a person in the record
Paolo Piazza
Ph.D. from Massachusetts Institute of Technology in 1991 on "K-Theory and Index Theory on Manifolds with Boundary" supervised by Richard Burt Melrose
Wikidata names Richard Melrose as doctoral advisor, lists 3 doctoral students, and lists 1 person they taught. Linked to Wikidata and Mathematics Genealogy Project.
How to read the marksstated by Wikidata or indexed by OpenAlex
Advisors on Wikidata1
From Wikidata, shown separately from the thesis records.
- stated by Wikidata
Students on Wikidata3
From Wikidata, shown separately from the thesis records.
- stated by Wikidata
- stated by Wikidata
- stated by Wikidata
Taught1
Wikidata's "student of" and "student" statements: a line of training beside the lineage, never a thesis supervision and never counted with one.
- a teacher or mentor, stated by Wikidata: not a thesis supervision
The line above and below4 steps
The advisors of their advisors, four steps up at most, in the thesis records and on Wikidata, each kind marked; a person in both is listed once.
- 1 step up
stated by WikidataRichard Melrose
- 2 steps up
stated by WikidataFrederick Gerard Friedlander
- 3 steps up
stated by WikidataGeoffrey Ingram Taylor
- 4 steps up
stated by WikidataJoseph John Thomson
Below them, within 3 steps, the record reaches 3 people: 3 stated by Wikidata.
Education and career1
From Wikidata, shown separately from the thesis records. Each place opens its Wikidata item.
- undated