# Holder of the Professorship

### Prof. Dr. Frank Werner

Holder of the Professorship

Professorship for Mathematics at the Chair of Mathematics IX

Emil-Fischer-Straße 30

97074
Würzburg

Building:
30 (Mathematik West)

Room:
00.008

Phone:
+49 931 31-87118

Fax:
+49 931 31-81491

## Memberships

- Gesellschaft für Inverse Probleme e.V. [ Society of Inverse Problems in German Speaking Countries] (http://inverseprobleme.de/)
- DMV-Fachgruppe Stochastik e.V. (http://www.fg-stochastik.de/home.html)
- IFIP Working group 7.4 - Inverse Problems and Imaging (http://www.ifip.org/bulletin/bulltcs/memtc07.htm#wg74)

## Research Interests

My research is located at the interface between statistics and inverse problems, and I am particularly interested in the following topics:

- (Nonlinear) statistical inverse problems and regularization theory,
- uncertainty quantification by simultaneous (minimax) tests for inverse problems and
- applications in biophysics (e.g. fluorescence microscopy), especially with non-Gaussian noise.

#### Education

2004 - 2009 | Studies of mathematics at the Georg-August-Universität Göttingen |

23.01.2009: | Examination (Diplom) in mathematics (passed with distinction) Thesis: "Ein neuer numerischer Ansatz zur L^{p}-Regularisierung" (in German) |

2009 - 2012 | PhD studies in mathematics at the Georg-August-Universität Göttingen Thesis: "Inverse Problems with Poisson data: Tikhonov-type regularization and iteratively regularized Newton methods" |

2012 - 2014 | Postdoctoral research fellow at the institute for numerical and applied mathematics |

2014 - 2020 | Group leader 'Statistical Inverse Problems in Biophysics' at the MPIBPC |

2020 - | Holder of the professorship "Inverse Problems" at the Chair of Scientific Computing in Würzburg |

I am married and father of two sons (*2012 and *2015)

#### Upcoming Events

**2020**

- Chemnitz Symposium on Inverse Problems, integrated into the DMV-Jahrestagung, September 14-17, Chemnitz.
- International Symposium on Nonparametric Statistics, June 15-19, Cyprus.
- International Conference Inverse Problems: Modeling and Simulation, May 24-30, Malta.

#### Academic Travels and Talks

**2019**

- Talk in the Colloquium on Mathematics at the University of Mainz, December 05th: "Statistical Inverse Problems and applications to fluorescence microscopy"
- Chemnitz Symposium on Inverse Problems (on tour), September 30 - October 02, Frankfurt: "Convergence Analysis of (Statistical) Inverse Problems under Conditional Stability Estimates" (slides)
- 2nd IMA Conference On Inverse Problems From Theory To Application, September 4-6, London, United Kingdom: "Convergence Analysis of (Statistical) Inverse Problems under Conditional Stability Estimates" (slides)
- European Meeting of Statisticians, July 22-26, Palermo, Italy: "Statistical Inference for Molecules: How many and Where?"
- Applied Inverse Problems Conference, July 08-12, Grenoble, France.
- Talk at the Berufenachmittag, January 15.
- Visiting Markus Reiß at the HU Berlin, January 7-9, talk in the research seminar on Mathematical Statistics: "Empirical Risk Minimization as Parameter Choice Rule for Filter-based Regularization Methods" (slides)

**2018**

- Visiting Bernd Hofmann at the TU Chemnitz, November 12-16: "Statistical Inference for Molecules: How many and Where?"
- Visiting Shuai Lu at the School of Mathematical Sciences of the Fudan University, September 03-16, Shanghai, China: "Statistical Inverse Problems and applications to fluorescence microscopy"
- Joint Statistical Meetings, July 28 - August 02, Vancouver, Canada: "Multiscale Scanning in Inverse Problems: Applications to super-resolution microscopy" (slides)
- Visiting Farida Enikeeva at the Probability and statistics lab of the Unversity of Poitiers, June 27-30.
- International Conference Inverse Problems: Modeling and Simulation, May 21-25, Malta: "Parameter identification problems with impulsive noise"
- Talk in the seminar Wirkung sucht Ursache at the University of Hamburg, May 08: "Was Fluoreszenz über den Ort und die Anzahl von Molekülen verrät"
- Lorentz Center workshop "Uncertainty Quantification in Complex, Nonparametric Statistical Models", April 16-20, Leiden, The Netherlands: "Statistical Inference for molecules: Where?" (slides)
- 13th German Probability and Statistics Days, February 27 - March 02, Freiburg, Germany: "Empirical Risk Minimization as Parameter Choice Rule for General Linear Regularization Methods" (slides)
- Visiting Fabian Dunker at the School of Mathematics and Statistics of the University of Canterbury, February 12-16, Christchurch, New Zealand: "Statistical Inference for Molecules: How many, When and Where?"

