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Alina Stancu

Professor

Director of the CRM Analysis Lab

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.

Alina Stancu
Professor
Director of the CRM Analysis Lab
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.

NEWS:

* The 2023 Nirenberg Lectures in Geometric Analysis took place the week of October 16, 2023, at the CRM, Montreal. The four lectures were delivered by Misha Bialy (Tel Aviv University) and Sergei Tabachnikov (Penn State). More details, including titles, abstracts and scheduling, are posted at the CRM site . Links to the videos of the lectures can be accessed there as well.

Videos of the lectures given by previous speakers of the series Alessio Figalli (2014), André Neves (2015), Gunther Uhlmann (2016), Camillo De Lellis (2017), Eugenia Malinnikova (2018), Vadim Kaloshin (2019), Antoine Song and Yevgeny Liokumovich (2020), Bo'az Klartag and Yuansi Chen (2021), Jacob Bernstein and Lu Wang (2023) can be found online here. Organizers: Pengfei Guan (McGill), Dima Jakobson (McGill), Iosif Polterovich (U. Montreal), Egor Shelukhin (U. Montreal) and Alina Stancu (Concordia U.).

Selected Recent Papers:

Ancient solutions for flows by powers of the curvature in R^2

The vanishing of the fundamental gap of convex domains in H^n

The fundamental gap of horoconvex domains in H^n

Prescribing Centro-affine Curvature from a Convex Body to Another

Explicit fundamental gap estimates for some convex domains in H^2

A new counterexample to Sangwine-Yager's conjecture

Discrete centro-affine curvature for convex polygons

A flow approach to the fractional Minkowski problem

On Holditch's theorem and Holditch curves

The logarithmic Minkowski inequality for non-symmetric convex bodies

For other publications see the MathSciNet list.

Selected Recent and Upcoming Conferences:

2023 Canadian Mathematical Society Winter Meeting

BIRS

Casa Matematica Oaxaca,

Geometric Inequalities, Convexity and Probability

BIRS-IMAG Granada,

Summer CMS Meeting,

Sectional AMS Meeting,

(ICERM), Brown University

Summer CMS Meeting,

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,

Carl Herz Prize

O. Cornea

S. Vikram, Master (2016) (continued into Concordia's PhD program in Mathematics)

Z. Abbas, Master (2017) (went on to work in industry as 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 the private sector)

X. Yang, Master (2018) (went on to the PhD program in Quantitative Life Sciences at McGill University)

A. Kratsios,

S. Ky, Master (2020) (went on to pursue a career in teaching at pre-University level)

J.M. Fortier, Master (2020) (went on to pursue a career in teaching at pre-University level)

D. Turan, Master (2021) (went on to pursue a career in teaching at pre-University level)

L. Lu, Master (2021) (went on to Queen's University to pursue a PhD in Mathematics)

B. Lazarus, Master (2023) (continued at Concordia University to pursue a graduate degree in Statistics)
I currently supervise three MSc students and two PhD students.

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?

Fall 2023:

Differential Geometry

Winter 2024:

Multidimensional Calculus II and Partial Differential Equations.

Women and Mathematics:

Interview with Michèle Vergne in 1974 (In French)

Readings I enjoyed, in reverse chronological order:

Lea Ypi Free, Catherine Newman We all want impossible things, Yoko Ogawa The Memory Police, Gary Shteyngart Our Country Friends, Yoko Ogawa The Housekeeper and the Professor, Max Gross The Lost Shtetl, Kathy Wang Impostor Syndrome, Jean Hanff Korelitz The Plot, Lynn Steger Strong Want, Catherine Chung The Tenth Muse, Svetlana Alexievich Voices from Chernobyl, Jean Kwok Searching for Sylvie Lee, Marcy Dermansky Very Nice, Katherine Howe The Daughters of Temeprance Hobbs, Cathleen Schine The Grammarians, 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.

Alina Stancu