2026 Luchezar L. Avramov: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	39	2223	1965	937	778	96	5899

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2223

1965

937

778

5899

Research.com Recognitions

2013 - Fellow of the American Mathematical Society

Overview

Luchezar L. Avramov is affiliated with the University of Nebraska-Lincoln in the United States and specializes in the field of mathematics, with a primary focus on areas including Geometry and Topology, Algebra and Number Theory, Mathematical Physics, and Computational Theory and Mathematics.

The research topics they explore cover several domains such as algebraic structures and combinatorial models, commutative algebra and its applications, homotopy and cohomology in algebraic topology, and polynomial and algebraic computation.

Among recent publications, the scientist has contributed the following papers:

Persistence of homology over commutative noetherian rings, 2022, Journal of Algebra
Persistence of homology over commutative noetherian rings, 2020, arXiv (Cornell University)
Polynomial growth of Betti sequences over local rings, 2022, arXiv (Cornell University)
Polynomial growth of Betti sequences over local rings, 2024, Collectanea mathematica

The frequent collaborators include Srikanth B. Iyengar, Saeed Nasseh, Alexandra Seceleanu, Keri Sather-Wagstaff, and Sean Sather-Wagstaff.

Publications are primarily found in venues such as arXiv (Cornell University), Journal of Algebra, and Collectanea mathematica.

In 2013, Luchezar L. Avramov was recognized as a Fellow of the American Mathematical Society.

Best Publications

Homological dimensions of unbounded complexes

Luchezar L. Avramov;Hans-Bjørn Foxby

447
Citations
Infinite Free Resolutions

Luchezar L. Avramov

420
Citations
ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION

Luchezar L. Avramov;Alex Martsinkovsky

406
Citations
Support varieties and cohomology over complete intersections

Luchezar L. Avramov;Ragnar-Olaf Buchweitz

364
Citations
Complete intersection dimension

Luchezar L. Avramov;Vesselin N. Gasharov;Irena V. Peeva

358
Citations
Ring homomorphisms and finite Gorenstein dimension

LL Avramov;H-B Foxby

262
Citations
Modules of finite virtual projective dimension

L. L. Avramov

227
Citations
Structure of Local Homomorphisms

Luchezar L. Avramov;Hans-Bjørn Foxby;Bernd Herzog

191
Citations
Poincaré series of modules over local rings of small embedding codepth or small linking number

Luchezar L Avramov;Andrew R Kustin;Matthew Miller

156
Citations
Resolutions of monomial ideals and cohomology over exterior algebras

Annetta Aramova;Luchezar Avramov;Jürgen Herzog

154
Citations
Complete intersections and symmetric algebras

Luchezar L Avramov

142
Citations
Homology of perfect complexes

Luchezar L. Avramov;Ragnar Olaf Buchweitz;Srikanth B. Iyengar;Claudia Miller

131
Citations
Locally Gorenstein homomorphisms

Luchezar L. Avramov;Hans-Bjorn Foxby

130
Citations
Small homomorphisms of local rings

Luchezar L Avramov

125
Citations
Through the looking glass: A dictionary between rational homotopy theory and local algebra

Luchezar Avramov;Stephen Halperin

124
Citations
OBSTRUCTIONS TO THE EXISTENCE OF MULTIPLICATIVE STRUCTURES ON MINIMAL FREE RESOLUTIONS

Luchezar L. Avramov

94
Citations
Homological Asymptotics of Modules over Local Rings

Luchezar L. Avramov

88
Citations
Homology of local flat extensions and complete intersection defects

Luchezar L. Avramov

85
Citations
Homological Algebra Modulo a Regular Sequence with Special Attention to Codimension Two

Luchezar L Avramov;Ragnar-Olaf Buchweitz

85
Citations
Subadditivity of syzygies of Koszul algebras

Luchezar L. Avramov;Aldo Conca;Srikanth B. Iyengar

79
Citations
Interactions between Homotopy Theory and Algebra

Luchezar L. Avramov;J. Daniel Christensen;William G. Dwyer;Michael A. Mandell

18
Citations

Frequent Co-Authors

Aldo Conca University of Genoa

Melvin Hochster University of Michigan–Ann Arbor

Jürgen Herzog University of Duisburg-Essen

Stephen Halperin University of Maryland, College Park

Matthew C. Miller Northeastern University

David Eisenbud University of California, Berkeley

Bruce Kleiner Courant Institute of Mathematical Sciences

Winfried Bruns Osnabrück University

External Links

Wikipedia of Luchezar L. Avramov Personal website of Luchezar L. Avramov Google Scholar page

If you think any of the details on this page are incorrect, let us know.

Related Online Degrees & Career Pathways

For students interested in mathematics, there are several related online degree options that can diversify career opportunities. Combining mathematical skills with business knowledge, pursuing one of the cheapest 1 year online MBA programs offers a quick, cost-effective route into management roles.

Many online MBA programs offer flexibility by allowing students to transfer previous credits, making it easier to advance their education without starting over. Exploring options for an online MBA with transfer credits accepted can reduce both time and expenses.

For those keen on data-driven decision-making, earning a masters in data analytics is a natural extension. This degree enhances analytical expertise and opens doors to fast-growing tech sectors.

Additionally, individuals who value accessibility may want to consider the easiest MBA programs to get into, which provide a less competitive admission process while still imparting crucial business and leadership skills.