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D-Index & Metrics

Mathematics

D-Index
35
Citations
5728
World Ranking
2758
National Ranking
1130

Alexander Barvinok 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 Alexander Barvinok 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: 117 publications — 20th percentile

20% of scientists in this discipline score the same or lower.

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

Alexander Barvinok 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 Alexander Barvinok 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: 35 D-Index — 25th percentile

25% 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

  • 2013 - Fellow of the American Mathematical Society
  • 1995 - Fellow of Alfred P. Sloan Foundation

Overview

Alexander Barvinok is affiliated with the University of Michigan-Ann Arbor in the United States. Their research spans multiple fields including Mathematics and Computer Science, with particular focus on Statistics and Probability, Computational Theory and Mathematics, Mathematical Physics, Applied Mathematics, and Numerical Analysis.

The scientist's research covers the following main topics:

  • Markov Chains and Monte Carlo Methods
  • Random Matrices and Applications
  • Stochastic processes and statistical mechanics
  • Mathematical functions and polynomials
  • Matrix Theory and Algorithms
  • Mathematics and Applications
  • Computational Geometry and Mesh Generation

Alexander Barvinok has published extensively, with a notable presence in venues such as arXiv (Cornell University), Forum of Mathematics Sigma, Advances in Mathematics, SIAM Journal on Discrete Mathematics, and Linear Algebra and its Applications.

Recent significant papers include:

  • More on zeros and approximation of the Ising partition function, 2021, Forum of Mathematics Sigma
  • When a system of real quadratic equations has a solution, 2022, Advances in Mathematics
  • Testing for Dense Subsets in a Graph via the Partition Function, 2020, SIAM Journal on Discrete Mathematics
  • A remark on approximating permanents of positive definite matrices, 2020, Linear Algebra and its Applications
  • Integrating Products of Quadratic Forms, 2023, Discrete & Computational Geometry

Frequent co-authors include Mark Rudelson, Nicholas Barvinok, and Anthony Della Pella. Collaboration with these researchers has contributed to a subset of the published works.

Alexander Barvinok has been recognized by several awards including being named a Fellow of the American Mathematical Society in 2013 and a Fellow of the Alfred P. Sloan Foundation in 1995.

Best Publications

  • A Course in Convexity

    Alexander Barvinok

  • A polynomial time algorithm for counting integral points in polyhedra when the dimension is fixed

    Alexander I. Barvinok

  • An Algorithmic Theory of Lattice Points in Polyhedra

    Alexander Barvinok;James Pommersheim

  • Problems of distance geometry and convex properties of quadratic maps

    A. I. Barvinok

  • Integer Points in Polyhedra

    Alexander Barvinok

  • Combinatorics and Complexity of Partition Functions

    Alexander Barvinok

  • Short rational generating functions for lattice point problems

    Alexander Barvinok;Kevin Woods

  • Two algorithmic results for the traveling salesman problem

    Alexander I. Barvinok

  • Polynomial time algorithms to approximate permanents and mixed discriminants within a simply exponential factor

    Alexander Barvinok

  • On the number of matrices and a random matrix with prescribed row and column sums and 0–1 entries☆

    Alexander Barvinok

  • Computing the volume, counting integral points, and exponential sums

    Alexander I. Barvinok

  • Feasibility testing for systems of real quadratic equations

    Alexander I. Barvinok

  • The number of graphs and a random graph with a given degree sequence

    Alexander I. Barvinok;J. A. Hartigan

  • Computing the Ehrhart quasi-polynomial of a rational simplex

    Alexander I. Barvinok

  • Computing the Permanent of (Some) Complex Matrices

    Alexander Barvinok

  • Computing the Ehrhart polynomial of a convex lattice polytope

    A. I. Barvinok

  • A Remark on the Rank of Positive Semidefinite Matrices Subject to Affine Constraints

    A. Barvinok

  • New algorithms for linear k -matroid intersection and matroid k -parity problems

    Alexander I. Barvinok

  • Thrifty approximations of convex bodies by polytopes

    Alexander Barvinok

  • Maximum entropy Gaussian approximations for the number of integer points and volumes of polytopes

    Alexander Barvinok;J. A. Hartigan

Frequent Co-Authors

Gerhard J. Woeginger
Gerhard J. Woeginger RWTH Aachen University
David S. Johnson
David S. Johnson AT&T (United States)
Arie Tamir
Arie Tamir Tel Aviv University
Bernd Sturmfels
Bernd Sturmfels Max Planck Institute for Mathematics in the Sciences
Sergey Fomin
Sergey Fomin University of Michigan–Ann Arbor

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