LabCompass

Manuel Rivera

Mathematics · Purdue University West Lafayette

OpenAlex ORCID
Mid career · publishing since 2014
Homotopy and Cohomology in Algebraic TopologyAlgebraic structures and combinatorial modelsAdvanced Topics in AlgebraNonlinear Waves and SolitonsTopological and Geometric Data Analysis

Publications

41

Citations

92

Est. group size

—

Recurring co-author estimate

Active years

13

Publishing since 2014

Research summary
AI-generated

Manuel Rivera works in algebraic topology, a branch of mathematics that studies the shapes of spaces using algebraic tools. His research develops algebraic models—built from structures called coalgebras and chain complexes—for understanding loop spaces and path spaces, which capture information about how loops and paths can be continuously deformed within a given space. This work connects to string topology, an area that studies algebraic operations on spaces of loops, and to homotopy theory more broadly.

Algebraic topologyString topologyLoop spaces and path spacesCoalgebra and Hochschild homology modelsHomotopy theory

Publication output has grown from about 1 paper per year in 2017 to a steady pace of 4-6 papers per year from 2022-2024, averaging just under 4 per year over the last five years.

Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026

Publication cadence
Publications per year over the last 10 years — averaging 3.8/year recently
2017: 1 publication172018: 3 publications182019: 5 publications192020: 5 publications202021: 5 publications212022: 6 publications6222023: 4 publications232024: 6 publications6242025: 2 publications252026: 1 publication26
Recent publications
Publishes in
  • arXiv (Cornell University)×19
  • Proceedings of the American Mathematical Society×2
  • Proceedings of the London Mathematical Society×1
  • Advances in Mathematics×1
  • Journal of Noncommutative Geometry×1
Similar researchers
By research-topic overlap

This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.

Last updated Jul 20, 2026.

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