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D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 36 2681 2397 60 55 186 4492

Alan L. Carey publications per year

The chart shows the history of publications by Alan L. Carey between 1973 and 2023, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Alan L. Carey published across 51 years, from 1973 to 2023, averaging 3.9 papers a year. Output peaked at 10 publications in 2016. 9 of the 200 publications appeared in the last two years.

No. of publications
2 4 6 8 10
Bar chart. Horizontal axis: year, 1973 to 2023. Vertical axis: number of publications, 0 to 10. Peak 10 publications in 2016. 1973: 1 publication 1974: 0 publications 1975: 0 publications 1976: 1 publication 1977: 3 publications 1978: 4 publications 1979: 1 publication 1980: 0 publications 1981: 2 publications 1982: 2 publications 1983: 6 publications 1984: 4 publications 1985: 4 publications 1986: 4 publications 1987: 5 publications 1988: 1 publication 1989: 4 publications 1990: 5 publications 1991: 4 publications 1992: 4 publications 1993: 3 publications 1994: 1 publication 1995: 7 publications 1996: 7 publications 1997: 5 publications 1998: 7 publications 1999: 6 publications 2000: 6 publications 2001: 2 publications 2002: 3 publications 2003: 3 publications 2004: 6 publications 2005: 2 publications 2006: 9 publications 2007: 4 publications 2008: 8 publications 2009: 6 publications 2010: 5 publications 2011: 7 publications 2012: 3 publications 2013: 5 publications 2014: 2 publications 2015: 5 publications 2016: 10 publications 2017: 3 publications 2018: 3 publications 2019: 1 publication 2020: 1 publication 2021: 6 publications 2022: 8 publications 2023: 1 publication
1973 2023

200 publications in total across all disciplines

View publications per year as a table
Alan L. Carey: publications per year, 1973 to 2023
Year Publications
1973 1
1974 0
1975 0
1976 1
1977 3
1978 4
1979 1
1980 0
1981 2
1982 2
1983 6
1984 4
1985 4
1986 4
1987 5
1988 1
1989 4
1990 5
1991 4
1992 4
1993 3
1994 1
1995 7
1996 7
1997 5
1998 7
1999 6
2000 6
2001 2
2002 3
2003 3
2004 6
2005 2
2006 9
2007 4
2008 8
2009 6
2010 5
2011 7
2012 3
2013 5
2014 2
2015 5
2016 10
2017 3
2018 3
2019 1
2020 1
2021 6
2022 8
2023 1
Total 200
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Alan L. Carey 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 Alan L. Carey 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, 182–186 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: 186 publications — 56th percentile

56% 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
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78 186
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
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Alan L. Carey 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 Alan L. Carey 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, 36 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: 36 D-Index — 29th percentile

29% 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 36
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
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
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Research.com Recognitions

  • 2014 - Fellow of the Australian Academy of Science

Overview

Alan L. Carey is affiliated with the Australian National University in Australia and has contributed extensively to the fields of Mathematics, Computer Science, and Physics and Astronomy. Their research focuses on subfields such as Mathematical Physics, Applied Mathematics, Computational Theory and Mathematics, Atomic and Molecular Physics and Optics, and Geometry and Topology.

The scientist has published numerous works in topics including Spectral Theory in Mathematical Physics, Advanced Operator Algebra Research, Matrix Theory and Algorithms, Topological Materials and Phenomena, Holomorphic and Operator Theory, Mathematical Analysis and Transform Methods, and Quantum many-body systems.

Recent publications by Alan L. Carey include:

  • The KO-valued spectral flow for skew-adjoint Fredholm operators, 2020, Journal of Topology and Analysis
  • The Witten index and the spectral shift function, 2022, Reviews in Mathematical Physics
  • The product formula for regularized Fredholm determinants, 2021, Proceedings of the American Mathematical Society Series B
  • The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators, 2021, arXiv (Cornell University)
  • On a conjectured property of the Witten index and an application to Levinson's theorem, 2023, arXiv (Cornell University)

Frequent co-authors include Galina Levitina, Fedor Sukochev, Fritz Gesztesy, Dmitriy Zanin, and Roger Nichols.

