Alina Stancu

  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          
© Octav Cornea, March 2016

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 here. For other outreach activities at Concordia University, please visit our page.

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 math camp 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:

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.

I currently supervise two MSc students, one PhD student and co-supervise one PhD student.


"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:

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.

Other Links:

© 2006 Alina Stancu