**2017**

- Member of the organizing comittee of the Workshop "Statistics Meets Friends", November 29 - December 01, Göttingen (press release)
- New Trends In Parameter Identification for Mathematical Models (integrating the Chemnitz Symposium on Inverse Problems on tour), October 30 - November 03, IMPA, Rio de Janeiro, Brasil: "Unbiased Risk Estimation as a Parameter Choice Rule for Filter-based Regularization Methods" (slides) (video)
- Lorentz Center workshop "Bayesian and Nonlinear Inverse Problems", August 28 - September 01, Leiden, The Netherlands
- European Meeting of Statisticians, July 24-28, Helsinki, Finland: "Empirical Risk Minimization as Parameter Choice Rule for General Linear Regularization Methods" (slides)
- Applied Inverse Problems Conference, May 29 - June 2, Hangzhou, China: "Support inference in linear statistical Inverse Problems" (slides)

**2016**

- Chemnitz Symposium on Inverse Problems, September 22-23, Chemnitz: "Support inference in linear statistical Inverse Problems" (slides)
- International Conference Inverse Problems: Modeling and Simulation, May 23-28, Fethiye, Turkey

**2015**

- AMISTAT 2015 - Analytical Methods In Statistics, November 10-13, Prague: "Bump detection in heterogeneous Gaussian regression" (slides)
- European Meeting of Statisticians, July 6-10, Amsterdam: "Statistical Inference for Molecules: How many, when and where?"
- Applied Inverse Problems Conference, May 25-29, Helsinki: "Statistical methods in fluorescence microscopy"
- Visiting Farida Enikeeva at the Probability and statistics lab of the University of Poitiers, January 20-24, Poitiers: "Penalized likelihood estimators for Inverse Problems with Poisson data" (slides)

**2014**

- Chemnitz Symposium on Inverse Problems, Chemnitz, Germany: "Statistical Inverse Problems in fluorescence microscopy".
- International Conference Inverse Problems: Modeling and Simulation, Fethiye, Turkey: "Statistical regularization theory for Inverse Problems with Poisson data" (slides).

**2013**

- International Workshop on Inverse Problems and Regularization Theory, Shanghai, China: "Convergence rates for Inverse Problems with Impulsive Noise" (slides).
- Special Session New developments on inverse problems: Banach space setting and hybrid tomography imaging during the second week of the Colloquium of the Brazilian Mathematical Society at IMPA, Rio de Janeiro, Brazil: "Convergence rates for Inverse Problems with Impulsive Noise" (slides).
- Applied Inverse Problems Conference 2013, Daejeon, Korea: "Convergence Rates for Inverse Problems with Impulsive Noise" (slides).

**2012**

- November 16-25, 2012: Research stay at the Australian National University, Canberra, also joining the Canberra Symposium On Regularisation: "Convergence rates in expectation for Tikhonov-type regularization of inverse problems with Poisson data" (slides).
- Oberwolfach workshop
*Computational Inverse Problems*, Oberwolfach, Germany: "Inverse Problems with Poisson data" - DMV Annual Meeting, Saarland University, Saarbrücken, Germany: "Convergence rates in expectation for Tikhonov-type regularization of inverse problems with Poisson data" (slides).
- PhD defense January 23rd: "Inverse Probleme mit Poisson Daten: Verallgemeinerte Tikhonov-Regularisierung und iterativ regularisierte Newton Methoden" (slides, german)

**2011**

- Chemnitz Symposium on Inverse Problems, Chemnitz, Germany: "Iteratively regularized Newton methods with general data misfit functionals and applications to Poisson data"
- Applied Inverse Problems Conference, College Station, Texas, USA: "Iteratively regularized Newton methods with general data misfit functionals and applications to Poisson data" (slides)