© Octav Cornea, March 2016
| Department of Mathematics & Statistics
| Concordia University
| 1455 de Maisonneuve Blvd. West
| Montreal, QC, H3G 1M8, Canada
| Office: LB 921-27
| Tel: (514) 848-2424 ext 5345 |
| Fax: (514) 848-2831 |
| E-mail: alina.stancuATconcordia.ca |
Research Interests: Geometric analysis, in particular curvature flows, and convex geometry. I am also
interested in notions of generalized curvatures,
convexity in hyperbolic space, geometric inequalities and other extremal problems.
I intend to direct one undergraduate 2019-summer research project in the area of geometric optics.
The mathematics we will study is the theory of light rays built around Fermat’s principle that light
follows paths of shortest time. Yet, to give just two examples, the geometric optics can have different features in the atmosphere
of Earth or when astronomers use telescopes with mirrors shaped like paraboloids to view distant stars. This project
aims at giving mathematical justifications to certain optical phenomena. A second project in a different area is possible.
* Interested students should email me with a few details about their academic background and potential candidates will be called for
a follow-up interview.
* Vadim Kaloshin will deliver the 2019 Nirenberg Lectures (January 22-25, 2019, CRM).
The 2018 Nirenberg Lectures in Geometric Analysis
were delivered at the CRM by Eugenia Malinnikova (NTNU, Trondheim) during
the week of March 12-16, 2018.The videos of her three talks as well as videos of the lectures given by the 2014 speaker
(Alessio Figalli), 2015 speaker (André Neves), 2016 speaker (Gunther Uhlmann) and, respectively,
2017 speaker (Camillo De Lellis) can be found on line at the link above.
* In 2018-19, Concordia's Department of Mathematics and Statistics will be hosting for a fourth consecutive
year a MATH CIRCLE
for students in grades 3-4 and 7-11 wishing to have fun solving challenging math problems.
More info is
For other outreach activities at Concordia University, please visit
In 2017, the Montreal Math Circle benefitted
from an NSERC Promoscience grant and an endowment grant of the Canadian Mathematical Society which, together with the invaluable
logistic support of the ISM,
allowed us to offer a week long
in June 2017. Our NSERC Promoscience grant has been renewed for 2018 and we were happy to offer again a
summer math camp for
high school students.
Selected Recent Papers:
A new counterexample to Sangwine-Yager's conjecture (with J. Lalonde), to appear in Mathematical Inequalities & Applications.
Discrete centro-affine curvature for convex polygons, Analytic Aspects of Convexity, Springer INdAM Series, Vol. 25 (2018),
On Holditch's theorem and Holditch curves (with H. Proppe and R. Stern),
Journal of Convex Analysis, 24 (2017), 239-259.
The logarithmic Minkowski inequality for non-symmetric convex bodies, Advances in Applied Mathematics, 73 (2016), 43–58.
For other publications see the MathSciNet list.
Selected Recent and Upcoming Conferences:
I study the existence and/or the uniqueness of closed convex hypersurfaces of the Euclidean space with certain properties, usually by looking
at the geometric properties of solutions to appropriate partial differential equations. I am also interested in curvature flows and
isoperimetric-type inequalities. One of my current projects focuses on affine invariants of convex bodies and affine invariant inequalities.
Whether a Master's or a PhD, my students'
theses combine techniques from differential geometry, analysis and partial differential equations.
J. Bachrachas, Master (2011) (went on to McGill University to pursue a PhD in Mathematics)
Y. Raad, Master (2011) (went on to University of Ottawa to pursue a PhD in Mathematics)
R. Benty, Master (2012) (went on to University of Waterloo to pursue a PhD in Mathematics)
M. N. Ivaki, PhD (2013),
Recipient of the 2013 Carl Herz Prize
(went on to a postdoctoral position at Technische Universität Wien, Austria.)
T. Nguyen, Master (2013), co-supervised with O. Cornea (went to Université de
Montréal's PhD program in Physics)
S. Vikram, Master (2016) (continued into Concordia's PhD program in Mathematics)
Z. Abbas, Master (2017) (went on to work in industry as an analyst for a Montreal based Environmental Engineering firm)
E. Cyrenne, Master (2018) (went on to pursue a career in teaching at pre-University level)
M. AlHilani, Master (2018) (went on to pursue a career in teaching at pre-University level)
X. Yang, Master (2018) (went on to the PhD program in Quantitative Life Sciences at McGill University)
A. Kratsios, PhD (2018), co-supervised with C. Hyndman (went on to a postdoctoral position at ETH Zürich)
I currently supervise two MSc students, one PhD student and co-supervise one PhD student.
Teaching: "Within five years, there will be 2.4 million STEM jobs openings." (NYTimes, December 7, 2013,
"Who Says Math Has to Be Boring?") ARE YOU READY?
*A selection of my recent or up-coming courses:
MATH 479 / MAST 661A / MAST 8xx
Convex and Nonlinear Analysis Starting with classical inequalities for
convex sets and functions, the course’s aim is to present famous geometric inequalities like the Brunn-Minkowski inequality
and its related functional form, Prekopa-Leindler, the Blaschke-Santalo inequality, the Urysohn inequality, as well as more
modern results such as the reverse isoperimetric inequality, or the Brascamp-Lieb inequality and its reverse form. In the
we will touch upon log-convex functions, duality for sets and functions and, generally, extremum problems.
MATH 480A (MAST 653, MATH 621)
Geometry and Topology This is a first course in the differential geometry of
curves and surfaces. We will talk about curvature, standard non-Euclidean type geometries like the hyperbolic space, and some
elements of topology.
Women and Mathematics:
American Women in Mathematics has a student chapter in Montreal!
The site offers numerous opportunities for male and female students alike. For more info, please click
Readings I enjoyed,
in reverse chronological order:Caroline Hulse The adults (perfect for the Winter holidays ha ha), Weike Wang Chemistry, Candace Fleming The Family Romanov:
Murder, Rebellion, and the Fall of Imperial Russia,
Michel Houellebecq Soumission, Herman Koch The Dinner, Robert Littell The visiting professor,
Claire Holden Rothman My October, Bill Browder Red Notice,
Edward Frenkel Love and Math, Graeme Simsion The Rosie Project (light, but hilarious, much in the spirit of The curious incident of the
dog in the nighttime
set in academia!), Vasili Grosssman Panta Rhei, Cédric Villani
Théorème Vivant, Paul Cornea Ce a fost Cum a fost.
© 2006 Alina Stancu