# Janna Lierl

##### J. J. Uhl Research Assistant Professor, University of Illinois at Urbana-Champaign

### Research Interests

Probability, Analysis on fractals, Geometric Analysis,

Harnack inequalities, heat kernel estimates, diffusion and jump processes, functional
inqualities, regularity of weak solutions, nonsymmetric Dirichlet forms, subelliptic
operators; analysis on fractals, optimal transport, non-linear analysis.
### Contact

Office: 222 Illini Hall

Email: lierl 'at' illinois.edu

* Department of Mathematics *

1409 W. Green St.

Urbana, IL 61801.

### CV

Curriculum vitae.
### Publications and preprints

- J. Lierl:
* Boundary Harnack principle with explicit decay rates for stable like processes on C^{1,1}-open sets*, submitted (May 2016).

- J. Lierl:
* The Dirichlet heat kernel in inner uniform domains in fractal-type spaces*, 22 pages, submitted (January 2016).

- J. Lierl:
*Parabolic Harnack inequality on fractal-type metric measure Dirichlet spaces*, submitted, arxiv:1509.04804.

(An earlier version of this preprint was titled *Parabolic Moser iteration with time-dependent local forms on metric measure spaces*)

- J. Lierl:
* Scale-invariant boundary Harnack principle on inner uniform domains in fractal-type spaces*, Potential Analysis 43 (2015), no. 4, 717–747.

Original version of this paper (submitted June 2015)

- J. Lierl, L. Saloff-Coste:
* Parabolic Harnack inequality for time-dependent non-symmetric Dirichlet forms*,
submitted April 2015, arxiv:1205.6493.

- J. Lierl, L. Saloff-Coste:
*The Dirichlet heat kernel in inner uniform domains: local results, compact domains and non-symmetric forms*, J. Funct. Anal. 266 (2014), no. 7, 4189–4235.

- J. Lierl, L. Saloff-Coste:
* Scale-invariant Boundary Harnack Principle in Inner Uniform Domains*, Osaka J. Math, 51 (2014), pp. 619–657.

- F. Conrad, M. Grothaus, J. Lierl, O. Wittich:
* Convergence of Brownian motion with a scaled Dirac delta potential*, Proc. Edinb. Math. Soc. (2) 55 (2012), no. 2, 403–427.

### Service

At UIUC, I co-organize our Probability Seminar.

At University of Bonn, I co-organized the workshop "Young Women in Probability 2014".
### Teaching

##### At UIUC:

Spring 2016: Math 285 "Introduction to Differential Equations"
Fall 2015: Math 461 "Probability Theory"
Spring 2015: Math 285 "Introduction to Differential Equations".
Fall 2014: Math 461 "Probability Theory"
##### At Cornell:

Fall 2011: Calculus II
Fall 2010: Calculus II
Fall 2009: TA for Probability I (graduate level).
Fall 2008: TA for Linear Algebra (200-level).