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Christian M. Hafner

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 36 2668 2384 36 35 145 4740

Christian M. Hafner publications per year

The chart shows the history of publications by Christian M. Hafner between 1995 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Christian M. Hafner published across 31 years, from 1995 to 2025, averaging 7.8 papers a year. Output peaked at 36 publications in 2023. 12 of the 243 publications appeared in the last two years.

No. of publications
10 20 30
Bar chart. Horizontal axis: year, 1995 to 2025. Vertical axis: number of publications, 0 to 36. Peak 36 publications in 2023. 1995: 1 publication 1996: 7 publications 1997: 1 publication 1998: 5 publications 1999: 2 publications 2000: 2 publications 2001: 5 publications 2002: 1 publication 2003: 6 publications 2004: 23 publications 2005: 5 publications 2006: 10 publications 2007: 3 publications 2008: 8 publications 2009: 9 publications 2010: 3 publications 2011: 11 publications 2012: 8 publications 2013: 5 publications 2014: 10 publications 2015: 19 publications 2016: 9 publications 2017: 9 publications 2018: 6 publications 2019: 4 publications 2020: 6 publications 2021: 7 publications 2022: 10 publications 2023: 36 publications 2024: 6 publications 2025: 6 publications
1995 2025

243 publications in total across all disciplines

View publications per year as a table
Christian M. Hafner: publications per year, 1995 to 2025
Year Publications
1995 1
1996 7
1997 1
1998 5
1999 2
2000 2
2001 5
2002 1
2003 6
2004 23
2005 5
2006 10
2007 3
2008 8
2009 9
2010 3
2011 11
2012 8
2013 5
2014 10
2015 19
2016 9
2017 9
2018 6
2019 4
2020 6
2021 7
2022 10
2023 36
2024 6
2025 6
Total 243
Download as CSV

Christian M. Hafner 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 Christian M. Hafner 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, 142–146 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: 145 publications — 35th percentile

35% 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
142–146 112 145
147–151 102
152–156 88
157–161 106
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

Christian M. Hafner 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 Christian M. Hafner 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
Download as CSV

Overview

Christian M. Hafner is affiliated with Université Catholique de Louvain in Belgium. Their research spans the fields of Economics, Econometrics, and Finance, with a total of 49 publications within these areas. The main subfields they work in include Economics and Econometrics, Finance, General Economics, Econometrics and Finance, Information Systems, and Management Science and Operations Research.

The scientific contributions of Christian M. Hafner cover various topics, particularly focusing on Financial Risk and Volatility Modeling, Market Dynamics and Volatility, Complex Systems and Time Series Analysis, Financial Markets and Investment Strategies, Monetary Policy and Economic Impact, Blockchain Technology Applications and Security, and Art History and Market Analysis.

Their frequent publication venues are:

  • SSRN Electronic Journal
  • Journal of Business and Economic Statistics
  • Journal of Econometrics
  • Journal of Risk and Financial Management
  • International Journal of Environmental Research and Public Health

Christian M. Hafner has collaborated regularly with several co-authors, including:

  • Helmut Herwartz
  • Linqi Wang
  • Oliver B. Linton
  • Fabian Bocart
  • Markus J. Fülle

Among their recent papers are:

  • The Spread of the Covid-19 Pandemic in Time and Space, 2020, International Journal of Environmental Research and Public Health
  • Identification of Structural Multivariate GARCH Models, 2020, Journal of Econometrics
  • A Dynamic Conditional Score Model for the Log Correlation Matrix, 2021, Journal of Econometrics
  • Alternative Assets and Cryptocurrencies, 2020, Journal of Risk and Financial Management
  • Asymmetric Volatility Impulse Response Functions, 2022, Economics Letters

Best Publications

  • Statistics of financial markets

    Jürgen Franke;Wolfgang Karl Härdle;Christian Matthias Hafner

  • Quantile autoregression. Commentary

    Roger Koenker;Zhijie Xiao;Jianqing Fan;Yingying Fan

  • A Lagrange multiplier test for causality in variance

    Christian M. Hafner;Helmut Herwartz

  • Dynamic stochastic copula models: Estimation, inference and applications

    Christian M. Hafner;Hans Manner

  • Volatility impulse response functions for multivariate GARCH models: an exchange rate illustration

