I am an assistant professor tenure track and docent at the Department of Mathematics at KTH Royal Institute of Technology. My research interests are in Probability Theory, Mathematical Statistics and Mathematical Physics, with a focus on Random Matrix Theory and Statistical Mechanics. My research is supported by the Göran Gustafsson Foundation and the Swedish Research Council (Grant VR201705195).
Together with Maurice Duits and Kurt Johansson, I am part of the focus group Random Matrices, Stochastic Models and Analysis within the Department of Mathematics at KTH.
Contact
Email:  schnelli at kth dot se  
Address:  KTH Department of Mathematics Lindstedtsvägen 25 SE100 44 Stockholm Sweden 

Office:  3639 on 6th floor  
Maps:  Campus map (pdf) Google maps 

Publications and preprints

Local law and TracyWidom limit for sparse sample covariance matrices
with Jong Yun Hwang and Ji Oon Lee
preprint, arXiv:1806.03186 (2018) 
Spectral rigidity for addition of random matrices at the regular edge
with Zhigang Bao and László Erdős
preprint, arXiv:1708.01597 (2017) 
On the support of the free additive convolution
with Zhigang Bao and László Erdős
to appear in J. Anal. Math. (2018) 
Local single ring theorem on optimal scale
with Zhigang Bao and László Erdős
to appear in Ann. Probab. (2018) 
Local law and TracyWidom limit for sparse random matrices
with Ji Oon Lee
Probab. Theory Related Fields 171(1), 543616 (2018) 
Universality for random matrix flows with timedependent density
with László Erdős
Ann. Inst. Henri Poincaré Probab. Stat. 53(4), 16061656 (2017) 
Convergence rate for spectral distribution of addition of random matrices
with Zhigang Bao and László Erdős
Adv. Math. 319, 251291 (2017) 
Local law of addition of random matrices on optimal scale
with Zhigang Bao and László Erdős
Comm. Math. Phys. 349(3), 947990 (2017) 
TracyWidom distribution for the largest eigenvalue of real sample covariance matrices with general population
with Ji Oon Lee
Ann. Appl. Probab. 26(6), 37863839 (2016) 
Local stability of the free additive convolution
with Zhigang Bao and László Erdős
J. Funct. Anal. 271(3), 672719 (2016) 
Bulk universality for deformed Wigner matrices
with Ji Oon Lee, Ben Stetler and HorngTzer Yau
Ann. Probab. 44(3), 23492425 (2016) 
Extremal eigenvalues and eigenvectors of deformed Wigner matrices
with Ji Oon Lee
Probab. Theory Related Fields 164(1), 165241 (2016) 
Edge universality for deformed Wigner matrices
with Ji Oon Lee
Rev. Math. Phys. 27(8), 1550018 (2015) 
Quantum diffusion with drift and the Einstein relation. II
with Wojciech De Roeck and Jürg Fröhlich
J. Math. Phys. 55, 075207 (2014) 
Quantum diffusion with drift and the Einstein relation. I
with Wojciech De Roeck and Jürg Fröhlich
J. Math. Phys. 55, 075206 (2014) 
Local deformed semicircle law and complete delocalization for Wigner matrices with random potential
with Ji Oon Lee
J. Math. Phys. 54, 103504 (2013)
My papers on arXiv.
Current teaching
 Martingales and Stochastic Integrals SF2971 (Spring 19)
Education and employment
Oct. 2018:  Docent in Mathematics, KTH Royal Institute of Technology  
Since Sept. 2016:  Assistant Professor tenure track at Department of Mathematics KTH Royal Institute of Technology 

2014‒2016:  Postdoc at IST Austria  
2013‒2014:  Member School of Mathematics, Institute for Advanced Study  
2011‒2013:  Postdoc at Department of Mathematics, Harvard University  
2007‒2011:  Ph.D. in theoretical Physics, ETH Zürich, Advisor: Jürg Fröhlich  
2005‒2007:  M.Sc. in Physics, ETH Zürich  
2002‒2005:  B.Sc. in Physics, EPF Lausanne 
Links
 Focus group Random Matrices, Stochastic Models and Analysis

KTH Mathematics Calendar
 Seminars at KTH: Probability, Random Matrix Theory.
 Seminars at AlbaNova University Center: Weekly schedule
 Studying at KTH: Ph.D. programs in mathematics; M.Sc. program in mathematics, joint with Stockholm University SU at Stockholm Mathematics Center SMC
 Not far from KTH: AlbaNova, Stockholm University, MittagLeffler Institute, Uppsala University
 Practical matters: SL start page; closest subway station: Tekniska högskolan (line T14); closest ferry station: Nybrokajen, schedule (pdf); visit Stockholm web page
Updated last: Januar 15, 2019.