name  Matthias Heymann  
date of birth  1977 in Frankfurt/Main (Germany)  
education 


interests  probability theory, functional analysis, numerical analysis, applications to biology, physics, chemistry, etc. 

research area  analytical and numerical aspects of large deviation theory 

year 
title  area 
download 
2010  Existence and Properties of Minimum Action Curves for Degenerate Finsler Metrics, M.Heymann  geometry / prob. theory  [monograph] 
Rare Transition Events in Nonequilibrium Systems with StateDependent Noise: Application to Stochastic Current Switching in Semiconductor Superlattices, M. Heymann, S.J.Teitsworth, J.C.Mattingly  theo. phys. / num. math  [paper]  
The sources of rare transitions in continuoustime Markov jump processes, M.Heymann, (in preparation)  prob. theory  
2008  The geometric minimum action method for computing minimum energy paths, E.VandenEijnden and M.Heymann, Jour. Chem. Phys. 128, 061103, 2008  chem. phys. / num. math. 
[paper] 
The Geometric Minimum Action Method: A Least Action Principle on the Space of Curves, M.Heymann and E.VandenEijnden, Comm. Pure Appl. Math. 61.8, 10521117, 2008  prob. theory / num. math. 
[paper]  
2007  Pathways of maximum likelihood for rare events in nonequilibrium systems, Application to nucleation in the presence of shear, M.Heymann and E.VandenEijnden, Phys. Rev. Letters 100.14, 140601, 2007  physics / num. math. 
[paper] 
PhD Thesis: The Geometric Minimum Action Method: A Least Action Principle on the Space of Curves, M.Heymann, New York University, 2007  prob. theory / num. math. 
[thesis] [talk]  
2002  A Model for the Online Time of Network Users, M.Heymann and M.Hansen, unpublished  statistics  [paper] 
A new set of sound commands for R; Sonification of the HMC algorithm, M.Heymann and M.Hansen, ASA Proceedings 2002, Statistical Computing Section, 14391443  statistics  [paper]  
The R sound package: A new set of commands for using sound under R, M.Heymann, available at http://cran.rproject.org  programming  [manual] [package] 

The Stieltjes convolution and a functional calculus for nonnegative operators, M.Heymann, unpublished  func. anal.  [paper]  
2001 
Diploma thesis: Fractional powers of operators, and their applications, M.Heymann, Leibniz Universität Hannover, Germany, 2001  func. anal.  [paper] 
For more detailed descriptions of
the projects, please see the Abstracts section on my
Mathematics site.


 
Please
download the poster of my exhibition for my students' linear
algebra semester project "3D graphics".
[pdf] In 2005 I was nominated for the NYUwide "Dean's Outstanding Graduate Teaching Award". 
language 
skill level (110)  last used  projects 

MatLab  9  2010  main language used for simulations in my research; also used for a graphical user interface in a semester project 
Java  7  2006  user interface for tablet PCs, combining simultaneous input by microphone and stylus pen 
R(SPLUS)  7  2002  main language for my data analysis project at Bell Labs, and for my sonification project at Bell Labs for which I programmed a new set of sound commands for R that is now available for download on the official R website. 
Pearl  3  2004  used for parsing my data files at Bell Labs, and for the student login and grade requests on my course websites 
C++  2  2006  briefly used in my PhD thesis 
HTML  7  2009  several course websites and my private website; I edit about half of the HTML source code by hand 
LaTeX  10  2010  see "Papers & Publications" 
Further experience includes many years of experience in Commodore 64 Assembler as a teenager. 
In my diploma thesis and subsequent work in functional analysis
I developed a functional calculus for nonnegative operators on a Banach
space, based on a distributional generalization of the classical Stieltjes
transform and a convolution operation on the space of Stieltjestransformable
distributions that I defined.
I then spent one year in the Department of Statistics and Data Mining at Bell Labs, Murray Hill, NJ. Here I was introduced to the tools and methods commonly used by data analysts, including the programming language R that I used extensively throughout that year in a project in which I modeled and analyzed internet traffic data. As a separate project I developed a package of new commands for dealing with sound under R that is now downloadable on the official R developers website. The lectures that I attended as a graduate student at NYU were mostly related to various aspects of probability theory, and in the bioinformatics department at NYU I learned the basics of genetics. With my advisor Prof. VandenEijnden I was working on numerical and analytical aspects of the theory of rare events. In particular, we characterized maximum likelihood transition curves as the minimizers of a geometric action, and based on this description we developed an algorithm for computing this minimum action curve. In my current research I develop criteria for the existence of minimizers of such geometric actions. I also prove that transition curves pass critical points as they cross from one basin of attraction to another. For details, see my research statement. 
classical piano, electronic music, Argentine Tango, Salsa, music theory (in particular composition techniques of Liszt and Chopin) 