    Christian M. Hafner;Helmut Herwartz

  • Handbook of Volatility Models and Their Applications

    Luc Bauwens;Christian M. Hafner;Sebastien Laurent

  • Testing for bubbles in cryptocurrencies with time-varying volatility

    Christian M Hafner

  • On asymptotic theory for multivariate GARCH models

    Christian M. Hafner;Arie Preminger

  • Fourth Moment Structure of Multivariate GARCH Models

    Christian M. Hafner

  • On the estimation of dynamic conditional correlation models

    Christian M. Hafner;Olga Reznikova

  • Efficient estimation of a multivariate multiplicative volatility model

    Christian M. Hafner;Oliver B. Linton

  • Statistics of Financial Markets: An Introduction

    Jürgen Franke;Wolfgang Karl Härdle;Christian Matthias Hafner

  • Discrete time option pricing with flexible volatility estimation

    Wolfgang Karl Härdle;Christian Hafner

  • A Generalized Dynamic Conditional Correlation Model: Simulation and Application to Many Assets

    Christian M. Hafner;Philip Hans Franses

  • Efficient estimation of a semiparametric dynamic copula model

    Christian M. Hafner;Olga Reznikova

  • A One Line Derivation of EGARCH

    Michael McAleer;Christian M. Hafner

  • Handbook of Volatility Models and Their Applications: Bauwens/Handbook of Volatility Models and Their Applications

    Luc Bauwens;Christian Hafner;Sebastien Laurent

  • Nonlinear Time Series Analysis with Applications to Foreign Exchange Rate Volatility

    Christian M. Hafner

  • MULTIVARIATE VOLATILITY MODELING OF ELECTRICITY FUTURES

    Luc Bauwens;Christian M. Hafner;Diane Pierret

  • Analytical quasi maximum likelihood inference in multivariate volatility models

    Christian M. Hafner;Helmut Herwartz

  • Multivariate mixed normal conditional heteroskedasticity

    L. Bauwens;C. M. Hafner;J. V. K. Rombouts

  • Testing causality in variance using multivariate GARCH models

    Christian Hafner;Helmut Herwartz

Frequent Co-Authors

Wolfgang Karl Härdle
Wolfgang Karl Härdle Humboldt-Universität zu Berlin
Helmut Herwartz
Helmut Herwartz University of Göttingen
Oliver Linton
Oliver Linton University of Cambridge
Luc Bauwens
Luc Bauwens Université Catholique de Louvain
Dick van Dijk
Dick van Dijk Erasmus University Rotterdam
Philip Hans Franses
Philip Hans Franses Erasmus University Rotterdam
Peter Bossaerts
Peter Bossaerts University of Cambridge
Sébastien Laurent
Sébastien Laurent Aix-Marseille University
Michael McAleer
Michael McAleer Erasmus University Rotterdam
Léopold Simar
Léopold Simar Université Catholique de Louvain

External Links

Personal website of Christian M. Hafner Google Scholar page

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Best Scientists Citing Christian M. Hafner

Wolfgang Karl Härdle

Wolfgang Karl Härdle

Humboldt-Universität zu Berlin

Publications: 51

Michael McAleer

Michael McAleer

Erasmus University Rotterdam

Publications: 31

Massimiliano Caporin

Massimiliano Caporin

University of Padua

Publications: 27

Siem Jan Koopman

Siem Jan Koopman

Vrije Universiteit Amsterdam

Publications: 19

Peter Christoffersen

Peter Christoffersen

University of Toronto

Publications: 17

Oliver Linton

Oliver Linton

University of Cambridge

Publications: 16

Helmut Herwartz

Helmut Herwartz

University of Göttingen

Publications: 16

Luc Bauwens

Luc Bauwens

Université Catholique de Louvain

Publications: 15

Rangan Gupta

Rangan Gupta

University of Pretoria

Publications: 14

Andre Lucas

Andre Lucas

Vrije Universiteit Amsterdam

Publications: 14

Jean-Michel Zakoian

Jean-Michel Zakoian

École Nationale de la Statistique et de l'Administration Économique

Publications: 12

Timo Teräsvirta

Timo Teräsvirta

Aarhus University

Publications: 12

Ugur Soytas

Ugur Soytas

Technical University of Denmark

Publications: 11

Claudia Czado

Claudia Czado

Technical University of Munich

Publications: 11

Qing Zhang

Qing Zhang

University of Georgia

Publications: 11

Dick van Dijk

Dick van Dijk

Erasmus University Rotterdam

Publications: 10

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