Faculty Biography

  Ali Maalaoui

  Associate Professor and Chair
  Department of Mathematics
  Clark University
  Worcester, MA 01610-1477

  Phone: 508-793-7613
  Email: amaalaoui@clarku.edu

  Research Website

 


Education

Ali Maalaoui obtained his Ph.D. in Mathematics from Rutgers University in 2013. From 2013 to 2014, he was a postdoctoral fellow at the University of Basel in Switzerland. Before joining Clark University, he was an associate professor of mathematics at American University of Ras Al Khaimah in the UAE.

Current Research and Teaching

Professor Maalaoui’s research area is in geometric analysis and calculus of variations with focus on conformal and CR geometries. This area involves the study of critical geometric PDEs exhibiting energy concentration and bubbling phenomena. Professor Maalaoui has background and experience in teaching Mathematics courses at all levels.


Selected Publications

“Q'-curvature flow on Pseudo-Einstein CR manifolds,” (with V. Martino) submitted.

“Compactness of Dirac-Einstein spin manifolds and horizontal deformations,” (with V. Martino) submitted.

“Singular CR structures of constant Webster curvature and applications,” (with C. Guidi and V. Martino) submitted.

“Functional Determinant on Pseudo-Einstein 3-Manifolds.” Pacific Journal of Mathematics 309 (2020).

“Some Properties of Dirac-Einstein Bubbles," (with W. Borrelli) Journal of Geometric Analysis (2020).

“Existence Results for the Conformal Dirac-Einstein System," (with W. C. Guidi and V. Martino) Advanced Nonlinear Studies (2020).

“Interpolations and fractional Sobolev spaces in Carnot groups," (with A. Pinamonti) Nonlinear Analysis, Volume 179 (2019).

“Characterization of the Palais-Smale sequences for the conformal Dirac-Einstein Problem and Applications," (with V. Martino) J. Differential Equations 266 (2019).

“Palais-Smale sequences for the fractional CR Yamabe functional and multiplicity results," (with W. C. Guidi and V. Martino) Calc. Var. Partial Differential Equations 57 (2018).

“Norm Constants in cases of the Caffarelli-Kohn-Nirenberg Inequality," (with A. L. Chanillo and S. Chanillo) Pacific Journal of Mathematics. Volume 292 (2018).

“On the Chern-Yamabe Flow," (with M. Lejmi) Journal of Geometric Analysis (2017).

“Blow-up Behaviour of a Fractional Adams-Moser-Trudinger Type Inequality in Odd Dimension," (with L. Martinazzi, and A. Schikorra) Communications in Partial Differential Equations. Volume 41 (2016).

“The Rabinowitz-Floer Homology for a Class of Semi-linear Problems and Applications," (with V. Martino) Journal of Functional Analysis. Volume 269 (2015).

“Infinitely Many Solutions for the Spinorial Yamabe Problem on the Round Sphere." Nonlinear Differential Equations and Applications. Volume 23 (2016).

“Rabinowitz-Floer Homology for Super-quadratic Dirac Equations on Compact Spin Manifolds." Journal of Fixed Point Theory and Applications. Volume 13. (2013).