# Research Interests

- Random spatial structures from nuclear physics to gamma-ray astronomy
- Statistical physics and physics of condensed matter
- New exotic states of matter
- Random tessellations, hyperuniformity and hyperfluctuating structures, new states of matter
- Interplay between physics and geometry of complex structures
- Stochastic geometry from random fields to porous media, from analytics to numerics
- Sensitive and robust shape descriptors derived from integral geometry
- Statistical methods for spatial data analyses
- Percolation; fractal percolation; topology
- Biological tissues and nanostructures; anisotropy

# Links to

- my PhD thesis 'Morphometry of random spatial structures in physics'
- my doctoral research in the Elite network of Bavaria
- my talk at the Bavarian evening at the Lindau Nobel Laureate Meeting 2015
- my ResearcherID: K-5863-2016 and ORCID ID: 0000-0002-1029-5960,
- our Research Unit 'Geometry and Physics of Spatial Random Systems'

# Publications

## Preprints

- M. A. Klatt and S. Torquato. Characterization of maximally random jammed sphere packings. III. Transport and Electromagnetic Properties Via Correlation Functions. arXiv:1710.04268 (2017)

- M. A. Klatt and K. Mecke. Morphometric analysis in gamma-ray astronomy using Minkowski functionals: III. Sensitivity increase via a refined structure quantification. arXiv:1710.03543 (2017)

- M. A. Klatt and K. Mecke. Morphometric analysis in gamma-ray astronomy using Minkowski functionals: II. Joint structure quantification. arXiv:1710.03542 (2017)

- B. Ebner, N. Henze, M. A. Klatt, K. Mecke. Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images. arXiv:1710.02333 (2017)

## Book Chapters

- M. A. Klatt, G. Last, K. Mecke, C. Redenbach, F. M. Schaller, G. E. Schröder-Turk. Cell shape analysis of random tessellations based on Minkowski tensors. In Lecture Notes in Mathematics
*Tensor Valuations and their Applications in Stochastic Geometry and Imaging*(eds. E. B. Vedel Jensen and M. Kiderlen)**2177**:385--421 (Springer International Publishing, 2017)

- D. Hug, M. A. Klatt, G. Last, M. Schulte. Second order analysis of geometric functionals of Boolean models. In Lecture Notes in Mathematics
*Tensor Valuations and their Applications in Stochastic Geometry and Imaging*(eds. E. B. Vedel Jensen and M. Kiderlen)**2177**:339--383 (Springer International Publishing, 2017)

## In Peer-Reviewed Journals

- M. A. Klatt, G. E. Schröder-Turk, K. Mecke. Mean-intercept anisotropy analysis of porous media. II. Conceptual shortcomings of the MIL tensor definition and Minkowski tensors as an alternative.
*Med. Phys.***44**:3663--3675 (2017)

- M. A. Klatt, G. E. Schröder-Turk, K. Mecke. Mean-intercept anisotropy analysis of porous media. I. Analytic formulae for anisotropic Boolean models.
*Med. Phys.***44**:3650--3662 (2017)

- B. D. Wilts, B. Apeleo Zubiri, M. A. Klatt, B. Butz, M. G. Fischer, S. T. Kelly, E. Spiecker, U. Steiner, G. E. Schröder-Turk. Butterfly gyroid nanostructures as a time-frozen glimpse of intracellular membrane development.
*Science Advances*,**3**:e1603119-1--8 (2017)

- M. A. Klatt, G. E. Schröder-Turk, K. Mecke. Anisotropy in finite continuum percolation: Threshold estimation by Minkowski functionals.
*J. Stat. Mech.-Theory E.*,**2017**:023302-1--28 (2017)

- M. A. Klatt, S. Torquato. Characterization of maximally random jammed sphere packings. II. Correlation functions and density fluctuations.
*Phys. Rev. E*,**94**:022152-1--22 (2016)

