World's Best Scientists 2026 revealed!
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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
83
Citations
26657
World Ranking
122
National Ranking
71

Tony Cai 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 Tony Cai sits on this spectrum.

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 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 245 publications — 76th percentile

76% of scientists in this discipline score the same or lower.

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

Tony Cai 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 Tony Cai sits on this spectrum.

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: 83 D-Index — 97th percentile

97% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2008 - COPSS Presidents' Award For fundamental and wide-ranging contributions to the mathematics, theory and methods of statistics, including the theory and application of wavelets, block thresholding in wavelet regression, optimality theory, adaptation in nonparametric function estimation, confidence intervals in small samples, and methods for false discovery rate control; for applications to chemical identification, medical imaging and microarray data analysis; and for outstanding contributions to the statistical profession through extensive editorial work and mentorship of students.

Overview

Tony Cai is affiliated with the University of Pennsylvania in the United States and has a strong research presence in the field of Medicine. Their work spans several important subfields including Urology, Surgery, Statistics and Probability, Epidemiology, and Soil Science.

The scientist's research topics are diverse, covering areas such as:

  • Urinary Bladder and Prostate Research
  • Urinary Tract Infections Management
  • Sexual function and dysfunction studies
  • Pelvic floor disorders treatments
  • Soil Carbon and Nitrogen Dynamics
  • Prostate Cancer Diagnosis and Treatment
  • Statistical Methods and Inference

Tony Cai has contributed to multiple peer-reviewed papers, with recent publications including:

  • "Epidemiology, definition and treatment of complicated urinary tract infections," 2020, published in Nature Reviews Urology
  • "European Association of Urology Guidelines on Urological Infections: Summary of the 2024 Guidelines," 2024, published in European Urology
  • "Nonantibiotic Strategies for the Prevention of Infectious Complications following Prostate Biopsy: A Systematic Review and Meta-Analysis," 2020, published in The Journal of Urology
  • "Antibiotic Prophylaxis for the Prevention of Infectious Complications following Prostate Biopsy: A Systematic Review and Meta-Analysis," 2020, published in The Journal of Urology
  • "Suitable fertilizer application depth can increase nitrogen use efficiency and maize yield by reducing gaseous nitrogen losses," 2021, published in The Science of The Total Environment

This researcher frequently collaborates with several coauthors, among whom are:

  • Alessandro Palmieri
  • Truls E. Bjerklund Johansen
  • Zhikuan Jia
  • Giovanni Liguori
  • Michele Rizzo

Tony Cai's research has appeared in various academic publication venues, with the most frequent being:

  • International Journal of Impotence Research
  • Uro
  • arXiv (Cornell University)
  • The Annals of Statistics
  • Preprints.org

Among recognized honors, Tony Cai has received the COPSS Presidents' Award in 2008 for contributions to statistical theory and methods, including work on wavelets, block thresholding in wavelet regression, and false discovery rate control, as well as applications in chemical identification, medical imaging, and microarray data analysis. This award also acknowledges editorial work and mentorship within the statistical profession.

Best Publications

  • Interval Estimation for a Binomial Proportion

    Lawrence D. Brown;T. Tony Cai;Anirban DasGupta

  • Orthogonal Matching Pursuit for Sparse Signal Recovery With Noise

    T. T. Cai;Lie Wang

  • A Constrained ℓ1 Minimization Approach to Sparse Precision Matrix Estimation

    T. Tony Cai;Weidong Liu;Xi Luo

  • Adaptive Thresholding for Sparse Covariance Matrix Estimation

    T. Tony Cai;Weidong Liu

  • Prediction in functional linear regression

    T. Tony Cai;Peter Hall

  • Optimal rates of convergence for covariance matrix estimation

    T. Tony Cai;Cun Hui Zhang;Harrison H. Zhou

  • Incorporating Information on Neighboring Coefficients Into Wavelet Estimation

    Tony Cai;Bernard W Silverman

  • Adaptive wavelet estimation : A block thresholding and oracle inequality approach

    T. Tony Cai

  • Confidence Intervals for a binomial proportion and asymptotic expansions

    Lawrence D. Brown;T. Tony Cai;Anirban DasGupta

  • Sparse PCA: Optimal rates and adaptive estimation

    T. Tony Cai;Zongming Ma;Yihong Wu

  • Oracle and Adaptive Compound Decision Rules for False Discovery Rate Control

    Wenguang Sun;T. Tony Cai

  • Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices

    T. Tony Cai;Anru Zhang

  • OPTIMAL RATES OF CONVERGENCE FOR SPARSE COVARIANCE MATRIX ESTIMATION

    T. Tony Cai;Harrison H. Zhou

  • A Direct Estimation Approach to Sparse Linear Discriminant Analysis

    T. Tony Cai;Weidong Liu

  • Two-sample test of high dimensional means under dependence

    T. Tony Cai;Weidong Liu;Yin Xia

  • Instrumental Variables Estimation With Some Invalid Instruments and its Application to Mendelian Randomization

    Hyunseung Kang;Anru Zhang;T. Tony Cai;Dylan S. Small

  • A Reproducing Kernel Hilbert Space Approach to Functional Linear Regression

    Ming Yuan;T. Tony Cai

  • New Bounds for Restricted Isometry Constants

    T Tony Cai;Lie Wang;Guangwu Xu

  • Large-scale multiple testing under dependence

    Wenguang Sun;T. Tony Cai

  • The role of the prostate in male fertility, health and disease.

    Paolo Verze;Tommaso Cai;Stefano Lorenzetti

  • On Recovery of Sparse Signals Via $ll _{1}$ Minimization

    T.T. Cai;Guangwu Xu;Jun Zhang

  • Two-Sample Covariance Matrix Testing and Support Recovery in High-Dimensional and Sparse Settings

    Tony Cai;Weidong Liu;Yin Xia

Frequent Co-Authors

Lawrence D. Brown
Lawrence D. Brown Cornell University
Dylan S. Small
Dylan S. Small University of Pennsylvania
Steven Joniau
Steven Joniau KU Leuven
Guido Dalbagni
Guido Dalbagni Memorial Sloan Kettering Cancer Center
Ming Yuan
Ming Yuan Columbia University
Yihong Wu
Yihong Wu Yale University
Pierangelo Geppetti
Pierangelo Geppetti University of Florence
Richard Sylvester
Richard Sylvester European Organisation for Research and Treatment of Cancer
Núria Malats
Núria Malats Spanish National Cancer Research Centre

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