Research:
L.
Caffarelli, S. Patrizi, V.
Quitalo, ``On a long
range segregation model", (Submitted to J. Eur. Math.
Soc., http://arxiv.org/abs/1505.05433)
V. Quitalo. ``A free
boundary problem arising from
segregation of populations with high
competition", Archive for Rational
Mechanics and Analysis: Volume 210, Issue
3 (2013), Page
857908, DOI
10.1007/s0020501306615.
Ph.D.
Thesis, "
Regularity of a segregation problem with
an optimal control operator", University
of Texas at Austin, August
2013

Teaching
(as a Golomb Visiting Professor at Purdue University
20132016):
M 303* Differential Equations and
Partial Differential Equations for Engineering
and the Sciences
*both
in class and distance learning setups
This is a methods course for juniors in
any branch of engineering and science,
designed to follow MA 262. Basic
techniques for solving systems of linear
ordinary differential equations. Series
solutions for second order equations,
including Bessel functions, Laplace
transform, Fourier series, numerical
methods, separation of variables for
partial differential equations and
SturmLiouville theory.
M 366
Ordinary Differential Equations
An introduction to
ordinary differential equations with
emphasis on problem solving and
applications. The onehour computer lab will
give students an opportunity for handson
experience with both the theory and
applications of the subject.
M
527 Advanced
Mathematics For Engineers And Physicists I
Courses
MA 527 and 528 constitute a twosemester
sequence covering a broad range of subjects
useful in early graduate engineering
courses. Topics in MA 527 include linear
algebra, systems of ordinary differential
equations, Laplace transforms, Fourier
series and transforms, and partial
differential equations.

Department
Seminars/ Colloquium:
 Functional Analysis and
Applications, CIDMA, Aveiro University,
Portugal, December, 2016
 Joint seminar AnalysisNumerical
Analysis and Optimization, CMUC, Coimbra
University, Portugal, December, 2016
 Mathematics Colloquium,
University of Miami, Miami, December 2016
 Mathematics Colloquium, Florida
Atlantic University, October 2016
 Analysis and Applications Seminar,
Florida Atlantic University, October 2016
 PDE seminar, Purdue University,
October 2016
 Department of Mathematical
Sciences Colloquium Series, Hosted By SIAM,
Florida Institute of Technology, April 2016
 PDE seminar, Wayne State University,
Detroit, December 2015
 Mathematics Colloquium, at Indiana
UniversityPurdue University at Indianapolis,
October 2015
 Analysis seminar, University of
Texas at Austin, September 2015
 PDE and applications seminar,
Universitat Politecnica de Catalunya, May 2015
 PDE seminar, Purdue University,
April 2015
 Analysis seminar, Columbia
University, May 2014
 Biomath seminar at Indiana
UniversityPurdue University at Indianapolis,
January 2014
 PDE seminar, Purdue University,
January 2014
Talks in conferences:
 Academic
advise panel in Women in Science Regional
Conference (AWIS), University of Notre
Dame, October, 2016
 Systems of partial differential
equations arising from population dynamics:
Free boundary problems as a result of
segregation, 11th AIMS Conference on
Dynamical Systems, Differential Equations and
Applications: special sessions, Orlando,
Florida, USA, July 2016
 On a long range segregation model,
International Workshop on Calculus of
Variations and its Applications, Lisbon,
Portugal, December 2015
 On a long range segregation model,
6th Symposium on Analysis and PDEs, Purdue
University, West Lafayette, USA, June 2015
 A free boundary problem arising
from segregation of populations with high
competition, JISD2014, Barcelona, Spain,
June 2014
 Regularity of a segregation
problem with an optimal control operator,
Midwest Women in Mathematics Symposium,
University of Notre Dame, USA, February 2014
 HConvergence applied to
linear elasticity problems, XXXV
Congresso National de la Sociedad Matematica
Mexicana, Durango, Mexico, October 2002