- C. Scholz, F. Wirner, M. A. Klatt, D. Hirneise, G. E. Schröder-Turk, K. Mecke, and C. Bechinger. Direct Relations between Morphology and Transport in Boolean Models.
*Phys. Rev. E*,**92**:043023-1--11 (2015)

- B. Schuetrumpf, M. A. Klatt, K. Iida, G. E. Schröder-Turk, J. A. Maruhn, K. Mecke, and P.-G. Reinhard. Appearance of the Single Gyroid Network Phase in 'Nuclear Pasta' Matter.
*Phys. Rev. C*,**91**: 025801-1--7 (2015)

- M. A. Klatt and S. Torquato. Characterization of Maximally Random Jammed Sphere Packings: Voronoi Correlation Functions.
*Phys. Rev. E*,**90**:052120-1--12 (2014)

- J. Hörrmann, D. Hug, M. A. Klatt, and K. Mecke. Minkowski Tensor Density Formulas for Boolean Models.
*Adv. Appl. Math.*,**55**:48--85 (2014)

- D. Göring, M. A. Klatt, C. Stegmann, and K. Mecke. Morphometric Analysis in Gamma-Ray Astronomy using Minkowski Functionals.
*Astron. Astrophys.*,**555**:A38-1--7 (2013)

- B. Schuetrumpf, M. Klatt, K. Iida, J. Maruhn, K. Mecke, and P.-G. Reinhard. Time-dependent Hartree-Fock Approach to Nuclear 'Pasta' at Finite Temperature.
*Phys. Rev. C*,**87**:055805-1--6 (2013)

- G. E. Schröder-Turk, W. Mickel, S. C. Kapfer, M. A. Klatt, F. M. Schaller, M. J. F. Hoffmann, N. Kleppmann, P. Armstrong, A. Inayat, D. Hug, M. Reichelsdorfer, W. Peukert, W. Schwieger, and K. Mecke. Minkowski Tensor Shape Analysis of Cellular, Granular and Porous Structures.
*Adv. Mater.*,**23**:2535--2553 (2011)

## Conference Proceedings

- B. Schuetrumpf, M. A. Klatt, K. Iida, G. E. Schröder-Turk, J. A. Maruhn, K. Mecke, and P.-G. Reinhard. Minimal Surfaces in Nuclear Pasta with the Time-Dependent Hartree-Fock Approach.
*PoS Bormio*,**2014**:032-1--8 (2014)

- M. A. Klatt, T. Ichikawa, K. Iida, N. Itagaki, J. A. Maruhn, K. Matsuyanagi, K. Mecke, S. Ohkubo, P.-G. Reinhard, and B. Schuetrumpf. Exotic Cluster Structures in the Mean-Field Theory.
*J. Phys.: Conf. Ser.*,**445**:012036-1--6 (2013)

- B. Schuetrumpf, M. A. Klatt, K. Iida, J. A. Maruhn, K. Mecke, and P.-G. Reinhard. Time-Dependent Hartree-Fock Approach to Nuclear Pasta at Finite Temperature.
*J. Phys.: Conf. Ser.*,**426**:012009-1--6 (2013)

- M. A. Klatt, D. Göring, C. Stegmann, and K. Mecke. Shape Analysis of Counts Maps.
*AIP Conf. Proc.*,**1505**:737--740 (2012)

# Curriculum Vitae

## Positions and Employment

- 07/2015-present: Postdoctoral Fellow at the Karlsruhe Institute of Technology
- 02/2011-02/2012: Research and Teaching Assistant at the University of Erlangen-Nürnberg

## Education

- 02/2016: Dr. rer. nat., Department of physics, University of Erlangen-Nürnberg
- 01-06/2014: Visiting Student Research Collaborator at Princeton University
- 02/2011-06/2015: PhD student at the University of Erlangen-Nürnberg
- 12/2010: Diploma in physics with honors, grade 1.0, University of Erlangen-Nürnberg
- 10/2006-12/2010: Undergraduate student at the Universities of Erlangen-Nürnberg and Regensburg
- 04-09/2006: Distance learning at the University of Kaiserslautern
- 06/2005: High school diploma (Abitur), grade 1.0

