Jose A Franco

Associate Professor

Mathematics & Statistics • College of Arts & Sciences

Areas of Expertise

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

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

Publications & Presentations

Published:

(12) The Matrix Power Means and Interpolation, Adv. Oper. Theory, https://doi.org/10.15352/aot.1801-1288,  (2018) joint with Dumitru, R. and Dinh, T. Hoa.

 

(11) On a q-Analogue of Hilbert's Inequality, joint with Dumitru, R., Electronic Journal of Mathematical Analysis and Applications, 6(2), (2018), pp. 279-287.

 

(10) New Characterizations of Operator Monotone Functions, joint with Dumitru, R. and Dinh, T. Hoa, Linear Algebra Appl., 546, (2018), 169-186, https://doi.org/10.1016/j.laa.2018.02.004

 

(9) On a conjecture of Bhatia, Lim, and Yamazaki, joint with Dumitru, R. and Dinh, T. Hoa, Linear Algebra and its Applications, 531, (2017), 140-145.

 

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

 

(7) 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.

 

(6) Arithmagons and a Special Class of Multigraphs, Acta Math. Univ. Com., Vol. LXXXV, 1 (2016), pp. 87-95, joint with Champion J, Lyons J

 

(5) 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.

 

(4) 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.

 

(3) 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.)

 

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

 

(1) Global SL(2,R) representations of the Schrodinger 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)

 

On a New Family of Operator Means, joint with Dumitru, R. and Dinh, T. Hoa (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)

FrancoContact Information

Building 0004, Room 2710

(904) 620-2216

jose.franco@unf.edu


Office Hours

TR: 3:00-5:30PM