LabCompass

Uli Walther

Mathematics · Purdue University West Lafayette

OpenAlex ORCID
Established · publishing since 1976
Commutative Algebra and Its ApplicationsAlgebraic Geometry and Number TheoryPolynomial and algebraic computationAlgebraic structures and combinatorial modelsAdvanced Combinatorial Mathematics

Publications

126

Citations

1,098

Est. group size

—

Recurring co-author estimate

Active years

51

Publishing since 1976

Research summary
AI-generated

Uli Walther works in commutative algebra and algebraic geometry, focusing on tools like local cohomology, singularities of polynomials, and systems of differential equations (called GKZ or tautological systems) that arise from geometric configurations. Much of this research connects abstract algebraic structures to combinatorial objects such as matroids and graphs, including applications to Feynman diagrams from physics. Prospective students would be working on theoretical mathematics that bridges algebra, geometry, topology, and combinatorics.

Local cohomology and its invariantsSingularities of polynomials and hypersurfacesGKZ and tautological differential systemsMatroids and configuration polynomialsConnections to Feynman diagrams and mathematical physics

Publication output has been fairly steady over the past decade, with a notable peak in 2021 and a slight dip afterward before rising again in 2025-2026.

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

Publication cadence
Publications per year over the last 10 years — averaging 3.6/year recently
2017: 3 publications172018: 3 publications182019: 5 publications192020: 4 publications202021: 10 publications10212022: 5 publications222023: 2 publications232024: 3 publications242025: 3 publications252026: 5 publications26
Recent publications
Publishes in
  • arXiv (Cornell University)×22
  • Advances in Mathematics×4
  • Communications in Algebra×2
  • International Mathematics Research Notices×2
  • Letters in Mathematical Physics×2
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.

Claim or correct this profile