Rafael H. Villarreal
Rafael H. Villarreal publishes mostly in Algebra and Number Theory, Computational Theory and Mathematics and Geometry and Topology, on topics such as Commutative Algebra and Its Applications, Polynomial and algebraic computation and Algebraic structures and combinatorial models.
- World rank
- #105,378 of 1,633,909 ranked researchers
- Rank in Mexico
- #249 of 8,743
- Works
- 52
- Citations
- 217
- Citations per work
- 4.2
What does Rafael H. Villarreal research?
Shares of their own output, by the field each of their topics belongs to. The grey slice is everything not listed.
- 1Algebra and Number Theory34% of their works
- 2Computational Theory and Mathematics19% of their works
- 3Geometry and Topology19% of their works
- 4Artificial Intelligence8% of their works
- 5Electrical and Electronic Engineering5% of their works
- 6Discrete Mathematics and Combinatorics5% of their works
Research topics
Which keywords describe Rafael H. Villarreal's research?
The keywords of their largest research topics: Graded Betti Numbers, Monomial Ideals, Tropical Geometry, Gröbner Bases, Symbolic Computing, Cluster Algebras, Triangulated Categories and Cryptography.
- Finite Groups
- Fiber Bragg Grating
- Armendariz Rings
- Gromov-Witten Theory
- Cryptography
- Cluster Algebras
- Gröbner Bases
- Monomial Ideals
- Graded Betti Numbers
- Tropical Geometry
- Symbolic Computing
- Triangulated Categories
- Error-Correcting Codes
- Moduli Theory
- Zero-Divisor Graphs
- Spectral Amplitude Coding
- Graphs
Size is their works in the topics tagged with each word, from their 8 largest topics. Each links to the topic it comes from most.
All 17 words, with their numbers
- Graded Betti Numbers141 topic
- Monomial Ideals141 topic
- Tropical Geometry122 topics
- Gröbner Bases71 topic
- Symbolic Computing71 topic
- Cluster Algebras61 topic
- Triangulated Categories61 topic
- Cryptography51 topic
- Error-Correcting Codes51 topic
- Gromov-Witten Theory51 topic
- Moduli Theory51 topic
- Armendariz Rings41 topic
- Zero-Divisor Graphs41 topic
- Fiber Bragg Grating31 topic
- Spectral Amplitude Coding31 topic
- Finite Groups21 topic
- Graphs21 topic
Where does Rafael H. Villarreal work?
Rafael H. Villarreal's main affiliation in the publication record is Instituto Politécnico Nacional, Mexico.
How many publications and citations does Rafael H. Villarreal have?
Science Explorer counts 52 works and 217 citations for Rafael H. Villarreal, ranking #105,378 of 1,633,909 researchers worldwide on the composite score.
Ranked on field-normalised excellence (50%), output (30%) and citations (20%). Counts come from OpenAlex author records, which occasionally merge different people who share a name or split one person into several.
Papers, co-authors, who cited this work and researchers on the nearest topics are in the interactive view on the map. Is this your page? Request a correction or removal.