About

My Name is Romina M. Arroyo, and I am an Argentinian Math research young.

I have a Postdoc Position in Mathematics supported by a CONICET fellowship since April 2013 at Facultad de Matematica, Astronomia y Fisica (FaMAF), Universidad Nacional Cordoba (UNC) and Centro de Investigacion y Estudios de Matematica de Cordoba (CIEM). Also, I am a Graduate Teaching Instructor (JTP) at FaMAF, UNC. I received my Ph.D. on March 2013 under the direction of Jorge Lauret at FaMAF, UNC. I am interested mainly in geometric flows on homogeneous spaces. During the last years, I have studied the Ricci flow on homogeneous manifolds. More precisely, I studied the Ricci flow in homogeneous manifolds of dimension 4, and the Ricci flow in a class of solvmanifolds, obtaining results about the time of definition of the flow, convergence to soliton metrics, and long-time curvature behavior. I am now working on the classification of homogeneous Ricci solitons in low dimensions. Besides, I am also studying the pluriclosed flow on solvmanifolds.

Research

Articles

1. Homogeneous Ricci solitons in low dimensions (with Ramiro Lafuente), to appear in International Mathematics Research Notices (2014). arXiv:1312.7461v1 [math.DG]
2. The Ricci flow in a class of solvmanifolds , Differential Geometry and its Applications, 31 (2013) 472-485.
3. Filiform nilsolitons of dimension 8 , Rocky Mountain Journal of Mathematics, 41 (2011), 1025-1043.

Other monographs

1. Sobre el flujo de Ricci en variedades homogeneas. Ph.D. Thesis. Advisor: Jorge Lauret. March 2013.
2. Clasificacion de nilradicales Einsteins filiformes de dimension 8. Undergraduate thesis (for my Licenciatura degree in Maths). Advisor: Jorge Lauret. March 2008.
3. SVD y una Aplicacion a la Transmision de Imagenes (with Julia Yael Plavnik). Monograph for an Applied Math course in 2005.

Talks

Talks

1.Homogeneous Ricci solitons in low dimensions. Geometry seminar. FaMAF, UNC, Argentina. Mar 2014.
2. Semialgebraic solitons in low dimensions. Annual meeting of the Argentinian Mathematics Society. Rosario, Argentina. Sep 2013.
3. The Ricci flow in a class of solvmanifolds. Geometry seminar. FaMAF, UNC, Argentina. Oct 2012.
4. The Ricci flow in a class of solvmanifolds. Differential Geometry meeting. Rosario, Argentina. Aug 2012.
5. The Ricci flow in simply connected homogeneous manifolds of dimension 4. V Differential Geometry meeting. Cordoba, Argentina. Jun 2011.
6. Classification of Einstein nilradicals of dimension 8. Annual meeting of the Argentinian Mathematics Society. Mendoza, Argentina. Sep 2008.
7. Einstein solvmanifolds. Graduate students seminar. FaMAF, UNC, Argentina. Sep 2008.
8. SVD and an application to images transmission. Technology update sessions. Buenos Aires, Argentina. Sep 2005.
9. SVD and an application to images transmission. Argentinian meeting of computing and operational research (JAIIO). Rosario, Argentina. Sep 2005.

Posters

1. The Ricci flow in a class of solvmanifolds. IV Latinoamerican Congress of Mathematicians. Cordoba, Argentina. Aug 2012.
2. The Ricci flow for homogeneous manifolds of dimension 4. XV Latinoamerican School of Mathematics. Cordoba, Argentina. May 2011.

Teaching

Graduate teaching instructor (JTP)

1. Graduate teaching instructor (JTP). FaMAF - UNC, Argentina. Aug 2013 - .
- Linear Algebra. 2013.
- Discret Matemathic. 2014.


Graduate teaching assistant

Graduate teaching assistant. FaMAF - UNC, Argentina. Mar 2010 - Jul 2013.
- Discret Matemathic. 2010 -2012.
- Linear Algebra. 2010 -2012.
- Multivariable Calculus. 2013.

Tutor

Tutor of TIC to teach mathematics. FaMAF - UNC, Argentina. Sep 2011 - Dec 2011.


Undergraduate teaching assistant

Undergraduate teaching assistant. FaMAF - Universidad Nacional de Cordoba, Argentina. Mar 2006 - Jul 2008.
- Discret Matemathic. 2006 -2007.
- Linear Algebra. 2006 -2007.
- Multivariable Calculus. March 2008 - Aug 2008.