Mathematics

These are complementary notes for a StuVo talk I gave at Technische Universität Darmstadt, 10 December 2007. While this text is supposed to be informal in nature, any corrections as well as suggestions are very welcome. read more »

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nonstandard.pdf

Imagine you want to hire exactly one secretary. There is a fixed number, say, N persons available for this job and you may invite each of them for an interview. However, you have to tell each one right after the interview if you will hire her. Now, what is your strategy? read more »

These are the slides as well as the handout of my presentation for the Elliptic Functions class held by Victor H. Moll at Tulane University in Spring 2007. read more »

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ramanujantau.pdf

ramanujantau-presentation.pdf

This short introduction to Eulerian numbers accompanied my talk for the WZ Theory class held by Tewodros Amdeberhan at Tulane University in Spring 2007. read more »

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euleriannumbers.pdf

euleriannumbers-presentation.pdf

This handout accompanied my talk in the Spring 2007 seminar on Fermat's Last Theorem held by Michael Joyce at Tulane University. read more »

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hermitenormalform.pdf

Consider the ring of integers modulo some number n. Does there exist a square root of -1 in ? Equivalently, does there exist an integer x such that n divides x² + 1? read more »

This document is based on my notes taken at lectures about Gaussian random functions which were held by visiting Prof. Dr. M. Lifshits (University of St. Petersburg) at Technische Universität Darmstadt from 11 to 22 July 2005. read more »

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gaussian.pdf