Skip to main content
Faculty/Allen, Mark.jpg

Mark Allen

Associate Professor
Permanent Faculty

Office: 374 TMCB

Teaching Schedule Fall 2025

Office Hours
  • Monday 9-9:50 am in 374 TMCB
  • Wednesday 11-11:50 am in 374 TMCB
  • Thursday 2-2:50 pm in 374 TMCB
ClassMATH 113 Sections 007-012MWF 12-12:50pm3108 JKB
MATH 341 Section 001MWF 10-10:50am203 TMCB

Research Interests:


Partial Differential Equations

Degrees:

Brigham Young University, BS in Mathematics (2007)
Purdue University, MA in Mathematics (2009)
Purdue University, 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].

ADVISED FOR THE STUDENT RESEARCH CONFERENCE (SRC) 2025: