# Jose A Franco

Assistant Professor

Mathematics & Statistics • College of Arts & Sciences

## Areas of Expertise

Mathematics

Representation theory of Lie groups and Lie algebras.

Matrix analysis.

## Education

Ph.D. Mathematics

Baylor University

2012

M.S. Mathematics

Baylor University

2008

## Biography

## Awards

Outstanding Mathematics Graduate Teaching Award, Baylor University (2010-2011)

Academic Excellence Award, Universidad de San Carlos (2002)

## Grants and Contracts Awarded

AA Faculty Development Research Grant, UNF, (Summer 2013).

## Publications & Presentations

Published:

- On a conjecture of Bhatia, Lim, and Yamazaki, joint with Dumitru, R. and Dinh, T. Hoa (accepted for publication in Linear Algebra and its Applications)

- On the monotonicity of weighted power means of matrices, joint with Dumitru, R and Dinh, T. Hoa.,
*Linear Algebra and its Applications*, 527, (2017), 128â€“140.

- Global Actions of the Lie Symmetries of the Nonlinear Filtration Equation.,
*Electronic Journal of Mathematical Analysis and Applications*, Vol. 5(1) Jan. 2017, pp. 208-218.

- Globalization of the Actions of the Lie Symmetries of the Nonlinear Wave Equations with Dissipation,
*European Journal of Mathematics,*(2015), Volume 1, Issue 2, pp 329-336*.*

- Arithmagons and a Special Class of Multigraphs, Acta Math. Univ. Com., Vol. LXXXV, 1 (2016), pp. 87â€“95

*joint with Champion J, Lyons J*

- Global Representations of the Conformal Group and Eigenspaces of the Yamabe Operator on S1xSn, Pacific Journal of Mathematics 275-2 (2015), 463--480. DOI 10.2140/pjm.2015.275.463, joint with Sepanski, M.

- Global representations of the Heat and Schrodinger equation with singular potential, Electron. J. Diff. Equ., Vol. 2013 (2013), No. 154, pp. 1-16. (joint with Sepanski, M.)

- On the n-Dimensional Porous Medium Diffusion Equation and Global Actions of the Symmetry Group, SIGMA 9 (2013), 011.

- Global SL(2,R) representations of the SchrÃ¶dinger equation with singular potential, Cent. Eur. J. Math. 10 (2012), 927-941, arXiv:1104.3508.

In Progress:

- The Tricomi Equation and Complementary Series Representations of SL(2;R), joint with Hunziker, M. (in preparation)

- Matrix Arithmetic-Geometric Mean Interpolation via Power Means, joint with Dumitru, R. and Dinh, T. Hoa (in preparation)

- On a q-Analogue of Hilbert's Inequality, joint with Dumitru, R. (submitted)

- On the Uniform Convexity of the q-Analogues of L^p spaces and the q-Clarkson Inequalities, joint with Dumitru, R and Morales, P. (accepted for publication)

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