## Awards

- 10/2017: Kulturpreis Bayern, Price for Culture and Science of the Federal State of Bavaria
- 10/2016: Ohm Prize of the University of Erlangen-Nürnberg for an outstanding dissertation in 2015/2016
- 06-07/2015: Participant of the 65th Lindau Nobel Laureate Meeting
- 03/2015: Best Poster Award at the 18th Workshop on Stochastic Geometry
- 03/2012-08/2014: PhD Fellow of the German National Merit Foundation
- 10/2011: Ohm Prize of the University of Erlangen-Nürnberg for an outstanding diploma thesis in 2010/2011
- 09/2008-12/2010: Fellow of the German National Merit Foundation
- 04/2008-02/2016 Scholar of the Elite Graduate Program of the State of Bavaria "Physics with Integrated Doctorate Program"
- 10/2005-03/2011: Scholar of the "Max Weber-Program of the State of Bavaria for the support of the highly-gifted"

# Presentations

## 65th Lindau Nobel Laureate Meeting

- Complex and Disordered Structures: from Supernovae to Medical Diagnostics, Talk at the Bavarian Evening at the 65th Lindau Nobel Laureate Meeting, Lindau, Germany (Jul. 2015)

- Minkowski Tensors: Sensitive Measures of Anisotropy for Random Spatial Structures, Talk at the Master Class with Kurt Wüthrich at the 65th Lindau Nobel Laureate Meeting, Lindau, Germany (Jul. 2015)

## Invited Conference Presentation

- Universal hidden order in amorphous cellular geometries, Talk at the International Conference on Geometry and Physics of Spatial Random Systems, Bad Herrenalb, Germany (Sep. 2017)

- Shape of Anisotropic Random Fields, Talk at the International Conference on Geometry and Physics of Spatial Random Systems, Bad Herrenalb, Germany (Sep. 2015)

## Contributed Conference Presentations

- Anisotropy in finite continuum percolation: threshold estimation by Minkowski functionals, Talk at the 19th Workshop on Stochastic Geometry, Stereology and Image Analysis, Luminy, France (May 2017)

- Shape analysis of disordered structures across length scales, Talk at the spring school "Probability in mathematics and physics", Darmstadt, Germany (Mar. 2017)

- Shape analysis of random fields in physics, Talk at the 6th Workshop on Geometry and Physics of Spatial Random Systems, Hohenwart, Germany (Dec. 2016)

- Anisotropic Gaussian Random Fields Characterized by Minkowski Tensors, Talk at the DPG Spring Meeting, Regensburg, Germany (Mar. 2016)

- Characterization of Anisotropic Gaussian Random Fields by Minkowski Tensors, Talk at the 12th German Probability and Statistics Days, Bochum, Germany (Mar. 2016)

- Nuclear Pasta and Butterfly Scales United by the Same Spatial Microstructure, Poster at the International Conference "Shape Up: Exercises in Materials Geometry and Topology", Berlin, Germany (Sep. 2015)

- Morphometry of Random Fields in Physics, Poster at the 18th Workshop on Stochastic Geometry, Stereology and Image Analysis, Lingen, Germany (Mar. 2015)

- Characterization of Maximally Random Jammed Sphere Packings using Voronoi Correlation Functions, Poster at the International Conference "Jam-Packed: Conference on Packing and Jamming of Particulate Systems", Erlangen, Germany (Sep. 2014)

- Characterization of Maximally Random Jammed Sphere Packings using Voronoi Correlation Functions, Talk at the Workshop on Tensor Valuations in Stochastic Geometry and Imaging, Sandbjerg, Denmark (Sep. 2014)

- Characterizing Maximally Random Jammed Sphere Packings using Minkowski Functionals and Tensors, Talk at the 111th Statistical Mechanics Conference, Rutgers University, New Jersey, USA (May, 2014)

