November 10, 2017

Max-Planck-Institut für Mathematik
in den Naturwissenschaften
Inselstraße 22
04103 Leipzig

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Dear Selection Committee Members

I am writing to apply for International Max Planck Research School Mathematics in the Sciences (IMPRS MiS) Graduate program for vacancies in Institute of Mathematics, Institute of Computer Science and Institute of Physics and Earth Science of the University of Leipzig, and the Max Planck Institute for Mathematics in the Sciences. I respectfully submit this letter of application, for I believe my education qualification and research experiences meet the needs of this Graduate Program.

I am enrolled in BS-MS Dual Degree program at Indian Institute of Science Education and Research (IISER), Mohali and fully expect to complete my degree by May 2018. Currently I am doing my Master Thesis under the supervision of Dr. Neeraja Sahasrabudhe on Interacting Urn Models. In my Master thesis I am using Stochastic Approximation techniques to get results for synchronization of a finite network of urns. I have done summer and winter projects on probability theory topics like concentration Inequalities, Random point processes, Gaussian Analytic functions, Information theory, Stochastic Differential Equations and Financial Mathematics with a focus on stochastic processes and their applications. My projects and thesis work provide me a strong background for pursuing research in the field of stochastic Dynamics and Random networks Analysis.

Several Mandatory and Elective courses in my coursework have provided me with a broad view of application of stochastic models in various fields. Also in the first two years of my degree program I have studied all the basic courses from Physics, Chemistry, Biology, Computer Science and Humanities which have given me skills to work in interdisciplinary areas. I also have good programming skills and a good hand in working with python, Mathematica, GNU plot and Matlab.

Homepage of IMPRS Graduate School mentions stochastic processes and many particle systems as its specific areas of research which encouraged me to apply to this program. I strongly believe that alignment of my electives with my research interests and versatility in projects makes me a good PhD candidate. Pursuing a PhD would add more to my research experience and provide me with better opportunities to carry out research in an academic setting. I look forward to hear from you soon. Thank you very much for your consideration.


Somya Singh

IISER, Mohali



1.     CV

2.     Statement of Master’s Thesis

3.     Transcript of examination Results


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