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Mark Allen

Associate Professor
Permanent Faculty

Office: 374 TMCB

Office Hours: Winter 2025

  • Monday 1-2 pm
  • Wednesday 10-11 am
  • Thursday 1-2 pm

Class Schedule: Winter 2025

Math 334 Sec 005MWF 2-2:50p3104 JKB
Math 644 Sec 001MWF 11-11:50a112 TMCB

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:

  1. BYU math department Distinguished Research Award
  2. Simons Foundation Collaboration Grant recipient
  3. NSF postdoc recipient.
  4. Research support award from Purdue Research Foundation.

Publications:

  1. Rectifiability and uniqueness of blow-ups for points with positive Alt-Caffarelli-Friedman limit, with D. Kriventsov and R. Neumayer, submitted [arXiv:2210.03552].
  2. Sharp quantitative Faber-Krahn inequalities and the Alt-Caffarelli-Friedman monotonicity formula, with D. Kriventsov and R. Neumayer, submitted [arXiv:2107.03505].
  3. Linear Stability Implies Nonlinear Stability for Faber-Krahn Type Inequalities, with D. Kriventsov and R. Neumayer, accepted in Interfaces Free Bound. [arXiv:2107.03495].
  4. The Inhomogeneous Boundary Harnack Principle for Fully Nonlinear and p-Laplace equations, accepted in Annales De l’IHP (C)-ANL, [arxiv:2010.11854].