Homepage of Magnus Botnan

Contact Information

Magnus Bakke Botnan

PhD candidate in topology.

Address: Department of Mathematical Sciences
NTNU
NO-7491 Trondheim
Norway
Office: 1242, Sentralbygg 2
Phone: +47 73 55 02 38
Email: [my last name][at]math[dot]ntnu[dot]no

Content

Research activities

I work within the field of applied algebraic topology with main focus on different aspects of persistent homology and possible applications thereof. I will add a more detailed description at some point.

Papers

Talks/Posters

  • Metrics on Persistence Modules and an Application to Neuroscience. Slides, Nordic Topology Meeting 2014. NTNU, November 28, 2014.
  • Topological Analysis of CCC Data. Poster presentation ATMCS6. UBC, Vancouver, May 27, 2014
  • Approximating Persistent Homology in Euclidean Space Through Collapses. Poster presentation. IMA, March 4, 2014.
  • The Euler characteristic: from the birth of algebraic topology to modern day applications. Student seminar. NTNU. March 15, 2012.
  • Multiple seminars: persistent homology, zigzag persistence, discrete Morse theory. Geometry/Topology seminar. NTNU. October, 2011-.

Conferences/Workshops

Teaching

Fall 2013: TA in MA0001 Mathematical Methods A
Spring 2013: TA in MA1103 Vector Calculus
Fall 2012: TA in MA1301 Number Theory and teaching MA6301.
Spring 2012: TA in MA1102 Basic Calculus II and teaching MA6102.

Mathematical pastimes

  • It is well-known that both  e  and  \pi  are transcendental but it is not known whether  e+\pi  and  e\cdot\pi  are irrational or not. Show that at most one of them is rational.
  • Show that there exist irrational reals  a  and  b  such that  a^b  is rational.
  • If you choose an answer to this question at random, what is the probability that you will be correct? a.) 25%, b.) 50%, c.) 60%, d.) 25%.