Alina Stancu |
| Professor |
| 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 |
| |
© Octav Cornea, Sausalito, November 2017.
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.
NEWS:
* Vadim Kaloshin delivered the 2019 Nirenberg Lectures on January 22-25, 2019, at the CRM.
The 2018 Nirenberg Lectures in Geometric Analysis
were delivered 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 previous speakers of the series
Alessio Figalli (2014), André Neves (2015), Gunther Uhlmann (2016),
Camillo De Lellis (2017) can also 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
here.
For other outreach activities at Concordia University, please visit
our page.
Selected Recent Papers:
A new counterexample to Sangwine-Yager's conjecture (with J. Lalonde), Mathematical Inequalities & Applications, 22 (2019),
531-537.
Discrete centro-affine curvature for convex polygons, Analytic Aspects of Convexity, Springer INdAM Series, Vol. 25 (2018),
85-101.
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:
Graduate Students:
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:
Winter 2019:
MATH 364 Analysis I
Fall 2018:
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
process,
we will touch upon log-convex functions, duality for sets and functions and, generally, extremum problems.
Winter 2018:
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
here.
Readings I enjoyed,
in reverse chronological order:
Michelle Obama Becoming, 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.
Other Links:
© 2006 Alina Stancu