Alan L. Carey has also contributed to book publications:

  • The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators, published by Memoirs of the European Mathematical Society, 2023
  • Index Theory Beyond the Fredholm Case, published by Springer Nature, 2022

Publications have appeared in various venues, notably arXiv (Cornell University), Journal of Topology and Analysis, Reviews in Mathematical Physics, and Proceedings of the American Mathematical Society Series B.

Alan L. Carey was awarded the title of Fellow of the Australian Academy of Science in 2014.

Best Publications

  • Twisted K-theory and K-Theory of Bundle Gerbes

    Peter Bouwknegt;Alan L. Carey;Varghese Mathai;Michael K. Murray

  • UNBOUNDED FREDHOLM MODULES AND SPECTRAL FLOW

    Alan L. Carey;John Phillips

  • On fermion gauge groups, current algebras and Kac-Moody algebras

    A. L. Carey;S. N. M. Ruijsenaars

  • Spectral flow and Dixmier traces

    Alan Carey;John Phillips;Fedor A Sukochev

  • Bundle Gerbes for Chern-Simons and Wess-Zumino-Witten Theories

    Alan L. Carey;Stuart Johnson;Michael K. Murray;Danny Stevenson

  • The local index formula in semifinite Von Neumann algebras I: Spectral flow

    Alan Carey;John Phillips;Adam Charles Rennie;Fedor A Sukochev

  • Holonomy on D-branes

    Alan L. Carey;Stuart Johnson;Michael K. Murray

  • Operator Integrals, Spectral Shift, and Spectral Flow

    N A Azamov;Alan Carey;Peter Dodds;Fedor A Sukochev

  • Spectral flow in Fredholm modules, eta invariants and the JLO cocycle

    Alan L. Carey;John Phillips

  • Quantum Hall Effect on the Hyperbolic Plane

    Alan L. Carey;Keith Hannabuss;Varghese Mathai;P. J. McCann

  • The local index formula in semifinite von Neumann algebras II: the even case

    Alan Carey;John Phillips;Adam Charles Rennie;Fedor A Sukochev

  • INDEX THEORY, GERBES, AND HAMILTONIAN QUANTIZATION

    Alan L. Carey;Michael K. Murray;Jouko Mickelsson

  • A noncommutative framework for topological insulators

    Chris Bourne;Alan L. Carey;Adam Rennie

  • Index Theory for Locally Compact Noncommutative Geometries

    Alan Carey;V. Gayral;Adam Rennie;Fedor A Sukochev

  • General Existence Theorems for Orthonormal Wavelets, an Abstract Approach

    Larry Baggett;Alan L. Carey;William Moran;Peter Ohring

  • Automorphisms of the Canonical Anticommutation Relations and Index Theory

    Alan L. Carey;Charles Angas Hurst;D.M. O'Brien

  • The Dixmier trace and asymptotics of zeta functions

    Alan Carey;Adam Charles Rennie;Aleksandr Sedaev;Fedor A Sukochev

  • The Hochschild class of the Chern character for semifinite spectral triples

    Alan Carey;John Phillips;Adam Charles Rennie;Fedor A Sukochev

  • Quantum Hall Effect on the Hyperbolic Plane

    A. Carey;K. Hannabus;V. Mathai;P. McCann

  • Thom isomorphism and push-forward map in twisted K-theory

    Alan L. Carey;Bai-Ling Wang

  • BUNDLE GERBES APPLIED TO QUANTUM FIELD THEORY

    Alan L. Carey;Jouko Mickelsson;Michael K. Murray

Frequent Co-Authors

Fedor Sukochev
Fedor Sukochev University of New South Wales
Fritz Gesztesy
Fritz Gesztesy Baylor University
Varghese Mathai
Varghese Mathai University of Adelaide
Harald Grosse
Harald Grosse University of Vienna
Matilde Marcolli
Matilde Marcolli California Institute of Technology
Thierry Coulhon
Thierry Coulhon PSL University
Ruibin Zhang
Ruibin Zhang University of Sydney
Ole E. Barndorff-Nielsen
Ole E. Barndorff-Nielsen Aarhus University
Michael Cowling
Michael Cowling University of New South Wales
Peter G. Taylor
Peter G. Taylor University of Melbourne

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