## Fumiko Futamura

### Associate Professor of Mathematics

##### Areas of expertise

Frame theory, operator theory, matrix theory, projective geometry, art and mathematicsMathematics is the most elusive of all the arts. It took 8 years of serious study to even begin to understand the medium and begin to work with it in a creative way. Math is art. I wouldn't be a mathematician otherwise.

##### Education

MS, PhD, Vanderbilt University 2007

BA, University of Louisville 2002

##### Teaching Philosophy

Engage and empower students. Guide them to discover the beauty and awesomeness of mathematics.

##### Previous Courses

First Year Seminar: Hidden Perspectives, Mathematics in Art and Art in Mathematics //
London semester course: Mathematical Influences in Art //
London semester course: Victorian Society and Mathematics in Wonderland and Flatland //
Elementary Function Theory //
Introduction to Statistics //
Calculus I //
Calculus II //
Linear Algebra //
Real Analysis I //
Real Analysis II //
Projective Geometry //
Frame Theory //
Independent study: Signal Processing //
Independent study: Relationships between Projective Geometry, Perspective Drawing, Philosophy and Religion //
Independent study: Mathematical background for an iphone app: projective geometry and music //
Independent study: Mathematics of Alice in Wonderland

##### Publications

R. Denman, F. Futamura, K.C. Richards, *On Sharp Frame Diagonalization*, Linear Algebra Appl., 438 no. 5, (2013) 2210-2224.

F. Futamura, *Frame Diagonalization of Matrices*, Lin. Algebra Appl., 436 no. 9 (2012) 3201-3214.

F. Futamura, *Localizable Operators and the Construction of Localized Frames*, Proc. Amer. Math. Soc., 137 (2009) 4187-4197.

F. Futamura, *Symmetrically localized frames and the removal of subsets of positive density*, J. Math. Anal. Appl., 326 no. 2, (2007) 1225--1235.

F. Futamura, *Banach framed, decay in the context of localization*, Sampl. Theory Signal Image Process., 6 no. 2, (2007) 151--166.

##### Exhibitions

*Self-Portraits as Other People's Preconceptions*, 2006

installation of eight paintings, oil on canvas, 60 in X 36 in

Evoke/Invoke/Provoke, A Multimedia Project of Discovery,

directed by Judy Chicago and Donald Woodman.

Cohen Building, Peabody Campus, Vanderbilt University.

link

##### Honors & Awards

NSF TUES Grant, $69,432, 2012

National Science Foundation (NSF) Transforming Undergraduate Education in Science (TUES) grant, Projective Geometry Applied to Perspective Art, to write, test and evaluate a textbook on projective geometry that motivates and applies the material to perspective drawing.

AIBL Small Grant, $4000, 2011

Grant to create an inquiry based learning math and art course, Educational Advancement Foundation

Faculty-Student Project Research Grant, $7590, 2009

Internal grant to do research with a student for 8 weeks, Southwestern University

Brown Innovations in Teaching Award, $5000, 2008

Internal grant to organize a departmental pedagogical seminar, Southwestern University

B.F. Bryant Prize for Excellence in Teaching, 2007

Graduate teaching award, Vanderbilt University

##### Interests

Painting, piano, books, food, social justice, contemporary art, ridiculousness, crochet