## Areas of Expertise

Operator Theory, Linear Algebra, Number Theory, and History of Mathematics

## Education

May 1984 Ph.D. in Mathematics, University of California, Berkeley

Dec. 1981 M.A. in Mathematics, University of California, Berkeley

June 1978 B.S. in Mathematics with Honors, California Institute of Technology

## Biography

I came to the University of North Florida along with the first freshman class in 1984. I taught just about every undergraduate mathematics course and many graduate mathematics courses since my arrival. My early research focused on Operator Theory and Linear Algebra. My later and current research is centered around mathematics arising from the Harmonic Series. My service activities include serving on University and Department committees, administering and composing mathematics competitions, and serving as in a variety of officer roles for the Mathematical Association of America at both the state and national level. I have chaired the Department of Mathematics and Statistics at the University of North Florida since July 2001.

## Awards

2011 Mathematical Association of America Florida Section Service Award

2001 Mathematical Association of America Florida Section Teaching Award

1998 Outstanding Teaching Award (UNF)

1990 Undergraduate Teaching Award (UNF)

## Affiliations

Sept. 1980 - Present Member of the American Math Society

June 1974 - Present Member of the Mathematical Association of America

## Grants and Contracts Awarded

1998 - 2000 Arthur Vining Davis Foundation to work with faculty at Andrew Jackson H.S.

1998 Higher Education Consortium For Mathematics and Science: Present a

one week workshop for middle school teachers that would improve their

teaching of geometry.

1995- 1997 Instructor/Math Consultant for NSF grant awarded to Dr. Leonard Lipkin.

1989 SUS Chancellor: Teach a summer program to high school students in INROADS,

an organization that prepares minority students for management positions.

1988 Duval County School Board: Teach teach a summer course in mathematics and

computer engineering to minority high school students.

## Publications & Presentations

PUBLICATIONS

1. Hochwald, Multiplicative Maps on Matrices that Preserve the Spectrum, Linear Algebra and Its Applications, Vols. 212, 213 (1994), p. 339-351.

2. Tong and Hochwald, The Minimum Property of the Orthic Triangle, The Australian

Mathematical Society Gazette, Vol. 21, No.3 (1994), p. 69 - 71.

3. Hochwald and Tong, On the Reciprocals of the Fibonacci Numbers, The Fibonacci Quarterly, Vol. 31 (1993), p. 246-250.

4. Hochwald, Natural Conditions on the Spectra of Operators, Linear Algebra and Its Applications, Vol. 186 (1993), p. 183-197.

5. Tong and Hochwald, Some Developments of Fagnano's Problem, Nieuw Arch. Wisk. (4) 10 (1992), no. 1-2, 11--18.

6. Hochwald, Linear Algebra by Analogy, The American Mathematical Monthly, Vol. 98, No. 10 (1991), p. 918-926.

7. Hochwald, The Uniqueness of the Adjoint Operation III, Journal of Operator Theory. Vol. 20, No. 2 (1988), p. 199-206.

8. Hochwald and Morrel, Some Consequences of Left Invertibility, Proceedings of the American Mathematical Society, Vol. 100, No. 1 (1987), p. 109-110.

9. Hochwald, The Uniqueness of the Adjoint Operation II, Linear Algebra and Its Applications, Vol. 91, (1987), p. 107-119.

10. Hochwald, The Uniqueness of the Adjoint Operation I, Integral Equations and Operator Theory, Vol. 9, (1986), p. 623-634.

SELECED RECENT AND INVITED PRESENTATIONS

1. The Florida Section of the Mathematical Association of America (2012)

Title: Euclidean Geometry is Officially Dead But It Shouldn’t Be

2. The Florida Section of the Mathematical Association of America (2011)

Title: Name That Curve

3. The Florida Section of the Mathematical Association of America (2010)

Title: Too Much Pi

4. MathFest (Portland, 2009) Title: The Amazing, Astounding, Phantasmagorical Central

Binomial Coefficient

5. The Florida Section of the Mathematical Association of America (2009)

Title: Mathematical Amusements

6. MathFest (Madison, 2008) Title:The Harmonic Series: Used, Abused, and Confused

7. The Florida Section of the Mathematical Association of America (2007)

Title: Mathematics Lost, Found, and Misnamed

8. Florida State University Mathematics Colloquium (1997)

Title: Tales from the Harmonic Series

9. Florida State University Commutative Algebra Seminar (1997)

Title: The Harmonic Series and Number Theory

10. The Florida Section of the Mathematical Association of America

Plenary Talk (1996) Title: An Historical Look at Fermat’s Last Theorem

11. The Florida Section of the Mathematical Association of America (1994)

Title: Tales from the Harmonic Series