- Structure of Randomness. Talk at the Forum for Doctoral Students of the German Academic Scholarship Foundation, Cologne, Germany (Nov. 2013)

- Morphometric Analysis in Gamma-ray Astronomy, Poster at the International Conference on Geometry and Physics of Spatial Random Systems, Freudenstadt, Germany (Sep. 2013)

- Percolation Threshold for Anisotropic Continuum Percolation, Talk at the 4th Workshop on Geometry and Physics of Spatial Random Systems, Aarhus, Denmark (Apr. 2013)

- Papaya and Karambola: a Practical Demonstration, Talk at the 4th Workshop on Geometry and Physics of Spatial Random Systems, Aarhus, Denmark (Apr. 2013)

- Minkowski Maps: Detection of Diffuse Signals with Strong Background Noise, Poster at the DPG Spring Meeting, Regensburg, Germany (Mar. 2013)

- Quantifying Shape in Heterogeneous Media by Minkowski Tensors, Talk at the DPG Spring Meeting, Regensburg, Germany (Mar. 2013)

- Morphometric Analysis in Gamma-ray Astronomy, Poster at the 5th International Symposium on High-Energy Gamma-Ray Astronomy, Heidelberg, Germany (Jul. 2012)

- Morphometric Analysis in Gamma-Ray Astronomy Using Minkowski functionals, Talk at the DPG Spring Meeting, Göttingen, Germany (Feb. 2012)

- Morphometric Analysis in Gamma-ray Astronomy, Poster at the 1st Workshop on Geometry and Physics of Spatial Random Systems, Bad Herrenalb, Germany (Jul. 2011)

## Seminar Lectures

- Characterization of Maximally Random Jammed Sphere Packings, Institute for Stochastics, Karlsruhe Insitute of Technology, Germany (Jan. 2017)

- Morphometry of random spatial structures in physics, Special Colloquium, Heidelberg University, Germany (Jul. 2016)

- Morphometry of random spatial structures in physics, CSGB Seminar, Aarhus University, Denmark (Jun. 2016)

- Morphometry of random spatial structures in physics, Special Seminar LMU/MPQ, Chair Professor Theodor W. Hänsch, LMU München, Germany (Apr. 2016)

- Random Spatial Structures: Nuclei, Soft Matter, and the Universe, Meeting of the Elite Graduate Program "Physics with Integrated Doctorate Program", University of Regensburg, Germany (Jan. 2015)

- Minkowski Functionals of Anisotropic Boolean Models, Physics Institute, University of Stuttgart, Germany (Aug. 2014)

- Morphometric Analysis of Random Fields, Theoretical Chemistry, Princeton University, New Jersey, USA (Feb. 2014)

- Morphometric Analysis in Gamma-Ray Astronomy, Telecommunications Laboratory, University of Erlangen-Nürnberg, Germany (May 2013)

- Morphometric Analysis in Gamma-Ray Astronomy, Erlangen Center for Astroparticle Physics, Erlangen, Germany (Feb. 2013)

- Sensitivity Increase via the Morphometric Analysis in Gamma-Ray Astronomy, Instiute of Stochastics, Karlsruhe Institute of Technology, Germany (Jan. 2013)

- Anisotropic Boolean Models: MIL, Minkowski Tensors, and Percolation, Institute of Theoretical Physics, University of Erlangen-Nürnberg, Germany (Jan. 2013)

- Morphometric Analysis in Gamma-Ray Astronomy, Meeting of the Elite Graduate Program "Physics with Integrated Doctorate Program", Plankstetten, Germany (Jun. 2011)

- Morphometric Analysis in Gamma-Ray Astronomy, Erlangen Center for Astroparticle Physics, Erlangen, Germany (Feb. 2011)

- Percolation Threshold for Anisotropic Continuum Percolation, Meeting of the Elite Graduate Program "Physics with Integrated Doctorate Program", University of Erlangen-Nürnberg, Germany (Feb. 2010)

# Images

## Three-dimensional random spatial structure

## Percolation of void clusters of Boolean models

## Bond percolation