Claudia Spiro
Claudia Alison Spiro | |
|---|---|
| Born | March 4, 1956 |
| Died | January 4, 2023 (aged 66) |
| Other names | Claudia Alison Spiro-Silverman |
| Education |
|
| Spouse | Robert Silverman |
| Children | 3 |
| Scientific career | |
| Fields | Mathematics |
| Thesis | The Frequency with Which an Integral-Valued, Prime-Independent, Multiplicative or Additive Function of n Divides a Polynomial Function of n (1981) |
| Doctoral advisor | Paul Trevier Bateman |
Claudia Alison Spiro (March 4, 1956 – January 4, 2023) was an American mathematician who worked primarily in Number Theory and data science.[1] She is known for her work in Number Theory and for having an Erdős number of 1.
Early life
Spiro was born on March 4, 1956 to Robert Spiro and Lorraine Shatz. Sprio had a younger brother and younger sister. Her father remarried to in addition to Constance Mobley who gave her a half sister and two half brothers. Spiro grew up in Altadena, California where she enjoyed attending the rose bowl parades. Spiro was taught the musical instaments: the clarient and the piano. In her childhood she loved mathematics, as early as 5 years old she would do difficult mental arithimetic such as triple digit multiplication problems. She was also a chess player.[1]
Education
Sprio obtained Bachelors degree and Masters degree both in mathematics at Caltech. In 1977, she started her work on her PhD at University of Illinois at Urbana-Champaign where she worked with her advisor Paul Trevier Bateman."[1] On October 15, 1981, she obtained her PhD for which she wrote her dissertation "The Frequency with Which an Integral-Valued, Prime-Independent, Multiplicative or Additive Function of n Divides a Polynomial Function of n.[2][3]
Career
After finishing up the work for her PhD in th summer of 1981, Spiro was accepted the position of George William Hill and Emmy Noether Research Instructor in the mathematics department at SUNY in Buffalo, New York, which started September of that year.[3][4]
In 2006, Spiro started working at University of Phoenix.[5] She was hired in 2012 as an as Assistant Professor at Southern Polytechnic State University, which was consolidated into Kennesaw State University, to assist with their newly created Teacher Education program.[6]
Research and contributions
Determining whether the number of divisors of some number n and n+k had infinitely many solutions for some k was solved by Spiro. Spiro proved that for the case d(n)=d(n + 5040), there are infinitely many solutions. Roger Heath-Brown and Chris Pinner built upon her work to show this is true for all integer values of k.[7] [8]
From 1991 to 1996 she was a reviewer of 27 papers in number theory for the journal Math Reviews.[9][10]
Awards and honors
She is one of the few women to have an Erdős Number of 1.[11][12]
Personal life
Spiro married Robert Silverman and had three children: Joel, Sarah, and Isaac. She was also an active member in her church, going on missions and leading Bible studies. [1]
Death and legacy
Spiro died of cancer on January 4, 2023.[1]
Selected publications
- Spiro, Claudia A (October 1992). "Additive uniqueness sets for arithmetic functions". Journal of Number Theory. 42 (2): 232–246. doi:10.1016/0022-314X(92)90022-H. Retrieved 31 July 2025.
- Erdös, Paul; Granvilie, Andew; Pomerance, Carl; Spiro, Claudia (1990). "On the Normal Behavior of the Iterates Of some Arithmetic Functions". Analytic Number Theory. 85: 165–204. doi:10.1007/978-1-4612-3464-7_13. Retrieved 31 July 2025.
See also
References
- ^ a b c d e "Official Obituary of Claudia A. Spiro". Stallings Funeral Home. Retrieved 29 July 2025.
- ^ "Claudia Alison Spiro". Mathematics Genealogy Project. Retrieved 29 July 2025.
- ^ a b "Doctoral Graduates". Apply Make a gift College of Liberal Arts & Sciences Department of Mathematics. Retrieved 29 July 2025.
- ^ "Personals" (PDF). CALTECH NEWS. Vol. 16, no. 6. October 1982. Retrieved 29 July 2025.
- ^ "Anniversaries - 10 years" (PDF). We Rise Faculty Newsletter. College of Humanities and Sciences. December 2016. Retrieved 30 July 2025.
- ^ "Southeastern Section Newsletter" (PDF). Vol. 31, no. 2. MAA Southeastern Section. Fall 2012. Retrieved 30 July 2025.
- ^ "B. Divisibility" (PDF). Retrieved 30 July 2025.
- ^ Erdős, Paul. "SOME PROBLEMS ON NUMBER THEORY" (PDF). The Erdos Project Collected Papers of Paul Erdõs. Retrieved 30 July 2025.
- ^ "Spiro, Claudia A." mathscinet. Retrieved 30 July 2025.
- ^ "PERSONALS" (PDF). CALTECH NEWS. Vol. 27, no. 5. October 1993. Retrieved 30 July 2025.
- ^ "Who's Important? A Tale from Wikipedia". Medium. Retrieved 30 July 2025.
- ^ "Erdos0d". The Erdös Number Project. Retrieved 30 July 2025.