    Ernie G. Kalnins;Jonathan M. Kress;W. Miller

  • Killing Tensors and Nonorthogonal Variable Separation for Hamilton–Jacobi Equations

    E. G. Kalnins;Willard Miller

  • Wilson polynomials and the generic superintegrable system on the 2-sphere

    E. G. Kalnins;Willard Miller;S. Post

  • Second order superintegrable systems in conformally flat spaces. IV. The classical 3D Stäckel transform and 3D classification theory

    Ernie G. Kalnins;Jonathan M. Kress;W. Miller

  • Coulomb-oscillator duality in spaces of constant curvature

    E. G. Kalnins;Willard Miller;G. S. Pogosyan

  • Sta¨kel equivalent integrable Hamiltonian systems

    C P Boyer;E G Kalnins;W Miller

  • Superintegrability in three-dimensional Euclidean space

    Ernie G. Kalnins;G.C. Williams;W. Miller;G.S. Pogosyan

  • Completeness of multiseparable superintegrability in E2,C

    E G Kalnins;W Miller;G S Pogosyan

  • Lie theory and separation of variables. 6. The equation iUt + Δ2U = 0

    C.P. Boyer;Ernie G. Kalnins;W. Miller

Frequent Co-Authors

Willard Miller
Willard Miller University of Minnesota
Pavel Winternitz
Pavel Winternitz University of Montreal
Charles P. Boyer
Charles P. Boyer University of New Mexico
Jiri Patera
Jiri Patera University of Montreal

External Links

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Best Scientists Citing Ernie G. Kalnins

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Publications: 69

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Publications: 56

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Angel Ballesteros

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Publications: 36

Francisco J. Herranz

Francisco J. Herranz

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Publications: 29

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Orlando Ragnisco

Roma Tre University

Publications: 22

Alexei Zhedanov

Alexei Zhedanov

Euler International Mathematical Institute

Publications: 19

Mariano Santander

Mariano Santander

University of Valladolid

Publications: 18

José F. Cariñena

José F. Cariñena

University of Zaragoza

Publications: 13

Vincenzo Aquilanti

Vincenzo Aquilanti

University of Perugia

Publications: 9

Jiri Patera

Jiri Patera

University of Montreal

Publications: 9

Charles P. Boyer

Charles P. Boyer

University of New Mexico

Publications: 6

Eric Ragoucy

Eric Ragoucy

Centre national de la recherche scientifique, CNRS

Publications: 4

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John Harnad

University of Montreal

Publications: 4

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