Mathematics Department

Allen, Mark

Office: 374 TMCB
Phone Number: 801-422-6888
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Click here to view Mark Allen’s Curriculum Vitae

Office Hours: N/A

Class Schedule: No Classes Spring/Summer 2023

Research Interests: Partial Differential Equations

Degrees: Brigham Young University, BS in Mathematics (2007), Purdue University, MA in Mathematics (2009), PhD in Mathematics (2013)

Prizes and Awards:
  • BYU math department Distinguished Research Award
  • Simons Foundation Collaboration Grant recipient
  • NSF postdoc recipient.
  • Research support award from Purdue Research Foundation.
  • Publications:
  • Rectifiability and uniqueness of blow-ups for points with positive Alt-Caffarelli-Friedman limit, with D. Kriventsov and R. Neumayer, submitted [arXiv:2210.03552].
  • Sharp quantitative Faber-Krahn inequalities and the Alt-Caffarelli-Friedman monotonicity formula, with D. Kriventsov and R. Neumayer, submitted [arXiv:2107.03505].
  • Linear Stability Implies Nonlinear Stability for Faber-Krahn Type Inequalities, with D. Kriventsov and R. Neumayer, accepted in Interfaces Free Bound. [arXiv:2107.03495].
  • The Inhomogeneous Boundary Harnack Principle for Fully Nonlinear and p-Laplace equations, accepted in Annales De l’IHP (C)-ANL, [arxiv:2010.11854].